summaryrefslogtreecommitdiffstats
path: root/plato_time.otx
blob: 107c0ccdb2653f24b78e053ff3bfc889da4efc54 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515
1516
1517
1518
1519
1520
1521
1522
1523
1524
1525
1526
1527
1528
1529
1530
1531
1532
1533
1534
1535
1536
1537
1538
1539
1540
1541
1542
1543
1544
1545
1546
1547
1548
1549
1550
1551
1552
1553
1554
1555
1556
1557
1558
1559
1560
1561
1562
1563
1564
1565
1566
1567
1568
1569
1570
1571
1572
1573
1574
1575
1576
1577
1578
1579
1580
1581
1582
1583
1584
1585
1586
1587
1588
1589
1590
1591
1592
1593
1594
1595
1596
1597
1598
1599
1600
1601
1602
1603
1604
1605
1606
1607
1608
1609
1610
1611
1612
1613
1614
1615
1616
1617
1618
1619
1620
1621
1622
1623
1624
1625
1626
1627
1628
1629
1630
1631
1632
1633
1634
1635
1636
1637
1638
1639
1640
1641
1642
1643
1644
1645
1646
1647
1648
1649
1650
1651
1652
1653
1654
1655
1656
1657
1658
1659
1660
1661
1662
1663
1664
1665
1666
1667
1668
1669
1670
1671
1672
1673
1674
1675
1676
1677
1678
1679
1680
1681
1682
1683
1684
1685
1686
1687
1688
1689
1690
1691
1692
1693
1694
1695
1696
1697
1698
1699
1700
1701
1702
1703
1704
1705
1706
1707
1708
1709
1710
1711
1712
1713
1714
1715
1716
1717
1718
1719
1720
1721
1722
1723
1724
1725
1726
1727
1728
1729
1730
1731
1732
1733
1734
1735
1736
1737
1738
1739
1740
1741
1742
1743
1744
1745
1746
1747
1748
1749
1750
1751
1752
1753
1754
1755
1756
1757
1758
1759
1760
1761
1762
1763
1764
1765
1766
1767
1768
1769
1770
1771
1772
1773
1774
1775
1776
1777
1778
1779
1780
1781
1782
1783
1784
1785
1786
1787
1788
1789
1790
1791
1792
1793
1794
1795
1796
1797
1798
1799
1800
1801
1802
1803
1804
1805
1806
1807
1808
1809
1810
1811
1812
1813
1814
1815
1816
1817
1818
1819
1820
1821
1822
1823
1824
1825
1826
1827
1828
1829
1830
1831
1832
1833
1834
1835
1836
1837
1838
1839
1840
1841
1842
1843
1844
1845
1846
1847
1848
1849
1850
1851
1852
1853
1854
1855
1856
1857
1858
1859
1860
1861
1862
1863
1864
1865
1866
1867
1868
1869
1870
1871
1872
1873
1874
1875
1876
1877
1878
1879
1880
1881
1882
1883
1884
1885
1886
1887
1888
1889
1890
1891
1892
1893
1894
1895
1896
1897
1898
1899
1900
1901
1902
1903
1904
1905
1906
1907
1908
1909
1910
1911
1912
1913
1914
1915
1916
1917
1918
1919
1920
1921
1922
1923
1924
1925
1926
1927
1928
1929
1930
1931
1932
1933
1934
1935
1936
1937
1938
1939
1940
1941
1942
1943
1944
1945
1946
1947
1948
1949
1950
1951
1952
1953
1954
1955
1956
1957
1958
1959
1960
1961
1962
1963
1964
1965
1966
1967
1968
1969
1970
1971
1972
1973
1974
1975
1976
1977
1978
1979
1980
1981
1982
1983
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
2041
2042
2043
2044
2045
2046
2047
2048
2049
2050
2051
2052
2053
2054
2055
2056
2057
2058
2059
2060
2061
2062
2063
2064
2065
2066
2067
2068
2069
2070
2071
2072
2073
2074
2075
2076
2077
2078
2079
2080
2081
2082
2083
2084
2085
2086
2087
2088
2089
2090
2091
2092
2093
2094
2095
2096
2097
2098
2099
2100
2101
2102
2103
2104
2105
2106
2107
2108
2109
2110
2111
2112
2113
2114
2115
2116
2117
2118
2119
2120
2121
2122
2123
2124
2125
2126
2127
2128
2129
2130
2131
2132
2133
2134
2135
2136
2137
2138
2139
2140
2141
2142
2143
2144
2145
2146
2147
2148
2149
2150
2151
2152
2153
2154
2155
2156
2157
2158
2159
2160
2161
2162
2163
2164
2165
2166
2167
2168
2169
2170
2171
2172
2173
2174
2175
2176
2177
2178
2179
2180
2181
2182
2183
2184
2185
2186
2187
2188
2189
2190
2191
2192
2193
2194
2195
2196
2197
2198
2199
2200
2201
2202
2203
2204
2205
2206
2207
2208
2209
2210
2211
2212
2213
2214
2215
2216
2217
2218
2219
2220
2221
2222
2223
2224
2225
2226
2227
2228
2229
2230
2231
2232
2233
2234
2235
2236
2237
2238
2239
2240
2241
2242
2243
2244
2245
2246
2247
2248
2249
2250
2251
2252
2253
2254
2255
2256
2257
2258
2259
2260
2261
2262
2263
2264
2265
2266
2267
2268
2269
2270
2271
2272
2273
2274
2275
2276
2277
2278
2279
2280
2281
2282
2283
2284
2285
2286
2287
2288
2289
2290
2291
2292
2293
2294
2295
2296
2297
2298
2299
2300
2301
2302
2303
2304
2305
2306
2307
2308
2309
2310
2311
2312
2313
2314
2315
2316
2317
2318
2319
2320
2321
2322
2323
2324
2325
2326
2327
2328
2329
2330
2331
2332
2333
2334
2335
2336
2337
2338
2339
2340
2341
2342
2343
2344
2345
2346
2347
2348
2349
2350
2351
2352
2353
2354
2355
2356
2357
2358
2359
2360
2361
2362
2363
2364
2365
2366
2367
2368
2369
2370
2371
2372
2373
2374
2375
2376
2377
2378
2379
2380
2381
2382
2383
2384
2385
2386
2387
2388
2389
2390
2391
2392
2393
2394
2395
2396
2397
2398
2399
2400
2401
2402
2403
2404
2405
2406
2407
2408
2409
2410
2411
2412
2413
2414
2415
2416
2417
2418
2419
2420
2421
2422
2423
2424
2425
2426
2427
2428
2429
2430
2431
2432
2433
2434
2435
2436
2437
2438
2439
2440
2441
2442
2443
2444
2445
2446
2447
2448
2449
2450
2451
2452
2453
2454
2455
2456
2457
2458
2459
2460
2461
2462
2463
2464
2465
2466
2467
2468
2469
2470
2471
2472
2473
2474
2475
2476
2477
2478
2479
2480
2481
2482
2483
2484
2485
2486
2487
2488
2489
2490
2491
2492
2493
2494
2495
2496
2497
2498
2499
2500
2501
2502
2503
2504
2505
2506
2507
2508
2509
2510
2511
2512
2513
2514
2515
2516
2517
2518
2519
2520
2521
2522
2523
2524
2525
2526
2527
2528
2529
2530
2531
2532
2533
2534
2535
2536
2537
2538
2539
2540
2541
2542
2543
2544
2545
2546
2547
2548
2549
2550
2551
2552
2553
2554
2555
2556
2557
2558
2559
2560
2561
2562
2563
2564
2565
2566
2567
2568
2569
2570
2571
2572
2573
2574
2575
2576
2577
2578
2579
2580
2581
2582
2583
2584
2585
2586
2587
2588
2589
2590
2591
2592
2593
2594
2595
2596
2597
2598
2599
2600
2601
2602
2603
2604
2605
2606
2607
2608
2609
2610
2611
2612
2613
2614
2615
2616
2617
2618
2619
2620
2621
2622
2623
2624
2625
2626
2627
2628
2629
2630
2631
2632
2633
2634
2635
2636
2637
2638
2639
2640
2641
2642
2643
2644
2645
2646
2647
2648
2649
2650
2651
2652
2653
2654
2655
2656
2657
2658
2659
2660
2661
2662
2663
2664
2665
2666
2667
2668
2669
2670
2671
2672
2673
2674
2675
2676
2677
2678
2679
2680
2681
2682
2683
2684
2685
2686
2687
2688
2689
2690
2691
2692
2693
2694
2695
2696
2697
2698
2699
2700
2701
2702
2703
2704
2705
2706
2707
2708
2709
2710
2711
2712
2713
2714
2715
2716
2717
2718
2719
2720
2721
2722
2723
2724
2725
2726
2727
2728
2729
2730
2731
2732
2733
2734
2735
2736
2737
2738
2739
2740
2741
2742
2743
2744
2745
2746
2747
2748
2749
2750
2751
2752
2753
2754
2755
2756
2757
2758
2759
2760
2761
2762
2763
2764
2765
2766
2767
2768
2769
2770
2771
2772
2773
2774
2775
2776
2777
2778
2779
2780
2781
2782
2783
2784
2785
2786
2787
2788
2789
2790
2791
2792
2793
2794
2795
2796
2797
2798
2799
2800
2801
2802
2803
2804
2805
2806
2807
2808
2809
2810
2811
2812
2813
2814
2815
2816
2817
2818
2819
2820
2821
2822
2823
2824
2825
2826
2827
2828
2829
2830
2831
2832
2833
2834
2835
2836
2837
2838
2839
2840
2841
2842
2843
2844
2845
2846
2847
2848
2849
2850
2851
2852
2853
2854
2855
2856
2857
2858
2859
2860
2861
2862
2863
2864
2865
2866
2867
2868
2869
2870
2871
2872
2873
2874
2875
2876
2877
2878
2879
2880
2881
2882
2883
2884
2885
2886
2887
2888
2889
2890
2891
2892
2893
2894
2895
2896
2897
2898
2899
2900
2901
2902
2903
2904
2905
2906
2907
2908
2909
2910
2911
2912
2913
2914
2915
2916
2917
2918
2919
2920
2921
2922
2923
2924
2925
2926
2927
2928
2929
2930
2931
2932
2933
2934
2935
2936
2937
2938
2939
2940
2941
2942
2943
2944
2945
2946
2947
2948
2949
2950
2951
2952
2953
2954
2955
2956
2957
2958
2959
2960
2961
2962
2963
2964
2965
2966
2967
2968
2969
2970
2971
2972
2973
2974
2975
2976
2977
2978
2979
2980
2981
2982
2983
2984
2985
2986
2987
2988
2989
2990
2991
2992
2993
2994
2995
2996
2997
2998
2999
3000
3001
3002
3003
3004
3005
3006
3007
3008
3009
3010
3011
3012
3013
3014
3015
3016
3017
3018
3019
3020
3021
3022
3023
3024
3025
3026
3027
3028
3029
3030
3031
3032
3033
3034
3035
3036
3037
3038
3039
3040
3041
3042
3043
3044
3045
3046
3047
3048
3049
3050
3051
3052
3053
3054
3055
3056
3057
3058
3059
3060
3061
3062
3063
3064
3065
3066
3067
3068
3069
3070
3071
3072
3073
3074
3075
3076
3077
3078
3079
3080
3081
3082
3083
3084
3085
3086
3087
3088
3089
3090
3091
3092
3093
3094
3095
3096
3097
3098
3099
3100
3101
3102
3103
3104
3105
3106
3107
3108
3109
3110
3111
3112
3113
3114
3115
3116
3117
3118
3119
3120
3121
3122
3123
3124
3125
3126
3127
3128
3129
3130
3131
3132
3133
3134
3135
3136
3137
3138
3139
3140
3141
3142
3143
3144
3145
3146
3147
3148
3149
3150
3151
3152
3153
3154
3155
3156
3157
3158
3159
3160
3161
3162
3163
3164
3165
3166
3167
3168
3169
3170
3171
3172
3173
3174
3175
3176
3177
3178
3179
3180
3181
3182
3183
3184
3185
3186
3187
3188
3189
3190
3191
3192
3193
3194
3195
3196
3197
3198
3199
3200
3201
3202
3203
3204
3205
3206
3207
3208
3209
3210
3211
3212
3213
3214
3215
3216
3217
3218
3219
3220
3221
3222
3223
3224
3225
3226
3227
3228
3229
3230
3231
3232
3233
3234
3235
3236
3237
3238
3239
3240
3241
3242
3243
3244
3245
3246
3247
3248
3249
3250
3251
3252
3253
3254
3255
3256
3257
3258
3259
3260
3261
3262
3263
3264
3265
3266
3267
3268
3269
3270
3271
3272
3273
3274
3275
3276
3277
3278
3279
3280
3281
3282
3283
3284
3285
3286
3287
3288
3289
3290
3291
3292
3293
3294
3295
3296
3297
3298
3299
3300
3301
3302
3303
3304
3305
3306
3307
3308
3309
3310
3311
3312
3313
3314
3315
3316
3317
3318
3319
3320
3321
3322
3323
3324
3325
3326
3327
3328
3329
3330
3331
3332
3333
3334
3335
3336
3337
3338
3339
3340
3341
3342
3343
3344
3345
3346
3347
3348
3349
3350
3351
3352
3353
3354
3355
3356
3357
3358
3359
3360
3361
3362
3363
3364
3365
3366
3367
3368
3369
3370
3371
3372
3373
3374
3375
3376
3377
3378
3379
3380
3381
3382
3383
3384
3385
3386
3387
3388
3389
3390
3391
3392
3393
3394
3395
3396
3397
3398
3399
3400
3401
3402
3403
3404
3405
3406
3407
3408
3409
3410
3411
3412
3413
3414
3415
3416
3417
3418
3419
3420
3421
3422
3423
3424
3425
3426
3427
3428
3429
3430
3431
3432
3433
3434
3435
3436
3437
3438
3439
3440
3441
3442
3443
3444
3445
3446
3447
3448
3449
3450
3451
3452
3453
3454
3455
3456
3457
3458
3459
3460
3461
3462
3463
3464
3465
3466
3467
3468
3469
3470
3471
3472
3473
3474
3475
3476
3477
3478
3479
3480
3481
3482
3483
3484
3485
3486
3487
3488
3489
3490
3491
3492
3493
3494
3495
3496
3497
3498
3499
3500
3501
3502
3503
3504
3505
3506
3507
3508
3509
3510
3511
3512
3513
3514
3515
3516
3517
3518
3519
3520
3521
3522
3523
3524
3525
3526
3527
3528
3529
3530
3531
3532
3533
3534
3535
3536
3537
3538
3539
3540
3541
3542
3543
3544
3545
3546
3547
3548
3549
3550
3551
3552
3553
3554
3555
3556
3557
3558
3559
3560
3561
3562
3563
3564
3565
3566
3567
3568
3569
3570
3571
3572
3573
3574
3575
3576
3577
3578
3579
3580
3581
3582
3583
3584
3585
3586
3587
3588
3589
3590
3591
3592
3593
3594
3595
3596
3597
3598
3599
3600
3601
3602
3603
3604
3605
3606
3607
3608
3609
3610
3611
3612
3613
3614
3615
3616
3617
3618
3619
3620
3621
3622
3623
3624
3625
3626
3627
3628
3629
3630
3631
3632
3633
3634
3635
3636
3637
3638
3639
3640
3641
3642
3643
3644
3645
3646
3647
3648
3649
3650
3651
3652
3653
3654
3655
3656
3657
3658
3659
3660
3661
3662
3663
3664
3665
3666
3667
3668
3669
3670
3671
3672
3673
3674
3675
3676
3677
3678
3679
3680
3681
3682
3683
3684
3685
3686
3687
3688
3689
3690
3691
3692
3693
3694
3695
3696
3697
3698
3699
3700
3701
3702
3703
3704
3705
3706
3707
3708
3709
3710
3711
3712
3713
3714
3715
3716
3717
3718
3719
3720
3721
3722
3723
3724
3725
3726
3727
3728
3729
3730
3731
3732
3733
3734
3735
3736
3737
3738
3739
3740
3741
3742
3743
3744
3745
3746
3747
3748
3749
3750
3751
3752
3753
3754
3755
3756
3757
3758
3759
3760
3761
3762
3763
3764
3765
3766
3767
3768
3769
3770
3771
3772
3773
3774
3775
3776
3777
3778
3779
3780
3781
3782
3783
3784
3785
3786
3787
3788
3789
3790
3791
3792
3793
3794
3795
3796
3797
3798
3799
3800
3801
3802
3803
3804
3805
3806
3807
3808
3809
3810
3811
3812
3813
3814
3815
3816
3817
3818
3819
3820
3821
3822
3823
3824
3825
3826
3827
3828
3829
3830
3831
3832
3833
3834
3835
3836
3837
3838
3839
3840
3841
3842
3843
3844
3845
3846
3847
3848
3849
3850
3851
3852
3853
3854
3855
3856
3857
3858
3859
3860
3861
3862
3863
3864
3865
3866
3867
3868
3869
3870
3871
3872
3873
3874
3875
3876
3877
3878
3879
3880
3881
3882
3883
3884
3885
3886
3887
3888
3889
3890
3891
3892
3893
3894
3895
3896
3897
3898
3899
3900
3901
3902
3903
3904
3905
3906
3907
3908
3909
3910
3911
3912
3913
3914
3915
3916
3917
3918
3919
3920
3921
3922
3923
3924
3925
3926
3927
3928
3929
3930
3931
3932
3933
3934
3935
3936
3937
3938
3939
3940
3941
3942
3943
3944
3945
3946
3947
3948
3949
3950
3951
3952
3953
3954
3955
3956
3957
3958
3959
3960
3961
3962
3963
3964
3965
3966
3967
3968
3969
3970
3971
3972
3973
3974
3975
3976
3977
3978
3979
3980
3981
3982
3983
3984
3985
3986
3987
3988
3989
3990
3991
3992
3993
3994
3995
3996
3997
3998
3999
4000
4001
4002
4003
4004
4005
4006
4007
4008
4009
4010
4011
4012
4013
4014
4015
4016
4017
4018
4019
4020
4021
4022
4023
4024
4025
4026
4027
4028
4029
4030
4031
4032
4033
4034
4035
4036
4037
4038
4039
4040
4041
4042
4043
4044
4045
4046
4047
4048
4049
4050
4051
4052
4053
4054
4055
4056
4057
4058
4059
4060
4061
4062
4063
4064
4065
4066
4067
4068
4069
4070
4071
4072
4073
4074
4075
4076
4077
4078
4079
4080
4081
4082
4083
4084
4085
4086
4087
4088
4089
4090
4091
4092
4093
4094
4095
4096
4097
4098
4099
4100
4101
4102
4103
4104
4105
4106
4107
4108
4109
4110
4111
4112
4113
4114
4115
4116
4117
4118
4119
4120
4121
4122
4123
4124
4125
4126
4127
4128
4129
4130
4131
4132
4133
4134
4135
4136
4137
4138
4139
4140
4141
4142
4143
4144
4145
4146
4147
4148
4149
4150
4151
4152
4153
4154
4155
4156
4157
4158
4159
4160
4161
4162
4163
4164
4165
4166
4167
4168
4169
4170
4171
4172
4173
4174
4175
4176
4177
4178
4179
4180
4181
4182
4183
4184
4185
4186
4187
4188
4189
4190
4191
4192
4193
4194
4195
4196
4197
4198
4199
4200
4201
4202
4203
4204
4205
4206
4207
4208
4209
4210
4211
4212
4213
4214
4215
4216
4217
4218
4219
4220
4221
4222
4223
4224
4225
4226
4227
4228
4229
4230
4231
4232
4233
4234
4235
4236
4237
4238
4239
4240
4241
4242
4243
4244
4245
4246
4247
4248
4249
4250
4251
4252
4253
4254
4255
4256
4257
4258
4259
4260
4261
4262
4263
4264
4265
4266
4267
4268
4269
4270
4271
4272
4273
4274
4275
4276
4277
4278
4279
4280
4281
4282
4283
4284
4285
4286
4287
4288
4289
4290
4291
4292
4293
4294
4295
4296
4297
4298
4299
4300
4301
4302
4303
4304
4305
4306
4307
4308
4309
4310
4311
4312
4313
4314
4315
4316
4317
4318
4319
4320
4321
4322
4323
4324
4325
4326
4327
4328
4329
4330
4331
4332
4333
4334
4335
4336
4337
4338
4339
4340
4341
4342
4343
4344
4345
4346
4347
4348
4349
4350
4351
4352
4353
4354
4355
4356
4357
4358
4359
4360
4361
4362
4363
4364
4365
4366
4367
4368
4369
4370
4371
4372
4373
4374
4375
4376
4377
4378
4379
4380
4381
4382
4383
4384
4385
4386
4387
4388
4389
4390
4391
4392
4393
4394
4395
4396
4397
4398
4399
4400
4401
4402
4403
4404
4405
4406
4407
4408
4409
4410
4411
4412
4413
4414
4415
4416
4417
4418
4419
4420
4421
4422
4423
4424
4425
4426
4427
4428
4429
4430
4431
4432
4433
4434
4435
4436
4437
4438
4439
4440
4441
4442
4443
4444
4445
4446
4447
4448
4449
4450
4451
4452
4453
4454
4455
4456
4457
4458
4459
4460
4461
4462
4463
4464
4465
4466
4467
4468
4469
4470
4471
4472
4473
4474
4475
4476
4477
4478
4479
4480
4481
4482
4483
4484
4485
4486
4487
4488
4489
4490
4491
4492
4493
4494
4495
4496
4497
4498
4499
4500
4501
4502
4503
4504
4505
4506
4507
4508
4509
4510
4511
4512
4513
4514
4515
4516
4517
4518
4519
4520
4521
4522
4523
4524
4525
4526
4527
4528
4529
4530
4531
4532
4533
4534
4535
4536
4537
4538
4539
4540
4541
4542
4543
4544
4545
4546
4547
4548
4549
4550
4551
4552
4553
4554
4555
4556
4557
4558
4559
4560
4561
4562
4563
4564
4565
4566
4567
4568
4569
4570
4571
4572
4573
4574
4575
4576
4577
4578
4579
4580
4581
4582
4583
4584
4585
4586
4587
4588
4589
4590
4591
4592
4593
4594
4595
4596
4597
4598
4599
4600
4601
4602
4603
4604
4605
4606
4607
4608
4609
4610
4611
4612
4613
4614
4615
4616
4617
4618
4619
4620
4621
4622
4623
4624
4625
4626
4627
4628
4629
4630
4631
4632
4633
4634
4635
4636
4637
4638
4639
4640
4641
4642
4643
4644
4645
4646
4647
4648
4649
4650
4651
4652
4653
4654
4655
4656
4657
4658
4659
4660
4661
4662
4663
4664
4665
4666
4667
4668
4669
4670
4671
4672
4673
4674
4675
4676
4677
4678
4679
4680
4681
4682
4683
4684
4685
4686
4687
4688
4689
4690
4691
4692
4693
4694
4695
4696
4697
4698
4699
4700
4701
4702
4703
4704
4705
4706
4707
4708
4709
4710
4711
4712
4713
4714
4715
4716
4717
4718
4719
4720
4721
4722
4723
4724
4725
4726
4727
4728
4729
4730
4731
4732
4733
4734
4735
4736
4737
4738
4739
4740
4741
4742
4743
4744
4745
4746
4747
4748
4749
4750
4751
4752
4753
4754
4755
4756
4757
4758
4759
4760
4761
4762
4763
4764
4765
4766
4767
4768
4769
4770
4771
4772
4773
4774
4775
4776
4777
4778
4779
4780
4781
4782
4783
4784
4785
4786
4787
4788
4789
4790
4791
4792
4793
4794
4795
4796
4797
4798
4799
4800
4801
4802
4803
4804
4805
4806
4807
4808
4809
4810
4811
4812
4813
4814
4815
4816
4817
4818
4819
4820
4821
4822
4823
4824
4825
4826
4827
4828
4829
4830
4831
4832
4833
4834
4835
4836
4837
4838
4839
4840
4841
4842
4843
4844
4845
4846
4847
4848
4849
4850
4851
4852
4853
4854
4855
4856
4857
4858
4859
4860
4861
4862
4863
4864
4865
4866
4867
4868
4869
4870
4871
4872
4873
4874
4875
4876
4877
4878
4879
4880
4881
4882
4883
4884
4885
4886
4887
4888
4889
4890
4891
4892
4893
4894
4895
4896
4897
4898
4899
4900
4901
4902
4903
4904
4905
4906
4907
4908
4909
4910
4911
4912
4913
4914
4915
4916
4917
4918
4919
4920
4921
4922
4923
4924
4925
4926
4927
4928
4929
4930
4931
4932
4933
4934
4935
4936
4937
4938
4939
4940
4941
4942
4943
4944
4945
4946
4947
4948
4949
4950
4951
4952
4953
4954
4955
4956
4957
4958
4959
4960
4961
4962
4963
4964
4965
4966
4967
4968
4969
4970
4971
4972
4973
4974
4975
4976
4977
4978
4979
4980
4981
4982
4983
4984
4985
4986
4987
4988
4989
4990
4991
4992
4993
4994
4995
4996
4997
4998
4999
5000
5001
5002
5003
5004
5005
5006
5007
5008
5009
5010
5011
5012
5013
5014
5015
5016
5017
5018
5019
5020
5021
5022
5023
5024
5025
5026
5027
5028
5029
5030
5031
5032
5033
5034
5035
5036
5037
5038
5039
5040
5041
5042
5043
5044
5045
5046
5047
5048
5049
5050
5051
5052
5053
5054
5055
5056
5057
5058
5059
5060
5061
5062
5063
5064
5065
5066
5067
5068
5069
5070
5071
5072
5073
5074
5075
5076
5077
5078
5079
5080
5081
5082
5083
5084
5085
5086
5087
5088
5089
5090
5091
5092
5093
5094
5095
5096
5097
5098
5099
5100
5101
5102
5103
5104
5105
5106
5107
5108
5109
5110
5111
5112
5113
5114
5115
5116
5117
5118
5119
5120
5121
5122
5123
5124
5125
5126
5127
5128
5129
5130
5131
5132
5133
5134
5135
5136
5137
5138
5139
5140
5141
5142
5143
5144
5145
5146
5147
5148
5149
5150
5151
5152
5153
5154
5155
5156
5157
5158
5159
5160
5161
5162
5163
5164
5165
5166
5167
5168
5169
5170
5171
5172
5173
5174
5175
5176
5177
5178
5179
5180
5181
5182
5183
5184
5185
5186
5187
5188
5189
5190
5191
5192
5193
5194
5195
5196
5197
5198
5199
5200
5201
5202
5203
5204
5205
5206
5207
5208
5209
5210
5211
5212
5213
5214
5215
5216
5217
5218
5219
5220
5221
5222
5223
5224
5225
5226
5227
5228
5229
5230
5231
5232
5233
5234
5235
5236
5237
5238
5239
5240
5241
5242
5243
5244
5245
5246
5247
5248
5249
5250
5251
5252
5253
5254
5255
5256
5257
5258
5259
5260
5261
5262
5263
5264
5265
5266
5267
5268
5269
5270
5271
5272
5273
5274
5275
5276
5277
5278
5279
5280
5281
5282
5283
5284
5285
5286
5287
5288
5289
5290
5291
5292
5293
5294
5295
5296
5297
5298
5299
5300
5301
5302
5303
5304
5305
5306
5307
5308
5309
5310
5311
5312
5313
5314
5315
5316
5317
5318
5319
5320
5321
5322
5323
5324
5325
5326
5327
5328
5329
5330
5331
5332
5333
5334
5335
5336
5337
5338
5339
5340
5341
5342
5343
5344
5345
5346
5347
5348
5349
5350
5351
5352
5353
5354
5355
5356
5357
5358
5359
5360
5361
5362
5363
5364
5365
5366
5367
5368
5369
5370
5371
5372
5373
5374
5375
5376
5377
5378
5379
5380
5381
5382
5383
5384
5385
5386
5387
5388
5389
5390
5391
5392
5393
5394
5395
5396
5397
5398
5399
5400
5401
5402
5403
5404
5405
5406
5407
5408
5409
5410
5411
5412
5413
5414
5415
5416
5417
5418
5419
5420
5421
5422
5423
5424
5425
5426
5427
5428
5429
5430
5431
5432
5433
5434
5435
5436
5437
5438
5439
5440
5441
5442
5443
5444
5445
5446
5447
5448
5449
5450
5451
5452
5453
5454
5455
5456
5457
5458
5459
5460
5461
5462
5463
5464
5465
5466
5467
5468
5469
5470
5471
5472
5473
5474
5475
5476
5477
5478
5479
5480
5481
5482
5483
5484
5485
5486
5487
5488
5489
5490
5491
5492
5493
5494
5495
5496
5497
5498
5499
5500
5501
5502
5503
5504
5505
5506
5507
5508
5509
5510
5511
5512
5513
5514
5515
5516
5517
5518
5519
5520
5521
5522
5523
5524
5525
5526
5527
5528
5529
5530
5531
5532
5533
5534
5535
5536
5537
5538
5539
5540
5541
5542
5543
5544
5545
5546
5547
5548
5549
5550
5551
5552
5553
5554
5555
5556
5557
5558
5559
5560
5561
5562
5563
5564
5565
5566
5567
5568
5569
5570
5571
5572
5573
5574
5575
5576
5577
5578
5579
5580
5581
5582
5583
5584
5585
5586
5587
5588
5589
5590
5591
5592
5593
5594
5595
5596
5597
5598
5599
5600
5601
5602
5603
5604
5605
5606
5607
5608
5609
5610
5611
5612
5613
5614
5615
5616
5617
5618
5619
5620
5621
5622
5623
5624
5625
5626
5627
5628
5629
5630
5631
5632
5633
5634
5635
5636
5637
5638
5639
5640
5641
5642
5643
5644
5645
5646
5647
5648
5649
5650
5651
5652
5653
5654
5655
5656
5657
5658
5659
5660
5661
5662
5663
5664
5665
5666
5667
5668
5669
5670
5671
5672
5673
5674
5675
5676
5677
5678
5679
5680
5681
5682
5683
5684
5685
5686
5687
5688
5689
5690
5691
5692
5693
5694
5695
5696
5697
5698
5699
5700
5701
5702
5703
5704
5705
5706
5707
5708
5709
5710
5711
5712
5713
5714
5715
5716
5717
5718
5719
5720
5721
5722
5723
5724
5725
5726
5727
5728
5729
5730
5731
5732
5733
5734
5735
5736
5737
5738
5739
5740
5741
5742
5743
5744
5745
5746
5747
5748
5749
5750
5751
5752
5753
5754
5755
5756
5757
5758
5759
5760
5761
5762
5763
5764
5765
5766
5767
5768
5769
5770
5771
5772
5773
5774
5775
5776
5777
5778
5779
5780
5781
5782
5783
5784
5785
5786
5787
5788
5789
5790
5791
5792
5793
5794
5795
5796
5797
5798
5799
5800
5801
5802
5803
5804
5805
5806
5807
5808
5809
5810
5811
5812
5813
5814
5815
5816
5817
5818
5819
5820
5821
5822
5823
5824
5825
5826
5827
5828
5829
5830
5831
5832
5833
5834
5835
5836
5837
5838
5839
5840
5841
5842
5843
5844
5845
5846
5847
5848
5849
5850
5851
5852
5853
5854
5855
5856
5857
5858
5859
5860
5861
5862
5863
5864
5865
5866
5867
5868
5869
5870
5871
5872
5873
5874
5875
5876
5877
5878
5879
5880
5881
5882
5883
5884
5885
5886
5887
5888
5889
5890
5891
5892
5893
5894
5895
5896
5897
5898
5899
5900
5901
5902
5903
5904
5905
5906
5907
5908
5909
5910
5911
5912
5913
5914
5915
5916
5917
5918
5919
5920
5921
5922
5923
5924
5925
5926
5927
5928
5929
5930
5931
5932
5933
5934
5935
5936
5937
5938
5939
5940
5941
5942
5943
5944
5945
5946
5947
5948
5949
5950
5951
5952
5953
5954
5955
5956
5957
5958
5959
5960
5961
5962
5963
5964
5965
5966
5967
5968
5969
5970
5971
5972
5973
5974
5975
5976
5977
5978
5979
5980
5981
5982
5983
5984
5985
5986
5987
5988
5989
5990
5991
5992
5993
5994
5995
5996
5997
5998
5999
6000
6001
6002
6003
6004
6005
6006
6007
6008
6009
6010
6011
6012
6013
6014
6015
6016
6017
6018
6019
6020
6021
6022
6023
6024
6025
6026
6027
6028
6029
6030
6031
6032
6033
6034
6035
6036
6037
6038
6039
6040
6041
6042
6043
6044
6045
6046
6047
6048
6049
6050
6051
6052
6053
6054
6055
6056
6057
6058
6059
6060
6061
6062
6063
6064
6065
6066
6067
6068
6069
6070
6071
6072
6073
6074
6075
6076
6077
6078
6079
6080
6081
6082
6083
6084
6085
6086
6087
6088
6089
6090
6091
6092
6093
6094
6095
6096
6097
6098
6099
6100
6101
6102
6103
6104
6105
6106
6107
6108
6109
6110
6111
6112
6113
6114
6115
6116
6117
6118
6119
6120
6121
6122
6123
6124
6125
6126
6127
6128
6129
6130
6131
6132
6133
6134
6135
6136
6137
6138
6139
6140
6141
6142
6143
6144
6145
6146
6147
6148
6149
6150
6151
6152
6153
6154
6155
6156
6157
6158
6159
6160
6161
6162
6163
6164
6165
6166
6167
6168
6169
6170
6171
6172
6173
6174
6175
6176
6177
6178
6179
6180
6181
6182
6183
6184
6185
6186
6187
6188
6189
6190
6191
6192
6193
6194
6195
6196
6197
6198
6199
6200
6201
6202
6203
6204
6205
6206
6207
6208
6209
6210
6211
6212
6213
6214
6215
6216
6217
6218
6219
6220
6221
6222
6223
6224
6225
6226
6227
6228
6229
6230
6231
6232
6233
6234
6235
6236
6237
6238
6239
6240
6241
6242
6243
6244
6245
6246
6247
6248
6249
6250
6251
6252
6253
6254
6255
6256
6257
6258
6259
6260
6261
6262
6263
6264
6265
6266
6267
6268
6269
6270
6271
6272
6273
6274
6275
6276
6277
6278
6279
6280
6281
6282
6283
6284
6285
6286
6287
6288
6289
6290
6291
6292
6293
6294
6295
6296
6297
6298
6299
6300
6301
6302
6303
6304
6305
6306
6307
6308
6309
6310
6311
6312
6313
6314
6315
6316
6317
6318
6319
6320
6321
6322
6323
6324
6325
6326
6327
6328
6329
6330
6331
6332
6333
6334
6335
6336
6337
6338
6339
6340
6341
6342
6343
6344
6345
6346
6347
6348
6349
6350
6351
6352
6353
6354
6355
6356
6357
6358
6359
6360
6361
6362
6363
6364
6365
6366
6367
6368
6369
6370
6371
6372
6373
6374
6375
6376
6377
6378
6379
6380
6381
6382
6383
6384
6385
6386
6387
6388
6389
6390
6391
6392
6393
6394
6395
6396
6397
6398
6399
6400
6401
6402
6403
6404
6405
6406
6407
6408
6409
6410
6411
6412
6413
6414
6415
6416
6417
6418
6419
6420
6421
6422
6423
6424
6425
6426
6427
6428
6429
6430
6431
6432
6433
6434
6435
6436
6437
6438
6439
6440
6441
6442
6443
6444
6445
6446
6447
6448
6449
6450
6451
6452
6453
6454
6455
6456
6457
6458
6459
6460
6461
6462
6463
6464
6465
6466
6467
6468
6469
6470
6471
6472
6473
6474
6475
6476
6477
6478
6479
6480
6481
6482
6483
6484
6485
6486
6487
6488
6489
6490
6491
6492
6493
6494
6495
6496
6497
6498
6499
6500
6501
6502
6503
6504
6505
6506
6507
6508
6509
6510
6511
6512
6513
6514
6515
6516
6517
6518
6519
6520
6521
6522
6523
6524
6525
6526
6527
6528
6529
6530
6531
6532
6533
6534
6535
6536
6537
6538
6539
6540
6541
6542
6543
6544
6545
6546
6547
6548
6549
6550
6551
6552
6553
6554
6555
6556
6557
6558
6559
6560
6561
6562
6563
6564
6565
6566
6567
6568
6569
6570
6571
6572
6573
6574
6575
6576
6577
6578
6579
6580
6581
6582
6583
6584
6585
6586
6587
6588
6589
6590
6591
6592
6593
6594
6595
6596
6597
6598
6599
6600
6601
6602
6603
6604
6605
6606
6607
6608
6609
6610
6611
6612
6613
6614
6615
6616
6617
6618
6619
6620
6621
6622
6623
6624
6625
6626
6627
6628
6629
6630
6631
6632
6633
6634
6635
6636
6637
6638
6639
6640
6641
6642
6643
6644
6645
6646
6647
6648
6649
6650
6651
6652
6653
6654
6655
6656
6657
6658
6659
6660
6661
6662
6663
6664
6665
6666
6667
6668
6669
6670
6671
6672
6673
6674
6675
6676
6677
6678
6679
6680
6681
6682
6683
6684
6685
6686
6687
6688
6689
6690
6691
6692
6693
6694
6695
6696
6697
6698
6699
6700
6701
6702
6703
6704
6705
6706
6707
6708
6709
6710
6711
6712
6713
6714
6715
6716
6717
6718
6719
6720
6721
6722
6723
6724
6725
6726
6727
6728
6729
6730
6731
6732
6733
6734
6735
6736
6737
6738
6739
6740
6741
6742
6743
6744
6745
6746
6747
6748
6749
6750
6751
6752
6753
6754
6755
6756
6757
6758
6759
6760
6761
6762
6763
6764
6765
6766
6767
6768
6769
6770
6771
6772
6773
6774
6775
6776
6777
6778
6779
6780
6781
6782
6783
6784
6785
6786
6787
6788
6789
6790
6791
6792
6793
6794
6795
6796
6797
6798
6799
6800
6801
6802
6803
6804
6805
6806
6807
6808
6809
6810
6811
6812
6813
6814
6815
6816
6817
6818
6819
6820
6821
6822
6823
6824
6825
6826
6827
6828
6829
6830
6831
6832
6833
6834
6835
6836
6837
6838
6839
6840
6841
6842
6843
6844
6845
6846
6847
6848
6849
6850
6851
6852
6853
6854
6855
6856
6857
6858
6859
6860
6861
6862
6863
6864
6865
6866
6867
6868
6869
6870
6871
6872
6873
6874
6875
6876
6877
6878
6879
6880
6881
6882
6883
6884
6885
6886
6887
6888
6889
6890
6891
6892
6893
6894
6895
6896
6897
6898
6899
6900
6901
6902
6903
6904
6905
6906
6907
6908
6909
6910
6911
6912
6913
6914
6915
6916
6917
6918
6919
6920
6921
6922
6923
6924
6925
6926
6927
6928
6929
6930
6931
6932
6933
6934
6935
6936
6937
6938
6939
6940
6941
6942
6943
6944
6945
6946
6947
6948
6949
6950
6951
6952
6953
6954
6955
6956
6957
6958
6959
6960
6961
6962
6963
6964
6965
6966
6967
6968
6969
6970
6971
6972
6973
6974
6975
6976
6977
6978
6979
6980
6981
6982
6983
6984
6985
6986
6987
6988
6989
6990
6991
6992
6993
6994
6995
6996
6997
6998
6999
7000
7001
7002
7003
7004
7005
7006
7007
7008
7009
7010
7011
7012
7013
7014
7015
7016
7017
7018
7019
7020
7021
7022
7023
7024
7025
7026
7027
7028
7029
7030
7031
7032
7033
7034
7035
7036
7037
7038
7039
7040
7041
7042
7043
7044
7045
7046
7047
7048
7049
7050
7051
7052
7053
7054
7055
7056
7057
7058
7059
7060
7061
7062
7063
7064
7065
7066
7067
7068
7069
7070
7071
7072
7073
7074
7075
7076
7077
7078
7079
7080
7081
7082
7083
7084
7085
7086
7087
7088
7089
7090
7091
7092
7093
7094
7095
7096
7097
7098
7099
7100
7101
7102
7103
7104
7105
7106
7107
7108
7109
7110
7111
7112
7113
7114
7115
7116
7117
7118
7119
7120
7121
7122
7123
7124
7125
7126
7127
7128
7129
7130
7131
7132
7133
7134
7135
7136
7137
7138
7139
7140
7141
7142
7143
7144
7145
7146
7147
7148
7149
7150
7151
7152
7153
7154
7155
7156
7157
7158
7159
7160
7161
7162
7163
7164
7165
7166
7167
7168
7169
7170
7171
7172
7173
7174
7175
7176
7177
7178
7179
7180
7181
7182
7183
7184
7185
7186
7187
7188
7189
7190
7191
7192
7193
7194
7195
7196
7197
7198
7199
7200
7201
7202
7203
7204
7205
7206
7207
7208
7209
7210
7211
7212
7213
7214
7215
7216
7217
7218
7219
7220
7221
7222
7223
7224
7225
7226
7227
7228
7229
7230
7231
7232
7233
7234
7235
7236
7237
7238
7239
7240
7241
7242
7243
7244
7245
7246
7247
7248
7249
7250
7251
7252
7253
7254
7255
7256
7257
7258
7259
7260
7261
7262
7263
7264
7265
7266
7267
7268
7269
7270
7271
7272
7273
7274
7275
7276
7277
7278
7279
7280
7281
7282
7283
7284
7285
7286
7287
7288
7289
7290
7291
7292
7293
7294
7295
7296
7297
7298
7299
7300
7301
7302
7303
7304
7305
7306
7307
7308
7309
7310
7311
7312
7313
7314
7315
7316
7317
7318
7319
7320
7321
7322
7323
7324
7325
7326
7327
7328
7329
7330
7331
7332
7333
7334
7335
7336
7337
7338
7339
7340
7341
7342
7343
7344
7345
7346
7347
7348
7349
7350
7351
7352
7353
7354
7355
7356
7357
7358
7359
7360
7361
7362
7363
7364
7365
7366
7367
7368
7369
7370
7371
7372
7373
7374
7375
7376
7377
7378
7379
7380
7381
7382
7383
7384
7385
7386
7387
7388
7389
7390
7391
7392
7393
7394
7395
7396
7397
7398
7399
7400
7401
7402
7403
7404
7405
7406
7407
7408
7409
7410
7411
7412
7413
7414
7415
7416
7417
7418
7419
7420
7421
7422
7423
7424
7425
7426
7427
7428
7429
7430
7431
7432
7433
7434
7435
7436
7437
7438
7439
7440
7441
7442
7443
7444
7445
7446
7447
7448
7449
7450
7451
7452
7453
7454
7455
7456
7457
7458
7459
7460
7461
7462
7463
7464
7465
7466
7467
7468
7469
7470
7471
7472
7473
7474
7475
7476
7477
7478
7479
7480
7481
7482
7483
7484
7485
7486
7487
7488
7489
7490
7491
7492
7493
7494
7495
7496
7497
7498
7499
7500
7501
7502
7503
7504
7505
7506
7507
7508
7509
7510
7511
7512
7513
7514
7515
7516
7517
7518
7519
7520
7521
7522
7523
7524
7525
7526
7527
7528
7529
7530
7531
7532
7533
7534
7535
7536
7537
7538
7539
7540
7541
7542
7543
7544
7545
7546
7547
7548
7549
7550
7551
7552
7553
7554
7555
7556
7557
7558
7559
7560
7561
7562
7563
7564
7565
7566
7567
7568
7569
7570
7571
7572
7573
7574
7575
7576
7577
7578
7579
7580
7581
7582
7583
7584
7585
7586
7587
7588
7589
7590
7591
7592
7593
7594
7595
7596
7597
7598
7599
7600
7601
7602
7603
7604
7605
7606
7607
7608
7609
7610
7611
7612
7613
7614
7615
7616
7617
7618
7619
7620
7621
7622
7623
7624
7625
7626
7627
7628
7629
7630
7631
7632
7633
7634
7635
7636
7637
7638
7639
7640
7641
7642
7643
7644
7645
7646
7647
7648
7649
7650
7651
7652
7653
7654
7655
7656
7657
7658
7659
7660
7661
7662
7663
7664
7665
7666
7667
7668
7669
7670
7671
7672
7673
7674
7675
7676
7677
7678
7679
7680
7681
7682
7683
7684
7685
7686
7687
7688
7689
7690
7691
7692
7693
7694
7695
7696
7697
7698
7699
7700
7701
7702
7703
7704
7705
7706
7707
7708
7709
7710
7711
7712
7713
7714
7715
7716
7717
7718
7719
7720
7721
7722
7723
7724
7725
7726
7727
7728
7729
7730
7731
7732
7733
7734
7735
7736
7737
7738
7739
7740
7741
7742
7743
7744
7745
7746
7747
7748
7749
7750
7751
7752
7753
7754
7755
7756
7757
7758
7759
7760
7761
7762
7763
7764
7765
7766
7767
7768
7769
7770
7771
7772
7773
7774
7775
7776
7777
7778
7779
7780
7781
7782
7783
7784
7785
7786
7787
7788
7789
7790
7791
7792
7793
7794
7795
7796
7797
7798
7799
7800
7801
7802
7803
7804
7805
7806
7807
7808
7809
7810
7811
7812
7813
7814
7815
7816
7817
7818
7819
7820
7821
7822
7823
7824
7825
7826
7827
7828
7829
7830
7831
7832
7833
7834
7835
7836
7837
7838
7839
7840
7841
7842
7843
7844
7845
7846
7847
7848
7849
7850
7851
7852
7853
7854
7855
7856
7857
7858
7859
7860
7861
7862
7863
7864
7865
7866
7867
7868
7869
7870
7871
7872
7873
7874
7875
7876
7877
7878
7879
7880
7881
7882
7883
7884
7885
7886
7887
7888
7889
7890
7891
7892
7893
7894
7895
7896
7897
7898
7899
7900
7901
7902
7903
7904
7905
7906
7907
7908
7909
7910
7911
7912
7913
7914
7915
7916
7917
7918
7919
7920
7921
7922
7923
7924
7925
7926
7927
7928
7929
7930
7931
7932
7933
7934
7935
7936
7937
7938
7939
7940
7941
7942
7943
7944
7945
7946
7947
7948
7949
7950
7951
7952
7953
7954
7955
7956
7957
7958
7959
7960
7961
7962
7963
7964
7965
7966
7967
7968
7969
7970
7971
7972
7973
7974
7975
7976
7977
7978
7979
7980
7981
7982
7983
7984
7985
7986
7987
7988
7989
7990
7991
7992
7993
7994
7995
7996
7997
7998
7999
8000
8001
8002
8003
8004
8005
8006
8007
8008
8009
8010
8011
8012
8013
8014
8015
8016
8017
8018
8019
8020
8021
8022
8023
8024
8025
8026
8027
8028
8029
8030
8031
8032
8033
8034
8035
8036
8037
8038
8039
8040
8041
8042
8043
8044
8045
8046
8047
8048
8049
8050
8051
8052
8053
8054
8055
8056
8057
8058
8059
8060
8061
8062
8063
8064
8065
8066
8067
8068
8069
8070
8071
8072
8073
8074
8075
8076
8077
8078
8079
8080
8081
8082
8083
8084
8085
8086
8087
8088
8089
8090
8091
8092
8093
8094
8095
8096
8097
8098
8099
8100
8101
8102
8103
8104
8105
8106
8107
8108
8109
8110
8111
8112
8113
8114
8115
8116
8117
8118
8119
8120
8121
8122
8123
8124
8125
8126
8127
8128
8129
8130
8131
8132
8133
8134
8135
8136
8137
8138
8139
8140
8141
8142
8143
8144
8145
8146
8147
8148
8149
8150
8151
8152
8153
8154
8155
8156
8157
8158
8159
8160
8161
8162
8163
8164
8165
8166
8167
8168
8169
8170
8171
8172
8173
8174
8175
8176
8177
8178
8179
8180
8181
8182
8183
8184
8185
8186
8187
8188
8189
8190
8191
8192
8193
8194
8195
8196
8197
8198
8199
8200
8201
8202
8203
8204
8205
8206
8207
8208
8209
8210
8211
8212
8213
8214
8215
8216
8217
8218
8219
8220
8221
8222
8223
8224
8225
8226
8227
8228
8229
8230
8231
8232
8233
8234
8235
8236
8237
8238
8239
8240
8241
8242
8243
8244
8245
8246
8247
8248
8249
8250
8251
8252
8253
8254
8255
8256
8257
8258
8259
8260
8261
8262
8263
8264
8265
8266
8267
8268
8269
8270
8271
8272
8273
8274
8275
8276
8277
8278
8279
8280
8281
8282
8283
8284
8285
8286
8287
8288
8289
8290
8291
8292
8293
8294
8295
8296
8297
8298
8299
8300
8301
8302
8303
8304
8305
8306
8307
8308
8309
8310
8311
8312
8313
8314
8315
8316
8317
8318
8319
8320
8321
8322
8323
8324
8325
8326
8327
8328
8329
8330
8331
8332
8333
8334
8335
8336
8337
8338
8339
8340
8341
8342
8343
8344
8345
8346
8347
8348
8349
8350
8351
8352
8353
8354
8355
8356
8357
8358
8359
8360
8361
8362
8363
8364
8365
8366
8367
8368
8369
8370
8371
8372
8373
8374
8375
8376
8377
8378
8379
8380
8381
8382
8383
8384
8385
8386
8387
8388
8389
8390
8391
8392
8393
8394
8395
8396
8397
8398
8399
8400
8401
8402
8403
8404
8405
8406
8407
8408
8409
8410
8411
8412
8413
8414
8415
8416
8417
8418
8419
8420
8421
8422
8423
8424
8425
8426
8427
8428
8429
8430
8431
8432
8433
8434
8435
8436
8437
8438
8439
8440
8441
8442
8443
8444
8445
8446
8447
8448
8449
8450
8451
8452
8453
8454
8455
8456
8457
8458
8459
8460
8461
8462
8463
8464
8465
8466
8467
8468
8469
8470
8471
8472
8473
8474
8475
8476
8477
8478
8479
8480
8481
8482
8483
8484
8485
8486
8487
8488
8489
8490
8491
8492
8493
8494
8495
8496
8497
8498
8499
8500
8501
8502
8503
8504
8505
8506
8507
8508
8509
8510
8511
8512
8513
8514
8515
8516
8517
8518
8519
8520
8521
8522
8523
8524
8525
8526
8527
8528
8529
8530
8531
8532
8533
8534
8535
8536
8537
8538
8539
8540
8541
8542
8543
8544
8545
8546
8547
8548
8549
8550
8551
8552
8553
8554
8555
8556
8557
8558
8559
8560
8561
8562
8563
8564
8565
8566
8567
8568
8569
8570
8571
8572
8573
8574
8575
8576
8577
8578
8579
8580
8581
8582
8583
8584
8585
8586
8587
8588
8589
8590
8591
8592
8593
8594
8595
8596
8597
8598
8599
8600
8601
8602
8603
8604
8605
8606
8607
8608
8609
8610
8611
8612
8613
8614
8615
8616
8617
8618
8619
8620
8621
8622
8623
8624
8625
8626
8627
8628
8629
8630
8631
8632
8633
8634
8635
8636
8637
8638
8639
8640
8641
8642
8643
8644
8645
8646
8647
8648
8649
8650
8651
8652
8653
8654
8655
8656
8657
8658
8659
8660
8661
8662
8663
8664
8665
8666
8667
8668
8669
8670
8671
8672
8673
8674
8675
8676
8677
8678
8679
8680
8681
8682
8683
8684
8685
8686
8687
8688
8689
8690
8691
8692
8693
8694
8695
8696
8697
8698
8699
8700
8701
8702
8703
8704
8705
8706
8707
8708
8709
8710
8711
8712
8713
8714
8715
8716
8717
8718
8719
8720
8721
8722
8723
8724
8725
8726
8727
8728
8729
8730
8731
8732
8733
8734
8735
8736
8737
8738
8739
8740
8741
8742
8743
8744
8745
8746
8747
8748
8749
8750
8751
8752
8753
8754
8755
8756
8757
8758
8759
8760
8761
8762
8763
8764
8765
8766
8767
8768
8769
8770
8771
8772
8773
8774
8775
8776
8777
8778
8779
8780
8781
8782
8783
8784
8785
8786
8787
8788
8789
8790
8791
8792
8793
8794
8795
8796
8797
8798
8799
8800
8801
8802
8803
8804
8805
8806
8807
8808
8809
8810
8811
8812
8813
8814
8815
8816
8817
8818
8819
8820
8821
8822
8823
8824
8825
8826
8827
8828
8829
8830
8831
8832
8833
8834
8835
8836
8837
8838
8839
8840
8841
8842
8843
8844
8845
8846
8847
8848
8849
8850
8851
8852
8853
8854
8855
8856
8857
8858
8859
8860
8861
8862
8863
8864
8865
8866
8867
8868
8869
8870
8871
8872
8873
8874
8875
8876
8877
8878
8879
8880
8881
8882
8883
8884
8885
8886
8887
8888
8889
8890
8891
8892
8893
8894
8895
8896
8897
8898
8899
8900
8901
8902
8903
8904
8905
8906
8907
8908
8909
8910
8911
8912
8913
8914
8915
8916
8917
8918
8919
8920
8921
8922
8923
8924
8925
8926
8927
8928
8929
8930
8931
8932
8933
8934
8935
8936
8937
8938
8939
8940
8941
8942
8943
8944
8945
8946
8947
8948
8949
8950
8951
8952
8953
8954
8955
8956
8957
8958
8959
8960
8961
8962
8963
8964
8965
8966
8967
8968
8969
8970
8971
8972
8973
8974
8975
8976
8977
8978
8979
8980
8981
8982
8983
8984
8985
8986
8987
8988
8989
8990
8991
8992
8993
8994
8995
8996
8997
8998
8999
9000
9001
9002
9003
9004
9005
9006
9007
9008
9009
9010
9011
9012
9013
9014
9015
9016
9017
9018
9019
9020
9021
9022
9023
9024
9025
9026
9027
9028
9029
9030
9031
9032
9033
9034
9035
9036
9037
9038
9039
9040
9041
9042
9043
9044
9045
9046
9047
9048
9049
9050
9051
9052
9053
9054
9055
9056
9057
9058
9059
9060
9061
9062
9063
9064
9065
9066
9067
9068
9069
9070
9071
9072
9073
9074
9075
9076
9077
9078
9079
9080
9081
9082
9083
9084
9085
9086
9087
9088
9089
9090
9091
9092
9093
9094
9095
9096
9097
9098
9099
9100
9101
9102
9103
9104
9105
9106
9107
9108
9109
9110
9111
9112
9113
9114
9115
9116
9117
9118
9119
9120
9121
9122
9123
9124
9125
9126
9127
9128
9129
9130
9131
9132
9133
9134
9135
9136
9137
9138
9139
9140
9141
9142
9143
9144
9145
9146
9147
9148
9149
9150
9151
9152
9153
9154
9155
9156
9157
9158
9159
9160
9161
9162
9163
9164
9165
9166
9167
9168
9169
9170
9171
9172
9173
9174
9175
9176
9177
9178
9179
9180
9181
9182
9183
9184
9185
9186
9187
9188
9189
9190
9191
9192
9193
9194
9195
9196
9197
9198
9199
9200
9201
9202
9203
9204
9205
9206
9207
9208
9209
9210
9211
9212
9213
9214
9215
9216
9217
9218
9219
9220
9221
9222
9223
9224
9225
9226
9227
9228
9229
9230
9231
9232
9233
9234
9235
9236
9237
9238
9239
9240
9241
9242
9243
9244
9245
9246
9247
9248
9249
9250
9251
9252
9253
9254
9255
9256
9257
9258
9259
9260
9261
9262
9263
9264
9265
9266
9267
9268
9269
9270
9271
9272
9273
9274
9275
9276
9277
9278
9279
9280
9281
9282
9283
9284
9285
9286
9287
9288
9289
9290
9291
9292
9293
9294
9295
9296
9297
9298
9299
9300
9301
9302
9303
9304
9305
9306
9307
9308
9309
9310
9311
9312
9313
9314
9315
9316
9317
9318
9319
9320
9321
9322
9323
9324
9325
9326
9327
9328
9329
9330
9331
9332
9333
9334
9335
9336
9337
9338
9339
9340
9341
9342
9343
9344
9345
9346
9347
9348
9349
9350
9351
9352
9353
9354
9355
9356
9357
9358
9359
9360
9361
9362
9363
9364
9365
9366
9367
9368
9369
9370
9371
9372
9373
9374
9375
9376
9377
9378
9379
9380
9381
9382
9383
9384
9385
9386
9387
9388
9389
9390
9391
9392
9393
9394
9395
9396
9397
9398
9399
9400
9401
9402
9403
9404
9405
9406
9407
9408
9409
9410
9411
9412
9413
9414
9415
9416
9417
9418
9419
9420
9421
9422
9423
9424
9425
9426
9427
9428
9429
9430
9431
9432
9433
9434
9435
9436
9437
9438
9439
9440
9441
9442
9443
9444
9445
9446
9447
9448
9449
9450
9451
9452
9453
9454
9455
9456
9457
9458
9459
9460
9461
9462
9463
9464
9465
9466
9467
9468
9469
9470
9471
9472
9473
9474
9475
9476
9477
9478
9479
9480
9481
9482
9483
9484
9485
9486
9487
9488
9489
9490
9491
9492
9493
9494
9495
9496
9497
9498
9499
9500
9501
9502
9503
9504
9505
9506
9507
9508
9509
9510
9511
9512
9513
9514
9515
9516
9517
9518
9519
9520
9521
9522
9523
9524
9525
9526
9527
9528
9529
9530
9531
9532
9533
9534
9535
9536
9537
9538
9539
9540
9541
9542
9543
9544
9545
9546
9547
9548
9549
9550
9551
9552
9553
9554
9555
9556
9557
9558
9559
9560
9561
9562
9563
9564
9565
9566
9567
9568
9569
9570
9571
9572
9573
9574
9575
9576
9577
9578
9579
9580
9581
9582
9583
9584
9585
9586
9587
9588
9589
9590
9591
9592
9593
9594
9595
9596
9597
9598
9599
9600
9601
9602
9603
9604
9605
9606
9607
9608
9609
9610
9611
9612
9613
9614
9615
9616
9617
9618
9619
9620
9621
9622
9623
9624
9625
9626
9627
9628
9629
9630
9631
9632
9633
9634
9635
9636
9637
9638
9639
9640
9641
9642
9643
9644
9645
9646
9647
9648
9649
9650
9651
9652
9653
9654
9655
9656
9657
9658
9659
9660
9661
9662
9663
9664
9665
9666
9667
9668
9669
9670
9671
9672
9673
9674
9675
9676
9677
9678
9679
9680
9681
9682
9683
9684
9685
9686
9687
9688
9689
9690
9691
9692
9693
9694
9695
9696
9697
9698
9699
9700
9701
9702
9703
9704
9705
9706
9707
9708
9709
9710
9711
9712
9713
9714
9715
9716
9717
9718
9719
9720
9721
9722
9723
9724
9725
9726
9727
9728
9729
9730
9731
9732
9733
9734
9735
9736
9737
9738
9739
9740
9741
9742
9743
9744
9745
9746
9747
9748
9749
9750
9751
9752
9753
9754
9755
9756
9757
9758
9759
9760
9761
9762
9763
9764
9765
9766
9767
9768
9769
9770
9771
9772
9773
9774
9775
9776
9777
9778
9779
9780
9781
9782
9783
9784
9785
9786
9787
9788
9789
9790
9791
9792
9793
9794
9795
9796
9797
9798
9799
9800
9801
9802
9803
9804
9805
9806
9807
9808
9809
9810
9811
9812
9813
9814
9815
9816
9817
9818
9819
9820
9821
9822
9823
9824
9825
9826
9827
9828
9829
9830
9831
9832
9833
9834
9835
9836
9837
9838
9839
9840
9841
9842
9843
9844
9845
9846
9847
9848
9849
9850
9851
9852
9853
9854
9855
9856
9857
9858
9859
9860
9861
9862
9863
9864
9865
9866
9867
9868
9869
9870
9871
9872
9873
9874
9875
9876
9877
9878
9879
9880
9881
9882
9883
9884
9885
9886
9887
9888
9889
9890
9891
9892
9893
9894
9895
9896
9897
9898
9899
9900
9901
9902
9903
9904
9905
9906
9907
9908
9909
9910
9911
9912
9913
9914
9915
9916
9917
9918
9919
9920
9921
9922
9923
9924
9925
9926
9927
9928
9929
9930
9931
9932
9933
9934
9935
9936
9937
9938
9939
9940
9941
9942
9943
9944
9945
9946
9947
9948
9949
9950
9951
9952
9953
9954
9955
9956
9957
9958
9959
9960
9961
9962
9963
9964
9965
9966
9967
9968
9969
9970
9971
9972
9973
9974
9975
9976
9977
9978
9979
9980
9981
9982
9983
9984
9985
9986
9987
9988
9989
9990
9991
9992
9993
9994
9995
9996
9997
9998
9999
10000
10001
10002
10003
10004
10005
10006
10007
10008
10009
10010
10011
10012
10013
10014
10015
10016
10017
10018
10019
10020
10021
10022
10023
10024
10025
10026
10027
10028
10029
10030
10031
10032
10033
10034
10035
10036
10037
10038
10039
10040
10041
10042
10043
10044
10045
10046
10047
10048
10049
10050
10051
10052
10053
10054
10055
10056
10057
10058
10059
10060
10061
10062
10063
10064
10065
10066
10067
10068
10069
10070
10071
10072
10073
10074
10075
10076
10077
10078
10079
10080
10081
10082
10083
10084
10085
10086
10087
10088
10089
10090
10091
10092
10093
10094
10095
10096
10097
10098
10099
10100
10101
10102
10103
10104
10105
10106
10107
10108
10109
10110
10111
10112
10113
10114
10115
10116
10117
10118
10119
10120
10121
10122
10123
10124
10125
10126
10127
10128
10129
10130
10131
10132
10133
10134
10135
10136
10137
10138
10139
10140
10141
10142
10143
10144
10145
10146
10147
10148
10149
10150
10151
10152
10153
10154
10155
10156
10157
10158
10159
10160
10161
10162
10163
10164
10165
10166
10167
10168
10169
10170
10171
10172
10173
10174
10175
10176
10177
10178
10179
10180
10181
10182
10183
10184
10185
10186
10187
10188
10189
10190
10191
10192
10193
10194
10195
10196
10197
10198
10199
10200
10201
10202
10203
10204
10205
10206
10207
10208
10209
10210
10211
10212
10213
10214
10215
10216
10217
10218
10219
10220
10221
10222
10223
10224
10225
10226
10227
10228
10229
10230
10231
10232
10233
10234
10235
10236
10237
10238
10239
10240
10241
10242
10243
10244
10245
10246
10247
10248
10249
10250
10251
10252
10253
10254
10255
10256
10257
10258
10259
10260
10261
10262
10263
10264
10265
10266
10267
10268
10269
10270
10271
10272
10273
10274
10275
10276
10277
10278
10279
10280
10281
10282
10283
10284
10285
10286
10287
10288
10289
10290
10291
10292
10293
10294
10295
10296
10297
10298
10299
10300
10301
10302
10303
10304
10305
10306
10307
10308
10309
10310
10311
10312
10313
10314
10315
10316
10317
10318
10319
10320
10321
10322
10323
10324
10325
10326
10327
10328
10329
10330
10331
10332
10333
10334
10335
10336
10337
10338
10339
10340
10341
10342
10343
10344
10345
10346
10347
10348
10349
10350
10351
10352
10353
10354
10355
10356
10357
10358
10359
10360
10361
10362
10363
10364
10365
10366
10367
10368
10369
10370
10371
10372
10373
10374
10375
10376
10377
10378
10379
10380
10381
10382
10383
10384
10385
10386
10387
10388
10389
10390
10391
10392
10393
10394
10395
10396
10397
10398
10399
10400
10401
10402
10403
10404
10405
10406
10407
10408
10409
10410
10411
10412
10413
10414
10415
10416
10417
10418
10419
10420
10421
10422
10423
10424
10425
10426
10427
10428
10429
10430
10431
10432
10433
10434
10435
10436
10437
10438
10439
10440
10441
10442
10443
10444
10445
10446
10447
10448
10449
10450
10451
10452
10453
10454
10455
10456
10457
10458
10459
10460
10461
10462
10463
10464
10465
10466
10467
10468
10469
10470
10471
10472
10473
10474
10475
10476
10477
10478
10479
10480
10481
10482
10483
10484
10485
10486
10487
10488
10489
10490
10491
10492
10493
10494
10495
10496
10497
10498
10499
10500
10501
10502
10503
10504
10505
10506
10507
10508
10509
10510
10511
10512
10513
10514
10515
10516
10517
10518
10519
10520
10521
10522
10523
10524
10525
10526
10527
10528
10529
10530
10531
10532
10533
10534
10535
10536
10537
10538
10539
10540
10541
10542
10543
10544
10545
10546
10547
10548
10549
10550
10551
10552
10553
10554
10555
10556
10557
10558
10559
10560
10561
10562
10563
10564
10565
10566
10567
10568
10569
10570
10571
10572
10573
10574
10575
10576
10577
10578
10579
10580
10581
10582
10583
10584
10585
10586
10587
10588
10589
10590
10591
10592
10593
10594
10595
10596
10597
10598
10599
10600
10601
10602
10603
10604
10605
10606
10607
10608
10609
10610
10611
10612
10613
10614
10615
10616
10617
10618
10619
10620
10621
10622
10623
10624
10625
10626
10627
10628
10629
10630
10631
10632
10633
10634
10635
10636
10637
10638
10639
10640
10641
10642
10643
10644
10645
10646
10647
10648
10649
10650
10651
10652
10653
10654
10655
10656
10657
10658
10659
10660
10661
10662
10663
10664
10665
10666
10667
10668
10669
10670
10671
10672
10673
10674
10675
10676
10677
10678
10679
10680
10681
10682
10683
10684
10685
10686
10687
10688
10689
10690
10691
10692
10693
10694
10695
10696
10697
10698
10699
10700
10701
10702
10703
10704
10705
10706
10707
10708
10709
10710
10711
10712
10713
10714
10715
10716
10717
10718
10719
10720
10721
10722
10723
10724
10725
10726
10727
10728
10729
10730
10731
10732
10733
10734
10735
10736
10737
10738
10739
10740
10741
10742
10743
10744
10745
10746
10747
10748
10749
10750
10751
10752
10753
10754
10755
10756
10757
10758
10759
10760
10761
10762
10763
10764
10765
10766
10767
10768
10769
10770
10771
10772
10773
10774
10775
10776
10777
10778
10779
10780
10781
10782
10783
10784
10785
10786
10787
10788
10789
10790
10791
10792
10793
10794
10795
10796
10797
10798
10799
10800
10801
10802
10803
10804
10805
10806
10807
10808
10809
10810
10811
10812
10813
10814
10815
10816
10817
10818
10819
10820
10821
10822
10823
10824
10825
10826
10827
10828
10829
10830
10831
10832
10833
10834
10835
10836
10837
10838
10839
10840
10841
10842
10843
10844
10845
10846
10847
10848
10849
10850
10851
10852
10853
10854
10855
10856
10857
10858
10859
10860
10861
10862
10863
10864
10865
10866
10867
10868
10869
10870
10871
10872
10873
10874
10875
10876
10877
10878
10879
10880
10881
10882
10883
10884
10885
10886
10887
10888
10889
10890
10891
10892
10893
10894
10895
10896
10897
10898
10899
10900
10901
10902
10903
10904
10905
10906
10907
10908
10909
10910
10911
10912
10913
10914
10915
10916
10917
10918
10919
10920
10921
10922
10923
10924
10925
10926
10927
10928
10929
10930
10931
10932
10933
10934
10935
10936
10937
10938
10939
10940
10941
10942
10943
10944
10945
10946
10947
10948
10949
10950
10951
10952
10953
10954
10955
10956
10957
10958
10959
10960
10961
10962
10963
10964
10965
10966
10967
10968
10969
10970
10971
10972
10973
10974
10975
10976
10977
10978
10979
10980
10981
10982
10983
10984
10985
10986
10987
10988
10989
10990
10991
10992
10993
10994
10995
10996
10997
10998
10999
11000
11001
11002
11003
11004
11005
11006
11007
11008
11009
11010
11011
11012
11013
11014
11015
11016
11017
11018
11019
11020
11021
11022
11023
11024
11025
11026
11027
11028
11029
11030
11031
11032
11033
11034
11035
11036
11037
11038
11039
11040
11041
11042
11043
11044
11045
11046
11047
11048
11049
11050
11051
11052
11053
11054
11055
11056
11057
11058
11059
11060
11061
11062
11063
11064
11065
11066
11067
11068
11069
11070
11071
11072
11073
11074
11075
11076
11077
11078
11079
11080
11081
\chap PLATO'S IMAGE OF TIME (AN ESSAY IN PHILOSOPHICAL SOCIOLOGY) 

\null\vfill

63-5592 

This dissertation has been microfilmed exactly as received 

\hang
GIOSCIA, Victor Joseph, 1930-- PLATO'S IMAGE OF TIME (AN ESSAY IN PHILOSOPHICAL SOCIOLOGY).\nl
\nl
Fordham University, Ph.D., 1963\nl
Philosophy\nl
Sociology, general \nl

\vfill

\centerline{University Microfilms, Inc., Ann Arbor, Michigan}

\vfill\break

\null\vfill
\centerline{ Copyright by Victor Joseph Gioscia 1963}
\vfill\break

\centerline{PLATO'S IMAGE OF TIME}
\centerline{(AN ESSAY IN PHILOSOPHICAL SOCIOLOGY)}


\centerline{BY}\nl

\centerline{VICTOR JOSEPH GIOSCIA}
\centerline{M.A. FORDHAM UNIVERSITY, 1957}

\centerline{DISSERTATION}

{\parindent=0pt\leftskip=0pt plus1fill\rightskip=0pt plus1fill\parfillskip=0pt
SUBMITTED IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY IN THE DEPARTMENT OF PHILOSOPHY AT FORDHAM UNIVERSITY\par}


\centerline{NEW YORK}
\centerline{1963}

\Q{But now the sight of day and night, and the months and the revolutions of the years have created number and have given us a conception of time, and the power of inquiring about the nature of the universe, and from this source we have derived philosophy, than which no greater good ever was or will be given by the gods to mortal man.}
\Qs{Tim\ae us 47}

\sec CHAPTER 1 --- INTRODUCTION 


If one knew of an important writer who had written 
a number of consecutive and cumulative works, but if one 
chose to read the tenth in the series because he felt 
that it gave evidence of a stylistic superiority, one 
could be criticized for exercising a stylistic preference 
at the expense of his own doctrinal enrichment. 

For example, if it is true that Plato wrote his 
dialogues over a period of many years, and that in some 
of the later works he reconsidered his philosophy of time, 
one could criticise that reader who chose to look for 
Plato's philosophy of time only in those dialogues to 
which he is attracted, by reminding the reader that he 
ignored the possibility of later modifications of doctrine 
which Plato may have attained. 

in this age of process philosophies, we seldom 
witness scholarly interest in Plato's views of time and 
history. And yet Whitehead has remarked that not only the 
process philosophies, but, in some sense, all european 
Philosophy consists of a series of footnotes to Plato.\fnote{A.N. Whitehead, \bt{Process and Reality} (New York: The Macmillan Company, 1941), p. 63.}

If it could be shown that there is a Platonic 
philosophy of time and that this philosophy is as seminal 
for the process philosophies as Whitehead's remark 
indicates it to be, it would seem well worth the effort 
to investigate this topic with some thoroughness. In 
addition, he who begins to read the scholars who have 
written in this area will quickly discover that many of 
them seem to prefer to study those dialogues which have 
come to be called the "middle" group. | 

As the reader will see in the pages to come, there 
has recently been a quickening of interest on the part of 
modern writers in the views of Plato on the question of 
time and its meaning, and these writers have attempted to 
investigate the relations between Plato's philosophy of 
time and contemporary process-philosophies. Several writers 
have addressed themselves to reconsiderations of the 
meanings of Plato's theory of time and the implications 
which this theory might have for contemporary investiga- 
tions. For example, W.H. Walsh discusses the controversy 


which arose after the publication of K. Popper's two 


2 W.H. Walsh, "Plato and the Philosophy of History: 
History and Theory in the Republic,” History and Theory 
(The Hagues Mouton & Co., 1962), II, 1, pp. 1-16. 


3 
volumes, 9 in which Popper wrote, somewhat angrily, that 


Plato's “view of the world" was "fundamentally historical." 
Although Walsh later agrees with Popper's assertion that 
Plato was at bottom a "totalitarian"* he disagrees strongly 
that Plato's view of the world was historical at all, and, 
in the remainder of his article, examines with great care 
and patience Books VIII and 1X of the Republic to show 
that Plato did not really posess a “philosophy of History." 
While it is not the aim of this study to discuss 
these two writers, it is instructive to cite them as 
examples because they contain views which are representative 
of certain aspects of Platonic scholarship in our genera- 
tion.> Walsh represents the tendency to view the Republic 
as the final source of Plato's philosophy of the Polis; 
Popper represents that view which regards Plato as one 
of the first "social scientists" whose interest it was to 
observe and classify those irrevocable patterns in nature 
which make prediction of future events possible. 


R.G. Bury has also addressed himself to the question 


3 K.R. Popper, The Open Society and its Enemies 
(2 vols.; 2d ed. rev.; London: Routledge and Kegan Paul, 
1952). 

4 Waleh, op, cit., p. 6. 

2 See, for example. R.L. Nettleship, Lectures on 
the Republi Plato (New York: The Macmillan Company, 
1955), and E. freee Political Thought of Plato and 
Aristotle (New York: Dover Publications, i 1959). 


Both of these authors make slight reference to the 
Timaeug while discussing Plato's “Political Philosophy.” 


4 
whether Plato has a philosophy of history, and, aithough 


he does not regard the Republic as the final source of 
Plato's reflections on this topic, and pays rather extended 


attention to the Timaeus, he nevertheless concludes that 


Plato does not achieve a sufficiently gradualist position 
to qualify as a genuine philosopher of history.© 

E. MacKinnon! is of the opinion that an adequate 
conceptualization and subsequent insight into the meaning 
of the notion of time in contemporary physics must begin 
with the thoughts which the classical Greeks gave to this 


topic. He cites passages from the Timaeus to show that 


Plato's thoughts on time can be fruitfully consulted by a 
modern theorist and that such a consultation facilitates 
the modern's attempt to understand contemporary physical 
theory. 

The dee teuporany student of Plato nas been delighted 
with the extensive commentary which has been flowing from 
the pen of Gauss” in his six volume Handkommentar, and it 
might be mentioned that in the final volume Gauss devotes 


considerable attention to Plato's Timaeus and the social 


6 R.G. bury, “Plato and History,” Classical 
Quarterly, New Series, 1-2, pp. 86-94, 


T Eaward MacKinnon, 8.J., "Time in Contemporary 


Physics," International Philosophical Quart Daa ae, 
(September, 1962), Dp. 429. 


8 Hermann Gauss, Philosophischer Handkommentar zu 
den Dialogen Platos, vol. itt part 2 (Bern: Herbart Lang, 16. 


function of Piato's theory of time in the cosmology which 
this dialogue develops. 

In a simiitar vein, although of slightly less recent 
vintage, one notices in Bertrand Russell's Mysticism and 
Logic? an extended discussion of the relation between a 
conception of time and the sort of insight which he 
describes as "mystical." There the reader confronts the 
statement that Plato, like ail “mystical” writers, regarded 
the reality of time as illusory, and Russe.l: supports his 
claim by appeal to the Parmenides. He does not distinguish 
between tne character or Parmenides which Plato has 
created in his dialogue, and the real Parmenides whose 
doctrines we must reconstruct from the fragments of his 
works bequeathed to us through the ages. 

There is the now familiar quotation from Whitehead's 
Process and Keality to the effect that an analysis of 
Plato's thought is rar from an antiquarian interest; it 
reads in full, “The safest general characterization of 
the Guropean philosophical tradition is that 1t consiste 
of a series of footnotes to Plato."!9 This statment is of 
considerable import since it appears in @ major work of a 
major philosopher of our own era, who is known to have 


been deeply influenced by Einstein's notion of time in 


a Se SS DST Ec Spe 
9 Bertrand Russell, Mysticism and Logic (Garden 


City, New York: Doubleday & Co., 1917). 
10 Whitehead, loc, cit. 


his Relativity Physics. For this reason, Whitehead's 
philosophy may be viewed as a process philosophy because 
of its radical temporalisn. 

Again, in a similar vein, Heisenberg! ! perhaps the 
most distinguished of living physicists, has recently 
written that the key to the hoped-for solution to the 
fundamental enigmas involved in the constitution of 


matter, is to be found in Plato's Timaeus, where it is 


said that mathematical forms and not fundamental particles 
of a solid stuff are at the basis of the Universe. 

Iwo groups of writers can be distinguished in the 
foregoing citations; one group of writers concern them- 
selves with political and sociologicaL questions, and the 
others are concerned with cosmological questions. It is 
therefore a matter of importance to note that Plato does 
not suffer from this division of subject matter; in the 


Timaeus, it is precisely these two seemingly disparate 


themes which he unites. Thus it is something of a 
problem for modern writers to account for the separation 
of cosmology from politics which most writers assume in 
approaching Plato's written works, although this separ- 
ation is foreign to Plato himself. 

Therefore, in addition to showing the relevance of 


Plato's thought to modern speculation, we must point out 


11 Werner Heisenberg, Physics and Philosophy (New 
York: Harper & Brothers, 1955), ch. 4. 


that some modern writers have divided Plato against hin- 
self, and have viewed his philosophy as if it were divided 
among the academic specializations which characterize 
modern universities. Or, to put the matter differently, 

we ought to realize that Plato's perspectives do not 
mirror our own perspectives, and that Plato's approach 

to certain fundamental questions about the ultimate origins 
of society and the Universe differ from our own. But it 
does not suffice to say that Plato's focus differed from 
our own; one must account for the difference, and explain 
how it was that Plato was able to consider cosmological 
and sociological questions as inseparable. 

To account for Plato's undivided focus on what we 
would consider separate problems, it is necessary to 
anticipate some of the conclusions which we shall reach in 
subsequent chapters. Briefly, it can be said at this 
juncture that Plato included cosmology and sociology within 
a larger perspective, a perspective in which the origin of 
the Universe and the origin of society were seen as stages 
in a temporal process, so that he first presents an account 
of the origins of the Universe and then, presents an 
account of the origin of society, at a later time. But it 
should not pass without comment that Plato's account of 
the origin of the Universe was set down for the purpose 
of deepening his account of the origin of society, and 
that his discussion of the account of the Universe is 


preceded by statements to the effect that it is only upon 


the broad canvass of the entire Universe that the best 
account of society's origins can be painted, !2 

the reason for this metaphorical phraseology 18 not 
arbitrary, and in the remainder of this study it will 
become evident that one must frequently resort to metaphor 
to explain Plato's meaning because Plato himself makes use 


of metaphor throughout his iimaeus, indeed, throughout 


most of his philosophy. This emphasis on metaphor, in fact, 
becomes one of the central problems for any commentator on 


the limaeus and its philosophy. For Plato has fashioned 


his philosophy of time in such a way that it is impossible 
to be faithful to Plato's thought without a heavy emphasis 
on imagery. As we shall see, Plato's discussion of the 
reality of time contains not only a number of images but 
a definition of time whose central term is the word image. 
Since Plato defines time as an image, it becomes the 
probiem of the commentator to reveal as clearly as possible 
the significance of this definition and the reason for his 
inclusion of image as one of its principal terms. 

In short, it would be impossible to discuss Plato's 
Timaeus and its doctrine of time without paying considerable 
attention to Plato's use of the word image, and the meaning 


otf this word in its philosophical context. but there is 


12 See, ror example. F.M. Cornford, From Heligion 
to Phitosophy (New York: Harper & Brothers, 1957). 


another reason for discussing Plato's time-image, and 
again, to anticipate briefly what shall be discussed in 
the concluding portions of this study, we may say at this 
juncture that Plato has put imagery at the heart or his 
time-philosophy because it is the function of an image to 
present complex unities in a simple vision, on which one 
may, if one wishes, focus the more divisive powers of 
logical analysis. In short, Plato's use of image invests 
his doctrine of time with a great unity, which subsequent 
analysis finds to be a rich source of philosophical insight. 
There is unanimous agreement among scholars that 
Plato concerned himself with those inquiries which he felt 
were important for a philosophy of life in community. It 
should not, therefore, be surprising to find that a 
sociologist who is interested in a full and complete 
history of sociological theory, endeavors to examine Plato's 
‘philosophy of society. Since, however, Plato does not 
separate his sociological theory from his cosmological 
philosophy, the sociologist is faced with the necessity of 
familiarizing himself with those parts of Plato's philo- 
sophy which most contemporary sociologists would exclude 
from current definitions of the province of sociology. 
This ought not give rise to the conclusion that the 
contemporary sociologist has forsaken his calling; rather, 
4t should be interpreted as the willingness of the socio- 
logist to extend his inquiry into those regions of 
thought where the theorist he is following has taken hin. 


In this sense, it is clear that Plato's sociological 
thinking must read it in its given context, and to do so, 
4t 4s necessary to notice that Plato has made this context 
cosmological. It follows that the sociologist who reads 
Plato's theories of society without a comprehension of 
their stated cosmological context is attempting to take 
Plato's theory of society out of its given context, and 
that, to do so violates the general canons of scholarship. 
The most explicit formulation which Plato made of his 
philosophy of time is found in his Timaeus. In this 


dialogue, he reexamines some of the ideas he formulated in 
the Republic, and, in so doing, makes the context of his 
examination of society explicitly temporal; that is, he 
suggests that it is necessary to know about time in order 
to know about the best form of society, and he examines 
these two problems together in the Timaeus. 

The most important focus of this study is to set out 
the meaning of this apparant juxtaposition of problems and 
to show that it was no arbitrary mingling of themes, but a 
theoretical synthesis which flows from a central Platonic 
insight. 

It will be established that the Timaeus is very 


probably the last dialogue Plato completed and edited, that 
it 1s followed only by the incomplete Critias and the 
unedited Laws. These facts, taken together with the fact 
that the Timaeus recapitulates some doctrines of the 
Republic, give the Timaeus a central importance in Plato®s 


11 
reflections on society. Only much later in history do we 
find divisions of thought about society into the academic 
disciplines called Political Philosophy, Sociology, 
Economics, Anthropology, etc. Such divisions were not made 


in Plato's era, Plato wrote the Republic, the Statesman, 


the Critias, and the Laws, and in each of these dialogues 
he asks questions which twentieth century thinkers would 
regard as crossing over traditional academic boundaries. 
Therefore, although it might seem altogether strange to the 
modern reader, it is nonetheless true that Plato put 


together the themes of society and astronomy in the Timaeus, 


and that he linked them through his investigation of the 
reality of time. 

It is necessary to clarify the claim that the Timaeus, 
4s the last completed dialogue of Plato. The claim that the 
Timaeus is a “late” dialogue means that the doctrine of the 
Timaeus contains certain generalizations of doctrine which 
show it to be a more mature work, the result of subsequent 
reflection on the doctrines of prior works. The words "more 


mature" therefore mean that the doctrine of the Timaeus 


includes, generalizes, and goes beyond other dialogues 
which are therefore doctrinally “earlier.” Therefore, it 
should be evident that the characterization of a dialogue 
as "late" or “early” or "middle" refers not only to the 
period of Plato's life during which it was composed but 
also to the degree to which its doctrine represents 4 


‘reflective advance over prior positions and themes. 


More specifically, it will be shown that the 
Timaeus contains a discussion of the themes of eternity, 
time, and image, and that these three themes are related 
to each other in such a way as to be inseparable from each 
other and from the question of the basis of a society. 
Thus, the statement that the Timaeus precedes the 
Critias and the Laws and succeeds the Republic means not 


only that these dialogues were written before and after 
each other respectively; it means also that the doctrine of 
the Timacus is a "later doctrine” than the Republic, i.e., 
that is a reflective advance over the doctrine of the 
Republic. owevens 4b should be pointed out that the 
precise meaning of this hypothesized advance will have to 
be spelled out in the following chapters. It is not possible 
to reach @ precise meaning on this point here and now, 
because it is necessary to say exactly how and in what 
way the doctrine of the Timaeus constitutes an advance 
over prior dialogues, which it is the whole business of 
this study to describe. 

Briefly, all that can be done here in the Introduction 


is to anticipate the conclusion, which is that the Timaeus 


refers to doctrines developed in the Republic, Parmenides, 
Theatetus, Sophist, Statesman, Philebus, and modifies the 
doctrines developed in these dialogues in a@ new way, 
referring Sack" to them, and referring "forward," as it 


were, to the Critias and Laws. Again, this is not to say 


that Plato was perfectly conscious of a precise and 


detailed plan to write the Critias and then the Laws, and 


that he knew full well in advance what the exact formula- 
tions of doctrine were to be in these future dialogues. 

No such definite finality is necessary to follow out the 
hypothesis of this study. Most Platonic scholars agree 

that Plato planned to write a trilogy, of which the 

Timaeus was the first dialogue, but we cannot even be sure 
that he fully intended to complete the trilogy. It may well 
be, as Cornford says, !° that Plato planned only to complete 


the Critias, and then changed his mind and wrote the Laws 


instead of the Hermocrates. Again, this does not damage 


the hypothesis of this study. 
In short, all that is maintained here is the view 


that the 4maeus contains Plato's most mature reflections 


on the themes of eternity, image, and time, and that in 

the Timaeys this trilogy of themes receives the most 
explicit formulation Plato gave it. this late formulation 
reformulates some of the ideas Plato had formed in the 
Republic, and therefore, one ought not look to the Republic 
for the final formulation of Plato's philosophy of eternity, 
time, or image. Further, the themes of eternity, time, 


and image are treated in the Timaeus in an explicitly 


13 F.M. Cornford, Plato's Cosmology (London: 
Routledge and Kegan Paul, Ltd., 1 » p. 8. 


sociological framework, and are said to be part and 
parcel of the inquiry into the best society and its basis 
in time. 

It is necessary to clarify the special use of the 
term "hypothesis" as it will be employed in this study. 
By hypothesis is meant nothing more than a tentative 
assertion of a conclusion, such that one states an hypo- 
thesis and then musters “arguments” in favor of it. The 
hypothesis in this study is a tripartite one: it involves 
the tentative assertion that the Timaeus is a "late" 
dialogue, that is, it was written during Plato's last years 
and it contains his most mature reflections on the doctrines 
which it discusses; it involves the tentative assertion 


that the doctrines of the Timaeus constitute a maturation 


and are the results of a progressive evolution which can 
be traced through the group of dialogues which the scholars 
have agreed to call the “late” group; and it invoives the 
tentative assertion that the themes of eternity, image, and 
time, can be focused upon as those themes which Plato 
devoted his maturing efforts to expand and deepen by 
repeated reflection upon them. Finally, the tripartite 
hypothesis involves the tentative assertion that Plato's 
thoughts on the basis of society gradually shifted from an 
"eternalist” to a “temporalist"™ orientation; that is, in 
his early works, Plato reasoned to the conclusion that 


society is based on an eternal model, and in his later 


15 
works he reasoned that society also shares in a temporal . 


process, or, to be more exact, in the reality of time 
itself. 

Thus it is necessary to distinguish the word 
“hypothesis” from other uses of the term. For example, in 
the Parmenides Plato discusses eight "hypotheses" and his 
meaning there seems to be that one may tentatively assert 
@ proposition, and then, by reasoning logically to the 
conclusions which flow from it, and by asking whether these 
conclusions seem acceptable or not, either accept or reject 
the hypothesis. This is not the meaning of the term hypo- 
thesis as it will be employed here, for we do not intend 
to begin with the assertion that the Timaeus is a late 


dialogue in which certain views are put forward. Rather we 
will attempt to ascertain whether there are acceptable 
arguments on whose basis it seems reasonable to conclude 
that the Timaeus is what we hypothesize it to be and 
whether it says what we say it says. 

Finally, it is necessary to distinguish the term 
hypothesis from the usage of the so-called physical 
sciences, wherein “data" are brought forward to "validate, 
verify, and confirm" the hypothesis. In the sciences, an 
hypothesis is said to be a “testable” proposition by 
reason of “operationalizing” its terms; i.e., describing 


the operations through which the investigator has gone 


16 


in the process of reaching his conciusions. 14 

As used in this study, the term hypothesis means that 
a conclusion has been tentatively reached and an insight 
has been developed by the writer as a result of reading 
the statements and works cited, and that he regards his 
views as reasonable conclusions because he has interpreted 
certain passages in a certain way. The term hypothesis is 
used because the writer does not regard his conclusions as 
definitive and exhaustive, but as probable and reasonable 
conclusions. In this, the method of hypothesis and argu- 
ments in favor of adopting the hypothesis as a conclusion 
resemble but are not identical with the methods of the 
sciences, because it is impossible to measure an inter- 
pretation with physical instruments or to reveal by what 
processes or operations one has reached his conclusions. 
Nevertheless, it is claimed that, by focusing his attention 
on the passages discussed, another student of Plato will 
probably be brought, if not to identical, then to similar 
conclusions. 

One could, then, assert that it is the hypothesis of 
this study that the Timaeus is a late dialogue in which 


Plato has united several themes from the late dialogues 


14 Garl G. Hempel, “Fundamentals of Concept 


Formation in Enpirical Science,” International Encyclopaedia 
of Unified § ce, vols. I and IT; Foundations of the 
° ence, C. 
reas, 1 e 


vol. II, no. 7 (University o cago 


17 
into a new unity, and that this new unity of themes places 
society on a basis different from the one it received in 
the earlier dialogues. Then the chapters devoted to the 
several aspects of this hypothesis could be viewed as 
"data" which conspire to "verify" the hypothesis; i.e., 
make it seem more reasonable than another view. 

There are, then, three important problems surrounding 
Plato's philosophy of time. First, to get the philosophy 


of time into its Platonic context, it is necessary to 


show the chronological relation of the Ltimaeus as a dialogue 
to the other dialogues. ‘this is an “external argument" 
which attempts to establish the relative chronology of 
the dialogues by relatively non-interpretative criteria, 
i.e., criteria which do not demand an insight into the 
meaning of Plato's thought. Second, it is necessary to set 
the philosophy of time in the Timaeus in its philosophical 
context. This is an internal argument, which traces the 
development of Plato's philosophy of time through the late 
dialogues, in which he considered this problem. Third, it 
is necessary to show how the definition of time emerges 
gradually from Plato's thought in the late group of 
dialogues, where the use of an image becomes gradually 
more appropriate. 

These problems form a cluster about a deeper point, 
and it 1s this deeper point which deserves the best efforts 
towards clarification. Since Plato investigates the meaning 


of time, eternity, and image together in his effort to 


18 


describe the basis of the best form of society, it is 
necessary to reveal as clearly as possible how the themes 
of eternity, time and image are related to the basis of 
society. This constitutes the primary purpose of this study. 
As we said above, the twentieth century has witnessed 
an increasing concern for what is called the Philosophy of 
History, which includes an attempt to understand human 
behavior in its historical setting. !> Plato is infrequently 
consulted in this attempt, and when he is, the Republic is 
most frequently consulted. If it can be shown that Plato 


in the Timacus devotes his most mature reflections to the 


meaning of human life in society in its historical setting, 
then the tendency to regard the Republic as the definitive 
source of Plato's reflections on man in history may receive 
a@ small counter-thrust. It may well be that Plato's 
philosophy of time and society, seen together as they are 
in the Timaeus, contains the seed of an insight relevant 
for our times. 

As to the format of this study, certain preliminary 
remarks are in order. In the second chapter will be found 
@ discussion of those arguments drawn from relatively non- 


interpretative sources which set the Timaeus in its 


15 Hans Meyerhoff, ed., The Philosophy of History 
in Our Time (New York: Doubleday & Co., 1959), which 
contains a valuable anthology of the important authors 
in this field and some of their most representative 


views. 


19 
chronological order. That is, it will be demonstrated that 
the Timaeus is in fact the last completed work we have 
from the pen of Plato, since the Critias is unfinished and 


the Laws is unedited. The argument in the second chapter 
is as external as it is possible to be, and relies as 
little as possible on insight into the meaning of Plato's 
thought. It is devoted to the scholars' discussions of 
Greek language and with certain topographic features of 
the dialogues. The order of the dialogues according to the 
"ancients" is recounted; stylistic and linguistic criteria 
are described and the conclusions reached by these methods 
are stated in support of the hypothesis. Certain details 
of Plato's life which are known from sources other than 
Plato's own writings are brought forward as additional 


support for the claim that the Timaeus is a late work. 


Finally, the same chapter examines the information avail. 
able to us in Plato's Seventh Letter. The problem of its 
authenticity is discussed and the relevance of this 
information is described. 

In the third chapter, the order of the dialogues is 
taken to be correct, as established by the external 
criteria, and, assuming this order, the themes of eternity, 
time, and image are traced through the Republic, Parmenides, 


theatetus, Sophist, Statesman, and Philebus. The gradual 
culmination of these themes in the Timaeus is anticipated 


by tracing the development of these themes through the 
late dialogues. It is therefore not appropriate to call 


20 
this chapter only an internal or interpretative argument 


in support of the hypothesis that the Timaeus is a late 


dialogue, for it is concerned with the meaning of the 
doctrines of the several dialogues as well as the gradual 
progression of doctrine which becomes visible by reading 
the dialogues in sequence. 

The fourth and fifth chapters are devoted to a 


commentary on those parts of the Timaeus which pertain to 


the trilogy of themes of eternity, image, and time, and 
those aspects of prior dialogues which are pertinent to 
these themes as the Timaeus treats them. In the final 
chapter the relation of eternity, time, and image to the 
Philosophy of Society is discussed in detail; certain 
references to the Critias and the Laws are made for 


additional clarification. 

The final chapter is therefore devoted to the 
Philosophy of Society and the Philosophy of Time in their 
concatenation and interrelationship. Some modern studies 
of Plato's philosophy of history and the conclusions which 
these studies reach are there discussed, and, where 
appropriate, differences between their conclusions and 
the conclusions of this study are presented. Plato's 
Philosophy of Time and his Philosophy of Society are shown 
to be interdependent. 

Finally, it should be mentioned that the study will 
draw on the original Greek sources only insofar as there 


are controversial points of grammar, and that English 


21 
translations are used throughout. 

The writer realizes that this study concerns only a 
small part of the whole philosophy of Plato, and he humbly 
admits himself to the company of those more learned than 
himself who assert nonetheless that one never masters 
Plato but continues to learn from him at each reading. 

The plan of the thesis, then, is quite simple. The 
second chapter will show that there is a significant 
measure of scholarly agreement on the order of the 
dialogues. The third chapter will trace the doctrines of 
eternity, image, and time through the late group of dia- 
logues. The fourth and fifth chapters will show the inter- 


relation of these themes in the Timaeus. The concluding 


chapter will show the relationships between Plato's 
philosophy of time and his philosophy of society, and 

point out what these relationships signify for a philosophy 
of history in the Platonic manner. 

The study aspires to show that Plato regarded the 
eternity of the Forms as the sole basis of perfection 
when he was in his middle years, and that the Republic 
may well be taken as representative of the philosophical 
reflections Plato articulated during these years. But, 
during the last years of his life, Plato rethought many 
of the themes of his earlier years, and, as the result of 
significant experiences and significant reflections on 
them throughout his later years, finally arrived at a 


reformulation of the doctrines of the middle years. 


22 

In his late reformulation, the temporality of the Forms 
takes on new meaning. 

Whereas the Republic placed society on an eternal 


basis, the Timaeus places society on a temporal basis. But 


one should not conclude that Plato has simply shiftea from 
one pole of a dichotomy to its opposite, for such a view 
would be incorrect. Rather, one should follow Plato 
through the doctrinal reformulations he accomplishes in 
his late dialogues to see how he has expanded his philo- 
sophical horizons, and in that way, one may arrive, as 
the writer has, at the view that Plato has ascended new 
philosophical heights, in which the simple dichotomy 
between time and eternity is no longer valid or fruitful, 
and that one best comprehends the basis of society by 
comprehending the processes which we call Time. One 
should not infer that Plato has abandoned former insights 
in his later doctrines. On the contrary, his former 
insights are included in his new doctrines, not merely as 
special cases but as points of departure. He retains the 


old in the new. 


23 
CHAPTER IT 
THE ORDER OF THE DIALOGUES 


In the first chapter, it was stated that an attempt 
will be made in this study to verify the hypothesis that 
the Timaeus is a late dialogue in which Plato significantly 


reformulates his earlier doctrines of eternity, image, and 
time. It was stated that the hypothesis was to be invest- 
igated by dividing it into two logically interrelated 
aspects; first, the order of the dialogues will be 
established and their relative chronology will be documented; 
second, the doctrines of the late dialogues will be 

traced insofar as they develop the tripartite theme ofr 
eternity, image, and time. 

It was said that the first aspect relied upon 
criteria which demand an interpretation of the significance 
of Plato's style, and that the second aspect depends on an 
interpretation of Plato's thought. In this chapter, the 
criteria which do not depend on an interpretation of 
Plato's thought will be discussed. This chapter assumes 
that some knowledge of the order or Plato's dialogues is 
needed in order to interpret them intelligently, and so 
the chapter which discusses how the scholars established 
this order precedes the chapter which discusses Platonic 
doctrine. : 

It should be stated at the outset that one cannot 


simply assume that a dialogue which was composed later 


24 


than another is therefore necessarily a more mature work. 
This is precisely what must be demonstrated. In this 
chapter, the chronology of the dialogues is ascertained 
insofar as this is possible by citing the conclusions of 
those scholars who have specialized in the use of styl- 
istic criteria. If one establishes the chronological 
order of composition there is a valid presumption that 
it also representa some sort of development in doctrine. 
If, then, one shows in addition that the doctrines 
developed follow an ascending order of reflection, the 
point is made. ‘thus, the arguments are not independent 
of each other. 

If it can be shown that there is a development of 
doctrine which can be traced through the late dialogues, 
then it can be shown that this progression facilitates 


comprehension of the doctrine of the Timaeus. More 


specifically, the themes of eternity, image, and time 

can be traced through the late dialogues only after one 
knows which dialogues are late and in what order they 
should be read. Thus the chronology of the dialogues 

and the progression of doctrine are not separate items but 
logically interrelated aspects of a larger argument. 

It would be possible to postulate an order for the 
dialogues which would support the view that the doctrine 
of the Timaeus is a culmination, and each scholar could 
do this without reference to non-interpretative criteria. 


‘But, in this way, so many different postulates would ensue 


25 
that it would become impossible for scholars to reach any 
agreement among themselves. This in fact is what happened 
when doctrinal criteria alone were used, and it resulted 
in such widespread disagreement that a need for some sort 
of non-interpretative criteria by which to establish the 
sequence of the dialogues was finally perceived. Further, 
the reliance on interpretative criteria alone and the 
subsequent differences in the alleged order could support 
the conclusion that the relation of the dialogues to each 
other had no bearing on their respective doctrines, since 
each scholar might postulate a different chronology. But 
Plato himself contradicted this view in those of his 


dialogues which refer to each other, as, for example, in 


the Timaeus, which refers to the Republic almost explicitly 
by repeating ‘ciods doctrines of the HKepublic which are 
found nowhere else in those of Plato's written works which 
have come down to us. 

The proceedure followed in this chapter is as 
follows. Firat, the testimony of the ancients is adduced. 
then the efforts of scholars to use stylistic and Linguistic 
criteria are described. Then, biographical intormation 
about Plato's life and travels is recounted. Finally, 
Plato's own description of his life and his travels is 
presented. By drawing from each of these sources, one can 
compile a composite picture of the criteria by which the 
order of the dialogues can be established, without 


reference to an interpretation of Piato's thought. It will 


26 
be shown that all of these sources lead to the conclusion 
that there is a group of dialogues which are later than 
others, and that the Timaeus is the latest of this group. 


In the next chapter, it will be shown that the doctrinal 
interpretation of these dialogues leads to a greater 
insight into the doctrine of the imaeus. 


I_The Traditional View 
Writing in his "Commentary," A.E. Taylor presents 


an impressive list of ancients who authenticate the Timaeus 
as Plato's work. He cites Aristotle's references to 
passages of the Timaeus and the fact that Aristotle refers 
to the Timaeus as a completed dialogue. In addition to 
reminding us that Aristotle may be presumed to know the 
works of his teacher, Taylor cites, in regard to the 


authenticity of the Timaeus, the testimony of Theophrastus, 


Plutarch, Chalcidius, Xenocrates, Crantor, Poseidonius, 
Procius, Plotinus, Boethius, Cicero, and Diogenes Laertius, ! 
This list is offered against the view of Schelling, who 
contended that the Timaeus was spurious, and by it, 

taylor demonstrates that those who do not recognize the 
Timaeus as authentic are in the decided minority. There is 
little need to recapitulate all of the scholarship on each 
of these authors’ claims and it is certainly sate to regard 


Taylor's scholarship in these matters as impeccable. 


. ' avs. Taylor, commenter on Plato's iimaeus 
(Oxford: Clarendon Press, 1928), pe. 4. 


te 


To this List, Cornfrord adds the names of Galen, 
Theon, Derclydes, and Adrastus, who not only knew the 
Zimaeug to be Plato's own but in addition agreed that it 
was the work of Plato's maturity. Summing up his own 
argument, Cornford says, "All the ancient Platonists from 
Aristotle to Simplicius, all the medieval and modern 
scholars have assumed that this dialogue contains the 
mature doctrine of its author." Again it seems unnecessarv 
to repeat the details of Cornford's scholarship which may, 
like Taylor's, be regarded as impeccable. Both authors 


state that the ancients regarded the Timaeus as Plato's 


mature work. 

But the testimony of the ancients is hardly sufficient 
to establish beyond doubt that the Timaeus is both Plato's 
work, and, in addition, a work of Plato's old age. Citing 
the ancients lends a great deal of support to the claim 


that the Timaeus is authentic, but the claim that it is a 


late work bears closer scrutiny. This is especially true 
in view of the fact that, at one time, a lively controversy 


with regard to the alleged maturity of the Timaeus took 


place among the scholars. 

Between the time of the ancients and the moderns, 
the Timaeug was not unknown. Jaeger presents a short and 
terse history of the Timaeus in the middle ages. Beginning 


2 ¥F.M. Cornford, Plato's Cosmology, p. viii. 


28 


with the fact that Plato's Timaeus deeply influenced 


Augustine, and through Augustine, the whole of the middle 
ages, and continuing through the Renaissance by way of the 
Byzantine theologian and mystic Gemistos Plethon, who 
brought Plato to the Quattrocento, Jaeger also describes 
the treatment Plato received at the academy of the Medicis, 


where Marsilius Ficinus taught from the text of the 


Timaeug.” 


Jaeger notes a change in the eighteenth century, 
when Schleiermacher seems to have resuscitated a Plato who 
was nonetheless very much alive. However, theretofore, 
Plato had been regarded as a mystic and as a theologian 
whose doctrine was as systematic and systematized as the 
Aristotelianism of the Schoolmen. Plato was regarded only 
as the author of the theory of ideas.” 

According to Jaeger, it was Schleierzacher's 
contention that the form which a philosophy took was a 
creative expression of the philosopher's individuality, 
and it was Plato's genius, he thought, to dramatize, and to 


use philosophy as a “continuous philosophical discussion 


aimed at discovering the truth. "> 


> Werner Jaeger, Paideia: The Ideals of Greek 
Culture (3vols.; New York: Oxford University Press, 
1943), II, pp. 77, 78. 

4 Ibid., p. 78. 


> Ibid., p. 79. 


29 

Immediately after Schleiermacher's view became 
known, there followed a period during which the philo- 
logical investigation of every last minute hypothesis of 
Plato's was undertaken with the painstakingly precise 
attention for which philologists are deservedly famous. 
However, it soon became evident that the forest was being 
obscured by the trees. 


It remained for C.F. Hermann® 


to regard the problems 
of authenticating not only the authorship but the chrono- 
logy of Plato's dialogues as of paramount importance, and 
Jaeger tells us that Hermann came to regard the dialogues 
as "stages in the gradual development of Plato's philo- 
sophy."? Thus Hermann brought "into the center of interest 
@& problem which had hitherto been little considered, and 
gave it much greater importance. This was the problem of 
the dates at which the several dialogues had been written, "8 
Since various authors developed differing opinions on the 
dating of the dialogues by using doctrinal criteria alone, 
4t was the task of philology and researches into stylistic 


differences and minute characteristics of language to fix 


the date of composition as exactly as possible. 


© o.F. Hermann, Geschichte und 8 m der 
Platonischen Phil EOUONTy 1e30), in Jaeger, 
oS ae Pe 79. 

T Jaeger, Op, cite, p. 79. 

5 tpad., p. 80. 


30 
II The Stylistic Controversy | 

T. Gomperz presents an entire chapter on the question 
of the authenticity and order of Plato's dialogues.? He 
makes a good summary of some of the chief difficulties to 
be encountered in an evaluation of the results of the whole 
stylistic controversy, and gives evidence of how and to 
what extent the whole question has been settled, 

He begins with a tantalizing supposition: suppose 
Speusippus had sat down one afternoon, and, in fifteen 
minutes, written on a scrap of paper the order of the 
Platonic dialogues. But, of course, Speusippus did no such 
thing, nor did anyone else, so that the scholars were left 
with the need to know the order of the dialogues, but, 
also, they were left with a need to construct methods of 
establishing the chronology, with no hints from Plato or 
the Academy as to which methods would prove the most 
fruitful, 1° 

Initially, each man interpreted the dialogues in 
what he felt was the logical order of Platonic philosophy. 
But this produced almost as many logical orders as there 
were interpreters. 

According to Gomperz (and others, including Jaeger) 


it was Schleiermacher who first attempted to find his own 


9 Theodor Gomperz, eyock thinkers, trans. G.G. Berry 
(London: John Murray, 1905). 


10 Ipad., pe 275. 


31 
way out of this myriad of opinions. By viewing Plato's 
doctrine developmentally, and, starting with Aristotle's 
guarantees as to certain authentic passages and chronolo- 
gies, he set about constructing an orderly arrangement of 
the dialogues. However, this attempt got off to a wrong 
start because, since only approximately half of Aristotle's 
works are extent, it became possible for some to construct 
what was called the argument from silence, i.e., those 
works of Plato which Aristotle did not mention might be 
regarded as spurious. !! Gomperz points out that this was 
really an excess of Platonic zeal since it included only 
those works which Aristotle claimed were Plato's best. '* 
Notwithstanding these efforts, Gomperz states that 


even in ancient tradition, the Laws were regarded as Plato's 


last work. Campbell then perceived that there were 
stylistic similarities between the Laws and the Timaeus 
and the Critias, including the fact that some 1500 words 
were used in these works which do not appear in any of 
Plato's earlier works.!> In addition, these works appear 
last on the list of Plato's works which was kept by 
Aristophanes of Byzantium, the Librarian of Alexandria. 


But these are not final criteria. Gomperz asks "...is not 


11 Ibid., p. 278. 


12 Ipad. 
15 Ipaa., pp. 279, 283. 


32 
an author's ‘advance,’ his progress towards perfection 
the surest criterion for the chronological arrangement of 
his works"? He answers his own question in the affirmative, 
but reminds us that this road leads to diverse and varied 
interpretations of "advance," because there are so many 
possible meanings for this tern. '* 

For these reasons, the stylistic methods were tried. 
Describing them as "linguistic...and verbal statistics, "!5 
Gomperz lists some of the criteria employed: 

@. number and use of particles 

b. new words and phrases 

c. certain formulae of affirmation and negation 

d. special superlatives !© 

He goes on to say that the use of these criteria 
produced "astonishing agreement between many different 


investigators."!7 They noted that the style of the Laws, 


known to be late, (from other sources) was very similar to 
the style of the Timaeus, Critias, Sophist, Statesman, and 
the Philebus. 


He concludes: 


The determination of the chronologically separate 


14 Ipda., p. 284. 
'5 Ipaa., p. 285. 
16 psa, 

17 Ibid., p. 286. 


33 

groups and the distribution among these groups 

of the {individual dialogues...are problems 

which may be regarded as finally solved; the 

more ambitious task of settling the chronological 

order within all the groups cannot yet be said to 

have been completed. ! 

However, Jaeger claimed, 

This method, in its turn, was at first successful; 

but it was later discredited by its own exagger- 

ations. It actually undertook, by the purely 

mechanical application of language tables, to 

determine the exact date of every dialogue.19 

Before entering into this lively controversy, it is 
necessary to distinguish a few crucial points; otherwise, 
Jaeger's claim that the movement discredited itself will not 
be intelligible. First, let it be noted that it 1s some- 
times impossible to distinguish very well between the 
date of composition of a dialogue, that is, the period of 
time during which Plato is said to have actually written 
down his thoughts, and the date at which the dialogue 
appeared, that is, was circulated, and, as we should say, 
released for publication. Although it is sometimes possible 
to indicate that a dialogue was actually composed in the 
late period of Plato's life, one cannot simply equate a 
late doctrine and a late writing. This distinction is 
necessary if one is to assert that the doctrine of the 
Timaeyus is a late formulation in Plato's life, and, as our 
documentation will attempt to indicate, both the formulation 


of doctrine and the actual composition of the Jimacus seem 


~ Ibid., p. 287. 19 Jaeger, loce cit. 


34 


to be very late, according to the sources available to us. 
But one cannot jump immediately from the conclusion that a 
dialogue was written late to the conclusion that its 
doctrine is therefore, on that basis alone, a late doctrine. 
It should be pointed out in this regard that we have no 

way of knowing whether Plato did or did not compose in the 
last years of his life, dialogues whose doctrine and style 
we should call early or middle doctrines. Like anyone else, 
he might incorporate in late writing what he had formulated 
much earlier. Although it is unlikely that Plato set early 
or middle doctrines down on paper in his late years, it is 
aimost impossible to establish this unlikelihood to a 
degree of satisfaction which would entirely eliminate 
controversy. For example, the last few pages of the Philebus 
seem not to be in the same style or in the doctrinal spirit 
as the rest of the dialogue. It may well be that this 
dialogue was left unfinished by Plato, and was completed by 
the Academy after Plato's death, and that the completion 
was accomplished by an academician whose insight and 
doctrinal leaning corresponds to what we should call the 
middle period of Plato's philosophy. 

However, in the instance of the imaeus, it is claimed 
here that both the doctrine and the composition of the 
dialogue are to be placed in the last years of Plato's 
life, and that it was probably a late doctrine, because it 


was composed late. These are the two sides or halves of the 


ks 


35 
argument which we are following in the attempt to verify 
our hypothesis. On the one hand, if the dialogue was 
written late, we have probable grounds to infer that ite 
doctrine is a late one. But it is unwise to conclude only 
from its late composition that the Timaeus contains a late 
view. In addition to establishing its date of composition 
one must examine its doctrine, to see whether it reveals a 
more developed form of Plato's later thought. Having made 
this distinction, it is now possible to pass in review 
the main points of the stylistic controversy, whose 
protaganists and antagonists tried by what we are calling 
non-interpretative criteria, to establish the late date of 
composition of the Timaeus. 

Campbe112° presents a brief outline of the history 
of attempts to date the dialogues. He recounts how 
Schleiermacher was so assured that Plato had a complete 
system of philosophy to expound that there must have been 
a pedagogical order of the dialogues which Plato intended 
so that his students could gradually master his philosophical 
systen. 

Campbell says that Schleiermacher's conception of a 
“complete system gradually revealed" was a stirring one 


which caused a renaissance of Platonic scholarship. Later, 


20 L. Campbell, "Plato," Encyclopaedia britannica, 
llth ed., Vol. XXI, pp. 808-824. 


36 


C.F. Hermann's statement that the gradual development of 
Plato's thought in the dialogues was not a pedagogical 
gradualism but reflected the slow maturation and develop- 
ment of Plato's mind, brought about a quickening of 
interest beyond even that which Schleilermacher had precip- 
itated. Ueberweg discerned that the Sophist and the 
Statesman must be placed between the Republic and the Laws 


on the basis of Hermann's view. Ueberweg and other Hegelians 
felt that the non-being of the Sophist represented a 
dialectical advance over the Republic and welcomed the 
chance to demonstrate this point of view by mapping out 

the dialogues in a series of dialectical advances, -! Grote, 
on the other hand felt so strongly that the Protagoras was 
Plato's most mature doctrine that he discounted the 
chronological attempts of Schleiermacher, Hermann, and 
Ueberweg. 

Campbell adopted a different method of reasoning. 
Starting with the conclusion that the Laws remained 
unedited because Plato died before he could do so himself, 
and noting that the Laws contains a reference to the death 
of Dionysius Il, and inferring from the tone and style of 
the Laws that it is almost a monologue and represents a 
departure from the Socratic dialogues, and adding the 
agreement of the Ancients with his own view, Campbell 


21 Ipid., p. 810. 


37 
‘concluded that the Laws is probably the last of Plato's 


works. Then, Campbell reasoned that both the Timaeus and 


the Critias presuppose the Republic, and both resemble 


the Laws in style and tone. Thus they should both precede 
the Laws. Since the Sophist and the Statesman seem to 


belong together, he placed the Philebus between them and 
the Timaeus and Critias. So, Campbell concluded, the order 


of the late dialogues must be begun at the Sophist, and 
followed by the Statesman, Philebus, Timaeus, Critias, and 


Laws. ° He says, in addition, that Dittenberger and Ritter 
followed him in taking this view, and that Lutoslawski 
later reached the same conclusions. —> Jaeger says that he 
himself reached these same conclusions by another route. 


He also agreed with Campbell that the Parmenides, and 


Theatetus immediately precede the Sophist. 


It should be pointed out that Campbell's chain of 
reasoning depends on the placement of the Laws as the last 
of the dialog'es, and this placement does not rest 
exclusively on non-interpretative bases, since it includes 
the criterion of the tone and style of Plato's language. 
One must have at least a comprehension of the tones and 
styles of the language in which Plato wrote and some 


knowledge of the relation of style to the content which 


22 Ipig. 
23 Ip4a. 


38 
is expressed by language. To avoid confusion, it is 
necessary to define certain terms as they are employed in 
this study. By stylistic criteria, I mean the use made by 
reputable scholars of observations such as the presence 
or absence of Socrates in a dialogue, or the apparent 
attempt on Plato's part to have his passage read more 
smoothly and without unnecessary interruptions. Such 
devices as the avoidance of hiatus and the use of 
anacoluthic sentence endings are here called stylistic. 
The term stylometry refers to the application of statisti- 
cal procedures to the number of particles in a paragraph, 
or to the frequency of certain words in one dialogue as 
against another; clearly, it carries metric connotations, 
and necessitates only the sort of competence which can 
easily be programmed into a computer. Whereas the stylistic 
reader must understand what he reads, the stylometric 
reader ought to avoid understanding the passage he 
subjects to statistical criteria. A similar difference 
could be found between counting a number of unknown 
objects, which, by analogy, would represent the stylo- 
metric method, and concluding that the objects so counted 
are a strange lot of objects, which be analogy, would 
represent the stylistic method. It is one thing to count 
the number of clausulae and quite another to notice that a 
passage reads more smoothly because of the presence of a 
number of clausulae. Thus objections to the use of stylo- 


,metric scholarship need not carry equal weight if referred | 


39 
to stylistic scholarship. It would be impossible, for 
example, to put words of the Laws into a computer and 


arrive at the conclusion that the Laws 1s a late dialogue, 


without at the same time programming into the computer the 
criteria according to which one says that a certain 
language style is late or early. There are similar studies 
concerning the language of Homer in progress at Columbia 
University, and there too, the criteria of "lateness" 
must be agreed upon before the "purely mechanical applica- 
tion of language tables to determine the exact date of 
every dialogue" is undertaken. Thus, Campbell's argument 
should read as follows; if the Laws is agreed to be last, 
then the remainder follows on stylistic grounds. And it 
should be tallied against Jaeger that the placement of the 
Laws as last does not rest on "purely mechanical” criteria. 
This conclusion bears directly on the question of 


the chronology and the relation of the Seventh Letter to 


the Timaeus, because the Seventh Letter contains a 


description of certain events in Sicilian politics in which, 
Plato was directly involved. These events were significant 
experiences for Plato, and their impress is discernible 

in certain passages of the Timaeus. Detailed comment on the 
impact of the Sicilian journeys on the doctrine of the 
Timaeus will be reserved for the discussion of the 

doctrine of the-Timaeus in the fourth chapter. Suffice 

4t here to point out that the autobiographical material 
Which the Seventh Letter makes available was taken over 


= 40 
by the stylists,-” 25 and added to their attempts to : 
establish the order of the avavoedee: Again, this shows 
that the stylistic criteria cannot be viewed as "purely 
machanical.” On the one hand this limite the extent to 
which stylistic criteria may be said to be non-interpreta- 
tive; on the other hand, since interpretative sources 
enter into stylistic researches, it seems to add to the 
reliability of stylistic criteria in establishing the 
order of the dialogues. 

A.E. Taylor says that the real impetus for the 


stylometric method was received from Campbell's ground- 


breaking edition of the Sophist and Statesman, and that 


Dittenberger, Ritter, and Lutoslawski continued and 
extended Campbell's efforts, but, he adds, these scholars 
were able to agree further that there was a definite break 
in style between the Theatetus and the whole group of 
dialogues Which Campbell had called the late group. How- 
ever, Taylor says that the stylometric tabulations, while 
they could establish whole groups of dialogues which 
shared a style, could not effectively establish the order 


of dialogues within a given group. °° 


24 U.v. Wilamowitz-Moellendorff, Platon,I (2d ed.; 
Berlin: Weidman, 1920), in Jaeger, op, cit., p. 80. 


25 Jaeger, Op. cit., p. 84. 

26 A.E. Taylor, "Plato," Encyclopaedia Britannica, 
agar (Chicago: Encyclopaedia Britannica, Inc., 1957), 
pe 49. 


Le 


Af 
It is interesting to follow A.E. Taylor's shifting 

emphasis and reliance on the stylistic researches. In the 

article which he wrote for the Britannica, ! Taylor says 


there are no stylistic grounds for placing the Timaeus 


late in the order of Plato's dialogues. However, in the 
Commentary on the Timaeus, -° there is a rather extensive 
description of the stylistic and stylometric criteria and 
@ rather extensive reliance on both of them, albeit 
accompanied by a critique. Later, in Plato, the Man and 
his Work, “2 there is a recapitulation of the stylistic 
criteria and a somewhat limited reliance upon them. One 
can only conclude that Taylor did not deem it worthwhile 
to inform the readers of the Britannica on the intricasies 
of the stylistic controversy. Nevertheless, in all these 
works, Taylor concludes that the Timaeus is the work of 
Plato's last years. 

It is informative therefore, to read Taylor's 
description of the satylistic criteria. He summarizes those 
used to establish the late group as follows: 

1. @ reduction of dramatic style 

2. a lesser role for Socrates 


3. the presence of a lecture 


27 Ipid. 
28 A.E. Taylor, Commentary, p. 4. 


29 alm Taylor, Plato: The Man and His Work (6th 
ed.;3 Aa print.; New York: Meridian Books, Inc., 1959), 
(Pe 436. 


42 

4, periodic versus poetic style-0 
He says, in addition, that the last dialogue which bears 
the marks of Plato's earlier style must be the Theatetus, 
and that he shares this view with Ritter”! and 
Lutoslawek1.>* 

A.E. Taylor's recapitulation of the stylistic 
criteria is especially interesting in view of the fact 
that he follows Burnet rather carefully, and yet Burnet 
states, "I have ventured to assume the results of the 
stylistic researches inaugurated by Lewis Campbell in 
1867.""2 It is also interesting to note that Burnet, like 
taylor, refers to these researches as stylistic and not 
stylometric, which indicates that he is not willing to go 
so far as Lutoslawski's application of calculus to the 
frequency of hiatus and the use of clausulae in Plato's 
aQialogues. On the other hand, Burnet himself makes use of 
"stylistic" arguments when he notes that the early dialogues 
make use of dramatic form and employ the person ot Socrates 


centrally in that endeavor, whereas the later dialogues do 


30 A.E. Taylor, Commentary, pe 4. 
31 


Constantin Ritter, The Essence of Plato's 
EnLiceophy, trans. Adam Alles (London: George Allen & 
Unwin, Ltd., 1933). 


32 W. Lutoslawski, Origi ad Growth of Plato's 
Logig (New York: Longmans, rooey. 


33 John Burnet, Greek Philosophy (London: Macmillan 
& Co., Ltd., 1914), Part I, p. 212. 


43 
80 with less and less emphasis on drama and on Socrates’ 
interlocutory role. On this basis Burnet too concludes 
that the Timaeus is the work of Plato's old age, but 


reserves decision as to whether the Philebus precedes it or 


not. 

It 18 frequently recognized that Burnet, A.E. Taylor 
and Cornford collectively form something of a school, and 
so it is appropriate to take Cornford's remarks on the 
order of the dialogues into account. This is especially 


true since his translation of the Timaeus is the most 


recent and constitutes a valuable synthesis of scholarly 
efforts to understand this dialogue. 

In his Plato's Cosmology Cornford discusses the 
dating of the Timaeug but makes only peripheral reference 
to the stylistic criteria.-* He cites Wilamowitz 35 to the 
effect that Timaeus speaks with an authoritative tone, and 
makes little use of the gently poetic questionings of 
Socrates. Cornford also cites Ritter to the effect that 
the fourth person of the Timaeys is left unknown, perhaps 
because Plato wanted to keep open the possibility of writ- 
ing a fourth dialogue in the series. © 


34 Gornford, op, cit. 


35 Wilamowitz, Platon, I, p. 591, in Jaeger, 
Op. cit., pe sO. 


36 Constantin Ritter, Neve Untersuchungen uber 
Platon (Munich: 1910), p. 181. 


44 
But Cornford, like Burnet and unlike A.E. taylor, makes 
little mention of the whole matter of stylistic dating. 
He assumes the results of the stylists but prefers to place 


the Timaeus and Critias just before the Laws for reasons of 


doctrine rather than for reasons of style. 

Ritter says that he learned most "from the English," 
meaning Burnet, Taylor, and Cornford, and that his own 
researches brought him into “remarkably close agreement... 
with respect to their chronological determinations."-/ 
Briefly, his conclusions are theses there are six major 
groupings of dialogues, and the last group, composed of 
the Sophist, Statesman, Timaeus, Critias, Philebus, and 


Laws, must be late because a "careful study of the differ- 
ences in language and expression" creates an “indubitable 
means of determining their genuineness as well as the 
approximate date of their appearance." >° In addition, he 
says that there are changes in style and writing which 
are less precise but no less observable by the trained 
observer, and that perhaps the strongest of these 
considerations is the transition from the “poetic” style 
in the early works to the "didactic" style of the later 


works.-? It 18 interesting to observe that when Zeller 


3T Ritter, The Essence of Plato's Philosophy, p. 9. 
38 tpia., pe 27. 
39 tpid., pp. 29, 30. 


45 
challenged Ritter to try the stylistic methods on a 7 
modern writer's works, whose chronology could be independant- 
ty verified, Ritter was able to arrive at the correct 
chronology of the works of Goethe, 40 

Perhaps a summary of the stylistic controversy is 

in order at this point. “1 Briefly, it began with the 
efforts of Schleiermacher to reveal what he felt was the 
pedagogical gradualiem of Plato's dialogues. But Hermann 
felt that the gradual development in the dialogues revealed 
not Plato's pedagogical process so much as the gradual 
growth of Plato's own insight. Campbell started with the 
assertion that the Laws was the last work of Plato and 
noted stylistic similarities between the Laws and a whole 
group of dialogues, which included the Sophist, Statesman, 
Philebus, Timaeus, and Critias. Ritter modified the 


stylistic criteria and made them more precise, and arrived 
at astonishingly similar conclusions. In turn, Wilamowitz 
and Lutoslawski carried the work further (and perhaps to 
excess) by accomplishing stylometric word-counts and 
establishing frequency tables for the number of particles, 
clausulae, and hiatus. They too reached similar conclusions. 


It emerged that the comparison of styles of writing employed 


4 Ross has summerized these results in tabular 
form. See appendix A. 


by Plato in the dialogues could be used by several 
relatively independant scholars to reach agreement on the 
chronology of the dialogues, and, on this basis, it was 


agreed that the Timaeus was a work of Plato's old age, 


since the Timaeug and the Crjtias resembled the Laws, | 


more than any other work of Plato, in its style and 
composition. The researches of Burnet, Taylor, and Cornford 
assume these stylistic results and take them up into a 

more comprehensive view of the dialogues. This however 


does not alter their opinions that the Timaeus is the work 


of Plato's old age. Taylor and Burnet are uncertain whether 


the stylistic methods can place the Timaeus after the 


Philebus and conclude that if this is to be done it must 


be done on other grounds. More recent researchers have 
little or nothing to add to the stylistic probability that 


the Timaeus is the work of Plato's old age. 


The criteria used by these authors are said to be 
non-interpretative, insofar as they refer to the use of 
grammar, style, language devices such as expletives, hiatus, 
clausulae, etc. But other criteria, such as the death of 
Dionysius II, the decreasing importance of the role of 
Socrates in the various dialogues, do, to a certain extent, 
demand a degree of insight and interpretation of the style 
of the dialogues, and are used both as starting points for 
stylistic analyses and as parts of such analyses. They 


cannot be said to be purely mechanical, nor are they wholly 


47 
objective, but their use by what Ritter calls "trained 
observers" has led to a remarkably wide and detailed 
agreement on the part of scholars to the effect that the 
Timaeug is the work of Plato's old age. 

Before we pass on to an examination of those details 
of Plato's biography which help to establish the sequence 
of the late dialogues, there is another point which 
deserves attention, and it is the matter of those dialogues 
which Zeller and Ritter call the "transitional dialogues, " 


namely the Parmenides and the Theatetus. It is necessary 


to note that a number of those scholars who have constructed 
chronologies of the dialogues have reached agreement that 
these two dialogues must be placed after the works of 
Plato's middle period, which include the Republic, and 
before the last period, which begins with the Sophist. In 
the next chapter, the doctrinal significance of this 
placement will become evident. It is necessary here only 

to document the assertion that reputable scholars have 


agreed to place the Parmenides and Theatetus immediately 


before the dialogues of the late period. 
III Biographical Criteria 
Up to this point, we have seen that there is a long 


and honorable tradition which regards the Timaeus as the 


work of Plato's old age, and that atylistic criteria, used 
by a small but highly reputable number of Platonic scholars, 
has brought about a condition of wide and detailed agree- 


|ment that the Timaeus is Plato's work and that he wrote it 


i 


in his last few years 

To these sources, let us now add a review of those 
details of Plato's life which may be useful in determining 
the order of the dialogues. Again, so far as possible, the 
argument here will attempt to avoid any interpretations of 
Plato's thought, in keeping with the attempt to divide the 
evidence in favor of the nypotheale into two inseparable 
but logically discrete aspects. 

Unfortunately, the biographical information which 
we posess about Plato is painfully scant, since most of 
what we know about Plato's life has to be derived from the 
dialogues and the letters. The date of Plato's birth is 
usually said to be 427, although A.E, Taylor gives 428. 
Similarly, the date of Plato's death is usually given as 
347 but A.E. Taylor gives 348. All agree that these dates 
are approximate. The concensus seems to be that Plato was 
approximately eighty or eighty-one when he died. 

Plato was descended from an aristocratic family. 
His mother's first husband was Ariston who traced himself 
to Poseidon; her second husband was Pyrilampes, who 
related himself to Pericles. Plato's mother, Perictione, 
was of the family of Solon. 42 

' Plato had two brothers, Adeimantus and Glaucon, and 


a sister, Potone, whose son, Speusippus was therefore 


42 alk. Taylor, “Plato,” Encyclopaedia Britannica, 
pp. 48-64. 


49 

Plato's nephew as well as successor as head of the 
Academy. Plato was the youngest child in the family. *? 
According to Cicero, Plato's introduction to Archytas (the 
Strategus of Tarentum) was extremely fortunate since 
Archytas later rescued Plato from slavery, into which he 
had been sold by Dionysius 11.44 the incident of Plato's 
slavery was also recorded by Philodemus in his Index 
Academicorum. “5 However, without the Seventh Letter it is 
not possible to set a precise date for this event. Cicero 
only tells us that Plato was in Sicily and that he was 
ransomed by Archytas from the slavery into which he had 
been sola. *© 

After citing the well known details of Plato's birth 
and aristocratic lineage, Ritter reminds us that Plato was 
born during the Peloponesian war and that soon thereafter 
Pericles succumbed to the plague. Plato was six when peace 
was concluded with Sparta in 421 and he was fourteen, an 


Aimpressionable age, when the Athenian fleet was destroyed 


43 Field, op. cit., p. 4. 
a According to Field, Plato's benefactor was 


Archytas (Field, op. cit., p. 16), but according to 
Gomperz it was Anniceris (Gomperz, op. cit., p. 261). 


45 Field, op. cit., p. 18. 
46 Gomperz, op, cit., p. 261. 


50 

off Sicily. 47 

In 405, when he was approximately twenty, Plato met 
Socrates, and Ritter tells us that even his exceptional 
education in the arts of drama and poetry were not enough 
to prevent Plato from committing his poetic works to the 
flames, since they were not up to the new philosophical 
standards Socrates had impressed on nim, 48 

When "The Thirty" came to rule, Plato was asked to 
join with them, but he could not bring himself to take 
part in a regime which he felt to be responsible for the 
injustice of Socrates' death, so he went instead to Megara 
for a few years. 49 

Plato also travelled to Egypt, Crete, Cyrene, and 
Italy and Sicily. The Sicilian travels were "of great 
significance” for Plato's philosophy. In addition to 
Archytas of Tarentum he met other Pythagoreans in Syracuse. 
It was during these travels that he also met Dion and 
Dionysius I. Plato was at this time fourty years old; Dion 
was twenty and Dionysius forty-three, 99 

Many years later, after the unfortunate and miscon- 
ceived rivalry between Dion and Dionysius II, Plato was 


sold into slavery at the island of Aegina but was soon 


47 Ritter, The Essence of Plato's Philosophy, pp. 21, 
22. 


48 tpaa., p. 22. 
49 Ipta., p. 23. © Abia. 


51 
ransomed, His benefactor refused reimbursement, so Plato 
took the sum and applied it to the purchase of a plot of 
ground in the gardens of Akademos, where the founding and 
administration of his school occupied his attention for the 
next twenty years.>! 

In 367, Dionysius I dies and Dionysius II is advised 
by Dion to send for Plato. A rivalry takes place between 
Dion and Dionysius. Plato is allowed to return to Athens 
for the duration of the war in which Syracuse is engaged, 
on the promise that he will return as soon as it is over. 
Plato leaves and Dion is banished. °2 

Five years later, Plato returns. He tries, with less 
success than before, to have Dion reinstated. He returns 
again to Athens in 360. Three years later, Dion assembles 
an army and marches on Syracuse. He meets with some success 
but is later assassinated. According to Ritter, 52 Plato 
mourns with deeper grief than he had for Socrates, 
although Ritter does not reveal the source of his informa- 
tion. 

In 347, Plato dies. Ritter says: "To the end of his 


life he was mentally alert and active and enjoyed the honour 


51 Ip4d., p. 24. 
52 Ibid., p. 25. 
53 Ipid., pe 26. 


52 
and respect conferred upon him by his circle of disciples." 
By accepting the authenticity of the Seventh Letter, 
Ritter is able to conclude that the Parmenides and the 


Theatetus were written before Plato’s Sicilian adventures 
and that the late dialogues were written thereafter. >> 
Thus Ritter is of the opinion that the Parmenides and 


Theatetus immediately precede the late group and should be 


read before them, since, in this order, the changes in style 
and doctrine between the Parmenides and the Jheatetus and 
the late group became more clearly recognizeable. In short, 
the influence of Plato's Sicilian experiences can be 

better discerned in the late group, and this influence is 
not detectable in the Parmenjdes and Theatetus. 

One final biographical point deserves attention 
before we pass on to a discussion of the relevance of 
Plato's letters to the matter of establishing the chronology 
of the dialogues, and it is the problem of determining the 
relative influence of Socrates on Plato's life. 

While this problem seems at first sight to belong 
to a discussion of Plato's biography, actually it does not. 
While it is true to say that we have as little information 


about the details of Socrates’ life as we have of Plato's, 


o4 Ibid., pe 27. 


55 Ritter cit., pp. 329 ff.; Untersuchungen 
uber Platon (Stutheeres 1888 » pp. 88 ff, 


() 


53 
the fact is that we can only determine the influence of | 
Socrates by examining Plato's thought. It is frequently 
asserted that Plato wrote in the dialogue form because he 
held Socrates’ method of communication in such high esteem, 
and this is probably true. But there seems to be no 
information which could help us to determine whether the 
order of the dialogues was influenced by Socrates. It 
seems better to postpone this question until the next 
chapter, where we take up the doctrines of the dialogues, 
and the influence of Socrates’ thought on Plato's doctrine. 

It might be noted in anticipation that Plato does 


give several hints, through the Parmenides, Theatetus, and 


in the whole group of late dialogues, of the extent to 
which the doctrines of these dialogues are “beyond" 
Socrates, that is, ask the sort of questions which Socrates 
probably would not have asked. 

Let us pass, then, to a discussion of Plato's 
Seventh Letter, which reveals in some detail how Plato's 
Sicilian experiences influenced him. Such information will 
be useful in understanding some of the passages in the late 
dialogues. 
IV. The Letters 

J. Harward °° has made a very useful compendium 


which contains an impressive amount of material on the 


NE PIN SE IE TE ESI IT IT I I SE TS TC EIT OT DFAT I LEED TENE EEE 


50 J, Harward, The Platonic Epistles (Cambridge: 
The University Press, 1932). 


L a 


54 
Letters. He cites a number of ancients who regarded the i 
whole collection of Plato's letters as authentic, including 
Diogenes Laertius, Plutarch, Lucian, Cicero, and Aristo- 
phanes the grammarian of Alexandria.o? Although Jowett 58 
followed Karsten 99 into the opinion that the entire lot 
was spurious, Harward says that the increasingly wide use 
of stylistic criteria soon dissipated the influence of their 
opinions. The stylists were thus able to overcome the views 
of Jowett and Karsten 60 which were that the letters were 
written in too lowly a style for them to be regarded as 
Plato's own, that the philosophical doctrine of the letters 
differs too widely from Plato's theory or Ideas, and that 
there are no sources from which we may conclude that Plato 
was actually ever in Sicily.©! Wilamowitz was particularly 
strong in asserting the letters to be genuine, and his 
criteria were largely stylistic, that is, he was able to 
conclude that the satyle of the letters was not too lowly 
tor Plato, but was in fact written with many or the idioms 


and phrases which Plato favored in his late years. 


57 Harward, op, cit., p. 60. 


58 B. Jowett, e Dialogues of Plato (3rd ed.; New 
York: Scribner, Armstrong, Oe, 1 » preface. 


59 H.T. Karaten, De Epistolis quae feruntur 
Platonicis (Utrecht: 1864), in Harvard, Op, cit., Pp. 61. 

60 Harward, op. cit., pp. 71, 72. 

61 Field, op, git., p. 16. 


55 
Thus, there are few scholars today who would reject 
all the letters, although some scholars reject some of then, 
as we shall see. But in the main, the wave of scepticism 
has subsided. Thus, Harward is able to compile a list of 
scholars and tabulate which scholars accept which of the 
letters. 


The Seventh Letter in particular, has been accepted by 


Taylor, Burnet, Ritter, Hackforth, Wilamowitz, Souilhe, 
Bury, and Field.©2 These scholars were able to agree 
largely because of the stylistic criteria as applied to 
the letters. Harward discusses these criteria in some 
detail. He divides them into four groups, which include 
the following: 
1. choice of words, including neologisms and 
expressions Known to be current in certain 
years by reference to other authors. 
2. word order, including inversions of normal 
word order, hiatus, elision, the use of clausulae 
3. sentence structure, including extra paranthetic 
clauses, hanging nominatives, a string of terse, 
clipped unmodified verbs, following intuitional 
rather than strictly logical order. 
4. circuitous mannerisms and tautologous phrases 63 
One notices that the foregoing criteria are neither 
atrictly stylistic nor strictly stylometric. In order to 
make use of them i1t would be necessary to be a "trained 
observer" as Ritter says, and, in addition to noticing the 


presence of these devices of style, one could, if so 


62 Harward, ope cit., p. 76. 
63 Ibid., pp. 86-96. 


56 
inclined, make tables and count the frequency with which 
these mannerisms occurred. But the deeper point is that 
the most reputable Platonic scholars were able to agree 
on the basis of these criteria that the Seventh Letter was 
both genuine and late. Harward says "...the stylistic 


features in common (between the Seventh Letter and the 


Laws) are so striking that they stare the reader in the 


face, "64 Ritter makes a similar comment when he says, "On 


any unprejudiced reader it (the Seventh Letter) cannot 


fail to produce the impression of the natural outspokenness 
of a narrative of personal experience. "65 Cicero himself 
says, “praeclara epistula Platonis ad Dionis propinquos..."66 
To these, Harward adds his own views since Plato regarded 
Kallipos as a "fiend incarnate," and since it was Kallipos 
who had Dion murdered, and since Kallipos wrote to Plato 

of the death of Dion in 354, and since the death of Dion 

4s recorded in the letter, but the letter does not record 
the death of Kallipos, which occurred a year later, it is 
probable that the letter was written between 354 and 353,67 
From all of these probabilities, Harward concludes that the 


64 Ipia., p. 86. 


65 Ritter, Neue Untersuchungen uber Platon, p. 408. 
66 Tusc, Disp. V, 35, in Harward, op. cit., p. 189. 
67 Harward, op, cit., p. 192. 


57 
letter was composed after the Sicilian journeys and before : 
the Laws. This places the letters in a setting which is 
either immediately before or contemporaneous with the 


Timaeus. As we shall see after a discussion of the Seventh 


Letter in detail, it is probable that it precedes the 
Timaeus. 


Having shown on the basis of reputable scholarship 


the authenticity of the Seventh Letter and its late 


composition, I would like now to summarize its contents, 
in order to point out certain experiences Plato had 
relevant to the doctrine of the Timaeus. 

Plato begins by telling that his motive for visiting 
Sicily as the desire to see the people there freed by the 
best laws for the situation, and, in addition, he will 
recount in the letter the process in which he reached the 
formation of his opinions on the matter (324b). 

He describes his youthful aspiration for a political 
career and recounts that some of his relatives, (Critias 
and Charmides) were members of the Thirty, and that they 
had asked him to rule with them (324 b,c). But he declines 
because he sees that their rule, like most revolutionary 
regimes new in power, suffered excesses. These were 
particularly visible in these attempt to send Socrates on 
a dishonorable mission (324 6). It was finally certain, 
when Socrates was sentenced to death at the hands of this 
regime (325 c). Plato notes sadly that the older he gets 
the more he realizes the extreme difficulty of handling 


58 
public matters (325 a). He noticed that not only the 
written but the unwritten laws were extremely inflexible 
and therefore hard to mold. As a matter of fact, those in 
Athens struck him as incurable, and for the time, nothing 
could be done (326 a). | 

We then read a small recapitulation of the Republic 
doctrine of the philosopher-king. Plato tells his readers 
that the situation in Sicily, like the one in Athens, is 
so difficult that there will be no peace for the sons of 
men until either philosophers are kings or those in power 
lay hold to some philosophical illumination (326 b). It 
was with these expectations that Plato first arrived in 
Sicily. He is repelled by the life of vice and court 
debauchery which he finds there, and says that here as 
elsewhere such immorality will inevitably lead to a 
succession of tyranny, oligarchy, and democracy (326 d). 

However, while there, he instructs the young Dion 
who is extraordinarily adept at this sort of learning, and 
Dion resolves to “live for the future” which of course 
makes him terribly unpopular at the court (327 b,c) 
However it is his hope that Dionysius will learn too, and 
in this way peace and happiness will be introduced (327 d). 
This fitea in with Plato's desires not to be "only a man 
of words" (328 aec) and, in addition, helps Plato to 
prove to himself that he does no dishonor to philosophy by 
inaction (329 a). However, Dionysius does not devote him- 


self to philosophy. Moreover, Dion is perceived as a 


59 
threat and is expelled from the court. Plato becomes a 
prisoner of the court (329 ced). Dionysius flatters Plato, 
but Plato is aware that it is his status and not his 
philosophy which Dionysius desires (330 a). 

Plato reflects on these experiences for his readers, 
and tells them an allegory to the effect that the physician 
is to his patient as the philosopher is to the state, and 
that, just as the physician prescribes diet, so the 
philosopher prescribes laws and constitutions which will 
eventuate in a good state (330 d-33!1 e). This too is 
reminiscent of the Republic. Again we are told that the 
good governor is he who frames good laws (332 b). To do 
80, @ man must have loyal friends, and there is no surer 
test of vice than a man without friends (332 c). Such a 
man is Dionysius, whose early years were hungry for want 
of education and proper training. Thus he was raised 
discordantly, and, beyond the fact that he is wrecking 
Sicily, the greatest poverty arises from his lack of 
harmony with himself (332 a). Nevertheless, a way must be 
found to free Sicily by the introduction of just laws (334c). 
A way might be found if only Dionysius can be brought to 
harmony with himself. If it is not possible to introduce 
order through Dionysius, then other means must be sought, 
for the source of light is the soul at harmony within the 
man (335 aed). Plato's hope is high and his desire is 
strong, but the worst crime is comitted: Dionysius 


refuses (335 e). 


60 
- Thus the second venture ends worse than the first, 
due to a "fiendish" ignorance of matters of the soul and 
of philosophy on the part of Dionysius (336 bec). 

We are reminded of the early lesson of the letter, 
i.e., that a period of temperance after a revolution is 
as rare as it is necessary. Perhaps it follows that this 
is the time when just laws should be enacted but it is 
unfortunately true that this is also the time when such 
an enactment is least possible. Perhaps this task will 
remain for the future (356 e). 

How should such laws come to be? Plato answers his 
own question by saying that only the best men can make 
the best laws, and actually goes into the proportion of 
men to the population (337 c). 

The motive for Plato's third trip to Sicily is 
given. We are informed that Dionysius is eager to have 
Plato return, and that he has made progress in his study 
of philosophy. Archytas and his Tarentine circle of 
Pythagoreans implore Plato by letter, and one, Archydemos, 
even accompanies the trireme which is sent to supply 
Plato's passage. In order not to betray Dion and his other 
Tarentine friends, Plato allows himself to be convinced( 339 
a-e). 

There follows what one writer (Ritter) calls a 
philosophical digression into the nature of the process 
wherein philosophy is "imparted" so that the student will 


_gsee a “marvellous road" open before him (340 b,c). Here 


61 
we have a recapitulation of some of the thoughts Plato 


had set down in the Phaedo and in the Republic, where he 


described how the soul, reflecting on herself, sees a 
whole new realm (340 d). 

"There neither is nor ever will be a treatise of 
mine on the subject" says Plato, in what seems at first 
to be a deep paradox. What can a philosopher mean whose 
Magnificent dramatic dialogues are revered as perhaps 
the highest insights ever written? Is it all a game? The 
key to this, is to be found in the Seventh Letter, which 


explains to the friends of Dion that Plato never fell from 
honor and was not among the murderers of Dion nor among 
the followers or participants in the horrible rule of 
Dionysius who had him killed. Plato is not addressing a 
learned academy nor an audience of philosophers but a 
group of friends and former associates of Dion who cannot 
understand how the great Plato and his philosophy could 
not save Dion from an unjust fate. 

To the claim of Dionysius that he was learning 
philosophy from the one lesson Plato had given him and 
that he was in fact producing learned treatises of origin- 
ality and brilliance, Plato responds not only that his 
philosophy can't be taught in a few lessons, but that its 
deepest meanings cannot be taught at all, but must be 
experienced as a fire which is enkindled in the soul 
after an arduous preliminary regimen in the company of 


\. 


62 

teachers who have been so inflamed (341 d,e). - 

If philosophy cannot be taught as a series of learn- 
able propositions, how can one expect to learn it in 
writings and disquisitions? To bolster this argument and to 
derive it from higher knowledge, Plato launches into a 
short essay on the steps and stages on the way to philo-~ 
sophical insight. There are, he says, three preliminary 
steps and two later stages through which philosophical 
knowledge is imparted (342 a), o8 

the "instruments" of this process are names, defin- 
itions, and images (eidola). Names are notoriously flighty 
and subject to the winds of change and fashion. Definitions 
are frequently contradictory and refer to aspects which 
shift. Images may be drawn and fashioned at will but what 
images attempt to convey is not necessarily subject to 
these inconsistancies (342 b,c). More proximate but still 
very distant is knowledge of the thing and closest is the 
thing itself as it is. If somehow one does not go through 
the first three, (names, definitions, and images) one 
cannot even aspire to the fourth, (knowledge of the thing) 
much less the fifth. It is much the same with the Good, 
the Beautiful, the Just, Bodies, even Characters of the 


65 not learned. Plato is talking about the 
communication of philosophy, not the stating of it, nor 
the acquisition of it, but the process in which, so to 
speak, philosophy happens. 


63 
‘soul, and with all that is done or suffered (342 e). : 

Plato distrusts the fixity and unchangeable character 
of language as he hesitates to put down in words which 
seem firm and clear what cannot be grasped so easily (343 a). 
Words, definitions, and images contain much that is 
opposite to the things themselves (343 b). Philosophy is so 
hard that men satisfy themselves with images. ©9 Most men 
cannot study philosophy, and even those who do, find it 
hard if not impossible to speak of. Perhaps, after the 
preliminaries of words, definitions, and images, a birth 
will take place but unless the preparatory steps are 
taken, naught will avail the ambitious, such as Dionysius. 
In addition, if there is no "natural inclination," even 
these steps will lead nowhere (344 a). 

What is needed is a “sudden flash" which will arrive 
only occasionally and then only after long preperation (344b). 
Therefore, Plato warns his audience, do not expect to plumb 
the deepest meanings of philosophy too rapidly. And, even 
if a treatise on Laws, written by a great writer, should 
cross your attention, do not think that you see there the 
most precious thought of their writer; you do not. These, 
he implies, are images drawn for your information, but 
they are not philosophy, in its deepest sense (344 c). 

Moreover, Plato tells his readers that his reverence 


for the truth is such that he will not entrust it to 


69 See the Cave Allegory of the Republic 507. F 


64 
vehicles. That which is inexpressibly beautiful should not 
be dragged down in homely expression. The inner harmony of 
philosophy will not mix with the discordant decadence of 
Dionysian politics. On the other hand, once truths of this 
sort have been experienced, there is no need to write them 
down because there is no danger of forgetting them. Once 
posessed, they live on (344d). So ends the "philosophical 
digression." 

Plato returns to his history of the events of his 
third stay in Sicily. He is implored to stay on by 
Dionysius’ promise to restore Dion's property and income. 
Plato is asked to remain for a while to consider the plan, 
but while he does so, the last trade ships leave and the 
season for travel comes to an end. (He has been tricked) 
(346). After the ships are gone, Dionysius sells Dion's 
property (347). Plato is told that Herakleides will not be 
harmed, even though he led a guard's revolt for higher pay, 
but again Dionysius goes back on his promise. Plato is 
ousted from the palace gardens on the pretext that they are 
needed for a festival (349). 

Plato begins to realize that his friendship for Dion 
4s disadvantageous, that he no longer shares the tyrant's 
confidence, that he is no longer useful, either to himself 
or to the tyrant, and that his friends at the court are 
gradually being arrested. 

He sends for help to Archytas (350). A trireme of 


_thirty oars is sent, with Lamiskos, a Pythagorean, in 


65 
command. Plato is taken to Dion, who immediately plots 
revenge against Dionysius II. This time, Plato pleads not 
to be included, because of his advanced age, and because 
Dion is plotting to injure someone, and Plato will not be 
a party to violence (350 c). 

Plato gives out another allegory. Like the brave 
captain of a good vessel who underestimates the brutal 
ferocity of a storm, it became Dion's fate to die at the 
hands of Dionysius' forces, but it was a death with honor. 

Plato ends the letter by saying that he felt it was 
necessary to explain the paradoxical turn of events in 
Sicily, and he hopes he has done so (352). 

Since reputable scholars have agreed that the 
Seventh Letter is Plato's own, and since, in all probability 
it was written between 354 and 353, we must place it in the 
late period. We should expect the extraordinary experiences 
of Plato's Sicilian travels to have a marked influence on 
the doctrine of those dialogues written after the travels 


which the Seventh Letter record. 


However, in order to show what influences these 


experiences had on the doctrine of the Timaeus, it is 


first necessary to pass in review the doctrines of the 

dialogues between the Republic and the Timaeus. This task 
is the burden of the following chapter. It is possible at 
this point only to anticipate how the Seventh Letter leads 


us to expect that the Timaeus will reveal the influence of 


_Plato's Sicilian experiences. 


66 
Thus, there is confirmatory evidence to be derived 


from the Seventh Letter for the view that the Timaeus is a 


late dialogue. This is indicated in the statement (at 344c) 
that even if a great writer were to write a treatise on 
laws and if such a treatise were to come to the attention 
of the Sicilians, it should not be regarded as philosophy 
but as a set of images. The fact that this statement is 
put in the hypothetical future seems to indicate that the 
Laws have not yet been written (at least, not completed). 
If the Laws is Plato's last effort, and if the Timaeus 


is as closely related to the Laws as the stylistic criteria 


indicate, this statement would seem to indicate that the 


letter itself was written before both the Timaeus and the 


Laws. We have already cited evidence for this view. 

It 18 the business of the next chapter to spell out 
the doctrinal criteria on which this same conclusion can 
be reached. There, the relevence of the doctrinal points 
of the Seventh Letter will be introduced. 

Perhaps it is not inexcusable to ask the reader to 
recall at this point that the division of the initial 
hypothesis into two methodological procedures, has, at 
this point, only dealt with one half of the argument, and 
that both halves are necessary to establish the hypothesis. 
Thus, one concludes from this chapter that the external 
sources, individually and collectively, point to the 
Timaeus as a late work. It now needs to be demonstrated 
ithat the doctrine of the Timaeus is a late doctrine. 


67 
Thereafter, it will be shown that in the doctrine of the 


Timaeus we find not only a later doctrine than its 


predecessors, but a more developed doctrine, consisting of 
@ culmination and synthesia of the themes of eternity, 
image, and time. 


V__Conclusion 


I conclude this chapter with the conviction that the 
Timaeus is a late dialogue, probably written after Plato's 
Sicilian adventures. It is difficult to fix a precise date 
for its composition. It is certainly after the first two 
Sicilian adventures and certainly before 347, the year of 
Plato's death. /° stylistic criteria place it in the same 
age grouping as the Laws. This makes it probable that the 
Laws and the Timaeus occupied Plato's attention alternately 


during the same set of years. This means that the Timaeus 
trilogy and the Laws were both written in the last years 
of Plato's life. I think it is probable that the Timaeus 


was written after the third Sicilian adventure, after 
Plato's indebtedness to the Tarentine Pythagoreans had 
increased a great deal. I feel no need to separate the 
Laws, the Seventh Letter, and the Timaeug more precisely 
because I think that work on all three of them could have 
proceded together, yet I feel it is probable that the 


Seventh Letter precedes the completion of the Laws and 


70 4.e., it 48 in all probability not a posthumous 
edition. 


Ln 


68 


the Timaeus. Cornford's hypothesis that Plato stopped in 


the middle of the Critias in order to complete the Laws is 


especially attractive. 


69 


CHAPTER III 
THE DOCTRINE OF THE DIALOGUES 


Introduction 


In the foregoing chapter, the chronology of the 
dialogues according to reputable scholars was presented. 


The conclusion that the Iimaeus is a late dialogue was 


reached by these scholars by utilizing several criteria, 
including stylistic interpretations, biographical informa- 
tion, agreement among some of the ancients, and certain 


relevant information which Plato set down in his Seventh 


Letter. It 1s now the task before us to confirm this 


cgnelusion by appeal to doctrinal development in the 
dialogues which precede the Timaeus. This will be done by 
showing that there are significant themes in the dialogues 
which precede the Timaeus, which are gradually modified 


and expanded until they are treated in a new way in the 
Timaeus. 

It is obviously impossible in these few pages to 
present a detailed summary of all of the philosophical 
doctrines which Plato treated in each of the dialogues to 
be discussed. Therefore, only those themes which specific- 
ally culminate in the Timaeus will be passed in review. 

It 1s assumed that no significant distortion of Plato's 
philosophy will be made by selecting three themes which 


Plato discusses together in the Timaeus, and that no 


70 
distortion will be introduced by tracing these themes as 
Plato develops them in the dialogues which intervene 


between a logical starting point and the Timaeus. 


The first problen, then, is to determine a logical 


point to begin our investigations. The Timaeus itself gives 


us the starting point because it begins with a recapitula- 
tion of certain themes in the Republic. This seems to be a 
clear indication that the investigation of Plato's later 
philosophy must include some sort of comparison with the 
Republic and the doctrines of the so-called middle period. 
In the discussion which follows, it will be assumed that 
the doctrines of the Republic may fairly be taken as 
representative of the doctrines of the entire middle 
period, and that reference to the other dialogues of the 
middle period will be made only when it seems clearly 
necessary. Thus little mention will be found of the Phaedo, 


Phaedrus, and Symposium, and our inquiry will focus mainly 


on the Republic. 
The Parmenides and the Theatetus constitute a special 


group of dialogues, as Ritter has observed. In these 
dialogues a special critique of the doctrines of the middle 
period is undertaken by Plato himself. Thus, if one plans 
to trace the development of certain doctrinal themes by 
starting with the Republic and continuing through the late 
dialogues, one ought to interpose between the Republic 


and the "late" dislogues, the Parmenides and the Theatetus, 


71 
and their respective doctrines, insofar as they discuss 
the themes in question. 

In the subsequent discussion of the doctrines of 
the late dialogues, it will be shown that the critique of 
the middle doctrines by the Parmenides and Theatetus had 


brought Plato to the recognition of a need for new doctrin- 
al formulations. Thus, it will not only clarify the doctrine 
of the Republic but it will shed light on the Sophist, 
Statesman, and Philebus if we examine carefully the criti- 
que made by the Parmenides and Theatetus. In this way, one 
May examine the sequence of doctrinal modifications which 
Plato made as he matured, and one may discuss both the 
doctrines and the doctrinal advances as one treats each 
succeeding dialogue. 


Certain confirmations of the view that the Timaeus 


reformulates old doctrines in a new way will be sought 


in relevant passages from the Critias and the Laws, but 


these are only taken as lateral confirmations, and not as 


indices, of the extent to which the Timaeus contains 


significantly new doctrinal formulations. They form, as 
it were, testable corollaries of the main hypothesis. 

The three themes which I have selected to focus upon 
are the themes of eternity, image, and time. It should be 
noted that the words eternity, image, and time are not 
technical terms for Plato, and that their meaning will be 
found to change as the sequence of dialogues approaches the 


Le 


72 


Timaeus. For this reason, I prefer to call them themes and ; 


not terms or ideas or doctrines. 

I have also made a methodological choice. It would 
be possible to select the passages from each of the dialog- 
ues which discuss eternity, image, and time, and by placing 
them together, one could discuss each theme separately. But 
there is another way, which seems more faithful to Plato's 
own method, and that 18 to pass each dialogue in review, 
and, in passing, point out those passages which are rele- 
vant to the themes of eternity, image and time. This latter 
method has been adopted. 

In the chapters which follow the present one, a more 
or less interlinear commentary will be offered on those 


passages of the Timaeus which are relevant to the three 


themes I have selected for study. In this way, the gradual 
advance of Plato's thought is given what I feel is an 
appropriately developmental context. 

I maintain, then, that in the middle period, i.e., in 
the Republic, Plato formulated a doctrinal position with 
respect to the relations of eternity, image, and time, 


that he began a critique of this position in the Parmenides 


and Theatetus, and that he began a new formulation in the 
Sophist, Statesman, and Philebus, which reached a new 
height in the Timaeus. The reader is asked to judge for 
himself in what follows whether this claim is credible. 


73 


The Republic 
In the Republic, Plato retains the doctrine of the 


Forms, and seeks particularly to find the Form of Justice, 
its nature and origin (357 d). However, this is a hard 
task which can only be performed by those whose eyesight 
(for the Forms) is particularly good (368 d). For this 
reason, it is decided that perhaps the method of inquiry 
had better be adapted to those whose sight is not so 
perfect, so that, instead of attempting to gaze directly 
on the Form of Justice, it will be better to adopt a 
"shortsighted" method, namely, seeing Justice where it is 
writ large, in the state (369 a). This will bring about an 
unfortunate mutilation of pure vision, but it is inescap- 
able. Moreover, it is a better method than the one adopted 
by such “story tellers" as Hesiod and Homer who rather tell 
lies than avoid distortion (377 e). These authors do not 
realize that "children" do not know the difference between 
allegory and fact. It were better that the truth be not 
told at all than told badly, yet the problem of representing 
truth in images is not a small one. The primary requirement 
is that truths must be represented, if at all, ina true 
way, worthy of their contents (379 b). "Because we do not 
know the truth of ancient traditions, we make falsehoods 
as much like the truth as we can, and there is no use in 
this."(382 4d) 

Here in the opening passages of Book II, Plato tells 


us that one encounters difficulty in attempting to reveal 


74 
those truths which have been seen by one's excellent eye- 
sight, to those with less than perfect vision. Images of 
truth are, for such men, dangerous, and should be avoided. 

Nevertheless, Plato does not stop the process of 
inquiry. Reluctantly, he will try to see the truth of the 
Form of Justice as it is writ large in the state. This 
tells us that the whole Republic is, in its own way, an 
allegory, designed not so much to spell out the legal 
machinations of a polis as to take a shortsighted view of 
the Form of Justice. We know this interest in Justice to be 
a lifelong concern of Plato. It is cited here to document 
the fact that even in the middle dialogues, Plato is not 
unaware of the danger of misrepresenting the gods, and 
that at this point in his development he uses a short-e 
sighted method. He makes the decision to undertake a vision 
of Justice in the state despite his awareness that his 
description of the state will only imperfectly incarnate 
Justice in an image, which in this case, is an allegory (%9 
a). The problem is that allegories only imperfectly imi- 
tate the Form of Justice, which Plato tells us next in the 
famous allegory of the guardians and their education. It 
is necessary for the guardians to know the Forms, or else 
their guidance shall be lacking in some perfection, yet 
they are surrounded in their youth by "images of moral 
deformity (401 b)." Physicians, like judges, must cure by 


use of mind, and "a virtuous nature, educated by time, will 


75 
acquire a knowledge of both virtue and vice (409 e)." 


Thus, it will be necessary for the guardians to be exposed 
to both perfect and imperfect images of Justice, and, if 
they are strong, and if their souls are in harmony (410 e), 
they will rule well, despite the limitations which mere 
images of Justice impose on their thought. 

This limitation of images is termed the “royal lie" 
and the “audacious fiction" (414 b). It is recognized that 
the sights of youth are like dreams, and that their 
education is an acquaintance with “appearance,” but youth 
ie in a process of formation in the womb of the earth. 
Perhaps it might not be possible to so educate the guard- 
ians in the first generation, but in the next, their sons 
will probably adopt this view (415 b). Here Plato antici- 
pates the difficulty that a new set of laws may not be 
accepted with open arms by a generation of men, but the 
need is great; new laws must be found and promulgated. Yet 
the basis for new laws, i.e., a clear sight of the Forms, 
is impossible. It is as if Plato were scandalized by the 
need to speak the truth of the Forms in a language of 
imagery and allegory, yet, the political necessity (the 
need to know the truth) cannot be denied. Eventually, the 
guardians will see through the mere images of their 
education if they are instructed in these matters "and 
others not mentioned (423 e)." For that reason, there is 


no need to legislate about particulars, since these will 


76 
flow from the character of the institutions (425 c). 

In order to legislate about the "greatest and noblest" 
institution (427 b) the one which deals with temples and 
sacrifices, Plato introduces the "method of residues" 
which we would call the method of gradual elimination. 

By presenting the given activities, which are presumed to 

be known, and by eliminating all the unacceptable ones, 
Plato arrives at a list of virtues which ought to character- 
ize the guardians (428 a). (As we shall see, this method 

of residues is by no means the same as the method of 
division in the Sophist). Then, by eliminating lesser 
virtues, Plato arrives at the conclusion that the guardians 
ought to be temperate, wise, courageous, and just (432 b). 
And by further use of the method of residues, it is 

decided that Justice 1s the ultimate basis of the perfection 
of the state (435 a). As we shall see, this conclusion will 
be expanded in the Timaeus, where Time, not Justice is 

said to be the basis of perfection. 

Justice itself is said to be "the having and doing 
what is a man's own, and belongs to him (435 b)." If a 
man does what he does, and does not attempt to do what 
others do, then Justice will have introduced harmony into 
the relations of the citizens. 

Just as the classes of the state are to be in harmony 
with each other, so the soul's virtues will be in harmony 


with each other, if education proceeds correctly. Yet 


TT 
Socrates confessed that he does not understand this notion 
of harmony too well. The technical insight into music and 
the harmony of string lengths is best left to the musician, 
as the matter of gymnastic is best left to the gymnast. 
Socrates relates the need for harmony in the soul; the 
images of this harmony in the particular instances of 
music and gymnastics are not directly his concern. 

‘This is true because it behooves a man, and a state, 
to be a unity, whereas a skill in a large number of 
particulars strains unity. ‘thus, each class in the state 
has one and only one function, just as each man in the 
state will have one and only one occupation. Thus for the 
shoemaker to fight will be unjust, just as the fighter 
should not make shoes. 

However, Socrates begins to doubt that his method of 
residues is working very well. He reminds us that we are 
seeking a knowledge of Justice and that we are trying to 
achieve it by seeing Justice writ large in the state, but 
the discussion seems to be bogging down in particulars. 
However, he hopes to "strike a spark” and in that way 
release a vision of his subject (434 e). He says: 

I must confess that the method we are employing 

seems to be altogether inadequate to the accurate 

solution of this questions for the true method is 
another and a longer one. Still, we may arrive at 

a@ solution not below the level of the previous 

Anquiry (435 a)." 

This is the same intractable necessity to reveal 


visions of a more perfect eye to those with less than 


Toes 


78 
perfect vision. However, the method of employing images 
aoes reveal a “shadow” of Justice, and therefore, it is 
useful (443 c). So, on this basis he traces out the 
division of labor in a society, showing that each man who 
fulfills his appointed task is just only insofar as he does 
not encroach upon the appointed task of another. To do what 
another ought to do is a double injustice, both to oneself 
and to the other. The solidarity of the “imaginary common- 
wealth" (456 d) rests on this Justice, and, in the same way, 
the soul of the man who tries to cross his line of respon- 
sibility will be unjust. The relation of these divided 
responsibilities is injustice. We must assume this to be 
so, for we are reminded that the allegorical investigation 
of the Form of Justice is like dreamers feasting on a 
dream, and that the state here investigated is "“imagin- 
ary (458 a)." 

Does unity, achieved by the harmony of each indivi- 
dual (soul or class) performing his one task, really work. 
"The inquiry has yet to be made whether such a community 
will be found possible...and in what way...(471 c)." 

To answer this, we must inquire what is the least 
change to be introduced into the state which would bring 
about the imaginary harmony we seek. The philosopher-~ 
king is the person who will accomplish this. Why do we 
need the philosopher-king? Because it is he who sees the 
Forms in their direct "Beauty" (476 b) and he knows the 


19 
difference between knowledge of something and knowledge of : 
nothing. When one knows, he knows something, and this is 
true knowledge. When one knows nothing, he is in "ignore 
ance" (477 b). The realm of opinion is in between, where 
what one knows both is and is not. True knowledge is of 
the immutable and the eternal, and only this is rightly 
called knowledge (478 e). this sort of knowledge and this 
sort alone should characterize the philosopher-king, and 
all those who deal in opinions about the Justice of this 
or that or the Beauty of this or that occupy some inter- 
mediary region which will not fit them for ruling, nor for 
introducing into the atate the least change which will 
make it a just state. Only knowledge of the eternal and 
immutable is knowledge. And yet, as Galileo remarked in 
another age, it moves: the dialogue which castigates mere 
images continues on its allegorical way. 

Not only is it true that Knowledge which deserves 
the name is eternal and immutable, but further, those who 
dwell in the realm of opinion are called Sophists, whose 
cant and mere talk is subject to every whim and caprice of 
opinion, changing from day to day and from speech to 
speech. Such men cannot deserve the honor of navigating 
at the helm of state, for they follow the fancies of the 
demanding crew, whom they are supposed to lead (488 a). 
Just as most do not possess the clarity of vision to see 


Justice, these men do not know how sweet philosophy is. 


LL 


80 


Few know this (496 c). For this reason, there has never 
been a state ruled by the philosopher king, and none exists 
at the present (499 a). We see how necessary it is to 
found the state on justice yet we have confronted the 
supreme difficulty of revealing justice to the inhabitors 
of the realm of opinion. It is confessed to be impossible, 
and for that reason, rather than try to show the Sophist 
the form of justice, we had better imagine a state where 
youths are educated from the start to see through the 
dreams which characterize the realm of opinion. 

If then, in the countless ages of the past or at 

the present hour in some foreign clime which is 

far away and beyond our ken, the perfect philosopher 

4s or has been or shall be hereafter compelled by a 

superior power to have charge of the state, we are 

ready to assert to the death that this our 
constitution has been, is, and yea, will be at 

any time, only when the muse of philosophy is 

queen. Neither is there any impossibility in 

this: the difficulty we do not deny (499 4). 

Here is a striking juncture, for in it, Plato tells 
us that the vision of the eternal and immutable Form of 
Justice is only to be had by philosophers, that images are 
not completely satisfactory (since the Sophists deal in 
them), but that there is no impossibility in imagining the 
philosopher-king performing his role, perhaps in the past, 
perhaps at present, or perhaps in the future. The themes 
of eternity, image, and time, are joined in one passage. 
The eternal realm of Forms is the domain of the philosopher, 
not the Sophist, who dwells in the realm of opinion and 


changing imagery. At present, we have no philosopher-king, 


81 


but, since he is not impossible, he may be sought in 
another time; perhaps past, perhaps future, or perhaps in 
the present somewhere far away. 

What will be the task of the philosopher-king. 

eoeHe will look at Justice and Beauty as they are 

in nature and again at the corresponding quality 

in mankind, and then inlay the true human image, 

moulding and selecting out of the various forms 

of life: and this He will conceive according to 

that other image, which, when existing among 

men, Homer calls the form and likeness of 

God" (501 b). 

It will be his task to see the forms and to legislate 
in such a way that men are made in him image. To do so 
requires a very high wisdom indeed, and the education of 
the guardians must therefore by truly philosophical. They 
will not be allowed to take the shortsighted path: theirs 
will be the "long way." To this astonishing exhortation, it 
is objected: is there a higher form than Justice, and the 
still more astonishing answer is: yes. This is the idea of 
the Good and the Beautiful (504 ad). 

The Good and the Beautiful are not to be represented 
on the same level as Justice. For them, nothing short of 
the most perfect representation suffices (504 e). Yet, 
even the best opinion is only like a blind man hoping to 
find his way along a straight road (506). To discuss the 
4dea of the Good is too much of a task for the present, 
but Socrates deigns to discuss the "child of the good"; 


he warns his hearers to be on guard lest he render a false 


account, although he has no intention of deceit (506 e). 


82 


What follows is an extended metaphor concerring 
sunlight, the eyes, and the things seen, in which Socrates 
explains that the sun is not sight but the source of sight, 

he whom I call the child of the Good, whom the 

Good begat in his own likeness, to be in the 

visible world in relation to sight and the 

things of sight what the Good is in the 

intellectual world in relation to mind and 

the things of the mind" (508 b). 

This is the immediate prelude to the famous allegory 
of the divided line, in which the ambivalence which Plato 
seems to show with respect to images is somewhat clarified. 
It emerges that there are two sorts of images, those which 
pertain to the visible world and those which pertain to the 
intelligible world. In the intelligible sphere, reason 
apprehends the Forms, understanding apprehends images of 
the Forms. In the same way, there are divisions in the 
visible world: the reflections of the Forms in the visible 
world, when perceived truly, are reflections and images, 
but when they are not perceived truly, are mere shadows 
and opinions (510 a). In the intelligible realm, images 
function as hypotheses, suggesting but not confirming 
the Forms and the ideas. 

Perhaps the most famous of all philosophical allegor- 
4es is the next image which Socrates presents, the allegory 
of the cave (514 a). We are told that the divided line can 
be seen more concretely in the cave allegory. Going from 
the lowest to the highest of knowledge, we first have 


shadows, then the objects which cast the shadows, themselves 


83 

only images of the Forms. Then, the understanding captures . 
images of the Forms and finally, reason sees the Form (515e). 
It is noteworthy, despite the familiarity of this allegory, 
to point out that the path of philosophical knowledge is 
laden with two difficulties: the first is the blinding 
clarity of the Forms when first seen: the second is the 
need to readapt one's eyes to the dark of the cave upon 
redescending (516 e). However, since the soul likes to 
climb, and prefers not to descend back into the cave, the 
guardians will have to point out that the whole state 
suffers if the enlightened ones do not redescend to 
enlighten in turn their former fellows (519 c). 

Here we again confront two kinds of images, or 
rather two levels of images. This is an advance beyond 
the first books of the dialogue, where all images were 
weve copies, dangerous and to be avoided. But, Plato has 
not brought the realm of the Forms any closer: rather, he 
has added a small measure of validity to the images of the 
Forms. It is no longer true that no truth whatever can be 
had in the visible wordl: now, some images are valid, 
others are not. It is still true, however, that images do 
not perfectly reveal the Forms. 

There is one further step in the treatment of images 
in the Republic which deserves emphasis. After Socrates 
describes the visible universe and the starry heaven as 


the most beautiful and perfect of all visible things (on 


84 
this basis the guardians are to be instructed in geometry 
and astronomy) he says that these sciences are not to be 
learned for their own sake, but because they contain 
instructive images of the "divine" (532). The unfortunate 
thing is that those who study the number of stars do not 
look for number itself, and even those who study numbers 
themselves do not reflect upon why some numbers are 
harmonious and some are not: they ignore the "images of 
the divine," not knowing that what they study is only 
like the truth, but is not the truth (533 c). 

The seeds of a new insight are here, but it would 
be stretching the point to say that we are now fully 
4nstructed in it. It becomes true to say that for every 
level of truth, the level just beneath it "images” it. 
For this reason, there are two kinds of image in the 
divided line: from the higher vantage point of perception, 
mere sensation is only a shadow, the lowliest kind of image. 
From the point of view of reason, understanding is only an 
image. Similarly, every perception, from the higher point 
of view of understanding, is only an image. Image is thus 
a relative term, not necessarily opprobrious, since to 
advance from a shadow to an image is an advance in the 
right direction, i1.e., toward greater insight. 

This is an important doctrine in several respects, 
not the least of which is the new validity which images 


have been given. It is also important to stress the 


85 
relativity of images to the respective truths which they 
reveal, because it is just this function of revealing the 


higher truth which the Timaeus develops in a new way. In 


the Republic, Plato admits the functional role of images 
with some hesitation. In the Timaeus, this hesitation is 


gone, and images are said to be perfectly appropriate 
revelations in themselves, since they are proportional 
to their paradigms. 

Next we are given a Pythagorean myth of the origin 
and outcome of strife in the state, in which the diameters 
and circumferences of circles are described by means of 
the numbers for which the Pythagoreans are famous. The 
perfect stpirelede circle is one whose diameter is a 
perfect number; i.e., one which is the sum of its divisors, 
as six is divided by and is the sum of 1, 2, and 3. 
Unevenly divided circles introduce strife in the state. 
This 1s the sort of tale the muses tell, and Homer speaks 
their language (545 e). However, while these tales are true 
in their way, Plato says that there are more pressing 
investigations, and little is made of the whole procedure. 
It is quickly introduced and quickly abandoned. Suffice it 
here to note that in this Pythagorean allegory time is 
represented by a revolving sphere, and, like a sphere, has 
a beginning, a middle and an end, so that the forms of 
government which correspond to the periods of time have a 
definite sequence. One might extract here a whole political 
_philosophy of history in the Pythagorean idiom, but it can | 


86 
be shown by a discussion of the Timaeus, that a philosophy 
of political forms and their temporal sequence along 
Pythagorean lines is far from the sort of treatment Plato 
can give to this subject. 

Plato resorts once again to an image of the soul, 
but this time it 1s an ideal image, the best possible. 
The soul is pictured as consisting of one part polycepha- 
lous beast, one part lion, and one part man (588 c), just 
as the state consists of three classes, one of knowledge, 
one of ambition, and one of money (580 da). Having discover- 
ed this as a result of the inquiry into the state as the 
image of the justice of the soul, Socrates says now that 
the ideal city is a pattern laid up in heaven, and “he who 
desires may behold this, and beholding, govern himself 
accordingly. But whether there really is or ever will be 
such a one is of no importance to him, for he will act 
according to the laws of that city and no other" (592 b). 

The last book of the Republic again takes up the 
problem of representing this ideal realm in images which 
the short-sighted might be able to see. Here Plato rejects 
imitative poetry as mere copy-making, so that even the 
painter, who paints new images which did not exist before, 
4s an inferior kind of creator, for when he copies the bed 
which the carpenter makes of wood, even the wooden bed is 
only an imitation of the Form of all beds. The painter 
copies, the carpenter copies, but the idea of the bed is 


ie 


87 
original and is not a copy of any thing or of any idea. 

Thus, the doctrine of the Republic, insofar as it 
concerns the realm of Forms, describes this realm as a 
sphere in which what is remains what it is, and does not 
become something else. These Forms are the archetypes of 
the visible world, which, from the point of view of the 
Forms, consists of images and copies of the Forms. Images 
are subject to time in the guises of generation and corrup~ 
tion, and are changeable, and, therefore, are not truly 
real, since they are not immutable and eternal. 

One last doctrinal theme of the Republic remains to 
be cited before we pass on to the next dialogue. It is the 
Myth of Er. Like the small Pythagorean allegory which 
purported to explain the origin of strife, it represents 
an attempt on Plato's part to plumb not only the depths 
of things but to discern their origins. The Myth of 
goes beyond the Pythagorean myth of political philosophy 
in that it is meant to be a brief cosmogony, not just the 
origin of this or that political form. ‘'o those who search 
the Republic for a literal political philosophy and its 
correlations with the soul, it might seem strange that 
the Republic should end on a note of myth. However, to 
those who see that the Kepublic is an allegorical attempt 
to portray the realm of Justice, (which is timeless) in 
terms which the shortsighted can comprehend, (namely, the 


images of the changing present) it comes as no surprise 


tote) 
that the Republic ends in a myth. In fact, since the whole 
Republic itself, 1s confessedly only a short-sighted 
representation of an eternal realm, there should be no 
jarring of consciousness when the Myth of Er is presented. 
The whole dialogue reads like an attempt to say what seems 
unsayable to those who think that saying things means they 
are true. 

However, there are certain characteristics of the 
Myth of Er which ought to be singled out, in addition to 
its cosmogonical character, 

The Myth of Er recounts the alleged journey of a 
slain warrior into the world after death, where he is 
allowed to see what happens to the souls who perish. Some 
are doomed to wander beneath the earth for ten times the 
normal lifespan (reckoned as ten times one hundred) and 
others are allowed to spend their time in a realm of 
"“4nconceivable Beauty." Thereafter, the souls are allowed 
to choose from a wide assortment of lives those they think 
they would enjoy in their next mortal period on earth. 

The more interesting feature of this myth is the 
description of the stars and planets spinning in their 
relative spheres around the spindle of Necessity; the 
Fates, daughters of Necessity, may interrupt these revolu- 
tions momentarily or give them direction. The fates 
represent the tenses of time, one for the present, one 
for the past, and one for the future. Here is the circular 


image of time again, in which the revolutions of the 


89 
spheres of the heavens is taken to be the meaning of time: / 
that is, the spinning of the spheres is the motion we call 
time. Notice, however, that here in the Republic, time 
derives from necessity. As we shall see, this is quite 
different from the doctrine of the Timaeus. 

One of the most provocative features of this myth, 
48 the perpetual recurrence which 1s said to characterize 
life, and the circular imagery in which this doctrine is 
cloaked. For, if it is taken seriously as a myth, it tells 
us that the number of souls must be a constant, and the 
careers of men are predetermined by their former lives. 
How could the experience of such a realm elude our conscious 
thought in the mortal portion of life? We are told that the 
souls must drink of the "waters of forgetfulness and negli- 
gence" before they return to a mortal abode (621 a). 

this is a strange metaphor, especially when coupled 
with the doctrine of reminiscence, or with the description 


of the after-life in the Phaedo. What is the meaning of 


the "water of forgetfulness"? It pertains to the theme we 
have been describing throughout the Republic: the eternal 
realm of Forms, the visible world of time, and the strange 
distance between them which makes the truth of the eternal 
realm almost impossibly unintelligible to the visible life. 
Here in the Myth of Er the souls who have lived for a 
thousand years in the realm of “inconceivable Beauty" are 
made to forget this experience by imbibing the waters of 


ES 


90 
forgetfulness. In this way, a mythical answer is made to 
the problem of the difficulty of remembering the realm of 
Forms, the true home of the soul. Since the soul has been 
in the realm of the Forms, this former life is the basis of 
the soul's subsequent recognition of copies of the Forms in 
this life. This accounts for Socrates' constant attempt to 
be the midwife of insight. He hopes that a particularly 
well-chosen image might awaken the soul's memory of the 
eternal realm. His whole pedagogy is based on this premise. 

On the one hand, this elevates philosophic discourse 
to a very high level. On the other hand, it puts the whole 
responsibility of achieving insight into the Forms on a 
lesser and inferior type of insight. This contradiction 
did not escape Plato, but he did not resolve it in the 
Republic. We shall have to look to succeeding dialogues for 
its resolution. 

Summary of the Republic 

We have seen that the Republic presents an attempt to 
gain insight into the eternal realm through the investiga- 
tion of Justice as it is in the state, that this is an 
allegorical attempt to see the Form of justice in the soul, 
and in that way to see Justice itself. However, we are told 
repeatedly that one needs good vision for this, and that not 
everyone has good vision. Further, even those with good 
vision have a difficult time communicating with those who 
have less than perfect vision. This forces him who has seen 


ithe Form of Justice to resort to images and copies of the 


91 

Form of Justice, which, unfortunately results ina . 
Mutilation of the truth of the Form. We are forced to rely 
on myths which are like the truth but are not the truth. 
They bring us close to the truth but not close enough. 
The height and distance of the Forms is the reason for this 
difficulty, and it is only partially diminished by the use 
of imagery, which is unfortunately always changing, becom- 
ing, and passing away. We must have the truth as it is, 
yet we cannot, for the realms of eternity and time are too 
discrete. While time derives from necessity, the Forms 
derive from eternity, and images constitute an in-between 
realm of compromise. 
The Parmenides 

It is generally agreed that the Parmenides and the 
Theatetus must be placed midway between the middle and the 


late dialogues. If it is true that Plato gradually develop= 
ed his doctrines, one should expect to find in the Parmen- 
ides some criticism of the Form-theory as it was developed 
in the Republic, and some sort of further development of 
doctrine. In order to present the details of this hypothe- 
sized development, it is now necessary to examine the 


doctrines of the Parmenides which pertain to the themes of 


eternity, image, and time, and to see how Plato modifies 
his view of the relation of these themes to each other 
and in what way the meaning of these themes in themselves 


is changed. As we shall see, the eternal realm of the Forms 


92 
and the relation of this realm to the realm of visible 
things, as described in the Republic, is brought face to 
face with some sharp criticisms, in the light of which 
Plato modifies the positions he took in the Republic. 

It 18 also generally agreed that one may logically 
divide the Parmenides into two parts, the first of which 1s 
a dramatic introduction and the second of which constitutes 
the body of doctrine. In this second part, Plato divides 
his subject into a series of eight hypotheses. Before we 
discuss them, it might be wise to describe what the word 


hypothesis means as Plato uses it in the Parmenides. 


First, Plato does not mean by hypothesis what is 
usually meant by this word in contemporary usage in our 
own day. We are accustomed to the provisional character of 
hypotheses and we regularly expect them to be written in 
the form of if-then propositions. Thus for example, we 
usually begin an investigation by asserting that, if a 
given theoretical view is true, then we should expect to 
find the certain conditions to obtain. Then we seek out 
the conditions, describe them as impartially and fairly as 
we can, and thereafter determine with what accuracy the 
conditions resemble those we predicted would obtain. 

But Plato's method in the Parmenides is different 
from the methods just described. He proceeds in a similar 
but not identical way: for he first decides to examine 


whether a given proposition is true or false and then, 


ee 


93 
first assumes the truth and then the falsity of the 
proposition in question, which he follows with a demonstrae 
tion of the logical consequences of these assumptions. If 
he arrives at an absurd consequence by assuming the 
proposition to be false, he begins again by logically 
deducing the consequences of assuming the proposition to 
be true. In short, Plato asks what are the consequences of 
assuming a given proposition to be true or false, and it 
is these propositions which he calls hypotheses. His method 
differs from our own in that we are accustomed to confront 
our hypothetical propositions with observations which may 
or may not agree with predicted observations. Plato examines 
the logical consequences of a given view; we predict which 
observations shall be made if the hypothesis is true. 

While these two methods have much in common, they are 
obviously not identical. 

The eight hypotheses which Plato discusses in the 
Parmenides are not equally relevant to the themes of etern- 
ity, image and time, so that the short summary of the 
doctrine of the Parmenides which follows should not be 
regarded as an attempt to summarize the entire significance 
of the dialogue. 

The dialogue begins with a recitation of a youthful 
work of Zeno's, which asserts that the existence of the 
many leads to logical absurdities even more ridiculous than 
the alleged absurdities which are said to flow from the 


tes 


94 
assertion of the existence of the One. The basis for this 
assertion of absurdity is the statement that the many 
would have to be both like and unlike, and that therefore 
the Like would be Unlike and the Unlike Like, i.e., since 
there are both like and unlike things, both Like and Un- 
like would have to be said of them (127 e). 

Socrates asks whether it is possible to assert that 
there is a Form of Like and a Form of Unlike, and that, 
instead of saying that each thing is both Like and Unlike, 
perhaps things share in these Forms, and in that way, 
things will only share in these Forms and will not have to 
be both like and unlike in themselves (129 a). While it 
would not be difficult to think that things shared in the 
Forms in this dual way, it would of course be impossible to 
assert that the idea of Like and the idea of Unlike them- 
selves shared in a dual way in some higher Form, A thing 
might participate in the One and in the Many and in that 
way it could share in both of them without being both of 
them, and thus different from itself. In the same way, 
things could share in both Rest and Motion, Same and 
Different, and other pairs of opposites (129 e). 

Parmenides and Zeno smile in admiration at this 
view, as if they were amused at the craft of this philo- 
sophical child named Socrates, who, at the time of this 
dialogue, 1s said to be no more than twenty years old (130). 


Parmenides elicits from Socrates the admission that 


i 95 
his method leads to the assertion of a Form for the Just, : 
the Good, and the Beautiful, and of all that class of 
notions (130 a). Therefore, there must be a Form of man, 
of fire, of water, etc. Similarly, there must be a Form of 
hair, dirt, mud, etc. 

eeevVisible things such as these are as they appear 

to us, and I am afraid that there would be an 

absurdity in assuming an idea of them, although I 

sometimes get disturbed and begin to think that 

there is nothing without an idea; but then again 
when I have taken this position, I run away, 

because I am afraid that I may fall into a bottonm- 

less pit of nonsense, and perish; and I return to 

the ideas of which I was just now speaking, and 

busy myself with them (130 d). 

Parmenides responds that this is due to Socrates’ youth, 
and that a time will come when philosophy will have a 
firmer grasp. 

Parmenides then puts the issue squarely: are there 
or are there not Forms in which things participate, and in 
that way come to have the qualities of the Forms. Socrates 
says there are (131 a). Here we have the central problem 
of the Parmenides posed with exact precision: are there 
Forms and is there an eternal unchanging realm where they 
abide. This realm and its characteristics are assumed to 
exist so that they can be examined in a new way. The 
problem of the manner in which the Many participate in the 
One is chosen as the topic by which this issue is best 
focused, and they agree to discusa it. . 

The first ob jection Parmenides offers to this view is 


the problem of accounting for the way in which a Form could 


96 
be said to be in the many and yet remain one Forn. For, . 
if the Form were in the many, it would seem to be divided 
among them, and hence, not one Form, but many. Nor is it 
possible for the whole idea to be in each of the many for 
then the idea itself would be many (131 c). 

The second objection Parmenides raises is as follows: 
if the Idea of Greatness (or Oneness, or Justice, etc.) 
arises as the Idea under which the many are comprehended, 
must not an Idea of the Idea arise which is the source 
both of the Idea and of its distribution in the many, and 
then an Idea of it, and so on, until an infinite regress 
4a reached (1352 b)? 

Socrates attempts to evade this by asking whether 
the Idea may not be only a mental unity assigned to the 
class. Parmenides shows that even such an Idea would be 
subject to the same critique, for an Idea of the Idea 
would have to arise to give meaning to the first idea, and 
so on. 

Socrates then attempts to say that the Ideas are 
really patterns fixed in nature, and that things resemble 
them. This is subjected to the same critique: another Idea 
would have to arise in which both the pattern and the 
thing would be like. 

"The theory, then, that other things participate in 
the Ideas by resemblance has to be given up, and some 


other mode of participation has to be devised" (133 a). 


97 

These are not even the gravest objections which can 
be raised against the theory of the Forms. Even worse 
consequences follow once one perceives that the Ideas 
cannot exist in us or be known by us so long as they remain 
where they are said to be, for then they are there and not 
here with us. And if we cannot know them, is there any 
basis of intelligibility: how can we know, and what can we 
know (133 b). Parmenides asserts that only a long and 
laborious demonstration can remove this difficulty, which 
necessitates much training, (not good eyesight alone). 

Parmenides begins then, by facing directly the 
problem which the Republic began to examine; i.e., if there 
is a realm of Forms separated from the realm of things, 
the relation of one realm to the other seems impossible, and 
with that impossibility of separation, partially bridged by 
the reluctant admission of images, the basis of true 
knowledge (and Justice, Good, Beauty, etc.) disappears. 
One falls thereafter into a “pit of nonsense." The further 
consequence is that anyone who might have knowledge of the 
Forms would be unable to have knowledge of us, since we are 
in a different realm (134 e). Separated realms leads to 
nothing less than the destruction of reason (135 c). All 
this arises out of the youth of Socrates, and his lack of 
training. 

Parmenides holds out a hopes he says that there is 
more truth to be found, if, after affirming the hypothesis 


,of separated realms and inapecting its logical results, 


98 


the hypothesis is also denied, and the results of this 
denial are similarly subjected to logical investigation. 
One should further test this method by both affirming and 
denying such hypotheses as the existence and non-existence 
of the One and the Many, Rest and Motion, Like and Unlike, 
Generation and Destruction (136 b). 

Notice the characteristics of this method. The 
existence and the non-existence, Rest and Motion, Genera- 
tion and Destruction, are to be tested. Both sides of the 
argument are to be followed. Nowhere has the question yet 
been asked whether there are two sides. It is assumed. As 
we shall see, it is this assumption of a dualism running 
through the nature of Forms, Ideas, things, perceptions, 
etc., which Plato is subjecting to the light of his 
analysis. 


So much for part one of the Parmenides. In the next 


portion Parmenides employs his method of affirmation and 
denial in eight hypotheses. In them, he subjects nothing 
less than the basis of the theory of Forms to a searching 
critique. 

The first hypothesis of the eight is said to be 
Parmenides’ own One; if this sort of One is, it cannot be 
many (137 c). From this it follows that it has no parts, 
no beginning, middle, end, is not like or unlike itself or 
another, is neither same nor different, is neither at rest 
nor in motion, is neither great nor small, limited not 


(unlimited, equal or unequal. The relation of the One and 


99 
time is set forth as follows: 

The One cannot be older, or younger, or the same age 
as itself, because that would imply Likeness, which it was 
shown not to have (140 a). Therefore it cannot exist in 
time at all (141 a). “And if the One 1s without participa- 
tion in time, it never has become, or was becoming, or was 
at any former time, or has now become or is becoming, or is 
or will become, or will have become or will be hereafter." 

"Most true. 

"But are there any modes of being other than these? 

"There are none. 

"Then the One cannot possibly partake of being. 

"That is the inference. 

"Then the One is not. (14%) 

"But can all this be true about the One? 

" I think not" (142 a). 

The result of the first hypothesis is clear: start- 
ing on the assumption of the One as unrelated, it follows 
that nothing can be said about it, not even that it is 
One. Assuming the logic to be impeccable, the hypothesis 
leads to its own contradiction. Such an hypothesis is 
untenable. Therefore, all the things which we tried to 
predicate of it, and found ourselves unable to predicate of 
it, are not predicable of it @f it 18 what we assumed it to 
be), that is, unrelated. If it is unrelated, it is unspeak- 
ably other. Therefore, we must seek for other ways to 
speak intelligently about it. 

Here is the first clear attempt to close the gap 


between the unreachably eternal and the irrevocably tempor- 


al, a gap which 1s now clearly faced and admitted to 


te 


100 
present an obstacle to intelligent thought. The One, 
therefore, cannot be in a completely separated eternal 
realm. It must somehow be in some sort of relation to the 
temporal realm. The ways in which the One is so related are 
the topics of the next hypotheses. 

The second hypothesis (142 e=155 a) begins with a 
different assumption. It affirms that if the One is, its 
unity and its being are different. Therefore, it is a 
vhole of two parts, unity and being. Each part, furthermore, 
is a one (142 d). Therefore, the One of hypothesis II 
contains division within it, and therefore becomes the 
recipient of the predicates which its former indivisibility 
made impossible. It is now, however, susceptible of both 
sides of the pairs of contraries which were formerly 
inapplicable. It is now One and Many, Infinite in number 
and Limited in number, Same and Other, in itself and in 
another, at Rest and in Motion. Further, these predicates 
are both applicable by affirmation, but, because each pair 
is contradictory, they are also inapplicable. 

If the One is a One of parts, it partakes of time, 
which is always moving forward (152 a). Therefore, the One 
becomes older, younger, and is the same age as itself. Yet, 
Since it is the same age as itself, it is neither older nor 
younger than itself (152 e). 

In the same way, it is younger, older, and the same 
age as the Other and the Others (153 e). And, in the same 


ls 


101 
way, it is not older, younger, or the same age as the 
Other or the Others (154 a). 

Therefore, since the one partakes of time, and 
partakes of becoming older and becoming younger than itself 
and the Others, and neither is nor becomes older or younger 
than the Others, the One is aid wee and will be, and was 
becoming, 1s becoming, and will be becoming. “And, if we 
are right in all this, then there is an opinion and science 
and perception of the One" (155 da). 

Two conclusions may be drawn from the second hypo- 
thesis. First, the One, by hypothesis, is no longer so 
separate and so isolated that nothing can be known or said 
of it, so that it is now said to be in time and becoming, 
and not in time and becoming. Second, it is, by the same 


token, both like and unlike itself. But this is far from 


the final doctrine of the Parmenides. 


In the first hypothesis, the One was indivisibly One 
and nothing could be said or known of it. In the second 
hypothesis, the One is divisible and therefore, everything 
can be said and known of it. But this is nor more satisfac- 
tory than before. Previously, we avoided contradictory 
predications at the expense of knowledge; now, we have 
knowledge, but it pays the price of contradictory predica- 
tions. Since it ia no more helpful to say everything of it 


than it is to say nothing of it, another way must be found 
to discuss the One intelligently. 


Hypothesis IIA interposes another method by which 


102 
the One can be intelligently discussed. The One cannot be 
the bare unity of hypothesis I nor the divided unity of 
hypothesis II. Hypothesis IIA tries to see whether one can 
avoid the scandal of contradiction by making predications 
of the One at different instants, so that there will be no 
one time at which the contradictory predicates of hypothesis 
II need to be applied simultaneously. In its own way, it 
introduces some considerations of not-being, which, as we 
shall see, are pursued further in subsequent dialogues, 
especially in the Sophist. 

If, as hypothesis II asserts, the One is divided, 
and partakes of time, it cannot both be and not be at the 
same time (155 6). (This is precisely what is to be proved). 
Therefore, there must be an instant between the instant 
when the One is (said to be anything) and the One is not 
(said to be anything) (156 a). Similarly, there must be an 
instant between its generation and its corruption. In the 
same way, there must be an instant between the instant 
when the One is in motion and the instant when the One is 
at rest, when it is like and when it is unlike, etc. The 
strange instant between the instants at which predication 
may be asserted is a very peculiar sort of instant, for, 
if the predicates which we assert of the One are asserted 
of the One insofar as it is in time, the instant between 
these instants cannot be in time, and might therefore be 
called not-time. Plato does not use this term. He calls it 


_& "queer instant" and says that the divided One of 


103 
hypothesis II leads to the conclusion of contradictory : 
predicates, and that these cannot be simultaneously 
asserted (157 a). But if they cannot be asserted at the 
same instants, perhaps they can be asserted at different 
instants. Yet at any given instant, if we do not assert 
both sets of predicates and neither, (1i.e., both affirm 
and deny them) this instant cannot be in time at all. 

Hypothesis IIA may be called the "linear" hypothesis, 
by which is meant that in it, time is examined as if it 
consisted of a series of instants, a sort of Zenoism of 
time, an imaginary line. Plato here applies the third 
man argument to a linear image of time, a series of 
instants, yet, if time is a series of instants, a third 
inatant will always be found between the two surrounding 
4netants at which predication is made. It seems that Plato 
here asserts that time cannot consist of a series of 
4nstants and that predication is made impossible by so 
viewing it. 

If becoming, motion, change, generation, alteration, 
and locomotion are in time, and their contraries are also 
in time, we cannot avoid the difficulty of contradictory 
predication by assuming that time is a series of instants, 
nor can we say that the pairs of predicates switch over 
from one instand to another in an interstitial instant. 
For, if a predicate is asserted of the first instant and 
the contradictory predicate is asserted of the third 


iinstant, at the point of the second instant, nothing can 


104 
be asserted, and we are back to hypothesis I where we can 
neither affirm nor deny anything of the One. However, this 
philosophical gymnastic has not been unfruitful. We know 
now that the need to make intelligent statements about 
the One is not satisfied by assuming that it is a complete- 
ly separate One. We know that we cannot say that it is 
completely divided, for then it is really a Two. And we 
know that we cannot insert the instant between the One and 
the Two in order to fasten predicates on either end and 
allow the middle to be the transition, for then the middle 
ie neither One nor Two. 

I hope it does no violence to the spirit of philoso- 
phical continuity to say at this juncture that the remain- 


der of the Parmenides may be briefly summarized. The 


Parmenides does not attempt to solve its problem within 


itself, but leads one beyond it. The third hypothesis 
points out that parts in their multiplicity, and parts in 
their relation as parts of a whole, must be distinguished, 
and on this basis, their limitation and relative infinity 
can overcome the contrariety they seem to suggest. In this 
way we avoid the contradiction of saying that the parts 
are both limited and unlimited and therefore cannot be 
predicated of the One. In fact we must say that the parts 
participate in the One as parts, but that parts by them 
selves are merely unlimited. 

The fourth hypothesis considers the relation of the 


(One to Others, that 1s, each part, as a One, has some of 


105 
the properties of the Other insofar as it is a part. The 
fifth hypothesis considers the need to understand how the 
One, the parts, and the Others limit each other. (This 
point will be pursued at some length in the Philebus). The 


sixth hypothesis examines the characteristic of the Other 
insofar as it is only other. The seventh hypothesis consid- 
ers the result of assuming the existence of the many 
without assuming the existence of the One. This is said to 
result in mere opinion, which is inadequate precisely 
insofar as it sees only the many as many and ignores the 
many as parts of the whole. The elgth hypothesis points 
out that the assumption of the existence of the Many 
without the One results in a contradiction because without 
the One there is no Many. 
Summary 

I would like to summarize the doctrine of the 
Parmenides insofar as it pertains to the hypothesis of this 
study. It is, I think, an examination of the naive assump- 
tion that the realm of the Forms in its bare unrelated 
purity renders intelligent predication, and therefore, all 
intelligent discourse, impossible. It asks how and in 
what way we may both speak of the Forms and speak of 
appearances without separating their respective realms. 
It states that the realms are related (in some way-hypo- 
thesis III) but it never really reveals this way with any 
precision or clarity. 


However, for the purposes of this study, an important, 


106 
conclusion has been stated. We saw in hypothesis IIA, 
that it is not possible to regard time as a series of 
instants strung out along an imaginary line, and that the 
instant is, in some way, not-time, a “queer instant." 

As we shall see, in one of the next dialogues, the 
Sophist, the generalization of this problem of not-time is 
examined: i.e., the problem of not-being. A new method of 
division of predicates is introduced in the Sophist and 
developed in the Statesman. The question of limit and 


measure is examined in the Philebus, and, finally, the 


divisions of becoming and the nature of time are examined 


in the Timaeus. 


However, between the Parmenides and the Sophist 


there is another dialogue which intervenes, the dialogue 


which is generally agreed to follow the Parmenides. It 


seems to be the task of this next dialogue to examine the 
protagonists of hypothesis VII, in which it is said that 
there are those who hold that the Many exist and can be 
known. This is the subject of the Theatetus. 


The Theatetus 
This dialogue sets itself the problem of examining 


knowledge, and asks itself to answer such questions as 

"do we know," “how do we know," and "are there kinds of 
knowledge.” Where the Parmeyides focused on the consequen- 
ces of hypothesizing that the realm of Forms is completely 


separated from the realm of things, the Theatetus inquires 


,into the basis of knowledge from the other direction, 


107 
namely, it focuses on the world of things and seeks the : 
basis for speaking of it intelligently and knowingly. 

In the interests of brevity, only those portions of 
the Theatetus which are directly relevant to the analysis 


of the themes of eternity, image, and time will receive 
comment in what follows, and no implication should be drawn 
that the entire significance of the dialogue consists in 
these portions to the exclusion of other important aspects 
of the dialogue. It is the business of the following 
comments to focus on the significance of the problem of 
knowledge and the attendant problem of error to show that 
the Theatetus constitutes something of an advance over the 
Parmenides precisely because it takes some of the conclu- 


sions of the Parmenides into account. 


Theatetus suggests that knowledge is perception (151e). 
Socrates reminds Theatetus that this position makes all 
knowledge infallible, and that this same doctrine fits 
Heraclitus, Empedocles, and Homer, indeed, fits a whole 
tradition, with the single exception of Parmenides. 
According to this tradition,all things are in a perpetual 
becoming, and therefore we may not say that things are 
being or something, because they are all in flow and flux 
(152 6). In perception as well as in matters of the soul, 
motion, not rest, is the source of health, according to 

these philosophers. 


Socrates then reaches the conclusion that whatever 


108 


appears can only be while it is appearing. He remarks 
"Let us follow out our recent statement and lay it down that 
there is no single thing that is in and by itself" (153 e), 
as if Socrates were testing the hypotheses of the Parmenides 
in the realm of perception. Thus we read "...nothing can 
become greater or less either in size or in number, so 
long as it remains equal with itself" (155 a). Again, we 
find "...a thing to which nothing is added and from which 
nothing is taken away is neither diminished nor increased, 
but always remains the same in amount" (155 a). And 
“,.emust we not say...that a thing which was not at an 
earlier instant cannot be at a later instant without 
becoming, and being in process of becoming" (155 b)? On 
the basis of these axioms, things both change and do not 
change and are perceived and are not perceived. “The 
conclusion from all this, is, as we said at the outset, 
that nothing is one thing by itself but is always in 
process of becoming for someone, and being is to be ruled 
out altogether" (157 b). All is flux, each is flux. 
Socrates wants to make sure that the point has been firmly 
made so he asks: “Once more, then, tell me whether you 
like this notion that nothing is but is always becoming 
good, or beautiful, or any of the other things we mention- 
ed" (157 a). 

The bearing these questions have on the three themes 
of eternity, image, and time which we are pursuing is, 


ibriefly, this; perception deals with appearance and the 


109 


world of appearance is a fluxion in which all things are 
becoming. Therefore, the forms cannot be located in a 
completely separate eternal realm which guarantees know- 
ledge. Yet we seem to know. The question is, are the images 
which perception furnishes us true because they are nei- 
ther eternal nor mere appearance? Plato is again posing 

the problem: how can the visible world participate in the 
eternal world? In the Theatetus, the question becomes: do 
the images which perception gives us make possible a know- 
ledge of the eternal? . 

Socrates reminds us that the "men of flux" constitute 
only one group, which is opposed by another group, consist- 
ing of Parmenides and Melissus, who hold that “all things 
are a unity which stays still by itself, having no room to 
move in. How are we to deal with all these combatants? For, 
little by little, our advance has brought us, without our 
knowing it, between the two lines..." (180 e). Socrates 
says that the inquiry will succeed best if the flux 
doctrine is examined, and if the re-examination of the 
forms is postponed (183 A). 

But let us not be deceived by the atatement that 
Parmenides' view is to be postponed. For, no sooner has 
Socrates said it, than he enters into discussion of what 
is known, and, asks whether all the things that we say we 
know are perceived by sense. We say, for example, that a 
flower is white and that the flower is. Surely the faculty 

_that says it is white and no white and the faculty that 


J 


110 
says it is and is not, surely these cannot be the same 
faculty. 

You mean existence and non-existence, likeness and 
unlikeness, sameness and difference, and also unity 
and numbers in general as applied to them; and 
clearly your question covers even and odd and all 
that kind of notions. You are asking through what 
part of the body our mind perceives these (185 c)? 
Socrates congratulates Theatetus on reaching the conclusion 
that the mind is its own instrument in perceiving, since it 
saves him a long argument (185 e). Thus, we go beyond the 
statement that knowledge is perception, for we know the 
existence of a thing not by perception but by the mind's 
reflection on something perceived (186 e). And this 
reflection is temporal, for all those qualities of which 
we spoke (the Parmenidean pairs of contraries) "seem to me 
above all to be things whose being is considered, one in 
comparison with another, by the mind, when it reflects 
upon the past and present with an eye to the future" (186a). 
Such reflections upon perception only come, if they come at 
all, to those who go through a long and troublesome process 
of education (186 c). For, if one cannot reach the exis- 
tence of a thing, he cannot reach the truth (186 c). 
Welcome as it seems, this statement only pushes the 
difficulty further back. If the mind's reflection on 
itself is like two voices of the mind speaking to each 
other, why do we assume that the voices always agree. 


Cannot the voices of the mind disagree; in short, are all 


judgments necessarily true? We dismissed Protagoras because 


tes 


111 
he made all perceptions infallible: are we to say we have 
gone beyond his position only to assert that all judgments 
are infallible (187 a). | 

The suggested approach to the problem of false 
judgment is the famous allegory of the wax tablet (191b ff.). 
We are asked to imagine that the mind contains a wax 
tablet and that ite quality varies in different people: 
some have good, clear, firm, wax, others have unclear, 
muddy, soft, wax, and so the images which perception 
imprints on the tablet vary. In addition, the strength of 
the imprint varies. Images are the gifts of Memory, so that, 
in any act of knowledge, we must now distinguish the memory 
image, the perception (the present image) and the mind's 
knowledge (reflection on images with "an eye to the 
future"). 

Notice that the basis of this division is temporal, 
and not a static hierarchy. Images are not discarded merely 
because they are "low," and knowledge is not better merely 
because it is "high": we are now asked to see that false 
judgments can arise out of faulty matching of remembered 
images, present images, and reflections on images with 
“an eye to the future." This is a significant advance 
over the Republic. 

The discussion of knowledge is further complicated 
because we may confuse past images with present images, 
past perceptions with present perceptions, past knowledge . 


.with present knowledge, and each of these may be faulty 


112 
both by reason of faulty wax, varying strengths of impres- 7 
sion, or mismatching. Even Theatetus complains of the 
complexity. In addition, we have again only pushed the 
difficulty further back, because we are assuming that the 
mind is infallible, and that is just the problem we wanted 
to investigate. "That was the very ground on which we 
were led to make out that there could be no such thing as 
false judgment: it was in order to avoid the conclusion 
that the same man must at the same time know and not know 
the same thing" (196 c). 

Socrates reminds Theatetus that the whole conversa~ 
tion assumes both that we know, and that we do not know, 
what we say. If we do not assume that we can know, converga- 
tion is impossible (197 a); If we do not assume that we may 
not know, all knowledge is infallible. 

Another allegory is introduced to supplement the 
wax tablet. It is the allegory of the Aviary. Where the 
allegory of the wax tablet was concerned with images and 
the possibilities of conflict between images and reflections 
on images, the allegory of the Aviary is concerned with 
flying birds, which symbolize reflections i.e., thoughts. 
Although reflection upon images gives rise to thoughts, 
these thoughts soar and must be recaptured in recollection 
4f we are really to know. Here again we are shown that 
there is a temporal emphasis to be placed on the acts of 


knowledge, for, in a sense, knowing is relearning what we 


113 

‘knew before (198 e). Yet, if we ask whether some of these 
recollections might not also be false, we see that the 
criterion of true knowledge remains to be found (200 b). 

Perhaps there is no way to define knowledge, and we 
must content ourselves with the statement that perception 
gives rise to true belief and opinion. 

Socrates shows that this conclusion is due to an 
inaccuracy. For example, he says, the syllable was not, 
until the letters were combined in just that fashion; it 


4s a one after its parts become parts of it (204 a). Here 


is another recapitulation of the arguments of the Parmen- 


ides. It is the same with number: a sum is not a sum 
until its component integers are added, and only thereafter 
is it one sum (204 e). But this 1s the distinction to be 
made (as it was made in the Parmenides): the whole consists 
of the parts; not just any parts, considered in themselves, 
as unrelated ones, but parts as related. In other words, 
the difficulty is only apparent, and it vanishes as soon 
as we see that the whole and the parts are not two differ- 
ent things in isolation but related aspect of a One (205 b). 

To conclude, then; if, on the one hand, the 

syllable is the same thing as a number of 

letters and is a whole with the letters as 

parts, then the letters must be neither 

more nor less knowable and explicable than 

syllables, since we made out that all the 

parts are the same thing as the whole (205 a). 
Therefore, Socrates concludes that those who hold that the 
elements or the whole are more or less knowable than each 


Other, are playing with us. We can know the elements, as 


114 
parts, and therefore, an opinion with an account is 
knowledge. 

But what is an account (logos)? It cannot be only an 
enumeration of parts as isolated parts (207 e). The other 
meaning might be "the image of thought spoken in sound" 
or language (208 c). This is the problem, not the answer. 
Perhaps marking off a thing and distinguishing it from all 
others constitutes a good account (208 d). An account will 
then mean putting the thing's "difference" into words. (209a) 
But Socrates quickly shows that we must first know the 
common to distinguish the different, which begs the ques- 
tion of knowledge. (209 e) Therefore it does not seem true 
to say that knowledge is opinion with an account of 
difference, unless we already know the common on the basis 
of which we distinguish the difference. (Although this is 
what we do, it 1s not a definition of knowledge since it 
includes “knowing the common" in its "definition"). 

| The dialogue ends a few lines later with Socrates 
saying that all the definitions of knowledge so far 
adduced are mere “wind-eggs" (210 b). Theatetus is told 
that the mid-wife's art is a heavenly gift which Socrates 
uses on those in whom beauty resides, and that as a result 
of this gymnastic they have engaged in, Theatetus will 
thereafter be better enabled to know what knowledge is. 
The conclusion, on the surface, is that we know, but cannot 


define what knowledge is. Actually, we have said several 


115 

‘things about what it is not, and therefore Theatetus has 
made progress along the “long way" which is required for 
this sort of knowledge. That is why the last words of the 
dialogue are "But tomorrow morning, Theatetus, let us 
meet again" (210 d). 
Summary 

What have we learned about eternity, moving images, 
and time? A great deal, it seems. And what we have learned 
cannot be separated from the doctrines of the dialogues we 


have considered so far. We see in the Theatetus that some 


of the positions of the Republic and of the Parmenides have 


been reexamined and certain modifications have taken place. 
We know now that knowledge must include, but is not 
exhaustively defined by, moving images of thought, (birds); 
that we cannot refer to parts in isolation but must discuss 
them as they are related in a One; that the mere enumeration 
of elements does not comprise an explanation; and, above all, 
that we know, but do not know how we know. In addition, 

and perhaps this is the most striking conclusion of all, 

we have seen that the mind can be viewed as conversing 

with itself, and that this internal dialogue consists of 

the attempt to put images and reflection on the past, 
present, and future in their right order. We have advanced 
far beyond the naive view that the mind is a static camera 
whose job it is to escape the transient shadows of percep- 
tion in a flight to eternal forms. We are now told that it 


1 : 


116 
is the task of mind to discern the right temporal order of 
ita ingredients, so to speak. However, even after all 
these things have been done, we still do not have a 
definition of knowledge. The important point to notice is 


that the steps and hypotheses of the Theatetus are no 


longer regarded as inferior but as necessary preliminaries 
in the “long way” which the mind must take to true know- 
ledge. 

Somehow, we have found, not what knowledge is, but 
what complete knowledge is not. This insight, namely, that 
somehow what is not, in some way, must be included in what 
is, will be examined in the next dialogue, the Sophist, 
which can, from certain points of view, be regarded as a 
triumphant breakthrough into another whole way of philoso- 
phizing. 

The Sophist 

We enter now into the series of dialogues unanimous- 
ly regarded as the late group, in which Plato's evolved 
reflections are to be found. The Sophist begins with a 
dramatic introduction which includes the participants of the 
Theatetus, but now we meet an additional person, an Eleatic 
Stranger. This scems to be the fulfillment of the Theatetus' 
promise to consider the Parmenidean approach to truth 
after the Theatetug dealt with the "men of flux." It is 
further interesting to note that the Stranger begins the 
whole dialogue by using a method which is unavailable to 
_the men of flux, namely, the method of division, which 


117 
seemed to the men of flux to presume knowledge, not to 


seek it. (This point will be expanded in the Statesman). 


The Stranger does not allude to this hypothetical difficul- 
ty, and he employs the method without question. This con- 
firms the hint that we are now to inspect the heritage of 


the Parmenides, not in the manner of the Theatetus, nor 


exactly in the manner of the Parmenides, but in some new 
way to deal with philosophical inquiry. And, as we shall 
see, we are told new things about eternity, images, and time. 

It is agreed that a trial run of this method should 
be had before the Sophist is defined, and they agree to 
use an easy example, the angler one familiar to them all. 
This is important because it assumes the results of the 
Theatetus; the angler is at once a familiar experience but 
an undefined reality. 

The definition of the Angler is reached, and the 
method of "halving" is satisfactorily put to the test. 
What is of special interest to us here is the difference 
between this kind of division, and the method of elimina- 
tion which Plato had previously used in the Republic. 

In the sort of dividing which Plato accomplishes here, it 
4a necessary for the divider to proceed very carefully and 
to divide the subject into exact halves, so that only 
what actually pertains to the subject is retained and 
what ta found not to pertain to the subject nevertheless 


reveals something about the subject (221 b). If the 


118 
division is not well made, the remainder will contain too 
much, that is, the definition will remain too vague. Only 
by carefully determining what something is not can one 
reach a precise knowledge of what something is. Thus it is 
incorrect to equate the method of division which we find 
in the Sophist to the method of residues which we confronted 
in the Republic. The latter proceeds by eliminating classes 
of objects, the former by dividing within a class of 
objects. 

It 4s necessary to notice, however, that the Stranger 
provides the divisions, and that Plato passes over the 
fact that in some way the Stranger knows what divisions are 
most helpful. It is almost as if the Stranger already has a 
higher wisdom. In other words, he does not draw his 
distinctions from appearance, but somehow draws them from 
a higher kind of knowledge. It 1s important to emphasize 
this point because it is in strong contrast to the method 
advocated by the men of flux in the Theatetus. 

Having defined the Angler, Socrates now attempts to 
define the Sophist. To those he convinces, the Sophist 
seems to know all things, and to be versed in every art, 
but such competence is impossible. Now we approach the 
central concern. For the Sophist cannot truly be what he 
claims to be, yet he certainly appears to be. Appearance 
and reality cannot be the same, yet the question is, how 


do they differ. This question might be called the most 


119 
important question in all of Plato's dialogues so far. The — 
definition of the Sophist, then, is a case in point: we 
are to investigate this partisuien gentleman, as we 
investigated the Angler, in order to discover how reality 
is, and what appearance seems to be; in the language of 
this study, how the eternal forms are related to the tempor- 
al world. 

The Stranger asserts that the Sophist is an imitator, 
and that sufficient division of the imitative art will 
reveal him. Just as imitation may be divided in two kinds, 
so the images which imitation produces are of two kinds; 
some images (eikastike) are like reality in that they are 
faithful to the proportions of the original (235 da); others 
distort the proportions of the reality, and these we shall 
call fantasies (phantastike) (236 b). But now the problem 
becomes even greater, because to distinguish the image 
from the reality we have to say that the image is not the 
reality. How can @ man say what is not true, or assert the 
existence of what is not. The word which Parmenides forbade 
Must be uttered - not-being (237 a). No sooner do we 
distinguish the image from the reality than we distinguish 
notebeing from being. At this point, Plato leaps beyond the 
level of Parmenides’ and of his own earlier philosophy, and 
reaches out into virgin territory. And at this point, 
Plato's most crucial discussion of the meaning of the word 


image is begun. 


120 

Surely, the Stranger asserts, we cannot just say 
that what ia, is not. Yet we say “notebeing" as if it were 
a singular; we say "not-beings” in the plural. We agree 
that not=being is unutterable and inconceivable, and yet 
we speak the words; in short, in the act of saying we 
cannot say it, we are saying it (238 c). This is the dark 
hole into which the Sophist retreats when we try to refute 
him, for, if we say that an opinion of his is false, we 
assert that it 4s-not true, and in so doing, we assert 
that it isenot, and he therby chides us on this contra- 
diction (239 a). This is precisely what happens if we ask 
him what an image is. "How can I describe an image except 
as another made in the likeness of the true" (240 a). But 
1f it is other than the true, it is other than what is, and 


hence it isenot. The Stranger then begs not to be accused 
of patricide, for, if they are to catch the Sophist in their 
dialectical trap, the philosophy of Parmenides must be put 
to the test (241 a). In a certain sense, we must say that 
notebeing is, and being is-not. 

The Stranger then says that the predicament in which 
they now find themselvea is due to the fact that the former 
philosophers treated their hearers with disdain, as if 
dealing with children. They followed their arguments where- 
ever they led and left the children to wonder at their 
meanings, because they spoke in myths, among which he 
classes the One and the Many (242 e), the myths of strife 


121 
and peace, the three principles at war in the soul, the 
moist and the dry, and includes in this group the Ionian 
and Sicilian explanations in mythical garb (242 da). He 
says that a discussion of most of these myths may be 
deferred to a later occasion; at present, the chief of 
iheus will be discussed; the myth of the One and the Many. 

The Stranger proceeds to recapitulate several of the 


points made in the Parmenides, citing this as the main 


difficulty among all those presented by the myth~makers. 
He shows that both the unity and the existence of a One 
cannot be the same parts, nor can any of the pairs of 
predicates be reduced to a simple identity, since, if one 
of a pair is chosen as being, the other must then be other 
than being, i.e., notebeing (245 a). 

The materialists who claim that only the tangible 
exists are then subjected to a critique. Their opponents 
are also brought forward, and these are the "friends of the 
Forms," who disolve tangible realities in a sea of corrup- 
tion and generation. None of these schools, Plato tells us, 
are able to deal intelligently with the question now before 
them: the question of notebeing. Having reached this point, 
Plato can no longer choose from existing alternatives. The 
Stranger says "Let us improve them, if we can" (245 e). 

The doctrine he develops to accomplish this improvement is 
the doctrine for which this dialogue is noted, the doctrine 


of notebeing. It must be shown how justly this doctrine may 


122 


be said to constitute an advance, by comparing and 
contrasting it to earlier philosophies. For example, if, 

on the one hand, the materialists were to admit that there 
is a difference between things and thoughts, they would 

be forced to admit that there are some incorporeal 
existences, and if this were admitted, they could be asked 
Whether being is common to both. If pa the other hand, the 
friends of the Forms distinguish between what is and what 
is generated, both being and generation will have to share 
in something common, just as the materialists had to admit 
that something was common to things and thoughts (248 e). 
Now both the materialists and the friends of the Forms are 
caught. As soon as the friends of the Forms admit that 
knowing and being known are different, that one is active 
and one is passive, they will see that one is powerful, the 
other is not. Thus the Stranger suggests that Being is 
Power. If the friends of the Forms deny this, by claiming 
that knowing is only a motion as in generation, there will 
be no knowledge at all. So there must be motion in knowing. 
"and, Oh Heavens, can we ever be made to believe that 
motion and life and soul and mind are not present with 
Being. Can we imagine Being to be devoid of life and mind, 
and to remain in awful unmeaning and everlasting fix- 

ture" (248 e)? Clearly, they cannot. Therefore, "We must 
include motion under being, and that which is moved" (249b). 


As we shall see, this is an important anticipation 


123 
of the Timaeus. And yet, if all things are in motion, there 
can be no sameness or permanence or relation to the same. 
The philosopher must be equally deaf to those who say all 
is in motion and to those who say there is no motion. Some- 
OWNS must have both, yet somehow we can have neither 
alone. Further, if we have only a third, this third will 
not be either nor will it be both (250 b). 

This is not the place for a long discussion of the 
Stranger's solution to this difficulty. We are interested 
only in its relevance to the themes of eternity, image, and 
time. Suffice it to say that, in the following brief 
summary, I am all too aware of the danger of flatly stating 
the results of a long philosophical process. However, 
brevity must be attempted. 

We see, then, that being and notebeing are equally 
perplexing. The Stranger suggests that we try to work out 
the doctrine of not-being, in the realm of predication. Can 
we say that all of the Forms indicated by names, of which 
there are thousands of pairs, can be mixed with each other, 
or only that some forms mix, or must we say that no forms 
mix (251 d). 

These tentative conclusions are tested on the 
examples of grammar and music, where we see now that only 
some letters go with certain others, and only certain 
notes go with certain others. Similarly, he who develops 


the art which knows which of the forms go with which other 


124 
forms, is truly the philosopher, and the art of division 
is his art and his alone. 

The philosopher knows that Rest and Motion, Same and 
Other, are the most general divisions of being, although he 
is hard to see by excess of light (254 a). (As we saw in 
the Republic cave). Rest and Motion do not communicate with 
each other, but being communicates with them both. Same and 
Other do not communicate with each other, but being 
communicates with them both. But Motion and Rest communicate 
with Same and Other, and therefore, Motion is both Same 
and Other than being. In other words, Motion is both 
being and notebeing. And Rest is both being and not-being. 
And Same is both being and notebeing. “Every class, than, 
has plurality of being and infinity of notebeing" (256 e). 
And 

Whereas, we have not only shown that things which 

are not exist, but we have also shown what form 

of being notebeing is; for we have shown that the 

nature of the other exists and is distributed over 

all things in their mutual relations, and when each 
part of the other is contrasted with being, that is 
precisely what we have ventured to call note 

being (258 e). 

There is one last refuge, the realm of images, into 
which the Sophist will now try to escape. The Sophist will 
contend that only some images partake of falsity, but the 
ones that he uses do not. Images are again divided, as 
before, into two sorts, the images which are like the 


original in proportion, and the others, which are fantasies 


and distortions. If the art of philosophical division will 


125 
be applied to images, the Sophist will be deprived of his 
last refuge (264 e). 

Since images are either divinely produced or humanly 
produced (265 b), the Stranger himself suggests that they 
discuss divinely produced images at greater length. 

Looking now at the world and all the animals and 

plants which grow upon the earth from seeds and 

roots, and at inanimate substances which form 
within the earth, fusile or non-fusile, shall we 
say that they come into existence, not having 
existed previously, in any way but by creation 

of God, or shall we agree with vulgar opinion 

about them (265 c)? 

Notice that the creation of the world is spoken 
in @ context of a division of images, not of Forms. Plato 
will expand on this point at much greater length when he 
reaches the Timaeus, but now, since Theatetus agrees with 
him the Stranger says he will postpone this extended 
discussion: right now he wants to trap the Sophist, once 
and for all. 

We now confront, yet again, a divided line. But, 
like the previous discussion of images, it is a more 
developed doctrine than it was in the Republic. Having 
divided image-making into human and divine, we now must 
divide images into genuine images and fantasies (266 e). 
Thus, there are both human and divine images, and human 
and divine fantasies. As an example of divine images 
which are genuine, we have the whole world of things. As 


an example of fantasies, we have shadows caused by things 


interrupting firelight, as in the analogy of the cave. 


126 

Human images can be seen in those genuine imitations which 
preserve the proportions of the originals, as for example 
in true speech. The next subdivision, false images, or 
human fantasies, is found to be the realm of the Sophist. 

One further division remains. He who imitates and 
knows that he imitates genuinely, is not a Sophist, but a 
philosopher. It is the Sophist who imitates fantasies. 
Summary 

What have we learned from this dialogue, with refer- 
ence to the themes of eternity, image, and time. Obviously, 
the most significant doctrinal advances were made with 
respect to images, where we learn that their production is 
both a human and a divine art. But more deeply, it has 
emerged that not-being cannot be divided absolutely from 
being, and that the entire realm of things is suffused with 
both being and not-being. One is tempted to assert that 
the gap between the realms of eternity and time has been 
closed, but Plato has not explicitly said this and the 
adoption of this conclusion would be premature. What has 
been explicitly shown is that the Parmenidean isolation of 
the One, beyond all predication and therefore beyond all 
time is unfruitful, and Plato has advanced beyond the 
Parmenidean position. The realm of the Forms cannot be a 
separate realm, as it was described in foregoing dialogues. 
Just as we have advanced from a faulty conception of being 


through a notion of notebeing, so we have advanced from a 


127 
faulty notion of the realm of the Forms through notions 
of what the Forms are not. Of time, we are told little in 
an explicit way. But one should notice that the Parmenidean 
“queer instant," what we have called "not-time" has been 
generalized, for the Sophist shows that not-being is to 
being what not-time is to time. 


The Statesman 


The participants of this dialogue begin their 
dialectical search for the definition of the Statesman, 
utilizing the method of division developed in the Sophist. 
But, the Eleatic Stranger now cautions the hearers not to 
divide arbitrarily and too quickly, but to make sure that 
the divisions they follow in the argument are real divis- 
ions into real classes, and not arbitrary divisions for 
which names are invented. 

The general point deserves to be underscored. Plato 
is reminding us that division which proceeds only in haste 
to reach a fore-ordained conclusion is sophistic. Such a 
division ignores the fact, established in the Sophist, that 
not all classes communicate with each other, and so divis- 
ion must follow the lines which mark off real classes from 
fantasies. "We must not attempt too general a division of 
the class..." (263 e). "More haste...(means)...less 
speed" (264 b). It is especially necessary to draw out 
the implication that an empirical acquaintance with classes 


of objects is necessary for the process of right division. 


128 

the dialogue proceeds with the method of dividing 
until it reaches the conclusion that the Statesman is he 
who uses the predictive art of knowledge, runs herds of 
living things, which live on land, who are hornless, who 
do not interbreed with other classes of animals, and who 
are two-footed. But the Stranger is not satisfied (267a,b,c). 
For, unlike the shepherd, the Statesman's right to rule is 
disputed by the herd. A new beginning must be made. ‘the 
Stranger announces that he will approach the subject by 
employing a myth. But the Stranger says that his tale is 
not to be a retelling of the familiar myth of Kronos, but 
the Stranger's own version, which, he says, is the basis 
of all such stories. In so saying, Plato undercuts the 
myths he has told in the preceding dialogues, from the myth 
of Er in the Republic, through and including the One and 
Many, which he presents and criticises, respectively, in 
the Parmenides and the Sophist. We shall see that even the 
myth of Kronos shall be transcended in the Timaeus. 

‘the Stranger tells us that the universe was once 
helped in its rotation by the god who framed it in the 
beginning, but that it completed its circle of rotation 
and then set itself in rotation in the opposite direction. 
It did so of its own natural necessity, which the Stranger 
will now explain (269 4d). 

It 4s the only prerogative of divine things to be 
steadfast and abiding, but the universe, since it partakes 


129 
of the bodily, cannot enjoy this rank. However, as far as 
possible, it will have uniform rotation (269 e), and 
rotation in reverse is at least in a uniform direction, 
which is as close to the divine as it can be. Even the 
divine god could not change this direction for it would 
violate eternal decrees. Therefore, there are many things 
we cannot say of this universe: neither that it revolves 
entirely by itself, nor that the god revolves it in its 
entirety, nor that a pair of divinities revolve it in 
opposite directions (270 a). In one era it is moved by the 
god and has its own sort of immortality, in another era it 
revolves by itself of its own momentun. 

At the time when the reversal of rotation takes 
place, human life experiences great changes. The course of 
life itself reverses, and the old grow younger and younger 
become children and finally wither away (270 e). On the 
other hand, the race of eartheborn men, long dead, now are 
reborn out of the earth, as they were in the former 
rotation (271 ¢c). 

Since a reversal of motion takes place at both the 
restoration of proper motion and at the onset of reversal, 
the Stranger tells about the time when the universe was 
helped in its rotation by the god. In that era, all things 
came about without men's labor. When this god was shepherd, 
there were no political constitutions and no personal 


possession of wives or children, since all men rose up 


130 
fresh out of the earth with no memories. (This is the 
analogue of the "waters of forgetfulness" in the myth of 
Er). Neither did they need clothing or beds but disported 
themselves in the open. Such was the reign of Kronos (272b). 

"The crucial question is-did the nurselings of Kronos 
make a right use of their time" (272 b)? They certainly had 
the opportunity to engage in philosophy, since they had 
the requisite leisure, and if they did, their happiness 
would be a thousandfold greater than ours. "Be that as it 
may, let us leave this question aside until we find some~ 
one (Timaeus?) who can inform us accurately whether or not 
their hearts were set on gaining knowledge and engaging 
in discussion" (272 a). 

When the era of Kronos came to an end, the drastic 
experiences of reversal of motion again took place. The 
god released his helping hand and a great shock went 
through the earth. It tried to follow out the instructions 
given to it by its father, but gradually the bodily element 
gained sway, and it approached the primordial chaos out of 
which it had been fashioned (273 b). At this moment, the 
god again beholds it, and seeing its time of trouble, again 
resumes the helm. 

But we are not now in the era of Kronos. It has now 
been ordained that the universe must take sole responsibil- 
ity for its course, and, following and imitating the change 
in the universe, all things have to change, and, in 


,particular, a new law of birth and nurture is now binding 


131 
on all creatures (274 8). Since we do not have this 
guardianship of the god to follow, but, “imitating the 
universe and following it through all time, we live and 
grow at one time in this way and at another time in 
that” (274 e). As we shall see, the Timaeus advances beyond 
these doctrines, especially beyond this particular doctrine 
of necessity. 

The relevance of this myth to the definition of the 
Statesman is now revealed by the Stranger. Since there are, 
in either era of rotation, men who were sired in the former 
era, we must be careful to look for the right models of the 
Statesman. In the era of the gods' rule, the shepherds 
experience no strife, since all is in harmony; but in the 
subsequent era, the shepherd is forced of necessity to care 
for a strife-torn flock. Which of these is the Statesman 
most like (275 a)? 

Before answering this, let us note that there are 
several features of the myth of Kronos, as the Stranger 
composes it, which pertain to our tracing the themes of 
time, image, and eternity. We are told that the unlverse 
is framed by inserting order into chaos, that time is 
governed by the motion of the revolving universe, and that 
the bodily element is the cause of the corruption and decay 
of an era. This would seem to reverse the claim of the 


mature character of the Statesman, since it resembles the 


doctrine of bodily imperfection, an early doctrine. However, 


132 
it 48 a children's tale, and, as we shall see, Plato will 
not allow it to pass without criticism. The most important 
feature, for our purposes, is the intimacy with which the 
notion of right rule is connected with the right time and 
the right revolution of the spheres. We have come far from 
the bland assertion that there is a single pattern laid up 
in heaven which he who is willing can easily discern. Now 
we are charged with the need to see how right order in the 
state is dependent on the order of the heavens because they 


are linked by time. We should further note the Statesman's 


anticipation of the Timaeus in its description of the 
demiurge and the world soul in the universe described as a 
living creature. 

It emerges that the whole reason for the recounting 
of the Kronos myth was to show that the first image of the 
Statesman was incorrect, because it really represented a 
Statesman from the wrong cosmic cycle, innapropriate to 
the cycle we are now following (275). The shepherd of the 
other cycle is much more like a divine shepherd, whereas our 
cycle seems to produce tyrants. Even so, the myth of Kronos 
4s insufficient, and it is said to be too long. It was 
assumed that a grand myth was necessary, as fitting kingly 
responsibility, but, as usual, we went too fast in our 
haste to arrive at a definition (277 b). 

The Stranger admits that it is difficult to explain 


anything without the use of examples, and he is now in the 


133 
strange predicament of using examples to explain his 
doctrine of examples (277 d)! The familiar pedagogical 
device of the alphabet is again resuscitated, and the use 
of known syllables next to unknown syllables is put forward 
as an instance in which similarities and differences can 
be distinguished (278 b). Our own mind reacts the same 
way to the letters with which the universe is spelled out. 
(Again, the cosmological concern) The Stranger admits 
however, that notwithstanding his familiarity with the 
letters in one combination it is difficult to recognize 
them in another setting (278 d). 

Another analogy is introduced, and this time it is 
the weaver's art. A long semi-technical discussion of 
weaving arrives at the fact that the weaver is a uniter, 
but he needs the carder, who separates fibers, so that the 
weavers art consists of both separating and combining (283b) 
In other words, the proper art of dialectic consists in the 
skillful handling of both the warp and the woof of being, 
or, as we saw in the Sophist, the correet analysis of 
being and not-being. It is noteworthy that the Stranger 
here, as he did in the Sophist, agrees to supply the 
divisions, or else the argument would have become intermin- 
able. Here 1s another hint that he who uses the method of 
division must know in advance where he is going, a point 
which the men of flux advanced. But, instead of confronting 


this objection head-on, the Stranger attacks it from 


134 
another direction; through the question of relative 
measure, of excess and of defect. 

It is quickly ascertained that if the greater is 
greater only by relation to the smaller, and the smaller is 
smaller only by relation to the greater, there is no way 
to say what is right in itself (283 e). Therefore, there 
must be a standard of wieaeuse to which they both approxi- 
mate in some way. (And so the Forms are reasserted). In the 
same manner, if there were no standard, there would be no 
way of dividing the unjust from the just man, nor, for 
that matter, would it be possible to discern the right 
practice of any art. "Must we not do now what we had to do 
when we discussed the Sophist. We felt constrained there 
to admit that what is not-x nevertheless exists..." (284 b) 
So there must be two standards of measure, one having to do 
with measures relative to each other, and the second those 
which “comprise arts concerned with due measure, due 
occasion, due time, due performance, and all such standards 
as have removed their abode from the extremes and are now 
settled about the mean" (284 e). This seems to refer to 
the Pythagoreans, who assert that measure has to do with 
all things brought into being, but who fail to see that 
there are two sorts of measure, and who therefore are 
prohibited from seeing that there are real classes of 
things with affinities for one another, just as there are 
real differences between some things which therefore have 


no affinity for one another (285 a,b,c). It is necessary 


135 
to divide according to real classes, not merely to divide 
every item from every other. This is another recapitulation 
of the Sophist: only some forms communicate with each 
other. 

This view is asserted in another way when the Stranger 
says, 

Some of the things that have true existence and are 

easy to understand have images in nature which are 

accesible to the senses, so that when someone asks 
for an account of any one of them, one has no 

trouble at alleone can simply point to the sensible 

image and dispense with any account in words. But 

to the highest and most important class of existents 

(being) there are no corresponding images, no work 

of nature clear for all to look upon (285 e). 

In short, the classes of being have images, but being 
itself does not. The important political corollary of this 
becomes evident in the Stranger's description of the 
unlikelihood of the many ever achieving the art of state- 
craft, since the true science of statecraft is like the 
true science of being: it has no images, and it would be 
quite out of the question to look for fifty kings at any 
one time (292 e). 

It 4s important here to comment on what has been 
said about the lack of images of being, for, at first 
sight, it seems to contradict the trend we have been 
tracing through the late dialogues. Plato has told us (in 
the Sophist) that only some of the classes of being 
communicate with each other, and he reminds us of it here. 


When he says that there are no images of being, he seems to 


(Mean, that there are no sensory images for the sort of 


136 
pure unmixed being which Parmenides described. But we have — 
already seen another sort of being in the Sophist. The 
lack of images, then, pertains to the classes of being, 
not to being as such nor to beings as such. 

I do not wish to enter into a lengthy exegesis of the 
Statesman concerning law and political philosophy. Let it 


suffice here to write that the Statesman should posess the 
true art of law-making, that this art depends on his real 
knowledge, of which the laws will be images, and that he 
shall have to weave the special knowledge of the special 
departments of life together as best he can, for he can best 
do so. Those who follow those laws, and who know them to be 
images, live in Justice. Those who follow the laws and do 
not know they are images, at least follow a just life 
unknowingly (291-300). 

The final task of the dialogue is to describe how 
the life of the state is woven by the Statesman. We are 
confronted with the daring statement that the virtues which 
comprise the state are, in contradistinction to those 
described in the Republic, not at harmony with each other, 
which means that the several parts of goodness are actue 
ally not in accord (306 c). What is the Statesman to do 
about this? He is to establish a training program to 
bring out the best qualities of future citizens, some of 
whom will have opposite virtues. He weaves both sorts into 
the fabric of the state, some forming the warp and some 


_ forming the woof. This training program "first unites that 


137 
element in their soul which is eternal, by a divine bond, 
since it is akin to the divine. After this divine bond, it 
will in turn unite their animal nature by human bonds" 
(309 b). In short, the Statesman will implant in every 
citizen in the state what we would call a sense of values, 
whether they understand them to be of eternal origin or 
not, and he will accomplish the insertion of this warp by 
a clever weaving of the woof, the human element. In this 
way, citizens will at least imitate, albeit unknowingly, 
their right measure and true standard. More specifically, 
the Statesman will require those who give evidence of 
divine wisdom to intermarry with those who seem without it, 
and so interweave the divine and the human. Thus for 
example, instead of inbreeding a race of warriors who will 
eventually get out of hand by sheer power of zeal, or, on 
the other hand, inbreeding a race of perennial moderates 
who never dare to invent, the Statesman will see to it 
that there are cross fertilizations of these two breeds. 
In this way the best weave is had, which marries the 
gentle to the brave. Socrates ends the dialogue by saying 
"You have drawn to perfection, sir, the image of the true 
king and statesman" (311 c). 


Summary 
After a rather comical beginning, the Statesman 


quickly discards the first definition of the Statesman. 
The Myth of Kronos is put between it and the next attempt, 


Ls 


138 


‘and ita results are that the Statesman must have a real 
knowledge of the rotation of the universe in order to 
ascertain the right time for the right kind of image of 
the ruler. There are certain necessities of cosmic motion 
which must be imitated in the ruler's art. The Pythagoreans 
are chided for their remorseless division without regard 
for real classes and true dialectic. 

But perhaps the clearest indication of Plato's 
development of the themes of eternity, image, and time in 
this dialogue is to be found in the view that the true 
Statesman is he who weaves the being and notebeing of 
opposing virtues into the fabric of the state, an eternal 
warp and a temporal woof, which are to be interbred via 
marriage across real classes. 

wo themes stand out as clear anticipations of the 
Timaeus: the concern for cosmological time, in the myth 
of Kronos, and the introduction of the sexual allegory, 


which, as we shall see, in the Timaeus, is generalized. 


However, before we reach the Timaeus, we must see 
how the Philebus treats these themes. 
The Philebus 


If one approaches the Philebus with the expectation 
that it will deal with some of the topics of the Statesman 
in a more developed manner, its opening passages seem to be 
anachronistic, for the dialogue begins with a discussion of 


the relative merits of pleasure and wisdom (11 a), subjects 


139 
discussed in great detail in the Republic. But it soon 
becomes apparent that the discussion will be anything but 
a simple repetition. For example, when Socrates asks 
whether there might not be a third state even better than 
pleasure or wisdom, or whether some mixture of the two is 
preferable, we see that the theme of mixture, as introduced 
in the Sophist and evolved in the Statesman, is actually to 
be reexamined in the context of an ethical inquiry. 

It is agreed that there are many pleasures, each of 
which differ from the others. This simple observation 
serves to reintroduce the problem of the One and the Many 
on an ethical level, and with this reintroduction, we will 
be confronted with the modifications and developments which 
the subjects of pleasure and wisdom must receive in the 
light of Plato's later reflections. hus, 1t is agreed 
that unity and diversity of pleasures is "the same old 
argument" (13 c). Somehow, the unity and diversity of 
pleasure must be understood, not in the old way, but in a 
new way. ‘he key to the new way is the principle of 
Difference. 

It is said that this principle of Difference is a 
marvel of nature because it asks us to affirm that "one 
would be many or many one” (13 e). No one any longer argues 
that it 1s marvelous to assert that Socrates is many and 
one because he has many limbs but is only one Socrates: 


everyone has agreed to dismiss this as childish (14 d). 


is 


140 


Here the initial impression of anachronism fades 
completely, for the passage clearly asserts that it is 
childish to continue to play on the words “one” and "many" 


now that the Parmenides and the Sophist and the Statesman 


have advanced so far beyond this verbal naivete. He who 
asserts that the One or the Beautiful or the Good have a 
real existence which in some way is beyond generation or 
destruction, introduces a problem of far greater import 
than the problem of matching names and things (15 a). For, 
if these Forms are real, and if they are always the same, 
or if they are said to have a permanent individuality, he 
who asserts these propositions is dealing with matters of 
greater depth than seems at first apparent. In the same 
way, if one asserts that these Forms can be dispersed and 
multiplied in the world of generation and the endless 
number of things which compose this world, he involves 
himself ina difficulty, for he seems to assert that the 
Forms are at once what they are in themselves and at the 
Same time in the world of many things (15 c). In short, 
he who asserts that there are many pleasures and who says 
at the same time that Pleasure is a One, involves himself 
in the difficulties of "the old argument" and since the 
old argument has not been resolved, one cannot pretend 
that it 1s a simple assertion when he says that there are 
many pleasures, all of which are Pleasure. 

To put the matter in our own way, we should say that 


(the statement "there are many pleasures, each of which 


144 
shares in the idea of Pleasure" involves all of the 
aifficulties which Plato has been examining in the 
Parmenides, the Sophist, and the Statesman. In short, we 
are confronted with nothing less than a philosophical 
summary of the problems and doctrines which Plato confronted 
in the late dialogues. 

Notice that it is openly admitted that the verbal 
assertion of both the unity and the diversity of Socrates 
is "childish," and no longer a cause for wonder. The whole 
world is said to know this now. Plato seems to be saying 
here that there are deeper issues at stake than the 
linguistic gymnastics these issues first created. True, 
these questions will be discussed, but their resolution 
will take place on a higher plane than it had heretofore. 
As usual, Plato begins a difficult investigation by 
focusing on the practical face of the deeper problem. Notice 
too that these questions about pleasure and wisdom are not 
mere allegories or childrens’ stories; they are the points 
of departure. Plato intends, as we shall see, to apply 
the method of division, which he has been perfecting in 


the Sophist and the Statesman, to the questions of ethical 


import involved in a discussion of pleasure and wisdom and 
their relative merits. But in addition to applying the 
method, he will perfect it further, and greater insight 
4nto the method as well as its applicability will be 


reached. It is no longer possible to begin with the simple 


142 
separation of the One and the Many, because the method 
of division has gone beyond this level of simplicity. 

The One and the Many, therefore are said to "run 
about everywhere together, in and out of every word" (15 a} 
Therefore, we must not divide too quickly between the One 
and the Many, or run too quickly from the Many to the One. 
The endless number of the Many is a kind of infinity, that 
is, a lack of determined specificity, or, in another sense, 
& vague and indefinite formlessness. 

The infinite must not be allowed to approach the 

many until the entire number of species 

intermediate between unity and infinity has been 

found out-then and not until then may we rest 

from division (16 e). 

The familiar analogy of the alphabet is offered, and 
it is agreed that every sound we utter is both one and 
infinite, that is, a sound is at once just this sound, 
but in another sense it is only a sound, which by itself 
has no meaning, just as letters by themselves have no 
meaning until they are related to each other in words. But 
the precise knowledge of the number and nature of each 
sound is the special province of the grammarian (17 b), 
just as the precise knowledge of tones and their intervals 
4s the province of the musician (17 c). 

In this way, Plato seems to say quite clearly that 
the way to knowledge is neither the addition of elements 
to each other without regard to the kinds of relations 


these elements must have to be intelligible, nor the 


143 
simple recitation of the name we give to them to create 
the appearance of their simple unity. 


Since these themes were treated in the Statesman 


it seems reasonable to place the Philebus after it. It was 
necessary to insert this point here because the degree of 
unanimity with which the scholars agree that the Statesman 
succeeds the Sophist 1s not had in the placement of the 


Philebus after the Statesman. It seems now that the Phile- 


bus can be read more intelligently by placing it after the 
Statesman but before the Timaeus, but we shall have to see 
whether this is true after reading the Timaeus. 

The method of division, as developed in the Statesman, 


is summoned here in the Philebus to do service in the 


quest for the nature of pleasure and the nature of wisdom. 
We have seen that Plato regards Unity as the dialectical 
opposite of infinity, which, for him, means the indetermin- 
ite vagueness or an unspecific description of an element, 
without some account of its manner of relation to its 
fellows. In this respect, it is striking to note a brief 
allegory of the god Theuth, whom the Egyptians describe as 
the author and divider and enumerator of sounds in music 


and grammar (18 ad). As we shall see, the Timaeus will test 


the method of division on a cosmic scale in a tale similar- 
ly attributed to an Egyptian priest. 
In any event, the problem now is not merely to 


assert the unity and the infinity of number, or pleasure, 


144 


or wisdom, but to ascertain the kinds of each, and, by 
implication, the Unity, Likeness, Sameness and the oppo- 
sites in everything (19 b). Whereas Socrates once preferred 
to discuss the Forms and to avoid the realm of things, he 
does not fear to enter into this latter problem now, 
because, just at this instant, some god appears to have 
given him a new memory (20 b). 

Socrates quickly convinces Philebus that he would 
not even have full pleasure if he did not also have mind 
and aenery and knowledge, because, without them, he would 
not know whether he was experiencing pleasure. Similarly 
if he had no memory he would not remember pleasure, which 
4s also pleasant, nor, without “true opinion" would he be 
able to perceive present pleasures. In the same way, had 
he no knowledge, he would be unable to calculate future 
pleasures (21 b). Similarly, a life of mind without 
pleasure or pain would be unfeeling. Therefore, somehow we 
must have both in a union, which is a kind of third (22 a). 
But, on this account, neither pleasure nor wisdom can be 
the good, which was decided (at 19) to be the most perfect. 
Socrates exempts divine mind from this refutation, admitt- 
ing only that human minds are excluded from exclusive 
posession of the Good (22 c). For, the divine mind may 
turn out to be the cause of the three, and, in that case, 
4t will be a fourth. There may even be a fifth, but that 
will be discussed later. 


145 

When we say something is hotter or colder, we make : 
& comparison, and such comparisons are always relative, 
admitting of degrees, and this is an endless business 
because such measures suggest no way to establish a stable 
measure. Thus, the class of all such comparatives includes 
an infinite, i.e., an unlimited number. However, the class 
of unnumbered things itself is the unity of such compara- 
tives (25 a). On the other hand, its opposite, the class of 
all numbered things, admits quantity and is therefore 
finite, or limited, and here too, the class itself is the 
unity of these (25 b). 

Now, let them be mixed and let the offspring of 
these two classes be inspected. For out of their union 
comes a third class which has been generated by their 
mixture, and it includes all things so generated by the 
limitation of the unlimited (26 d). Further, the cause of 
thie union is not the same as any of the three classes so 
achieved, and it therefore must be a fourth class (27 b). 
The problem is to ascertain which class pertains to mind, 
for, obviously, pleasure is of the first class since it 
always admits of degree. In this regard, the question is 
raised: 

ee eWhether all of this which they call the universe 

is left to the guidance of an irrational and random 

chance, or, on the contrary, as our fathers have 

declared, ordered and governed by a@ marvelous 

intelligence and wisdom...Wide asunder are the two 

assertions, Socrates, for that which you are now 


saying is blasphemy; but the other assertion, that 
mind orders all things, is worthy of the respect of 


146 


the world, and of the sun, and of the moon, and 
of the whole circle of the heavens;...(28 da). 
Here, quite obviously, is a clear anticipation of 


the Timaeus. In addition, we are next presented with an 


analysis of the elements of bodies, which are said to be 
the traditional fire, air, water and earth, and, just as 
before, the mere enumeration of their discreteness does not 
explain their unity, for they are united in a body (29 ad). 
The further point is that the universe too consists of 
these elements but it too is a unity. And of course, it 
would be folly to assert that the unity of the universe 
depends on our bodies; rather, we depend on its unity. The 
analogy is carried further, because we know that we have 
souls, and, in the same way, we must assert that our souls 
depend on the soul of the univeree. Further, as bodies 
consist of four elements, so the four classes previously 
discovered may be considered as these elements; that is, 
the unlimited, the limited, their offspring, mixture, and 
the cause of their union, are in fact the true meanings of 
fire, air, earth and water. The universal fire which 1s 
the cause of our fire is the hidden meaning of mind as 
the cause of the universe (30 d). So we must conclude that 
the universe consists of four elements and that we are 
similarly constructed, and our construction depends on its. 
Fire, earth, water, and land correspond to the 
unlimited, limited, mixture and cause. It is not said 


le 


147 
which elements correspond to which elements, but it is 
clear that mind corresponds to fire, both in us and in the 
universe, It goes without too much comment that this 
doctrine goes beyond a simple Heracliteanism or Pythagore- 
anism or Anaxagoreanism, or Anaximanders3anism. It is, in 
my view, the seed of the more exact and detailed view 


which we shall find in the Timaeus. 


In the remainder of the dialogue, there is a delin- 
eation and cross comparison of the types of pleasure and - 
pain, including the cognate emotions, and desires. It would 
be tempting to enter into a detailed commentary on this 
section of Plato's philosophy to show some of its origins 
or that certain doctrines of the modern giants of depth 
psychology are deeply in Plato's debt. However, our purpose 
here is to trace three themes insofar as Plato treats them 
explicitly. Perhaps a short summary will not be too defic- 
ient. 

Just as there are four classes of elements which 
enter into the composition of the body and of the universe, 
so there are four classes to be discerned in the discussion 
of pleasure. However, it is more complicated here, since 
there are four classes of pleasures, four of pains, four of 
emotions, four of desires, and the intermixture of each of 
these with every other gives rise to innumerable variety. 
Plato himself does not even attempt an exhaustive treatment 


What is significant for our purposes is the treatment of 


148 
memory and perception. We saw in the Sophist and the 
Statesman that certain images could be false while others 
could be true. In the realm of feeling, the feelings 
attendant upon true or false images will be corresponding- 
ly true or false. Thus Plato develops the significant 
ethical dictum that pleasures (or pains or emotions) 
though felt, may be false. We meet again the artist in the 
soul (imagination) which sometimes correctly and sometimes 
incorrectly inscribes the memory-images of past, present, 
and future experiences (39 a). Thus, the question of images, 
irrevocably linked to the tenses of imagination, is, in 


the Philebus, introduced into the discussion of pleasure, 


pain, and emotion. Again, since the number of combinations 
of pleasures, whether unlimited, or limited or mixed or 
causative, is innumerable, the multiplication of this 
innumerable number by the three tenses adds an exponential 
4nnumerability. Had he wanted, Plato could have trebled 
and then quadrupled the exponent by the introduction of 
the intermediary tenses of becoming, and then quintupled 
the whole by using the middle voice of his native grammar. 
However, he assures us that he has not forgotten his own 
former dialogues, when he says "...for any class to be 
alone and in perfect solitude is not good nor altogether 
possible” (63 b). 

The end of the dialogue, interpreted in the light 
of the gradual growth of Plato's thought through the late 


tee 


149 
group, is striking, for it asserts unequivocally that . 
neither mind and wisdom nor pleasure and pain are simply 
superior to one another: there must be mixture. Formerly, 
mind and knowledge of the forms would have been indubitably 
best; now, mixture is necessary. However, this is not to 
be interpreted as a simple linear progression, because, as 
we shall see in the Timaeus, what is necessary and what is 
good are not due to comparable causes and are not therefore 
subject to the same criterion for choosing which is better. 
It may well be that what is better is unfortunately not 
what is necessary. 


Summary 
There are unmistakable hints in the Philebus that 


the dialogue which succeeds it will take up certain strands 
of Pythagorean logic and develop them further, as for exe 
ample the whole question of the manner in which the cause 
of mixture accomplishes its business, or, as another 
example, the application of the method of division to the 
universe, which was only briefly and partially done in this 
dialogue. 

This much, however is certain. ‘he Philebus begins 
with the extension of the method of division to the realm 
of pleasure and knowledge of pleasure. The purist position 
that either pleasure or mind must be affirmed as the best 
is abandoned as "childish" and as an "old argument," which, 


it is agreed, no longer captures philosophic interest. 


150 

‘The isolated eternality of the forms, modified by the 
Sophist and the Statesman, is further modified by the 
assertion that pleasures or any Form or class cannot be 
both good and alone. | 

Lastly, the familiar doctrine of the aviary of images 
4s maintained, and developed insofar as it is now employed 
to explain the basis of false pleasures, feelings, and 
emotions. A beginning is made into the physiology of 
reminiscence and an intimate connection is drawn between 
such a physiology and the first outlines of a concrete 
cosmology. For this intimate connection and a fuller 
description of the relations between a psychogeny and a 
cosmogeny, we must look to the Timaeus. 


Summary of the Chapter 
Tracing the hypothesized modification and development 


of the tripartite theme of eternity-image-time through 
the Republic, Parmenides, Theatetus, Sophist, Statesman, 


and Philebus, it emerges that Plato's treatment of these 
topics is not a simple linear progression. I think I have 
shown that these themes are, in fact, treated together 
wherever discussion of any one of them is broached, and 
that to speak of one involves the need to speak of. the 
others. 

From the eternal realm of the Forms and the shadow-~ 
like copies of them in the Republic's cave, we saw the 
initial doctrine of the Forms of the middle dialogues 


151 
subjected to the criticism of the Parmenides. There we are | 
told that the naive view of the Forms as separated from 
what appears to us leads to logically untenable positions, 
from a series of unreal instants to hypostasizing none 
existence. A hint of the doctrine of notetime emerges. ‘the 


Theatetus informs us that we must examine the reality of 


moving images, as if the results of perception were flying 
birds in an aviary-like memory. the Sophist examines note 
being and concludes with the extraordinary assertion that 
notebeing in some way is, so that the artificial separation 
of the world into what is either eternal or temporal, 
agreed to be inadequate in the Parmenides, is now shown, 
not only to be inadequate, but to be impossible. Things 

are not isolated absolutes sharing in isolated absolute 
Forms, for images have their own sort of reality. The 


Statesman acknowledges that this reality of images must be 


generalized beyond a psychological doctrine, and implies 
that there might well be cosmic images, which are better 
and more intelligible than the myths and fables of the 
historical story-tellers. The Philebus shows that there 
are far-reaching ethical implications of this doctrine, 
and especially, leads to a discussion of the cause (s) 
of mixed classes and mixed realities. 

In short, from an initial position which asserted 
the realm of Forms to be eternally separated from the 


world of moving images, Plato comes to assert that moving 


152 
images have a reality which is in no way to be despised or | 
neglected in favor of a naively-viewed eternity. The world 
of time and the moving images in it cannot be intelligently 
separated from the eternal. 

This is not to say that the eternal and the temporal 
are the same world, or that a simple blending or a denial 
of existence to one or the other is Plato's conclusion. On 
the contrary, only by the careful dialectical investigation 
of the differences between eternity and time can their 
relations be spelled out with any philosophical accuracy. 

However, it remains to spell out this relationship 
of Forms, images, and times. To qualify as a genuine 
evolution, such a treatment will have to synthesize all 
that has gone before, in a way which will not excise any 
real progress made before it. This means that there will 
have to be a discussion of the psychology of knowledge as 
well as a cosmology of being, and that these two preponder- 
ant interests will have to be united in a way which spells 
out their intimate relation. This is exactly what the 


Timaeus will do. If the Timaeus accomplishes this task, 


4t follows that the Timaeus should be regarded as a later 


dialogue and that we should find in it a new synthesis of 


the doctrines of eternity, image, and time. 


CHAPTER IV 
THE TIMAEUS 


I The Introductory Conversation (17a-27b) 


We have seen in the foregoing two chapters that the 
Timaeus-Critias-Laws is the last group of writings to which 
Plato devoted his attention. The argument was divided into 
two logically interrelated parts: first, tradition, 
stylistic researches, biography, and autobiography led to 
the conclusion of the second chapter that the Timaeus was 
actually written late; second, the gradual modification and 
development of the doctrine of the middle period, as 
exemplified by the Republic, was traced through the 
Parmenides, Theatetus, Sophist, Statesman, and Philebus 


in the third chapter. We shall now investigate how the 
Timaeus synthesizes the themes of eternity, image, and 
time in a new and more unified way. 

Because of the sheer bulk of commentary we shall 
make on the doctrines of the Timaeus, the reader will find 
two chapters devoted to this last Aiatoeue: The present 
chapter deals with the introductory remarks to the dialogue 
and to the introductory remarks which Timaeus delivers as 
a prelude to his rather extended monologue. The next 
chapter examines the relations of eternity, image, and time 
in the light of the purposes which the introductory pore 


tions of the dialogue reveal. The introductory remarks 


> 


154 
“found in the Timaeus set the foundations, not only for 
Plato's later philosophy of time but also for the function-~ 
al significance this philosophy has in relation to Plato's 
view of the best possible society. 

The first hint that the Timaeus will interest itself 
in temporal questions comes in the list of persons who are 
scheduled to hold the dialectical conversation. We know 
that Critias was the name shared by Plato's grandfather 
and his greategrandfather, His grandfather was a poet in 
his own right and a collector of constitutions, and his 
greategrandfather was associated with Solon. | We note that 
Hermocrates, a general famous for his defense of Athens and 
for his attempt to establish a just regime in Syracuse, is 
also scheduled to speak. We note the presence of Socrates, 
who has spoken relatively little in the late group of 
dialogues, but who reappeared in the Philebus. And finally, 


we note Timaeus of Locri, an Italian city well-governed by 
Pythagoreans. 

Here is a strange assembly; Critias is a very old man 
of considerable political experience in Athens; Timaeus is 
a Pythagorean Stranger who is in Athens for the festival 
of Athena; Hermocrates is an Athenian general distinguished 


in the Peloponnesian War; and we note that Socrates is now 


' AVE. Taylor, Plato: The Man and His Work, p. 2. 


2 Cornford, Plato's Cosmology, p. 2. 


155 
described as a very old man. One might almost conclude 
from this cast alone that questions about the morality of 
ancient Athenian politics will be discussed. 

Socrates opens the dialogue. His discussion of 
"yesterday" ia a "recapitulation"” of some of the doctrines 
of the Republic, (books II-VI) namely, the description of 
the farmers, craftsmen, and guardians who make up the 
"best form of society” (17c). The occupational specializa- 
tion which alloted one and only one role to each individual 
citizen because he was best fitted for one and only one 
role, is restated as a reminder of "yesterday's conversa- 
tion." The statement is made that this brief recapitulation 
leaves nothing out and is an exact description of the 
contents of yesterday's conversation. Thus, one should 
not conclude that this recapitulation includes the entire 
contents of the Republic, for this would create a manifest 
contradiction. The Republic conprises ten books, much of 
which are not recapitulated here. Quite obviously, some- 
thing has been left out, and Socrates implies clearly that 
he intends to discuss only those doctrines which he has 
summarized above. One might add, however, that the recapit~- 
ulation does deal with those doctrines of the Republic 
which are central to the whole dialogue, namely, the 


occupational specialization of three classes of citizens, 


3 Gauss, Philosophischer Handkommentar zu den 
Dialogen Platos, p. rey 


156 
‘who do not mix the functions of the others into their own 
allotted lives, just as the Forms on which their respective 
perfections are based do not mix or combine. 

Socrates says that the description of these citizens 
(of the Republic) makes him feel like "a man who has been 
looking at some noble creatures in a painting, or perhaps 
at real animals, alive but motionless, and conceives a 
desire to watch them in motion and actively exercising 
the powers promised by their form" (19b,c). 

Two features of this statement are particularly 
remarkable. First, we notice Socrates’ apparent indecision 
as to whether he is looking at a painting (a mere copy) or 
at real animals who are motionless ( a genuine image but 
motionless). Second, it is unusual to see Socrates admit 
his inability to extract the doctrine he seeks through his 
accustomed midwifery. These aspects of the introductory 


conversation hint that the Timaeus will attempt to go 


beyond earlier Socratic positions. 

Socrates goes on at some length to spell out his 
precise inability, and he connects it explicitly with the 
firmness of his aged opinions about the poets (19d), 
although he stated in the Theatetus that he had no opinions 


of his own. He says that he does not mean to imply that he 
has @ lowly opinion of the poets in general (which he had 
in the Republic) but he feels now that the good imitator 
(there are none such in the Republic) should be familiar 


157 
with the surroundings which he is going to imitate (19e). 
On the surface, this statement pertains to the history of 
ancient Athens; allegorically, it says that Socrates' 
viewpoint is not the one to be followed in this dialogue. 
Socrates does not usually speak of genuine imitation, for 
this sort of imitation is introduced by the Stranger in the 
Sophist. Just as the Sophists move about from city to city 
too often, and do not remain in any one city long enough to: 
become familiar with it, so Socrates is said to be unfamil- 
iar with the matters about to be discussed. Plato seems to 
say here in the gentlest way that he has great respect for 
his old teacher but that Socrates' viewpoint is not the 
most fruitful one for his present concern. 

Timaeus, however, is a well-born citizen of Locri, 
which is a well-governed state, so he is better qualified 
to discuss the constitution of the society which Socrates 
would like to see in motion. Timaeus is better suited by 
reason of his philosophical training, and, in addition, he 
has the necessary qualifications for statesmanship which 


were described in the Statesman. 


Hermocrates sets the foundation for the discourse by 
telling us that Critias remembers a story which bears 
directly on the trend of their discussion. It is a story 
of ancient Athens and the way she conducted herself in 
ancient times. It is said to be true on no less authority 
than Solon's own words, since Solon himself is said to 


have told the story to Critias' grandfather. The story had 


158 
been forgotten through lapse of time and the destruction of 
human lives by a catastrophe (20e). 

Socrates inquires why the tale was not recorded, and 
Critias tells him that Solon had been forced to lay it 
aside because, after he had returned from Egypt, there 
were too many troubles in the city (21c). (If it is true 
that Plato himself traveled in Egypt, this statement might 
be interpreted as Plato's own excuse for not writing the 
Timaeus sooner because of the difficulties he himself 
experienced on his own return to Athens. The awe with 
which the origins of Athens would be regarded by its 
citizens would confront a writer of new legends about 
Athens with the need for a great deal of caution, and the 
reservation that there were too many political difficulties 
would serve as an excellent excuse, should Plato have felt 
the need for one). 

Thus, the story of ancient Athens was not lost only 
because Solon did not have time to write it but also 
because of the intervention of a catastrophe which destroy- 
ed the actors in the drama. Solon says, however, that 
when he himself was travelling in Egypt, he was received 
with great respect, because the Egyptian priests who knew 
the ancient history of Athens claimed that there is a kin- 
ship between Athenians and Egyptians, and they even said 
that the name of their own city-god is the Egyptian word 
for Athena (21e). Solon was of course interested to hear 


about Athenian antiquity, and recounted for the Egyptians 


159 
the venerable legends with which he was familiar. 

But the Egyptian priest sighs with benigh patience, 
and says, "Ah Solon, Solon, you Greeks are always children; 
in Greece there is no such thing as an old man" (22b). 

This would be an interesting remark no matter what 


the chronology of the Timaeus, but, since the Timaeus is so 


late in the series of late dialogues, the remark becomes 
crucial. Several times in the preceding dialogues, the 
childishness of certain opinions is mentioned, and the 
rigours of dialectical discipline are extolled as the only 
remedy. In the Parmenides, Socrates' youth is blamed for 
the naivete of the early form-doctrine (130) and in the 


Theatetus (175) Socrates himself chides Theatetus for his 


youthful impatience. Plato used this form of criticism 
increasingly in the late dialogues, during which he came 
to realize that a certain maturity is prerequisite for 
right philosophy. Now we are told that no amount of indi- 
vidual or personal maturity is of consequence for the 
Greeks, for collectively they are all children. Here is a 
very definite indication that the sort of knowledge which 
Timaeus will put forward is not reachable by that hereto- 
fore most favored of philosophical paths, the doctrine of 
individual, personal reminiscence. In short, reflection is 
only the source of some knowledge, not of all. Taken in 
conjunction with the stated purpose of the dialogue, that 
is, the conditions of the best society, it delivers a 


- fatal blow to the Socratic procedure of questioning 


160 
contemporaries. There are some things about which 
contemporaries have no knowledge, and it is necessary to 
know these things in order to describe the best society. 
One needs to know the origins of a society, and it is 
probable that one's contemporaries do not know this. This 
is precisely the difference between memory and history, and 
it constitutes a significant expansion of doctrine beyond 
the earlier dialogues. In earlier dialogues, myths were 
presented to perform the function of carrying the individ- 
ual memory beyond its contemporary confines, but we saw 
in the Sophist that these myths (not all myths) were 
"childish." 

In short, more than the maturity of the individual 
person is required for true knowledge of the best society; 
the best society requires its citizens to have a knowledge 
of its origins; allegorically, this translates into the 
need for a society to know its ultimate origins, and it is 
this interpretation which makes the Timaeus' relation of 
cosmology and sociology intelligible. In the process of 
tracing the historical antiquity of Athens, the Timaeus 
will discern the origins of the whole cosmos. As history 
includes memory, so cosmology includes sociology: this is 
the import of Timaeus' tale. And in both aspects of the 
proportion, the cardinal issue is the "amount" of time 
involved. 


Solon, however, does not understand the appellation 


161 
“children, " and inquires what the priest means when he says 
that he, Solon, an old man, is a "child." The priest 
explains that there are periodic catastrophes due to tem- 
porary deviations of the celestial bodies from their regular 
orbits, and that, at these times, the deviations bring 
about floods. These floods wreak havoc on most people but 
the Egyptians are saved by their irrigation system. + For 
this reason, the Egyptians have been able to maintain a 
continuous record which covers a period of 8,000 years, 
but the Athenians were destroyed in one of these periodic 
catastrophes, and therefore have no continuous records. 
Thus they had to begin afresh, like children, to trace 
their origins (22b-23d). 

Solon is astonished, and asks for a more complete 
account of ancient Athens. The Egyptian priest responds 
willingly, saying that it is good for the city for him to 
tell the story. He says that Athens was founded by the 
goddess a thousand years before Egypt was founded, which 
means 9,000 years ago. Thus, according to the priest 
Solon's stories are nothing more than nursery tales since 
they recount only one deluge, when in fact there have 
been several. Furthermore, the priest says that the 
Athenians were once counted among the bravest of people in 


the era just before the last catastrophe, and that present 


4 Cornford, op, cit., appendix, p. 365. 


162 
‘Athenians are descended from their seed. (24) 

The priest describes the Egyptian caste system of 
priests, craftemen, and soldiers, in which system each 
class performs one and only one function, and he adds that 
these contemporary Egyptian institutions are continuous 
with those olden days when the goddess instructed both 
Athens and Egypt in these ways. Furthermore, the laws of 
Egypt are said to reflect the “order of the world, deriving 
from those divine things the discovery of all arts applied 
to human affairs..." (24b). As we shall see, this is almost 
how Timaeus will describe the origin of all human arts. 

There are other records which pertain to Athens, and 
the priest decides to inform Solon about one exploit in 
particular, the greatest which Athens ever performed; it is 
the fable of Atlantis (24e). The story recounts how Athens 
once vanquished foes who invaded her even after her allies 
had been defeated, and suggests that the invaders came 
from an island which has now vanished beneath the sea. 
Frutiger is not alone in the opinion that no such island 
ever existed, and concludes that it must be credited to 
Plato's imagination. It is nevertheless fascinating to 
follow Cornford into the opinion that the island of 


Atlantis was the staging area for invaders who crossed the 


> Pp, Frutiger, Les Myths de Platon (Paris: 1930), 
pp. 244 ff. 


163 
‘Atlantic, perhaps from America. © 

It 4s interesting to forecast the almost exact 
thematic parallel of the tale of the Egyptian priest and 
the tale which Timaeus will deliver. In both, the cosmo- 
logical origins of the art of healing are described. Plato 
of course viewed the proper function of statecraft to be 
the healing of society, as, for example, in his repeated 
comparisons of the statesman to the physician. 

Critias himself tells Socrates that he is surprised 
to notice how Socrates’ story (the recapitulation of 
Republic doctrines) and the tale of Atlantis resemble each 
other in so many details (25e). Critias had expected that 
it would be difficult to find a basis for their conversa- 
tion of today, and so he carefully rehearsed the story of 
Atlantis before he spoke it (26). He assures us that the 
tale is exactly as he heard it because he says, 

How true is the saying that what we learn in 

childhood has a wonderful hold on the memory. 

I doubt if I could recall everything I heard 

yesterday, but I should be surprised if I 

have lost any detail of this story told me 

80 long ago (26b). 

In addition to guaranteeing the accuracy of the tale, 
this remark of Critias tells us something else of equal 
4mportance, for it reminds us that his tale is introduced 


only as a basis of today's conversation, and as the raw 


material for the discourse of Timaeus. Critias himself says 


6 Cornford, op, cit., p. 14. 


164 
‘he has only approached the main points when he says: 


We will transfer the state you (Socrates) described 
yesterday and its citizens from the region of 
theory to concrete fact; we will take the city of 
Athens and say that your imaginary citizens are 
those actual ancestors of ours of whom the priest 
spoke. They will fit perfectly and there will be 

no inconsistency in declaring them to be the real 
men of ancient times (26d). 


Thus it seems to be Plato's purpose to see beyond 
the recapitulation of Republic doctrines which Socrates 
made in the beginning of the Timaeus, and this is confirmed 


by the statement that Critias' story will serve only as 


material for today's discourse. For, if Critias’ story 


were not only the basis but was in fact the perfect match 
between Socrates imaginary realm and the ancient city of 
Athens, the dialogue could end here, with the conclusion 
that the Republic once existed. The doctrine of the 
Timaeus, however, concerns not only what the best society 
ought to be and what it was, but what is the origin of the 
best society and what is ita basis. 

Socrates agrees that fitting the Republic citizens 
into ancient Athenian society is a proper basis for today's 
discourse, and goes so far as to say that if this is not 
the basis, there can be no other (26e). 

The plan of the projected trilogy is now revealed; 
Timaeus, who knows more of astronomy than anyone else 
present, will begin with the birth of the world and carry 
the account forward until he reaches the birth of man. 


Critias will start from the origin of man and carry the 


165 
‘account to the birth of Athens. In this way, the actual 
origins of society will be discovered. Interestingly, 
no mention is made of the proposed content of the 
Hermocrates. Once before, Plato hinted at a projected 
trilogy, and seems not to have completed the third dia- 
logue. Perhaps, as before, we shall learn so much in the 
two dialogues that the third seems unnecessary.’ Or perhaps 
Plato wrote the Laws instead. In any case, the point at 
issue is whether the fitting of the Republic's citizens 
into the ancient Athenian polis suffices to describe the 
origins and bases of the best society. It is agreed that 
Timaeus will account for the origin of man from his 
astronomical beginnings, and that this is necessary as a 
preliminary for the investigations into the actual origins 
of society. 

One cannot therefore follow Taylor into the opinion 
that this introductory conversation is actually only an 
introduction to the Critias.? By extending this logic, the 
Parmenides and Theatetus are only introductions to the 


Sophist, and the Sophist only an introduction to the 


7 Q. Lauer, 8.J., The Being of Non-Being in Plato's 
Sophist (unpublished manuscript; New York: Fordham 
University). 

8 Cornford, op, cit., p. 8. 


9 A.E. Taylor, Plato: The Man and His Work, p. 440. 


166 


‘Statesman, etc. Such a linearization of Plato's philosophy 


leaves everything behind in which case we should read only 
the Laws and dismiss all else as preliminary introduction. 

In the next section, we shall confront Timaeus’ own 
introduction, and as we shall see, he connects his remarks 
to the general introductory remarks we have just discussed. 
II_ The Role of Image 27c-29d 

Timaeus invokes the blessings of the gods, as custom 
requires, but says that the other members of the conversa- 
tion must also call upon their own powers, so that they can 
understand Timaeus' thoughts on the proposed theme (27c). 

The first distinction to be made is that between 

what is always re&l and has no becoming and what 

it is which is always becoming and is never real. 

That which is apprehensible by thought with a 

rational account is the thing which is always 

unchangeably real; whereas that which is the 

object of belief together with unreasoning 

sensation is the thing that becomes and passes 

away, but never has real being (28a). 

At first, this seems to be the familiar dichotomy 
between the eternal and the temporal, but it 4s not. In 
dividing the line of knowledge here, Plato deliberately 
accentuates the "top" and the "bottom," but leaves out the 
other intermediary divisions which he has established. In 
the Cave, opinion and false images were placed in between 


the Forms and mere sensation; in the Theatetus, right 


opinion was established; in the Sophist, genuine images; 
and in the Philebus, the need to mix the Forms and the 


four levels of knowledge. Thus the meaning of the sentences 


Le 


167 


which open this section of discourse are illuminated by a 
summary of the doctrines of some of the preceding dialogues. 

This is confirmed by Timaeus' next sentence. He says, 

Again all that becomes must needs become by the 

agency of some cause, for without a cause nothing 

can come to be. Now whenever the maker of anything 
looks to that which is always unchanging and uses 

a model of that description in fashioning the form 

and quality of his work, all that he thus accom- 

plishes must be good. If he looks to something 

that has come to be and uses a generated model, 

4t will not be good (28b). 

Here is a recapitulation of the preliminary doctrine 
of the good painter of the Sophist, where those imitations 
which faithfully represent the proportions of the original 
are good images, but those which distort the original are 
mere fantasies (234, 235). The main point here is that in 
the early dialogues, an imitation would necessarily falsify; 
in the late dialogues, an imitation must be carefully made 
in order to preserve the proportions of its model, and if 
it does so, it may properly be called good. This is 
especially true in the Philebus, where the cause of the 
mixture of elements is responsible for the quality of the 
mixture (27a). Here, Timaeus says that if the maker is to 
use & generated model (a copy of the original) he will be 
copying a copy, whereas he should copy the original, and 
by preserving its proportion, imitate genuinely. 

This much could have been said in the Philebus, and 
was in fact said in other words. But now this doctrine must 


be generalized and tested on a cosmological scale. Therefore, 


-Timaeus uses the phrase, “concerning the whole ‘heaven’ or 


108 
‘world’ (not heaven and world)..." (27b), parenthetically 
adding that the name can be chosen to suit heaven itself. It 


is interesting to observe that the term heaven (ouranos) is 


now taken to be synonymous with the whole cosmos, whereas 
formerly, a strict division was made between heaven and 

the visible world. This foreshadows the entire theme of the 
dialogue, in which the former gap between heaven and earth 
is now to be supplanted by a richer and more meaningful 
relation. 

Has this heaven, or universe, always been, or did it 
begin from some beginning? Timaeus answers his own rhetor- 
ical question by saying that it must have begun because it 
has a body and is apprehensible by sensation together with 
right opinion, and it was formerly established that those 
things which are so apprehensible are things which become 


and are generated. This refers to the Theatetus where it 


was established that sensation and true opinion do have a 
measure of the truth but are not the sources of that truth, 
and to the Sophist, where it was established that images, if 
genuine, have a measure of truth because they are not 
absolutely notebeing but have a reality ot their own. The 
doctrine of the Philebus is brought into the account in the 


next line where we read "But again that which becomes, we 
Say, must necessarily become by the agency of some 
cause" (28c). 

Next comes the often quoted statement “The maker and 


‘father of this universe it is a hard task to find, and 


169 
having found him it would be impossible to declare him to 
all mankind" (28c). This statement is absolutely central to 
the exposition of the remainder of the dialogue. It asserts 
that the gap between the eternal and the temporal realms 
is not only a cosmological but a sociological one. It is 
not an impossible task to find the father of the universe; 
it is hard. But it is impossible to declare him to all 
mankind. For this reason, as it was said in the Statesman, 
some authors make myths and childish stories when they 
confront this impossibility of declaration, and even the 
One and the Many is said to be such a myth, made for minds 
incapable of genuine dialectic. 

Now the problem is not that there is a gap in the 
structure of the universe, but that some kinds of communica- 
tion are impossible. On the one hand, some truths are 
ineffable, on the other hand some people cannot be told 
the glaring truth because it would momentarily blind them 
as it did the prisoner of the Cave when he was released 
to see the Sun. But the Sun is there, and those few who 
can and do see it, ought to lead others to it. 

There is a further difficulty. The insight into the 
ultimate origins of being is not only the subject of myths 
and stories which the people feed themselves on; they hold 
on to these myths with rigid conviction, and the innovator 
in this area must beware lest he invite the hemlock with 
which Socrates was sentenced to death. Plato has already 


aid several times that these myths are for children, but, 


170 
‘evidently, he has underestimated his own age. This relates 
directly to the whole purpose of the dialogue, which is 
to replace what Plato regards as dangerous fantasies about 
the ultimate origins of the universe, with a more rational 
account. Notice he does not intend to make an absolutely 
rational account, which the learned elite of Pythagoreans, 
Eleatics, and Academicians, might demand. The account of 
Timaeus cannot be written in the arcane language of the 
intellectualist; some way must be found to declare the 
father of the universe to all mankind. This need springs 
from Plato's conviction that the best state is composed of 
the best citizens, and, those citizens are best who know 
their traditions (Atlantis) and their ultimate origins. 
In short, the experience so familiar to the teacher of a 
aifficult doctrine was also Plato's experience-how to tell 
the student by example without distorting the truth of the 
original meaning. 

This difficulty is exacerbated by the fact that the 
myths of the origin of the universe were probably held 
with the fervor of blind conviction by Plato's contemporar- 
ies, much as they sometimes are by our own contemporaries, 
so that the attempt to redefine them would be regarded as 
blasphemy by those whose hold on these myths was invested 
with the unshakable grasp of an inflexible conservatisn. 
This seems to be his meaning when Timaeus says that the 
maker of the universe clearly looked to the eternal for 


his model, and that the contrary supposition "...cannot be 


171 
spoken without blasphemy..." (29). 

Plato is caught between two extreme difficulties: on 
the one hand the childish myths must be corrected, but 
‘this might be regarded by the people as blasphemy; on the 
other hand, the people to whom Plato wishes to speak the 
correction cannot understand the deeper truths behind the 
myths, so that he has to put them in examples which are not 
perfectly appropriate; but this involves the danger of 
blasphemy in his own mind. The difficulty of finding the 
father is compounded by the impossibility of revealing 
him adequately. It is extremely important that this dual 
difficulty be born in mind in what follows, because it 
bears directly on the use of genuine images and Plato's 
repeated insistence that the dialogue is a probable myth 
(eikota mython). One makes a mistake in expecting Plato to 
speak out boldly in a purely rational language about the 
maker of the universe for two reasons; first, as we noted, 
some truths seem ineffable; second, one would miss Plato's 
concern for the prisoners of the cave who would be blinded 
by the pure truth but left in the dark by anything less. 
The efficacy of the act of communication involves taking 
the audience's view into account, and Plato was far from 


ignorant on this point. !° 


10 or, vig. Gioscia, "A Perspective for Role Theory," 


The American Catholic Sociological Review, XXII, 2 
Milwaukee: Marquette University Press, 1961), pp. 143 ff. 


172 

This accounts for the strangely popular grounds on 
which the argument (whether the model of the universe is 
eternal or generated) 1s settled. Timaeus says "Everyone, 
then, must see that (the father) looked to the eternal..." 
(29a). 

The next portion of the paragraph adds a peculiar 
reaffirmation for the eternity of the model of the universe. 
It states "...for the world is the best of things that 
have Hadoiie: and he (the father) is the best of causes." 
There is no preparation for this statement in all of Plato, 
as far as I know. One could expect that the father of the 
universe would be described as the best of causes on the 
extension of the theme of avoiding blasphemy which runs 
through the whole dialogue. But there seems to be no 
preparation for Plato's statement that the world is the 
best of things that have become, unless it is Plato's 
knowledge that he is going to describe the world as the 
result of the best of causes, and therefore knows it must 
be the best of “effects.” But this creates the very 
difficulty which this dialogue is trying to avoid, and 
that is the description of the best cause as one whose 
action can only bring about the best results. For, in one 
sense, the world is the best result of the best cause, but 
in another sense, it is only the best of things that have 
become, and becoming is not the best sort of being. In 
short, there has already been a slight movement from the 


etrictly univocal causality of the best cause, toward some 


173 
kind of intermediary causation. In this way, Plato con- 
tinues to pose the whole problem of some sort of mid-ground 
between eternity and the realm of becoming. This is confirm~ 
ed in what follows next. 

Timaeus says, 


Again, these things being so, our world must 
necessarily be a likeness (eikona) of something. 
Now in every matter it 1s of great moment to 
start at the right point in accordance with the 
nature of the subject (kata physin archen). 
Concerning a likeness (eikonos) then, and its 
model (paradeigmatos) we must make this 
distinction; an account (logos) 1s of the same 
order (suggenes) as the thing it sets forth- 
an account of that which is abiding and stable 
and discoverable by the aid of reason will 
itself be abiding and unchangeable (so far as 
it is possible and it lies in the nature of 
the account to be incontrovertible and 
irrefutable, there must be no falling short of 
that); while an account of what is made in the 
image (eikonos) of that other, but is only a 
likeness (eikona) will itself be but likely 
(eikotas) standing to accounts of the former 
in a proportion: as reality is to becoming so 
is truth to belief (29b-c, Cornford). 


Since this passage is absolutely central to the 
whole exposition of Plato's philosophy of time, imaze, and 
eternity, it may be well to compare other translations of 
this paragraph. 

Archer-Hind has it: 


Granting this, it must needs be that this universe 
is a likeness of something. Now it is all important 
to make our beginning according to nature: and this 
affirmation must be laid down with regard to a 
likeness and its model, that the words must be akin 
to the subjects of which they are the interpreters: 
therefore of that which is abiding and sure and 
discoverable by the aid of reason the words too 
Must be abiding and unchanging and so far as it 
lies in words to be incontrovertible and immovable 


174 


they must in no wise fall short of this; but 
those which deal with that which is made in 
the image of the former and which is a like- 
ness, must be likely and duly corresponding 
with their subject: as being 1s to becoming, 
so ia truth to belief (29b-c, Archer-Hind). 


Jowett has: 


And being of such a nature the world has been 
framed by him with a view to that which is 
apprehended by reason and mind and is unchange- 
able, and if this be admitted must of necessity 
be a copy of something. Now that the beginning 
of everything should be according to nature is 
a great matter. Let us then assume about the 
copy and original that the words are akin to 
the matter which they describe, and that when 
they relate to the lasting and the permanent 
and intelligible, they ought to be lasting 

and unfailing, and as far as is in the nature 
of words irrefutable and immovable, and nothing 
less than this. But the words which are the 
expression of the immitation of the eternal 
things, which 1s an image only, need only be 
likely and analogous to the former words. 

What essence is to generation, that truth is 

to belief (29b, c, Jowett). 


T.f. Taylor has: 


And from hence it is perfectly necessary that 
this world should be the resemblance of some- 
thing. But to describe its origin according to 
nature is the greatest of all undertakings. In 
this manner, then, we must distinguish concern- 
ing the image and its exemplar. As words are 
allied to the things of which they are the 
interpreters, hence it is necessary, when we 
speak of that which is stable and firm and 
intellectually apparent, that our reasons 

should be in like manner stable and immutable, 
and as much as possible irreprehensible, with every 
perfection of a similar kind. But that, when we 
speak concerning the image of that which is 
4mmutable, we should employ only probable 
arguments, which have the same analogue to the 
former as a resemblance to its exemplar. And, 
indeed, as essence is to generation, so is truth 
to faith (29bec, .T. Taylor). 


175 
R.G. Bury has: 


Again if these premises be granted, it is wholly 
necessary that this Cosmos should be a Copy of 
something. Now in regard to every matter it is 
most important to begin at the natural beginning. 
Accordingly, in dealing with a copy and its model, 
we must affirm that the accounts given will 
themselves be akin to the diverse objects which 
they serve to explain; those which deal with what 
is abiding and firm and discernible by the aid of 
thought will be abiding and unshakable; and in so 
far as it is possible and fitting for statements 
to be irrefutable and invincible, they must in no 
wise fall short thereof; whereas the accounts of 
that which is copied after the likeness of that 
Model, and is itself a likeness, will be analogous 
thereto and posess liklihood; for as Being is to 
Becoming, so is Truth to Belief (29b-c, Bury). 


These five translations and the commentaries on the 
passage will be reviewed in order. First, Cornford holds 
that the chief point established in this prelude is that 
the visible world, of which an account is to be given, is 


a changing image or likeness (eikon) of an eternal model, 


and reasons that it is not a realm of being but of becoming. 
He says, therefore, that we must not expect anything more 
than a "likely" account, because only that which is stable 
can produce a stable account, and becoming is not stable. 
"There can never be a final statement of exact truth about 
this changing object."!! Having taken this view, Cornford 
goes on to comment on the distinction of being and becoming. 
It 18 to be noticed that he delivers his comment as a 


derivative of his view that the account of becoming is 


1 Cornford, op, cit., p. 24. 


176 
only likely because it is unstable. 

Cornford comments that the opening sentence of the 
preceding passage divides the world into two veulne: the 
one of Forms which intelligence grasps, and the other of 
sensation, which is always imprecise and in flux. We have 
seen however that this two-fold division is not a dichotomy, 
but rather an emphasis on the extremes of a four-fold 
division. We differ, therefore, with Cornford's conclusion 
that the use of the word "becoming" (genesis) by Plato is 
"ambiguous" by which he indicates that it has only two 
meanings, one which means that a thing comes into existence, 
acd the other which means that a thing is in the process of 
change. There are many more senses in which the word 
"becoming" can be understood, as Plato showed in the 


Parmenides (151e-152e). For example, one may say "is 


becoming,” “was becoming,” “becoming older," "becoming 
younger," “will be becoming," etc. On the basis of his 
simple division into two meanings, Cornford adopts the 
conclusion that the second meaning cannot be what Plato 
means and that therefore the world must have begun in time. 
He then differs with A.E. Taylor, who attributes the 
Christian theory of creation to Plato via Whitehead's 
theory of time. The point here is the fact that Cornford 
has assumed Plato to have spoken a simple dichotomy, the 
familiar dichotomy between the realm of Forms and the reaim 
of becoming. Thus, for example, he says that the Sophist 
similarly divided the kinds of production in two (265b) 


177 
‘whereas it is clear that there are several kinds of 
production stated theres human and divine, fantasy ad 
image, proportional and non-proportional. This is especially 
important, because the Sophist divides genuine production 
into human production and divine production, but omits 
speaking of false divine production whereesa it does speak 
of false human production. It is precisely this problen, 
i.e., how can a divine product be lacking in any divine 
perfection, which Plato is now examining. But it is not a 
mere repetition; it is now the starting point for Plato's 
expanded doctrine. Just as the Sophist investigated the 
relation between not-being and divine production in the 


realm of things, so now the Timaceus is investigating the 


relation between notebeing and the divine production of 

the entire cosmos. One need not suppose that the familiar 
doctrine of the split between the realm of Forms and the 
realm of things has remained unmodified between the Republic 


and the Timaeus. One need not assume that there is no 


difference between the Sophist doctrine and the Republic 
doctrine with respect to the reality of not-being. Yet 
Cornford introduces the Sophist's division (which he sees 
as a dichotomy) into the Timaeus, which he similarly 


dichotomizes. 
Cornford notes that the distinction to be made is 
not simply between being and becoming, but between eternal 


being and that which is always becoming. It seems better 


= 


178 
to state that Plato is here distinguishing that which is 


only becoming and always becoming, from another sort of 
becoming, which it is the business of this dialogue to 


discuss. Therefore, while it is perfectly true to Plato to 
say that, clearly, the world has become, it does not follow 
to say that the world is only becoming, for, on that 
supposition, how could it be the best of things that have 
become? 

Consistently, then, Cornford concludes that the 
maker of the universe is merely mythical and that therefore 
there was no "moment of creation." This follows from 
Cornford's division of the passage into only two realms, 
which he concludes must therefore be either true or mythical. 
But the whole division in two is not the only interpretation 
possible, for it does not follow Plato through his develop- 
ment. 

Thus, Cornford is led to take literally the dictum 


of the Seventh Letter that there neither was nor is nor 


shall be a doctrine of Plato's on the subject, and that 
Plato is only revealing a mythical figure of the maker of 
universe, but not the real exact truth. Cornford's view 
makes it impossible to conclude that the difficulty of 
revealing the maker to all mankind is not a sociological 
aifficulty inherent in the crass and hollow mentality of 
most men, nor the impossibility of an ineffable truth, but 
Plato's refusal to speak out what he knows perfectly well. 


fhis seems to be only one interpretation of the passage 


179 
which states clearly that the maker can be found, admittedly 
with difficulty, but cannot be revealed. Cornford precludes 
the interpretation that the difficulties of communication 
necessitate the mythical figure or that it might be true to 
say that the maker is ineffably inscrutable and should not 
be spoken for fear of blasphemy, both of which interpreta- 
tions seem more plausible in the light of the doctrinal 
development of the late dialogues. Thus Cornford says that 
a similar “device” was employed in the Republic, referring 
probably to the Myth of Er. But in the late dialorues, 
Plato repeatedly criticises these myths as childish. Yet 
Cornford's interpretation of myth is responsible for his 
dichotomy here, where, it seems possible to offer there 
other interpretations. 

It will be the business of our concluding chapter 
to show why Cornford's interpretation narrowly construes 
Timaeus' mythical language. Suffice it at this point to 
indicate what that conclusion will be. Plato does not 
stop at a merely mythical account in the Timaeus. True, 


there is another myth of "creation" in the Timaeus, but 


4t is not all that is to be found there. In addition to 
the mythical, Plato is, as usual, revealing what he feels 


to be the truth, so that he who sees what the myth means 


has seen more than the myth. In this way, the Timaeus can be 


read either as myth and myth alone, or it can also be 
interpreted as a new doctrine in which Plato points 


,clearly beyond mere myth. This view is clearest in the 


180 
ending of the passage cited, where Plato says that we must | 
see, not mere myth, but a likely myth, just as in the 
Theatetus we must have, not only opinion, but right opinion, 


or in the Sophist and opening passages of the Timaeus, we 


must see, not mere images, but moving images, which 
faithfully reproduce the proportions of the original model. 

Thus, Cornford can say, 

In the application here it is argued that, since 

the world is in fact good, its maker must have 

copied a model that is eternal. The world then is 

a@ copy, an image, of the real. It is not, indeed, 

like an artist's painting, at a third remove from 

tettaty but on the other hand it is not wholly 

real,! 
Notice that Cornford does not distinguish, as the Sophist 
does (at 266d) between a good painter's faithful copy, and 
@ poor painter's unfaithful distortion. Cornford implies 
that images are separated from the ultimate reality. 
Cornford seems to ignow the distinction between a genuine 
image and a mere copy in this case. He says, "The cosmology 
of the Timaeus is poetry, an image that may come nearer the 
truth than some other cosmologies."13 He seems to mean 
mere poetry, as opposed to genuine poetry. This does not 
help us to understand Timaeus' statement that he will give 
the best possible account, which seems to mean genuine 


poetry. 


But what does the statement that the Timaeus is 


12 Ipaa., p. 28. 
'S tIpid., p. 30. 


181 
poetry mean for Cornford, It means that 

eeeinexactness and inconsistency are inherent in 

the nature of the subject; they cannot be removed 

by a stripping off the veil of allegory. An 
allegory, like a cypher, has a key; the Pilgrim's 

Progress can be retranslated into the terms of 

Bunyan's theology. But there is no key to poetry 

or myth.!4 
. Certainly there is poetry, and myth, and imagery. 
But these must not be seen in the youthful light of the 
myths which Plato himself calls childish; they must be 
seen as the best possible account to reveal this doctrine 
to all mankind. Cornford's interpretation would lead one 
always to insert "only" when ever he refers to images, 
since, in such a view, things are either perfectly true 
or they are only images. But for Plato, this simple 
dichotomy has long outlived its utility, and the doctrine 
of notebeing, and the mixture of being and not-being is, 
in the Timaeus, a further effort on Plato's part to 
clarify his thought on these matters. 

Archer-Hind comments that the eternal model of the 
universe and its creation in time represents Plato's use 
of allegory, and that there can be 

no question whatsoever of the beginning of the 

universe in time. The creation in time is simply 

part of the figurative representation; in Plato's 

highly poetical and allegorical exposition, a 


logical analysis is represented as taking place 
in time, and to reach his true meaning we must 


14 Ipta., pp. 31-2. 


strip off the veil of allegory.1!5 
Here 4s the source of Cornford's statement that it is 
impossible to "strip off the veil of allegory.“ Later in 
his commentary, Archer-Hind writes that although Plato is 
talking about “absolute thought thinking itself" Plato 
has put this idea into the figure of a gradually unfolding 
process. My view is that it is not necessary to strip off 
the veil of allegory to see Plato's meaning, for the 
allegory does not conceal but enhances the doctrine. For 
those who see only the allegory, it affords a pretty image 
of the truth. But for those who see the doctrine, the image 
4s an added richness, which does not cloud the doctrine, 
but actually helps it to radiate of itself, and to shine 
more radiantly. However, one notices that Archer-Hind does 
not translate the final portion of the passage in question 
by the phrase “only an image"; he says, simply, that an 
image is "likely" and "duly corresponding” with its 
subject. Thus Archer-Hind 1s able to conclude that words 
stand in the same relation to the Forms, which they repre~- 
sent as the images do, and that this proportion is a 
special case of the more general formula at the end of the 
passage, which has it that becoming is to being as proba- 
bility is to truth, This is not mere imagery, for words 


themselves, in this setting, become images. Later, when 


15 R.D. Archer-Hind, Commentary on the Timaeus 
London: The Macmillan Company, 1000), p. 00, n. 14. 


185 
the whole cosmos is termed an image, Cornford's diminution 
of imagery will suffer because he has not allowed anything 
less than pure being to be called being, and so, whatever 
is less than pure must be somehow less than real. Thus 
Archer-Hind has escaped the claws of this argument by 
interpreting Plato's text to mean that words and images 
must correspond to that which they represent, 36 that a 
moving cosmos described without the use of a moving image 
would violate the canons Plato sets down for faithful 
representation. 

However, Archer=-Hind seems not to follow his own 
conviction that the later dialogues show a constant 
progression, because he adds that this analogy is precisely 
what one finds at Republic 511e. But there we find, not a 
division into two parts which are proportional, but 4 
fourfold division of the powers of the soul where images 
are the lowest level of intelligence, and not the propor- 
tional representation of truths of reason. 

Jowett too holds that the images which are only 
4mitations of eternal things must be only images. Jowett's 
well-known Kantian bias is clearly evident here, since 
those kinds of knowledge which give anything less than the 
inscrutable nature of the Forms cannot be satisfactorily 
called true knowledge, but only images and copies. The 
fact that Jowett places the Timaeus next after the Republic 
is in part based on his claim that there is little differeme 
between the doctrine of the two dialogues. This is a 


184 


function of two factors; first, Jowett wrote his transla- 


tions before the stylometrists ushered in the new era of 


Platonic criticism, and second, if one reads the Timaeus 
with the expectation that its doctrine will ot differ 
materially from the doctrine of the middle period, and 
then translates the text with that view in mind, it is not 
only consistent but logically necessary to write "only an 
image." But if one follows the majority of scholars who 
placed the Timaeus in the late period, then one may see in 


the Timaeus certain doctrinal reformulations, so that it 


is not necessary to expect Plato to speak in the same 
epistemological voice which the later dialogues clearly 
modulate. 

But a point worth making is partially confirmed by 
Jowett, in that he agrees with Archer-Hind that Plato 
makes words proportional to their referents, just as 
images are proportional to their paradigms. Although 
Cornford's translation of “accounts” is somewhat cumber- 
some, Jowett, however, agrees with Cornford in translating 
the second half of the proportion "what essence is to 
generation, so truth is to belief,” although Cornford 
prefers being to essence. 

The little=-consulted work of T.T. Taylor is also 
instructive with regard to the passage in question. [f.T. 
Taylor translates paradeigmatos not as paradigm, nor as 
model, but as exemplar. This translation could lead to the 


game difficulty into which Cornford was led, since the 


185 


word exemplar has inescapably transcendental connotations, 
creating the impression that there is a spatial separation 
between the world of exemplars and the world of images, 
and this in turn would lead to the diminution of the role 
of images and the arguments based upon them. And so, T.T. 
Taylor says that in the discussion of images, "we should 
employ only probable arguments,” thereby separating what 
Plato is trying to put together in a new way. However, T.T. 
Taylor says, 
The faith which Plato now assumes appears to be 
different from that of which he speaks in the 
sixth book of the Republic, in the section of 
aline; for that is irrational knowledge, whence 
also it is divided from conjecture, but is arranged 
according to sense. But the present faith is 
rational, although it is mingled with irrational 
knowledges, employing sense and conjecture; aud 
hence is filled with much that is unstable.! 
He goes on to say that for Plato there are four kinds of 
truth, and that some must be conjoined with sensibles. 
This opinion is noteworthy since it was written in 1804, 
@ full half-century before the scholars decided to resort 
to language tables to sort the dialogues into their 
chronological context. Here is a scholar who sees that 


Plato's reference is to the four truths, not of the Republic, 


but of the Philebus, where the Good is said to impart 
17 


purity to the mixture. 


16 T.T. Taylor, The Timaeus and Critias of Plato 
(Washington: Pantheon Books Inc., 1952), p. 112. 


'7 Ip4a., p. 17. 


186 
Bury does not relate the four truths of the Timaeus 
to the four divisions of the Philebus, but, instead, 
dichotomizes being and becoming, '8 Thus in the last few 
lines of his translation, he says that, on the one hand, . 
statements which copy the eternal must be, 
in so far as it is possible and fitting for 
statements to be, irrefutable and invincible, they 
must in no wise fall short thereof, whereas the 
accounts of that which is copied after the likeness 
of that model, and is itself a likeness, will be 
analogous thereto and posess likelihood; 
Although Bury does not insert an “only" in this passage, 
the feeling tone is indicated in his tra*slation by his 
use of “whereas,” which makes it seem that he has shifted 
the field and is now speaking of the opposite side of the 
dichotomy. His translation makes it seem that the universe 
4s only a copy of a copy, and therefore probably lese than 
true. This seems to go against the aim of the passage, 


which is to account for the use of imagery, which, in 


earlier dialogues (Republic, Phaedo) were unworthy vehicles 


of the truth, but in later dialogues (Sophist, Statesman) 
are not only worthy but somehow necessary to describe the 
notebeing integral to every real thing. 

It is A.E. Taylor's view that the Platonic theory 


of creation in the Timaeus is a perfectly Christian vision, 


and that, futhermore, Plato's view is best understood by 


applying to it the fundamentals of Whitehead's theory of 


18 Bury, "Plato and History," p. 5. 


187 


time, as set out in the “Concept of Nature.” There are 
here actually two "heresies," as Cornford says. The first 
ig the assertion that Plato's theory of creation is 
assimilable to the Christian notion: the second 1s that 
Whitehead's theory is both Christian and Platonic. It 
might seem that these theological disputes are not to the 
point, but, unfortunately, Taylor has introduced them in 
explanation of the passage which is under discussion. 
Taylor first determines that Plato has said that 
the world clearly must have had an eternal model but that 
the world itself is mutable. Then he says, "This is 
virtually what Whitehead means when he says in his own 
terminology that objects are ‘angredient'"!9 in events. 
From this he draws the inference that Plato insists on a 
provisional character of representation because the senses 
only perceive roughly, and because it takes a long time for 
the coarseness of sensory perception to cross-check itself 
and finally arrive at precise and exact perceptions. 
Cornford seems right here when he says that A.E. Taylor's 
speculations derive from A.E. Taylor and hardly at all 
from Plato. It might be true to assert that Plato held 
the senses not to be “infinitely acute" but this is a 
long way from the claim that Plato offers a provisional 


account because the senses are so dull and because they 


19 A.E. Taylor, Commentary, p. 73. 


188 


can only report what they perceive at a given time, °° 


AE, Taylor nevertheless does not insert the “only” which 
others want. His translation reads: 

We must lay it down that discourses are akin in 

character to that which they expound, discourses 

about the permanent and stable and apprehensible 

by thought themselves permanent and unchanging 

(so far as it is possible and proper for discourses 

to be irrefutable and final, there must be no 

fallingshort of thate-), discourses about that 
which is itself a likeness likely and correspond- 
ing to their objects.2! 

However, he adds the comment that Timaeus' discourse 
and Timaeus' “warning” about proportionality pertain to 
the whole cosmology. 

It is not given as a finally true account of 

anything but simply (only?) as the account which, 

so far as Timaeus can see, best "saves," i.e., 

does full justice to all the "appearances" so far 

as they are known to him.22 
So, although A.E. Taylor does not insert “only” in his 
translation, he asks that the passage be interpreted as a 
warning that the account is simply the best one which 
Timaeus can devise to save the appearances. This follows 


upon Taylor's assumption that the Timaeus is a dialogue in 


which we should expect to find "nothing more" than the 
doctrine of a fifth-century Pythagorean, a "provisional 


tale," the “best approximation" Timaeus could manage. This 


20 tpi. 
21 Ipid., p. 74. 
22 tpid. 


189 


interpretation makes it impossible for Taylor to accept 
the Timaeus as a dialogue which contains anything of the 
"later Platonic theory. "2 

Rather than enter into a detailed discussion of this 
Taylorian "heresy," as Cornford calls it, and rather than 
give the details of a long and involved series of quotations 
from the Ancients, it seems more appropriate to state 
Cornford's view of A.E. Taylor's unique and solitary 
opinion that the Timaeus is only Plato's eclectic and 
rather artificial combination of Empedoclean biology on to 
the stock of Pythagorean mathematics and astronomy. Cornford 
says, in summary, 

It is hard to understand how anyone acquainted 

with the literature and art of the classical 

period can imagine that the greatest philosopher 

of that period, at the height of his powers, 

could have wasted his time on so frivolous and 

futile an exercise in pastiche.@ 


In addition, Cornford feels that “There is more of Plato 
in The Adventures of Ideas than there is of Whitehead in 


the Timaeus."29 


Except for Bury's, the most recent translation of the 
passages under discussion (29b=c) is Cornford's, which has 
the additional merit of supplying a detailed commentary, 


familiar at once with the sources and the conclusions of 


23 Ipid., p. 19. 


24 Cornford, op. cit., pe. x. 


25 Ibid., pp. 11=12, 


190 
Platonic scholars. Yet Cornford's translation contains the 


assumption that the doctrine of the Timaeus cannot go 


beyond the dialogues of the late period which precede it. 
Yet Cornford himself places the Timeaeus after the Philebus 


on doctrinal grounds; he feels that the Timaeus generalizes 


the divisions of the Philebus into the far more general 


topic of cosmology. But he fails to see that the Timaeus 
does not merely apply the Philebus’ doctrine to cosmology; 


the Timaeus seeks a broader generalization of insight, 


proportional to the broader range of inquiry. Thus, in the 
passage in question, one should not conclude with Cornford 
that Timaeus is apologizing for the use of image because 
of Plato's repudiation of images in the middle period. 
There is an explanation which is much more simple; the 


Timaeus says quite simply that the image by which the 


universe is to be described is proportional to its model. 
The simplest view is that Plato now introduces an image 
into his most mature doctrine, and one can plausibly draw 
the inference that Plato's mature doctrine contains a 
rejwassesment of the value of an image. To force Plato to 
hold fast to his earlier repudiation of the value of images 
is to preclude the need for the whole Timaeus, which, 
nevertheless, Plato wrote in his last years. 

Thus, the simplest interpretation of 29b-c seems 
best. We must accept Plato's statement that the Universe 


is an image, and we ought not inflict our interpretations 


191 
of the earlier Platonic Philosophy on the philosophy Plato 


writes in the Timaeus. This interpretation saves us the 


trouble of inserting cumbersome deviations from Plato's 
simple language. It seems too circuitous to assert that, 
although Plato says the Universe is an image, what he 
really means is that the Universe is not an image but only 
allegorically described as if it were an image. It seems 
simpler and more correct to say, with Plato, that our 
Universe is an image. 

Now the problem becomes more philosophical, for we 
must inquire of the succeeding passages about the reality 
of an image, what an image is and why an image is, and, 


with Plato and the whole Timaeus, when an image is. This 


inquiry, as we shall see, is not to be separated from the 


main theme of the trilogy of which the Timaeus is the first 


dialogue; what are the conditions of the best form of 
society. 

It would seem then, that the sense of 29b-c is as 
follows: 


Granting these premises, we must see now that our 
Universe is an image of something. Now in all things 
4t is most important to start at the natural beginn- 
ing. Concerning an image, then, and its paradigm, we 
must state the following: as a word is proportional 
to the reality it describes,-a description of that 
which is stable and abiding and discoverable by the 
aid of reason being itself stable and abiding (so 
far as it is possible for descriptions to be so- 
there must be no falling short of that) so, a 
description which describes an image will be 
proportional to the image it describes; as reality 
is to becoming, so is truth to rational faith. 


192 

This reading, it seems, restores the whole propor- 
tional tone of the passage, which is a carefully balanced 
set of proportional propositions, culminating in the state- 
ment that reality is to becoming what truth is to a rational 
faith. : 

Thus, when Timaeus tells Socrates that the partici- 
pants of the dialogue should accept the account he is 
about to give as a "probable myth" (eikota mython) (29d) 
4t need not be understood as “only” a myth but, in 
contradistinction to the childish myths which are for those 
who can see no further, the myth which Timaeus is about 
to tell is a likely or probable myth. This follows out the 
theme established in the former passage. Just as the image 
which our world is, is not merely an image, so the myth of 
Timaeus is not merely a myth. As the image is proportional 
to its model, so the myth will be proportional to its 
model. The myth is a description of the Universe, and the 
Universe is an image. And since the image is faithful to 
the proportions of the original, as the Sophist stated it 
must be to have its measure of truth, so the myth will be 
proportional to the image, so that it can have its measure 
of truth. For some images are fantasies, and some myths are 
childish. But the universe is a genuine image and the myth 
which describes it is faithful to the proportions of the 
image, its model. As reality is to becoming, so image is 
to myth. It cannot be stressed too strongly that the 
reality and hence the reliability of images and myths 


193 


depends on the account given to images in the Sophist 
which goes beyond the sterile purity of the isolated Forms 


of the Parmenides, which were there described as due to the 


naivete of the youthful Socrates. In this connection, it 


must equally be stressed that Plato is not vindicating any 


and all myths. He explicitly says only faithful images 

(in the Sophist) and only probable myths (in the Timaeus). 
But this is new. For Plato had written myths in each of the 
dialogues in the late period, and the famous myth of Er of 
the Republic 1s easily remembered. In the Sophist even 

some views of the One and the Many are called childish 
myths. And in the Seventh Letter, Plato tells us that there 


neither was nor is nor shall there ever be a doctrine of 
Plato's on the subject of the ultimate Forms. In view of 
29bec this paradoxical statement becomes intelligible. It 
means that there cannot be a doctrine of the ultimate Forms 
in isolation. Since the Universe is an image, the account 
of its ultimate Forms must be proportional to its reality. 
thus the account of the origins of the Universe, which is a 
locus of the Forms and the powers which they promise, must 
be mythical; not merely mythical, but genuinely mythical. 
It is Plato's sense of the inneffable and his poetic genius 
to see beyond every exact and fixed statement. The need not 
to blaspheme and yet the need to communicate can only be 
united in a properly proportional account of the subject. 
One must, and yet one dares not, speak the Name of the 


Ultimate Form. One may find the father of this universe 


_ 194 
but it is impossible to reveal him to all mankind. This 
speaks the double necessity not to lie and not to distort, 
and this double necessity is met by the true myth, which 
functions to reveal yet hide, to speak yet remain silent. 
Thus, while the myth speaks Plato's doctrine, in a sense, 
4t does not constitute a doctrine. It is precisely this 
notespeaking which constitutes the connecting theme between 


the Timaeus and the Sophist, but, at the same time, it is 


the generalization of this theme to a cosmic level, united 
to the investigation of time and eternity insofar as they 
relate to the best society, which constitutes the Timaeus 
as a culmination of the themes of eternity, image, and time, 
as they were gradually developed in the later dialogues. 
Granted that the Timaeus is poetry, it is not only poetry; 


it is, above all, Plato's philosophical poetry. 

So far, then, we have been told about the role which 
an image is to play in Plato's description of the origin 
of the Universe. We have been told that the Universe is an 
image and that one properly makes use of a myth to describe 
an image as accurately as it can be described. It remains 
for Plato to tell us what an image 1s, how the Universe is 
an image, and, most especially, how the description of the 
Universe as an image explains the relation of time and 


eternity to the best society. 


195 


CHAPTER V 
TIME AND THE UNIVERSE 


I The Motive of Creation (29d-30b 

So far, we have been told that the World is a beconm- 
ing image of an eternal realm. But this is precisely the 
problem. How can like be unlike, or how can the maker 
generate less perfectly than the perfect model. We recall 
the Sophist (265b) distinguishes divine and human production 
and that the Philebus has told us that the cause is the 


maker. But these distinctions only seem to introduce new 
problems. How can there be eternal becoming; would the 
cause of such an eternal becoming have to be a perpetually 
sustaining cause; or does eternal becoming mean that what 
becomes never began, or that what began shall perpetually 
become and continue. These questions must now be confronted, 
for the general issue which underlies them is "what is the 
relation of a becoming image to reality." 

Cornford states that “Plato denied reality to what is 
commonly called matter."! The materiality of this universe, 
however, is not unconnected with the motive for the genera- 
tion of the Universe by its maker. We shall investigate the 
two issues simultaneously. Timaeus informs us of this motive 


when he tells us that the father of this Universe is good, 


1 Cornford, Plato's Cosmology, p. 31. 


196 
and hence, not jealous of his perfection, so that "he 
desired that all things should come as near as possible to 
being like himself" (29e).° The father therefore: 

took over all that was visible-not at rest-but in 

discordant and unordered motioneand brought it 

from disorder into order, since he judged that 

order was in every way better (70a). 
But the moat striking is: 

That this is the supremely valid principle of 

becoming and of the order of the world, we 

shall be most surely right to accept from men 

of understanding (296). 

Here the first part of the problem of an eternal 
becoming 1s stated. Plato has established that the model 
of the Universe must clearly be the eternal, and that the 
maker of the Universe introduced order, and that this 
order is the most valid basis of becoming. Yet, the 
following statement creates the problem, for it asserts; 
"Now it was not nor can it ever be permitted that the 
work of the supremely good should be anything but that 
which is the best" (30b). Here is the antithesis clearly 
stated: The Universe resembles an eternal model, yet it is 
a becoming Universe, and becoming, heretofore, could not 


be described in superlatives. Becoming is as perfect as it 


can be after it is ordered and endowed with intelligence. 


2 one is tempted to restore the hiatus which Cornford 
habitually tries to remove as "intolerable." Then the 
passage would read, "he desired that all things should 
come as near as possible to being, like himself." 


197 

Plato leaves the problem unresolved at this juncture. 
He says only that the Universe was framed as perfectly as 
possible. It is thus a living being with reason and soul. 
Yet soul is presumably eternal. It is important to realize 
that this problem, namely the reconciliation of eternity 
and becoming, is kept alive during the succeeding passages, 
and has not yet been resolved. this 1s no oversight: Plato 
means to hold this question in readiness until the doctrine 
he is developing can supply the answer. 

thus it is important to notice that the demiurge 


fashions the Universe to the end and by nature toward 


perfection, which seems to mean that its present state is 
incomplete, and yet the Universe is ordered and given 
intellizence so that it might be as perfect as possible. 
Later (in 48a and 52d) we shall have occasion to point 

out the relative omnipotence of the demiurge. At this point, 


we have not yet been told how it is possible to place the 
eternal and the realm of becoming in a harmony without 
flaws. The relation of the eternal model and the becoming 
Universe remains problematic. 

Cornford states that it "...is not easy for us to 
understand" the relative and not absolute omnipotence of 


the demiurge. For it is clear that the demiurge has not 


created ex nihilo, but has ordered the discordant motions 
only in so far as it was possible. Cornford concludes that 
the set of discordant motions, the chaos, the material 


which the demiurge orders, is an eternally present 


198 


material, and so the demiurge cannot be simply equated 
with the God of the Christians.> Cornford wants to help 
Plato avoid the "impossibly absolute divinity" who, being 
absolute, could not involve himself in earthly affairs. 
But this seems unnecessary, since the demiurge is in no 
danger of being impossibly absolute; rather is he in 
danger of being so completely relativized in Cornford's 
description that he becomes, not only not the God of the 
Christians, but not even the demiurgic divinity which 
Plato describes. 

II The Model of the Universe (30c-3ib 

In the next paragraph Timaeus speaks of the model 
after which the demiurge fashioned this Universe. He says 
that we must not suppose that the model was any specific 
Form, for then the Universe would lack the perfections of 
the other Forms after which the Universe was not copied. 
The Universe is most like that Living Being of which all 
the other things are parts, and it contains them all. In 
this, the Universe is very much like the model because 
there are no specific perfections lacking to it. 

What can this Living Being be to whom no perfection 
is lacking and who serves as the model for each specific 
perfection. It cannot be any one Form, for on this suppo- 
sition there might be others (31a). Nor can it be a Form 


of all Forms, for this position involved the difficulties 


3 A.E. Taylor, Commentary, p. 37. 


199 

mentioned in the Parmenides. Is it The Form of The Good, 
or perhaps the Demiurge Himself? None of these answers 
satiafy. If it were the Good, Plato could easily have said 
so, as he did in the Republic. Nor does the demiurge regard 
his own perfection as a model; he is said to regard a 
model, but he is not described as looking to himself. It 
is hard to see the grounds for Taylor's assertion that the 
demiurge fashions by "an overflow of his goodness. "4 

Plato himself "recapitulates” the third man argument 


of the Parmenides to the effect that the model which 


embraces all the intelligible things there are cannot be 

one of a pair (the simplest number) 
for then there would have to be yet another Living 
Creature embracing those two, and they would be 
parts of it; and thus our world would be more 
truly described as likeness, not of them, but of 
that other which would embrace them (31a). 

The Universe must be one, like its model. Here again the 


Timaeus marches out boldly beyond the doctrines of its 


predecessors, for that One after which the Universe is 
modelled is not the sort of One which is put into the 
mouth of Parmenides in the dialogue which hears his name, 
but a new sort of One which is now to be described. Or 
rather, Timaeus will now present a mythical account of that 
One of which the Universe is the image. 

III The Body of the Universe 1b-32c 


But Plato does not launch immediately into a 


+ tp1a., p. 78. 


200 


description of the One. Instead, he takes the lesson of 


the Philebus to heart and proceeds to reveal how the 


Universe is composed of four primary elements, first the 
traditional fire and earth, and then the third which 
unites them, "for two cannot be satisfactorily united 
without a third” (31b). 

Here Taliaferro'’s brilliant analysis of Plato's 
Pythagoreanism is apropos. He shows how the necessity of 


proportion between lines, planes, and spheres, is a 


generalization of the proportions within lines, planes, 


and spheres. That is, just as the extremities which make 
up a line are proportional to each other, so the plane 
and the sphere have proportional elements; but further, 
the proportion between the line and the plane is proportion- 
ally the same as the proportion between the plane and the 
sphere. In the same way, the realms of physics and geometry 
are proportional to each other, as the realm of matter is 
proportional to the realm of soul, and the realm of soul 
with the realm of being. Plato seems to be suggesting that 
there is a general proportionality between being and 
becoming. ° 

Yet this is abstract, and Plato wants to present the 
tale with all the richness of which a myth is capable. 


Although a radical unity of realms has been introduced, 


5 T.T. Taylor, The Timaeus and Critias of Plato, 
pp. 29 ff. 


201 
the structured, leveled unity of these realms must be 
spelled out, for the Universe shares in the intelligibility 
of 4ts model, which comprehends all the things within it 
in a single unity. It 1s as if Plato were building suspense 
into his drama of creation. There is a difference between 
@& metaphysical dramatist, who writes drama with metaphysical 
overtones and suggestions, and the dramatic metaphysician, 
who writes metaphysics with dramatic overtones. Plato seems 


to be one of the latter sort, since his Timaeus portrays 


the metaphysical origins of the Universe, in such a fashion 

that Timaeus’ account manages to create dramatic suspense. 
Since the Universe is visible, it must be bodily, 

and that which is bodily must have come to be. But, the 

Philebus informed us that the visible must have fire to be 


visible and earth to be tangible, and, since no two can 
be united without a third, fire and earth cannot be united 
without a third. Here in the Timaeus, the third must unite 


fire and earth in the best way possible, which is in the 
manner of a geometric proportion (31c). This is the best 
because "in that way all will necessarily come to play 
the same part toward one another, and by so doing they 
will all make a unity” (32a). Plato speaks here of the 
relation of proportional elements to each other; 2 is to 
4 as 4 is to 8. By transposition, 4 is to 2 as 8 is to 4, 
and in this way the mean, 4, comes to be the outside term 
and therefore it seems to be the outer boundary of the 


proportion. This is the arithmetical way of allegorizing 


202 
the doctrine that proportion is what unifies, just as the 
side of the plane forms the outer boundary of its area, 
There is no need to dwell on the obvious Pythagorean style 
of this image. The point is that the elements of fire and 
earth need to be united in a proportion so that they 
define each other in the unity which they form. But on the 
basis of a simple proportion of this type, the Universe 
would have a plane surface with no depth. Yet we see that 
the World is a solid, “and solids are always conjoined, 
not by one mean, but by two” (32b). Therefore the god set 
water and air between fire and earth, and made then 
proportional to one another. In this way the unity of the 
Universe was achieved, and the proportionality of its 
four elements to each other is their boundary. Further, 
only he who set the elements in proportion could disolve 
it (32c). All of the elements were used up in the construc- 
tion of the Universe, and in this way the Universe resembles 
its model's perfect unity, for none of the materials were 
left over and it is therefore, in its way, complete. It 
4s also, on that basis, simple, that is, one Universe, and 
hence resembles the unity of its model. Since only he who 
made the Universe can disrupt its unity, and since there 
are no materials left over which could attack the Universe, 
it-.ia free from old age and sickness, which come about by 
the introduction of materials from without. This at first 
seems to mean that the Universe resembles the eternity of 


its model in that those elements which might bring about 


203 


age and sickness to the eternal would have to be outside ite 
definition, and so, the Universe, in its fashion, similarly 
cannot age or succumb to sickness for this would require 
elements outside it, of which there are none (33). 

But the shape of the body of the Universe is "that 
which is fitting to its nature" (33b); it 1s spherical. 
This is an extremely important phrase, since some regard 
Plato's image of time as circular and therefore interpret - 
the Platonic Universe as closed, and subject only to 
eternal recurrence, without novelty or growth or process.° 
Therefore it is necessary to dwell on this phrase, for it 
says precisely and unambiguously that the spherical shape 
of the body of the Universe is proper to its nature. The 
foregoing passage clearly tells us that the Universe 
resembles its model in its own way, and that the perfection 
of the Universe is the aspect of the model from which the 
spherical shape derives. It is one thing to say that the 
Platonic Universe is spherical and therefore closed; it 
48 quite another thing to say that the Platonic Universe, 
which is a becoming image, is as perfect as it can be, and 
therefore allegorically spherical. This latter view cannot 
be stressed too strongly, because it is common to regard 
the Platonic Universe as nonetemporal, or as imperfect 


because it is only spherically temporal. Plato, on the 


eS aS ST TS ES 


6 E.g., Alexandre Koyre, From the Closed World to the — 
Infinite Universe (New York: Harper rothers, 1 ° 


204 
contrary, tells us clearly that the perfection of the 
model is the paradigm for the perfection of the Universe, 
which is a becoming image, so that it is appropriate to 
its setyle of perfection for it to be spherical. It is 
necessary to state simply that the question of the temporal 
character of this Universe has yet to be broached and will 
not be introduced by Plato until the discussion of the 
soul of the Universe has been undertaken. It follows that 
descriptions of the temporal character of the Universe 
based on its spherical shape do not follow the logical 
order of the dialogue, for they extract elements of the 
dialogue out of their context, in order to put them 
together in an order which was foreign to Plato's stated 
order. The spherical shape of the body of the Universe as 
Plato describes it, is the way in which the body of the 
Universe resembles the perfection of its model, insofar as 
that model is a self-comprehending figure, that is, a 
figure which is a proportional unity. It is not the — 
function of the spherical shape to resemble the eternity 
of the model; on the contrary; it is the function of the 
revolution of the sphere, governed by the world-soul, to 
resemble the eternity of the model. In so far as the body 
of the Universe is spherical, to that extent does it 
resemble the unity of the model. One must call to mind 
here the impossibility of describing each and every 


characteristic of the Universe at the same time and by the 


205 
same set of words. Plato, like every other writer, cannot 
speak simultaneously of every aspect of his vision; it 
takes time to describe every feature of what one describes. 
The function of an image in this context becomes somewhat 
more evident, and the truism that a picture is worth a 
thousand words is not irrelevant to this characteristic of 
written description. For an image, a picture, can put 
forward thousands of details ina simple simultaneous 
unity, whereas the description of the picture in written 


words must focus on one aspect at a time. Thus Plato 


describes his Universe as a becoming image, to indicate 
that the unity of its elements is complete and harmonious: 
but to reason immediately from its spherical shape to its 
temporal character is an instance of cart-before-the- 
horsemanship. We must wait until the discussion of the body 
of the Universe has been completed, and then for the 
discussion of the soul of the Universe. Then, and only 
then, does Plato introduce his doctrine of time and the 
relation of time to the eternal model. 

Thus Plato states that the spherical body of the 
Universe is without organs or limbs, because the Universe 
which embraces all living things within itself ought to 
have that shape which comprehends all shapes within itself. 
The sphere is the most perfect shape because it “comprehends 
in itself all the figures there are" (33b). The shape of the 
Universe is proportional to its model: as the model is the 


most perfect model, the sphere is the most perfect shape. 


206 


To accomplish his stated purpose, Plato describes how the 
Universe, as an image, is proportional to its model. In so 
doing, Plato continues to follow his own injunction; as 
reality is to becoming, so is truth to faith. 

But again, it is important to notice that the precise 
description of the relation between an eternal becoming 
and an eternal being has not yet been made clear. It is 
still held out for later comment. In short, during his 
description of the shape of the Universe, Plato has not 
yet said how it can be that the Universe can be an eternal 
becoming. The spherical shape of the Universe 1s basic but 
not sufficient for an insight into Plato's philosophy of 
time. 

Similarly, one cannot pass immediately from Plato's 
aphenteal Universe to Plato's philosophy of time. The motion 
of the sphere, which he is about to reveal, is basic, but 
even thie will not be sufficient for the explication of 
Plato's time-doctrine. The spherical Universe has no 
organs for sight or food, and is therefore not dependent 
on anything else. It has the sort of metion which, above 
all, belongs to reason and intelligence, namely, uniform 
rotation. It does not go from up to down, nor from down to 
up; nor from left to right, nor right to left; nor does 
it go from forward to backward, nor from backward to 
forward; the maker took these six motions away from it in 
the process of ordering its discorcant wanderings. It 


revolves uniformly within its own limits (34a). 


207 
In his description of the body of the Universe, it 
is important to see that the divisions of the Philebus and 


the arrangement of the elements in their proportions are 
recapitulated here in the Timaeus. Otherwise, one fails to 
notice that the relation of fire, air, earth, and water, in 


the Timaeus is a subtle transfiguration of the Pythagorean 


number four, and also a substitution of proportion for the 
Amity which the elements had when ordered by the Nous of 


Anaxagoras, which, as Socrates complained in the Phaedo, 


Anaxagoras introduces early in his work but soon proceeds 
to ignore. Here Plato carries the theme of proportional 
unity into the relation of the elements themselves, It is 
doubly important to take note of this proportionality as 
constituent of the Universe, because Plato has described 
the relation of proportionality as the best sort of unity 
for the Universe, and the Universe must be the best 
possible because it is an image of its model. As we shall 
see, the world soul is similarly the best possible, for, 
not only is it too a resemblance of the model but it is 
the deeper source of the proportional perfection of the 
Universe. 
IV The Soul of the Universe 

The plan of the god who makes the Universe into the 
best image of the best model could not exclude soul from 
his activity, so that the excellent body of the Universe, 
which is spherical, and therefore not dependent on anything 


outside of itself, must in some way be related to a soul. 


208. 


The Soul of the Universe was set in the center, but 
further "wrapped ita body round with soul on the outside” 
(340). Here the transposability of the elements of a pro- 
portion comes into the account. For, at first, it seems 
that the center of the Universe cannot at the same time be 
the periphery. But, just as the mean term of a proportion 
can become the extremes by transposition, so the Soul, 
which is first described as the center (the mean) now 
becomes the outer boundary. This use of mathematical image 
seems to be Plato's way to indicate allegorically that the 
very heart of the Universe is also its limit, and that its 
center is not to be taken as a strictly spatial point but 
as the inner principle of the Cosmos, which therefore also 
animates its sphere of functioning and the limits of that 
functioning. Because the Soul of the Universe is both its 
center and its limiting boundary, it is described as a 
"blessed god" (34b). 

One might easily wonder why the body of the 
Universe is discussed before the Soul, which is said to be 
the most excellent source of perfection. Plato explains in 
the next paragraph why this was done. He says that we 
should not suppose, merely because the Soul came later in 
the account of the Universe, that it is therefore younger, 
for that would be an insufferable perversion of right 
order. Already, "There is in us too much of the casual and 
the random which shows itself in our speech...” (34c). The 
priority of Soul in perfection is not absolute and total; 


209 
there are still too many obvious wanderings and deviations 
from the orderly to assert that the Soul is prior in every 
way.! Plato is all too aware that the Universe cannot be 
empirically described as exhibiting the perfections of 
Soul. It seems likely that Plato described the body of the 
Universe before describing the Soul in order to follow out 


his initial premise that the Timaeus will reveal the plan 


of the Universe in an image, so that, by first establishing 
the visible shape of the Universe, he will then be able to 
make use of the shape he attributed to it to fashion images 
of the Soul. This was the procedure of the Republic, for 
there, it was explicitly agreed that the best plan for the 
investigation of the Soul would be to see it writ large in 
the State. So here, it seems that Plato is saying that we 
shall come to understand the Soul of the Universe writ 


large in its body. Throughout the Timaeus the details of 


the image are described before the image itself, but this 
is only an apparent reversal of the order in which the 
Universe was fashioned. It does not seem wise to interpret 
this, (as Cornford and A.E. Taylor do) as "inconsistent." 
If one understands from the outset that the best description 
of the Universe must be proportional “te its reality, then 
the details of the allegorical level of explanation are not 
inconsistent with the details of the reality of the 


7 E.R. Dodds, The Greeks and the Irrational 
(Boston: Beacon Press, 19 . 


210 
Universe. Only on the supposition that Plato is following 
@ linear plan of description would it follow that details 
are out of place. But if one accepts Plato's approach 
through image, then one remembers that the exigencies of 
written description create the appearance of a linear 
account, whereas, in fact, Plato concentrates on one 
aspect and then another of the entire image, which, in its 
unity, does not serialize or linearize the elements of the 
account. Plato's Universe does not consist of a series of 
elements which must therefore be described one at a time. 
One could more easily attempt to fashion a length of rope 
from grains of sana.° Thus, if one starts from an expectae 
tion that the description of the Universe must be a linear 
account, one should conclude that Plato's description of 
the World-Soul snould have preceeded his account of the 
Body of the Universe. But, if one starts from the awareness 
that Plato is describing those aspects of the Universe 
which will lead to an insight into the whole Universe in 
a simple image, which is the best kind of account of the 
Universe because it is proportional to its kind of being, 
one is not disappointed that Plato describes the Soul of 
the Universe after the body. One ought to recall in this 
regard Plato's deep concern that it is, after all, imposs- 


ible to reveal the maker of the Universe to all mankind. 


8 George S. Claghorn, Aristotle's Criticism of Plato's 
'Timaeus’ (The Hague: Martinus Nijhoff, 1954), p. Bf. 


ett. 
He attempts, by means of his imagery, to communicate to as 
Many as possible. In this way, the recipient of his account 
has been presented with the shape of the body of the 
Universe, and he can now elevate this image by perceiving 
how it has Soul at the center and all around it. 

However, the World-Soul is not so simple that its 
description can rest on the characteristics of centrality 
and periphery. The description of the "parts" of the 
World-Soul follows next, in a passage which Cornford has 
described as "one of the most obscure of the whole dia- 
logue."? Further, he says that the passage "would be 
simply unintelligible to anyone who had not read and 
understood the Sophist."!9 In a note he adds that A.E. 
Taylor has precluded this basis for understanding the 
World-Soul because A.E. Taylor denies a knowledge of the 
Sophist to Timaeus.!! 

By his reference to the Sophist, Cornford points 
out that the "ingredients" of the Soul will be the Forms 
which Plato there said communicated with each other, 
namely, Unity, Sameness, and Difference. Particularly, 
Difference has the character of not-being, yet these Forms 
communicate with each other. In the following passage from 


the Timaeus, Plato describes how the World-Soul comes to be 


9 Cornford, op, cit., p. 59. 


10 Inaa., p. 61. 


1 
! A.E. Taylor, Commentary, p. 128. 


212 
formed, and how the communication of these Forms is 
accomplished in the World-Soul. 


The things of which he composed soul and the manner 
of its composition were as follows: Between the 
indivisible existence that is ever in the same 
state, and the divisible existence that becomes 

in bodies, he compounded a third form of existence 
composed of both. Again, in the case of Sameness 
and that of Difference, he also on the same 
principle made a compound intermediate between 
that kind of them which is indivisible and the 
kind that is divisible in bodies. Then, taking 
the three, he blended them all into a unity, 
forcing the nature of difference, hard as it was 
to mingle, into union with sameness, and mixing 
them together with existence (25a-b). 


This passage bears extensive comment, for several of 
its points are crucial to Plato's development of his 
philosophy of time. 

First, it is clear that the Forms have not been 


repudiated by the Timaeus, since the passage begins with a 


description of the Forms which recapitulates their treat- 
ment in the Sophist. The kind of existence which is always 
the same is proper to the Forms, and was proper to the 


Forms as early as the Phaedo and the Republic. But in the 


Sophist, the Different was introduced, based on Plato's 
recognition that it is necessary to say what is-not in 
order to say what is. In short, the entire doctrine of 
notebeing of the Sophist has reappeared in the Timaeus. 
But, just as the initial recapitulation of the Republic at 
the beginning of the Timaeus (28a) does not rest with a 


simple repetition but proceeds further, so here the 


recapitulation of the Sophist doctrine of not-being, on 


213 
the level of the Forms, i.e., Difference, will not end 
Plato's discussion. He means to go beyond this point. Or, 
to put the matter differently, Plato will now investigate 
the relevance of the doctrine of not-being insofar as it 
helps to explain the constitution of the World-Soul. 

The second point to be noticed is the recognition 
that there are, as Cornford translates it, "kinds" of 
existences: there is the "kind" of existence proper to the 
Forms, there is the "kind" of existence proper to divisible 
bodies, and in addition, there is a third "kind" of 
existence, between them, an intermediate existence, proper 
to the Soul of the Universe. Further, these three "kinds" 
are further divided and then further recombined, so that 
there is a whole hierarchy of "kinds" of existence. 
Cornford's diagram is instructive on this point, !@ 


First Mixture Final Mixture 


Indivisible existence 
Divisible existence Intermediate existence 


Indivisible sameness 


Divisible sameness Intermediate sameness Soul 


Indivisible difference 
Divisible difference Intermediate difference 


Note that it is no longer possible to assert that 


there is only one "kind" of existence which deserves the 


le Cornford, loc. cit. "Kinds" is a peculiar 
expression which is repeated here only to assure an 
accurate representation of Cornford's view. 


214 
name, the sort reserved for the Forms in the Republic, 
where all else is mere shadows. In this connection, it 
should be recalled that the Sophist distinguished sharply 
between the kinds of images (eidola), and reached the 


conclusion that some images are false (phantasiai) but 
some are genuine. Of those that are genuine one must 
further distinguish those that are of human origin and 
those that are of divine origin (240a). The Sophist there- 
fore credits images with some sort of existence. But the 
Timaeus does not simply describe the Universe as an 
eidolon, a little Form, so to speak. The Universe is an 


eikon, which now comes to mean that it is like the perfec- 


tion of the most perfect. cut even this is not the high 
point of Plato's analysis, as we shall see. Nevertheless 

it 1s central to the exposition of this passage to notice 
that the doctrine of the Sophist, which makes it necessary 
to somehow include notebeing in the realm of Forms, is now 
recapitulated, but, in addition, it is not only the reality 
of the Forms but the reality of the whole Universe which 
must now be explained. And in this connection, Plato has 
shifted from a description which accords some sort of being 
to images, to a description of the whole Universe as an 


image, and that the transition from eidolon to eikon is 


intrinsic to this development of doctrine. 
Thus, between the two orders of existence with which 
we were formerly acquainted in the Sophist, namely, the 


eternal and the becoming, Plato has now inserted a third. 


215 
This is a further development of his doctrine of proportion, 
of which we saw the first usage in this dialogue in the 
composition of the body of the Universe. The sort of 
mixture which the Philebus prefigures is now developed in 
Plato's attempt to construct the entire Cosmos on this 


basis. But, in the Philebus, the precise details of the 


manner in which this mixture was to be accomplished were 
left somewhat less clear than they are now painted, for 


the Philebus insisted that the cause of the mixture was in 


fact the god, but the god was not described as the maker 
of the whole Universe; he was there only the mixer of the 
Forms in some things. 

This passage, like the passage at 29, is a radical 
innovation on Plato's part, which takes the doctrine of 
the Timaeus far beyond the doctrines of its predecessor- 
dialogues. It is a recapitulation, but the recapitulation 
serves as a basis for an advance. Where once only the 
Forms were ultimately real, now there are "kinds" or 
"sorts" or "levels" of reality; but these are not to be 
distinguished from each other as merely Different; they are 
also the Same, and, further, they are in a proportional 
Unity. The significance of this proportional unity is the 
basis of the succeeding passages, where we notice that the 
basis of knowledge itself has undergone a radical growth. 
And, in addition, the basis of the former division of the 


world into the eternal and the becoming has similarly 


216 
undergone a radical growth, wherein it will no longer be 
possible for Plato to distinguish simply between the eter- 
nal and the becoming as separated realms, but the relation 
of the eternal to the becoming will have to be described 
in a new way. Somehow, the eternal and the becoming will 
be related in a way which will explain how it is possible 
to have an eternal becoming. 

This pertains to the statement that the Universe is 
an image. For, as we saw, the Universe is an image which in 
some way is like its eternal model and yet is a becoming 
image; yet it was not explained how there could be any 
reality to such an intermediary thing. The basis for the 
reality of the Universe as an image has now been laid. For 
the World-Soul itself is neither simply eternal nor simply 
becoming; it 1s a proportional unity of the Same and the 
Different. 

But, from basis to doctrine is not an immediate step. 
The lesson of the Philebus and the Statesman, which was 
the caution not to divide too quickly, but to proceed by 
following the right divisions according to the way things 
are, 1s not foreign to the author of these lessons. Before 
he gives the details of the reconciliation between eternal 
being and mere becoming, Plato follows out the division of 
the World-Soul into its precise portions. 

Of course, we should not expect that Plato's 
passages on the motions of the planets will be adequate 


from the point of view of contemporary astronomy, so that 


217 
a detailed commentary on the exact motions of the planets 
will be of interest only to those whose taste runs to 
collecting the opinions of the ancients and constructing a 
history of opinions with no care about their relevance or 
utility to contemporary experience. Plato had no Galileo 
to instruct him, nor a Newton. Furthermore, the invention 
of the telescope and the mass spectrometer have outmoded 
most of Plato’s astronomy. But it is interesting to note 
that Plato looked to astronomy as a case in point. For, if 
the World-Soul united the Same and the Different within 
4tself, and if the World-Soul, by reason of its superior 
dignity, is actually responsible for the motions of the 
planets, it should follow that the revolutions of the 
planets will occur in what Plato will describe as the 
revolution of the Same, the Different, and their Unity in 
the revolution of the uniforn. 

This is precisely the description which we confront 
in Plato's astronomy. It emerges that the seven divisions 
of the Soul are intermediate between the seven basic 
Forms, on the one hand, and the seven planetary distances, 
on the other, which in turn are proportional to the seven 
basic string lengths. Plato tells us that the harmony of 
the musical scale is only one level (or sort, or kind) of 
harmony, and that the Soul of the World is itself an 
intermediate between the ultimate Forms and the body of 


the Universe. The fundamental truth is the assertion of 


218 
proportionality and the harmony of the elements of the 
proportions. !> Plato goes on to construct an intricate 
allegory of the circles of the Same and of the Different; 
he describes how these circles have been joined in the 
center of the Soul, and how the revolution of the Same 
circumscribes the revolution of the Different (the allegor- 
ical indication that the Same is the "outer" limit of the 
Different). The seven circles of the Soul represent the 
proportional share which the Soul has in the seven Forms, '4 
just as the seven tones reflect the seven planetary dis- 
tances, The point is not merely the number of circles, but 
the motion of the circles, since planets and music certain- 
ly move. 

Plato tries very hard to make his allegory exact in 
every detail. He indicates that motions are shared 
proportionately by the seven planets, which means, (as 
A.E. Taylor has seen 13) that Plato anticipated our own 
contemporary relativity theory of motion. (Heisenberg 
makes the same point 16), It 48 anticlimactic to note that 
Plato knew the solar system to be heliocentric, although 


this 1s not universally agreed upon. 


13 T.T. Taylor, op, cit., Introduction. 
es According to T.T. Taylor, loc, cit. 


15 A.E,Taylor, Commentary, Appendix. 


16 Heisenberg, Physics and Philosophy, ch. 4. See 
also MacKinnon, "Time in Contemporary Physics," pp. 428-457. 


219 

Plato next relates the seven motions of the Soul 
to the seven dimensions of the body, which is fashioned 
later than Soul, although it was described earlier. He 
says in summary; 

-e-the soul, being everywhere interwoven from the 

center to the outermost heaven, enveloping heaven 

all around on the outside, revolving within its 

own limits, made a divine beginning of ceaseless 

and intelligent life for all time (36e). 

It 1s unnecessary to point out in this age of 
possible thermonuclear holocaust that Plato's optimism is 
derived from the perfection of the Universe which is the 
image of the perfection of the model, and not from the 
sort of empirical observation which has created pessimism 
in many quarters. However, one should note that Plato's 


Sicilian adventures did result in a sadness which Plato 


describes in his Seventh Letter. The difference between 


Plato's sadness over the outcome of Sicilian politics and 
the contemporary pessinism lies in the world-wide scale 

on which contemporary destruction can be accomplished. One 
might wish to derive a sense of optimism from the possibil- 
ity that the Universe will go on even if the planet earth 
does not harbor any human life. For Plato refers to the 
life of the World-Soul as it inspires the body of the 
Universe, and not to the life of man, which, Plato was 
aware, 1s all too short. In the Myth of Er, the Republic 
describes the life of man as a span of one hundred years, 
and the cycle of good life as a span of ten thousand years. 


Here in the Timaeus intelligen life is "ceaseless." 


220 


But the discourse concerning the World-Soul was not 
written only to illustrate that Plato was master of the 
Pythagorean system of numbers. Where Pythagoras would 
derive the proportions of any body from the numbers 1, 2, 
3, and 4, Plato establishes harmonic intervals which do not 
sum to the perfect number 10; instead, he leaves the end 
of the proportions open, so that the scale of tones or the 
planetary differences might be further calculated, if one 
wished. '7 Here one could agree with A.E. Taylor that Plato 
has given a "provisional" tone to his dialogue, 8 but, at 
the same time, one would have to disagree that Timaeus does 
nothing more than recite fifth-century Pythagoreanism, for 
Plato's Universe is not strictly Pythagorean. There seem 
to be several reasons for this, not the least of which is 
Plato's use of Pythagorean numerology in a description of a 
Universe which has far more complexity, and, at the same 
time, far more simplicity than the Universe of Pythagoras. 
This is most evident in the Pythagorean insistence that the 
Forms (numbers) are the ultimately real, and the World of 
appearance is less real. In what follows, Plato will reveal 
that there is a kind of knowledge proper to the World-Soul 
which transcends a knowledge of number, by including it in 


&@ more comprehensive knowledge. 


'T Dodds, op. cit. 


18 A.E. Taylor, Commentary, p. 113. 


221 

Thus, the body of the Universe is visible, but the 
Soul of the Universe is invisible, and is the "best of 
things brought into being by the most excellent of things 
intelligible and eternal" (37a). Because the Soul has been 
blended out of the Same, the Different, and the Existent, 
she is "in contact with anything that has dispersed exis- 
tence or with anything whose existence is indivisible" (37a) 
In this way the Soul is like anything that is, and it can 
therefore know anything that is, “either in the sphere of 
things that become or with regard to things that are always 
changeless" (37b). 

Thus, even though the World-Soul is the intermediate 
form of existence between what is eternal and what becomes, 
Plato can still say that there are two "levels" of existence, 
one eternal and one becoming. But he no longer says that 
there are only two forms of existence, nor that these two 
"levels" or spheres are exhaustive of all existence. Since 
the Soul is intermediate, it is a third “level” of existence. 
Yet, one courts danger by the simple enumeration of the 
number of forms of existence for one misses the whole 
emphasis which Plato has put on proportionality throughout 
the Timaeus. The Soul could not know either realm if it 


were simply in between the eternal and the becoming; the 
point is that the Soul is in a proportional unity with the 
eternal and the becoming, and so, it is part of each and 
each is part of it. Plato tells us in the following 


passage that both the circle of the same and the circle 


ke) 


222 


of the different transport their respective judgments into 


the Soul: 

Now whenever discourse that is alike true, whether 

it takes place concerning that which is different 

or that which is the same, being carried on without 

speech or sound within the thing that is self-moved, 

is about that which is sensible, and the circle of 
the different, moving aright, carriea its message 
through all its soul-then there arise judgments 

and beliefs that are sure and true. But whenever 

discourse is concerned only with the rational, 

and the circle of the same, running smoothly, 

declares it, the result must be rational 

understanding and knowledge (37b, c). 

Several features of this passage bear comment. First, 
it states that belief arises from the circle of the 
Different, (which includes the realm of the many, the 
dispersed, and the sensible objects of perception) and that 
beliefs must be sure and true if they arise from the 
proper revolution of the circle of the Different. Second, 
it describes this sort of judgment as intrinsic to the 
World-Soul, and not an inferior sort of knowledge. For the 
Same and the Different constitute Soul; no longer is Soul 
only the superior portion of the divided line. Third, the 
knowledge of the Same and the knowledge of the Different 
both comprise Soul, and are both proper functions of Soul, 
having allegorically, the relation to each other of 
proportionality. This is not to say that rational knowledge 
alone is not better; rather, it asserts that belief and 
opinion are not bad or impossible. Both judgments are 
necessary to what Soul is, and both sorts of knowledge arise 


when Soul does what Soul does; namely, generate the motions 


223 
of the Universe. Lastly, the judgment by the Soul is 
called an aesthesis, which, unlike the English word 


"judgment," extends to feeling and to the appreciation of 
beauty as well as of truth. This capacity to Know aesthetic- 
‘ally is of the utmost significance in Plato's Universe, and 
it is especially necessary for a consideration of the next 
topic to which Plato addresses himself, namely, time. For 

if time is a Form then reason alone will comprehend it. But 
if time is an image, then its beauty is as important as its 
truth. 

V Time as Image (to 39e) 

Up to this point in his development of the construc- 
tion of the Universe, Plato has insisted that the Universe 
embodies in its proportional way the perfection of its 
model, and yet the model is consistently described as 
eternal, while the Universe is said to be an eternal becom- 
ing. The Universe is described throughout the foregoing 
passages as a reality which is as perfect as it can be, and 
yet Plato nowhere says how a visible and tangible body can 
be like its eternal indivisible model. Even the existence 
of the World-Soul and its participation in the whole of the 
Universe, in its divisible as well as its indivisible aspects 
that is, in its sameness and in its difference, is not 
sufficient to confer on the Universe the closest approximna- 
tion to the perfection of the eternal model, even though 
Plato usually attributes the highest perfections to Soul. 


In the following passage, Plato finally makes explicit the 


224 
way in which the Universe of becoming most resembles the 
eternity of its model. To all the perfection which he has 
attributed to the Universe, including intelligence, 
judgment, and uniform revolution, he now adds the perfection 
which enables the Universe to resemble its eternal model 
to the fullest extent possible, the ultimate perfection of 
which the Universe is capable. Plato writes: 

When the father who had begotten it saw it set in 

motion and alive, a shrine brought into being for 

the everlasting gods, he rejoiced and being well 

pleased he took thought to make it yet more like 

its pattern (37c). 

When the Universe was set "in motion and made alive," 
the requirements which Socrates had laid down in the 
beginning of the dialogue were met. However, Plato does 
not end his sentence on this condition; he adds that the 
Universe was alive and in motion, and, in addition, it was 
a shrine (agalma). This peculiar word has caused the 
commentators no small difficulty.'9 Its meaning is not 
fixed and precise, since it may mean a statue or it may 
mean a thing of joy. But the connotation of the word 
suggests that either the statue or the thing of joy are 
made by the lover who beholds in the statue an image of 
his loved one, which makes the agalma both a statue and 
a thing of joy. One recalls that the dialogues of the late 


period, especially the Sophist, have consistently lent 


49 aly, Taylor, Cornford, Archer-Hind, Bury. 


225 
themselves to an exposition of the difference betweer a 
mere statue, which may or may not be faithful to the 
proportions of the original model, and a genuine image, - 
which is faithful to the proportions of the original model. 
The agaima is not only faithful to its original model but 
the model is a loved one whose very visage brings joy to 
the heart of the beholder. Heretofore, the Universe was 
described as an image, (eikon) but in this passage it is 
described as agalma, an image which brings joy to the 
heart of the beholder. 

But the Sophist distinguished between human and 
divine images. One can understand that a human craftsman 
might take delight in an image of his loved one, but when 
the maker of the Universe takes delight in the image of 
the perfection of the eternal model, it is another matter. 
For this image is said to be a shrine for the everlasting 
gods, and the plural is unmistakable. For the plural gods 
have not made the Universe; this was the work of the 
demiurge; yet the Universe is not described as a shrine 
for the demiurge but for the everlasting gods. It is 
tempting to conclude from what first seems to be a glaring 
inconsistency that Plato had made the Universe to be a 
place in which the gods may worship the Living Being who 
is the model of the Universe. Or, going beyond the surface 
of the allegory, one might conclude that the One Living 
Being who is the maker of the Universe takes delight in 
Himself in the image of Himself which is called the 


226 
Universe, since Plato clearly says that the maker rejoiced 
when he beheld it. But it is first necessary to state that 
Plato does not offer these interpretations himself, and we 
are forced once again to remind ourselves that the finding 
of the maker of the Universe is a hard task and the 
revelation of the maker to all mankind is impossible. It 
seems best to interpret the passage in the light of Plato's 
own statement that the exact and specific description of 
the maker is impossible. Nor does it seem wise to expect 
that Plato is trying to bring us to the point where we 
ourselves experience the reality behind the veil of 
allegory, in the hope that we will experience what he means, 
even though he does not say it explicitly. Although this 
might very well be Plato's intention, we have no way of 
knowing whether he has designed this passage, indeed, this 
entire dialogue, to create the basis of such an experience, 
Although it is impossible to pretend that we do not 
project our own views on to the structure of Plato's 
philosophy, since we are moderns and our minds are attuned, 
as it were, to our own era, nevertheless we ought to 
attempt to plumb Plato's meaning, so far as we can. To 
assert that this is impossible is to abandon all historical 
scholarship; to assert that this poses no difficulty at all 
is naivyete in the extreme. Thus, despite the agreement 
which Augustine and many other philosophers felt when 
confronting this passage, we ought not to conclude that 


Plato has “anticipated,” as the saying goes, the doctrines 


227 
of Christianity. One could as well say that the ineffabil- 
ity which characterizes Plato's maker of the Universe is 
due to his acquaintance with Buddhist or Mosaic doctrines 
of the ineffability of the Divine. 

One must rest at Plato's statement that the Universe 
is an agalma, and that the maker rejoiced when he saw that 
it was alive and in motion. In the Phaedrus (at 252d) 
there is a similar usage of agalma, in which the lover 
chooses his love (eros) as if the love were a shrine 


(agalma). There is another use in the Laws (931a) where 


parents who receive proper veneration from their children 
are regarded as instances of agalma. 

However, one must recall that Plato has said all 
through the Timaeus that the Universe was fashioned by the 
demiurge, who in turn looks to the perfection of the 
eternal model, and not to himself as the locus of the 
eternal model, so that the simple equation of the eternal 
model with the demiurge runs counter to the stated details 
of the allegory. Again, it would seem to be a modern 
projection to interpret this division of the model from the 
demiurge as a justification for the claim that Plato 
distinguished the Father from the Creator. From such an 
interpretation one could reach out to the conclusion that, 
for Plato, Summun Bonum est diffusivum Sui, but this 
stretches interpretation far beyond Plato's stated words. 

The attempt on the part of some commentators to 


assert or to deny these implications of Plato's words, 


228 
then, seems to represent an attempt to fit Plato's 
meaning into more contemporary doctrines. One cannot quar- 
rel with those who find inspiration in Plato's text, but 
this is not the question. The question is, what did Plato 
mean? And in this context, it seems beside the point to 
fit Platonism into more recent doctrines of creation, and 
rather more to the point to relate the details of Plato's 
intricate allegory to what is clearly demonstrable and 
attributable to Plato as a fourthecentury genius, and not 
@ twentieth-century commentator on twentieth-century 
investigations. The great controversy which Plato's 
demiurge has created will not be settled in these pages. 
The point under discussion is the distinction between the 
Universe as a shrine and the Universe as an image, and the 
fact that Plato described the Universe as an image (eikon) 
throughout the preceding passages, but now refers to it as 
a shrine (agalma). 

But a relatively full view of this shift of emphasis 
must include stylistic as well as theological considerations. 
For, Plato will put forward in the next few passages, a 
doctrine of time as a special sort of image, and, in 
order to avoid calling both the Universe and time by the 
same name, Plato has elevated the Universe to the status of 
& shrine-image so that he can refer to time as another 


sort of image. Recall that the beginning of the Timaeus 


confronts the reader with the need to avoid blasphemy, and 


yet the equally insistent need not to demean the Universe 


229 
or to rob it of any due measure of perfection. Thus the 
Universe as a shrine becomes the locus of divine function, 
and as we shall see, the Universe as temporal becomes the 
manner of divine function: respectively the place where 
the demiurge acts and the way in which he acts. There is a 
further note which should be added. For a shrine may be 
occasionally empty of the presence of the god to whom it 
is dedicated, or it may be filled with his presence. And 
it is precisely this distinction which bears on the 
following passage. For the Universe has so far been endowed 
with body and Soul, but the maker sought to make 1t yet 
more like its eternal model, not only a shrine in space 
but in some way an eternal shrine, as much like its model 
as it can be. 

(Just )2° as that pattern is the Living Being that 

is forever existent, so he sought to make this 

Universe also like it, so far as it might be, in 

that respect. Now the nature of the Living Being 

was eternal, and this character it was impossible 

to confer in full completeness on the generated 

thing (374d). 

Here Plato speaks the paradox which has run through 
the previous discussion of the Universe as an eternal 
becoming. He states openly that the model is the Living 
Being who is eternal but the Universe is a generated thing 


which therefore cannot be eternal in the same way. It 1s 


this difference between the model and the Universe which 


20 Cornford has "So." 


230 
must be reconciled in order to describe the Universe as a 
thing which is as much like its model as possible. And to 
accomplish this, Plato says: 

But he took thought to make, as it were, a moving 

likeness (eikona) of eternity; and at the same 

time that he ordered heaven, he made, of eternity 

that abides in unity, an everlasting likeness 

moving according to number-that to which we have 

given the name Time (37d). 

In this passage, the themes of eternity, image, and 
time culminate in a synthesis, of which there are several 
aspects. First, notice that the act of the demiurge which 
brought order to the original chaos, which Plato has 
already described, is said in this passage to be the same 
act as the act of making time. Second, notice that time as 
an image is made, not of chaos but of eternity. Third, 
note that Time is a moving image and an everlasting image. 
Fourth, note that Time is said to move according to number, 
Fifth, note that we have given it the name of Time. I shall 
discuss each of these aspects in turn. 

1. The activity of the demiurge.--The Universe has been 
described throughout the Timaeus as made by an act of the 


demiurge, whose activity brings order out of the discordant 
motions which confront him. This feature of the allegory 
has elicited much comment, and some of the commentators 
would like to conclude that the demiurge does not create 
ex nihilo because Plato clearly says that the demiurge 


was confronted by a chaos of discordant motions. ©! Others 


21 Cornford, op. cit. 


231 
would like to conclude that it is merely a detail of the 
allegory which does not jibe with the details of literal 
experience, so that one can dismiss the chaos as only a 
mythical element but not a real thing. Both views seem 


unnecessary, for Plato was neither writing mere allegory 


nor Christian Theology. It seems more to the point to show 
that Plato once before introduced a prior consideration 
into his account after he has introduced a later considera- 
tion, as we saw, for example, when he described the World- 
Soul after the World-body. There, it was to give the reader 
the necessary materials out of which he could fashion the 
image through which Plato put forward his account of the 
process. Plato of course attributes to Soul a superior sort 
of perfection than that which he attributes to body, but 
not because these parts of the Universe stand in an 
external hierarchy of items which are spatially and exis- 
tentially discrete; rather, the proportional unity of the 
entire Universe is his primary desideratum, and he says 
repeatedly that the Universe is an image, and that we 
must see it as we see images, in their unity. But one 
cannot simply call off a list of parts if one wishes the 
reader to appreciate and know the unity of the image, since 
the list would create the impression of a linear, serial 
juxtaposition of parts, whereas the Universe is the most 
excellent unity of things that have become. 

So here, the doctrine of Time, the aspect of the 


Universe by which it most resembles its eternal model, has 


232 
been introduced last in the account of the perfected 
Universe, and we are told that the making of Time is 
accomplished by the demiurge in the same act as the order~ 
ing of the original chaos. Plato has again introduced the 
most difficult aspect of the doctrine he is fashioning, 
after the materials have been- provided for the reader to 
see the doctrine in its unity. Logically, since the act of 
ordering the Universe is the same as the act of making Time, 
one might expect that these two aspects of the act of 
constructing the Universe should have been discussed toget~ 
her. But this runs into a severe difficulty, which is the 
simple fact that Plato did not do so, which leads to the 
contradiction that what we should expect Plato to say is 
not what we should expect Plato to say; in other words, if 
we are being faithful to the development of Plato's logic, 
we ought not to expect him to put the making of Time and 
the making of order into the same paragraph since he did 
not do so. It is only necessary to perceive that these 
aspects are united better in an image than by serial logic, 
to follow Plato's meaning as exactly as he states it. Thus 
the function of image as an explanation of the relation 
between time and eternity is not less than logical; on the 
contrary, the image provides the basis to transcend the 
linear appearance of philosophical logic and to reach into 
the heart of Plato's doctrine of the Unity of the Universe. 


2. Time is said to be made as an image of eternity.--At 
first, this seems to mean that the demiurge fashioned the 


233 
Universe out of the material of an original chaos, but 
fashioned Time out of the material of eternity. This is 
not only a philosophical difficulty but also a function of 
translation. For, in English (American?) we say that 
something 1s an image of something, which does not mean, 
for example, that the image of Freud, is made out of the 
material of his flesh. An image of Freud can be made of 
photosensitive paper, of clay, or bronze, or the graphite 
scratchings of a pencil, or colored pigments, etc. However, 
when one discusses the Universe as an image, a Universe 
which has been described as exhausting all of the four 
elements out of which it is made, what can the image be 
made of. But the answer stares us in the face. Plato has 
said that the Universe is a Unity of the four elements of 
fire, earth, air, and water, which has Soul indivisibly in 
each and every one of its parts. One cannot then expect the 
image, which the Universe is, to be made of any one of these 
so-called ingredients; the Universe is an image precisely 
because it is a Unity. Just as the Universe is a Unity, so 
4s it an image, and one can as reasonably ask of what is 
unity made as one can ask of what is an image made. The 
Universe, as image, is like the Soul of the Universe; it 
is indivisible from its existence. Thus, insofar as Time 
is an image, it is not compounded out of the elements of 
chaos or out of the perfection of eternity. Time as image 
is Plato's way of describing, "as it were," the temporal 


-unity of the Universe. The phrase "made of" seems 


234 
ambiguous only because in English, the preposition "of" 
is sometimes used to indicate apposition, sometimes to 
indicate the genitive, as in derivation. The "of" here is 
appositive. 
3. Time is said to be a moving image, and an everlasting 
one.--We have already been given the ingredients of this 
aspect of the Universe from which we may construct an image. 
For the motions of the circles of the planets have been 
described as due to the ordering perfection of the Soul of 
the Universe, and we are aware that the several motions of 
the circles within the Universe take place within that 
sort of motion which is best suited to the perfection of 
the Universe, namely, uniform rotation. Because Uniform 
rotation is the best sort of motion, which best suits the 
sort of perfection the Yniverse has, we know that the 
Universe is a sphere which revolves and comprehends all the 
other motions of the circles within itself. Just as the 
Soul comprehends all that can be comprehended because it is 
indivisible from every area of the Universe, so uniform 
rotation includes the several motions of the circles which 
revolve within the sphere of the Universe. The question now 
arises whether the motion which characterizes Time is the 
uniform motion of the entire sphere itself, considered 
apart from the subsidiary motion of the interior circles, 
or whether it is one of the lesser motions of one or some 
of these circles, or whether it is all of these motions 


in some sort of unity. But we have been given the material 


235 
from which to reach this conclusion, for we have been told 
that the making of Time is the same act as the making of 
order. Thus, Time is the proportional unity of all the 
motions of all the circles, including the motion of the 
outer sphere, insofar as these are a unity. For, as order 
unifies chaos, Time unifies motion. Once order has brought 
the elements of chaos into a unity, they are no longer 
elements of chaos, but of unity. So, once Time has brought 
unity into the several motions of the circles, they are no 
longer only several circles, but are now the elements of 
the proportional Unity of Time. It would be wrong to 
suppose that order is the principle according to which the 
many elements of the spatial universe have been united 
into a One and that Time is the principle according to 
which the many elements of the temporal Universe have been 
united into a One, because that would lead to the conclu- 
8ion that there are two Ones. Two Ones would create the 
third man problem which has been adduced already in the 
Timaeus to show that the Universe is One and only One, or 
one One. The Universe is a radical Unity, not simply of 
spaces and Times, but, one ought to say, of Time-space. 

At the same time, however, one must assert that the Unity 
of the Universe is not a simply homogeneity without parts, 
for that would be the destruction and not the construction 
of a Universe. Plato's Universe is neither atomistic nor 
pantheistic; it is a unity of proportional realities, a 


moving image. 


236 

The second aspect of the moving image is the ever- 
lasting character of its motion. Again, we have been fur- 
nished with the material to construct an understanding of 
this characteristic. ‘e have already called attention to 
Plato's optimism in his use of the word "ceaseless," by 
which he seems to indicate that the Universe must resemble 
eternity by being indestructible. This feature of the 
Universe might well be called its alleged immortality, and 
it is therefore appropriate to recall again that the 
Universe exhausted all the elements out of which it was 
fashioned. It was said, on this basis, that there were no 
forces outside of it which might attack it and that it 
was therefore impervious to age and sickness. There is 
nothing outside the Universe which might attack it and so 
it must be immortal, ceaseless, indestrutible, everlasting. 
Can Plato have concluded naively that there are no dangers 
to which the Universe is subject? To answer this, it is 
necessary to recall the reservation with which the whole 
character of Time has been prefaced. Plato says clearly 
that the perfection of Time was given to the Universe as 
far as it was possible to do so. but why should it not be 
fully possible? For two reasons. First, if the Universe 
were as eternal as its model it would be identical with 
its model and there would then be no difference between the 
model and the reality. But this cannot be, for the Universe, 
being visible, must have been generated, and must therefore 


-have been fashioned on a model. Secondly, throughout his 


237 
philosophy, Plato repeatedly uses the phrase "as far as 
possible" without giving a doctrine of possibility which 
would explain the meaning of the phrase. Both the need for 
a model and the limit of possibility are related to the 
doctrine of notebeing. The meaning of this doctrine of 
not-being for the realm of the Forms, was first revealed in 
the Sophist, where it becomes the Different. The Universe 
is both the same as and different from its model, so that 
it is like its model and yet it is-not like its model. 
Having said that the Universe is a Unity of the Same and 
the Different, and having said that Time gives the closest 
approximation to perfection that the generated Universe 
can attain, one should expect that Plato will now develop 
his doctrine of notebeing on a cosmological scale, as he 
has developed his doctrines of eternity and image and Time 
on a cosmological scale. This new doctrine of cosmic note 
being is found in the second half of the dialogue, where 
the relation of necessity and the receptacle of becoming 
is discussed. One can conclude at this point only that the 
perfection of Time is as perfect as it is possible for the 
demiurge to make it, but, since the demiurge is not 
absolutely omnipotent, the full character of eternity could 
not be conferred on the Universe. The demiurge must 
persuade necessity, not force it. 

Or, to put the matter in another way, insofar as the 
perfection of the Universe depends on the activity of the 


rational demiurge, it is perfect; but insofar as the 


238 
Universe depends on the reluctance of necessity to be 
persuaded by the demiurge, it lacks perfection. Thus the 
everlasting image, which we call Time, is subject to the 
recalcitrance of necessity. In recognising this, we rescue 
Plato from the charge of naive optimism, for the perfection 
of the Universe is its everlasting character, but this is 
not the same as asserting that the Universe is absolutely 
perfect; even Time must confront necessity. 
4, Time 18 said to move according to number.--Again, we 
have been furnished with the material to understand this 
assertion. We know already that the Universe considered as 
a whole is a sphere, but considered as the proportional 
unity of the many circles and living beings which inhabit 
it, it 18 a populated sphere. Thus Time is neither the 
revolution only of the outer periphery nor only the sum of 
the rotations of the many circles which inhabit the inter- 
ior of the sphere. Time is the order which the One Universe 
enjoys; (correlatively, the order of the Universe is the 
Time it enjoys). Time encompasses both the Unity and the 
multiplicity of the Universe insofar as it is the perfec- 
tion of the Universe which makes it most like its eternal 
model. It would be a serious misreading of this phrase to 
assert that Plato's Universe is simply a Pythagorean 
Universe because Time moves in it according to number. 
Such a view focuses on the plurality of motions within the 
Universe but ignores the proportional Unity which these 


motions have in the Universe. This is not to say that 


239 
Plato's Universe is non-Pythagorean. On the contrary, there 
is a great deal of Pythagorean wisdom in this dialogue, and 
one should not forget that Timaeus, the principle speaker 
of the dialogue, is represented as a Pythagorean. But it is 
a long way from the assertion that there are Pythagorean 


elements and themes in Plato's Timaeus to the assertion 


that the whole dialogue is only a Pythagorean tale. Time 
moves, no doubt. Time orders the Universe. And the many 
motions which the Universe includes are not excluded from 
the ordering perfection which Time brings to the Universe. 
But it seems more reasonable to say that Time moves the 
many, and that Time brings order to the many by moving 
them in accordance with the perfection of which Time is the 
image. To derive the reality of Time from the number of 
motions in the Universe would be tantamount to the 
assertion that Time is a subsidiary perfection of multi- 
plicity, whereas the passage clearly states that Time 
brings the Universe into a closer and more perfect relation 
to its eternal model. 

5. We have given it the name Time.--Once before, Plato 
expressed a desire to use the right name for the Universe, 
and he said there that we ought to give the name to it 
which is most appropriate and acceptable to it (24b). It 

is inetructive to recall that the difficulty of finding 
the right name would remind Plato of Cratylus, his first 
teacher, as it calls up for us the dialogue which bears 


_his name. But one should also recall that the difficulty 


240 
of finding the right name for the Universe, and for Time, 
are related to Plato's concern to avoid blasphemy. For we 
must remember that the majority of simple Athenians had 
deities and names for those aspects of the Universe which 
they regarded as mysterious. Thus the name of Time could 
very well have precipitated controversial discussions in 
Plato's Athens which could swell to the dimensions which 
they had reached with Socrates. The Phaedo would convince 
anyone that Plato was not afraid of death, and so it does 
not follow that Plato is cautious out of fear. It is better 
to think that Plato regarded thinking through the doctrine 
of the Timaeus as a more important work than entering into 
a polemic with those who could not understand it, especially 
if we are correct in asserting that the Timacus is not only 
a synthesis of doctrine but a preparation for the Critias 
and the Laws, which were intended to have direct political 
influence. 

These five aspects of Plato's doctrine of Time, then, 
show that Plato has come to relate eternity, image, and 
Time in a new synthesis, which passes far beyond the way in 
which these doctrines were treated separately in prior 
dialogues. But we shall not conclude that the passage just 
discussed is sufficient to establish our hypothesis, for 
Plato has not completed his discussion of Time. Before we 
can conclude that Plato's image of Time is the high 
synthesis we claim it to be, we ought to have the entirety 


of Plato's doctrine of Time before us. 


241 

Before adding, the final details, perhaps a small 
summing up is in order. Plato has said that the Universe 
is a shrine, and that its deepest perfection is its 
temporality, which is the way it is ordered. Time is a 
moving image, because the Universe resembles its eternal 
model as closely as possible. 

Plato now speaks of the parts of Time, having already 
spoken of the Unity of Time. He says that there were no 
days and nights, or months and years, before the Universe 
came to be, and that all of these came into being simulta- 
neously. However, he says 

All these are parts of Time, and ‘was' and ‘shall be' 
are forms of Time that have come to be; we are wrong 
to transfer them unthinkingly to eternal being. We 
say that it was and is and shall be but '1is' alone 
really belongs to it and describes it truly; 'was' 
and ‘shall be’ are properly used of becoming which 
proceeds in Time, for they are motions (37e). 

There is much that is important in this passage, but 
the central point which concerns our exposition of Time is 
the phrase “becoming which proceeds in Time.” By this small 
phrase, Plato indicates that there is a distinction to be 
made between becoming and Time, and that these two worda 
do not indicate the same reality. It is important to notice 
that the familiar antithesis between eternity and time is 
not identical with the antithesis of eternity and becoming. 
For it is clearly said that becoming proceeds in Time. We 
must attempt to see how Plato relates Time, Becoming, and 


eternity in a meaningful way. Plato does not put them in 


_@ simple juxtaposition, for there are clearly three of 


é 
“ 


242 
them, and their relation to each other is not a simple 
opposition. We have seen that Time introduces the perfect 
order which characterizes the Universe, and we have been 
told that the Universe is a becoming image. How are these 
statements to be reconciled so that the Universe may 
continue to have the perfection which it has been said to 
have. The key to this problem is given in the following: 

But that which is forever in the same state 

immovably cannot be becoming older or younger 

by lapse of time nor can it ever become s0; 

neither can it now have been nor will it be 

in the future; and in general nothing belongs 

to it of all that Becoming attaches to the 

moving things of sense; but these have come 

into being as forms of Time, which images 

eternity and revolves according to number (38a). 

The important consideration here is the phrase 
"moving things of sense," for it specifies the realm of 
becoming, as the realm of the moving things of sense. Here 
is Plato's familiar doctrine that the things of sense keep 
moving and therefore give rise to difficulties for the 
intelligence which would like them to be still so that the 
things of sense would be as stable as the names we give to 
them. But the context of the doctrine has been changed. 
Formerly, intelligence had to go beyond the merely visible 
because the constant changes in the visible realm made 
knowledge impossible. This early conviction of Plato led 
to the theory of Forms, which are eternal and therefore 
sufficiently stable for intellectual comprehension. But 


now, the greatest perfection of which the Universe is 


capable is the perfection which Time brings as the 


243 
principle of order. We are now informed that becoming 
proceeds in Time. Thus it is inexact to say “...that what 
is past is past, what happens now is happening, and again 
what will happen is what will happen, and that the non- 
existent is the non-existent" (38b). Plato has affirmed 
that the ordering of the Universe has been made even more 
like its model by Time, the moving image of eternity. The 
theory of the Forms, up to this point, has told us that 
things share in Forms and therefore achieve a certain 
resemblance to being. But Plato tells us now that resem-= 
blance is not enough, for it leaves too wide a gap between 
being and becoming. Thus the Forms by which things resemble 
being are further perfected by Time, by which, things share 
in the eternity of being, as much as possible. Time, then, 
even perfects the Forms because Time helps things share in 
the intimacy of eternity's own nature. By Time, things 
share in the divine ordering of the Universe. 

Time came into being together with the Heaven in 

order that, as they were brought together, so 

they might be dissolved together, if ever their 

dissolution should come to pass: and it is made 

after the pattern of the everenduring nature, in 

order that it may be as like that pattern as 

possible: for the pattern is a thing that has 

being for all eternity, whereas the Heaven has 

been and is and shall be perpetually throughout 

all time (38b, c). 

Thus Time embraces all. By it, becoming most "becomes" 
Being. It has been generated like the forms of Time but it 


transcends them, because it has been made to increase the 


great intimacy which becoming has been brought to have 


244 
with Being. 

This could be paraphrased in several ways. One could 
speak of the relation between becoming and being as that 
of Time, such that they are constituted by that relation 
with respect to each other. One could say that Time is the 
consummation of the contact which becoming and being have 
with each other. One could speak in Hegelian language and 
say that Time is the Mediation of Becoming, by which 
becoming “becomes"being. But out of profound admiration for 
Plato's greatness as a stylist, Plato's imagery should be 
retained. But the truth must be understood as well as seen. 
"Time, the moving image of eternity," is spoken in the 
language of philosophical poetry, a language largely of 
Plato's invention. The phrase is beautiful as well as 
truthful, for it not only relates the realms of eternity and 
becoming truthfully but it also relates them beautifully, 
in the kind of elegant simplicity we expect of great truths. 
Time has so perfected the Universe that what merely becomes 
incessantly is now enabled to share in the perfection of 
eternal being. Time transfigures what merely becomes into 
what really is, without destroying its becoming. 

Thus it is not illegitimate to ask "where is time," 
and Plato answers that, since the World-Soul is responsible 
both for the order and the motion of the numbered Universe, 
Time lives in the Soul of the Universe. Time accomplishes 
the ceaseless transcendence of becoming, for, by Time, 


things which only became, now "become" being. 


245 

It is important to state that Time does not so 
completely accomplish its transfiguration of mere becoming 
that nothing any longer becomes; the unification which Time 
introduces into the manifold realm of becoming is a 
proportional Unity, so that becoming no longer needs to te 
excluded from the perfection of the Universe, but can now 
enter into it on its own terms. Things which become, become 
intelligible by Time, because Time introduces order into 
their motions, whereas ceaseless becoming as such, unorder- 
ed by Time, has no order at all, and hence no intelligibil- 
ity. Thus, where once Plato insisted that only the eternal 
is intelligible, now he asserts that Time brings becoming 
into the realm of the intelligible by introducing order 
into the realm of the incessantly becoming. 

The basis for the often-asserted statement that 
Plato's image of Time is circular, derives in part from his 
description of the Universe as a sphere which revolves 
uniformly, and in part from the following passage: 

In virtue then of this plan and intent of the god 

for the birth of Time, in order that Time might 

be brought into being, Sun, Moon, and five other 

stars-wanderers as they are called 22 were made 

to define and preserve the numbers of Time. 

Having made a body for each of them, the god set 

them in orbits 23 in which the revolution of the 


Different was movingein seven orbits seven 
bodies (38c). 


22 They do not really wander; see Laws 822a. 


Cornford has "circuits." 


246 

It 1s not necessary to follow Plato into the 
detailed descriptions which he gives for the motions of 
each of the planets and for each of the spheres, since as 
we noted previously, his observations were limited as much 
by the lack of such modern instruments as the telescope, 
the mass spectrometer, radio telescopes and 200-inch lenses 
as by the absence of Kepler, Copernicus, and Newton. The 
general point is this; Time is the perfection of the 
Universe and is coterminous with the ordering activity of 
the demiurge; the numbers of Time, corresponding to the 
many of bodies, are made visible by the bodies we call 
Planets, which revolve both in their various orbits within 
the circle of the Different and the circle of the Same. 
Time gives rise to the orderly motions of the bodies 
called the planets and the stars. "Thus for these reasons 
day and night came into being, the period of the single 
and most intelligent revolution" (39c). And again: 

In this way then, and for these ends were brought 

into being all those stars that have turnings on 

their journey through the Heaven: in order that 

this world may be as like as possible to the 

perfect and intelligible Living Being in respect 

of imitating its ever-enduring nature (39e). 

The planets, then, are living beings who follow out 
prescribed courses according to number, But the perfection 
of the Universe which Time introduces is not merely the 
month or the year or the day or the night; these are the 
numbers of Time, just as was ard shall be are the forms 


of Time. Time, the reality, is the order of the Universe in 


247 
motion. Time is neither motion nor the result of motion 
(indeed, quite the reverse is true; motion is the result 
of the order which the demiurge elicits from chaos). Nor 
is Time becoming, for becoming proceeds in Time. In short, 
Time is the Life of the Universe, which was foreshadowed 
in the Sophist, where the Stranger Bays: 

And, Oh Heavens, can we ever be made to believe 
that motion and lite and soul and mind are not 
present with sNeing. Can we imagine Being to be 


devoid of life and mind, and to remain in awful 
unmeaning and everlasting fixture (249a)? 


248 


CHAPTER VI 
TIME AND SOCIETY 


While it has not escaped the attention of the 
scholars whose interest leads them to the Timaeus that its 
doctrine of Time is inseparable from the doctrine of the 
eternal model, the purpose or role of Plato's Time image 
is frequently overlooked. ! Similarly, while it is true that 
Plato fashions his image of Time with great care and is 
conscious throughout his formulation of a desire not to 
distort the ineffable while yet speaking of it, it seems 
that insufficient attention has been paid to the relevance 
of the introductory remarks in the opening section of the 
Gialogue to this image, and the relation of these remarks 
to Plato's doctrine of Time. 


To rectify this oversight, it is only necessary to 


recall the opening passages of the Timaeus where Socrates 
had agreed to the plans which Timaeus and Critias had made 
for their talk: Timaeus intends to describe the origin of 
the Universe and to carry on his account until it had 

reached the time when man made his appearance; thereafter, 


Critias intends to take up the account and to describe 


' For example, in his chapter on the doctrine of the 


Timaeus, Ross (W.D. Ross, Plato's Theory of Ideas 
(Oxford: Clarendon Press, 1951).) discusses the role of 
Time not at all. 


249 
ancient Athens; both of these accounts are to be given so 
that Socrates may fulfill his wish to hear an account of a 
real city, not an imaginary one; not a tale of "some noble 
creatures in a painting, or perhaps of real animals, alive 
but motionless" but an account of real creatures, “in 
motion, and actively exercising the powers promised by their 
form" (19c). In this way, Plato gently suggests that the 
power to describe the actual origins of the best society 
are beyond Socrates, and it must be the task of others to 
supply it. This is the meaning of the obviously inadequate 
recapitulation of the doctrines of the Republic, which are 
mUch too briefly summarized in the opening passages of the 
Timaeus. There is no need to look for deeper or more arcane 
meanings in Socrates' confession of inability to construct 
such an account; it is not the absence of opinion on 


Socrates part, as it was in the Theatetus. In the Timaeus, 


Socrates does not say that he is "only" an opinionless 
midwife who must deliver the philosophical offspring of 
those pregnant with the truth; on the contrary, he says 
quite openly that he is not up to the task, and that the 
power to tell such a story is beyond him. It has been 
generally agreed among the scholars that the opening 
passages of the Timaeus "recapitulate" the Republic, © and 


most of those who do not agree on the order of the 


2 Gauss, Philosophischer Handkommentar zu_ den 
Dialogen Platos, p. Le 


250 
dialogues as they have been described in chapter II agree 


that the Timaeus must be later than the Republic for this 


interpretative reason. And it has long been agreed that 
the Republic is the work in which Plato reveals a political 
philosophy, or, as we call it, a philosophy of society. 

But if we take separate conclusions, on which the scholars 
agree, and, if we attempt to see them in relation to each 
other, we shall arrive at a simple and yet, to the best of 
my knowledge, an uncommon conclusion. If (1) 1t is true 
that the Republic is a dialogue in which Plato has attempt- 
ed to see the powers of the soul "writ large,” that is, 

if the Republic is a dialogue in which the state is seen 

as a magnification of the soul; and, together with this, 

4f (2) we see that the Timaeus is a dialogue in which the 
"alive but motionless," society of the Republic is recapit- 
ulated, and, if we add to this (3) the fact that the 
Timaeus first develops a doctrine of Time before setting 
out the details of the best form of society, we may draw a 
startling conclusion; Plato has made the doctrine of Time 
the basis of a new Platonic sociology. Where the Republic 
describes a State based on the view that only the eternal 
is real and all else is mere becoming, the Timaeus describes 
a society based on the perfection which Time confers on 


the discordant motions of a primordial chaos. Plato has 


3 Jowett, Ihe Dialogues of Plato, II, pp. 456~7. 


251 
shifted the basis of his sociology from the eternal to the 
temporal; no longer is it his view that the realms of 
eternity and becoming are separated by an unbridgeable 
chasm; now, in the Timaeus, through the gradual process we 
described in Chapter II, Plato has arrived at the formula- 
tion of a doctrine in which Time is, so to speak, the 
bridge between these two realms. 

But this image of Time as a bridge falls short of 
Plato's meaning. It would be better to say that the 
Universe which the Timaeus reveals is a proportional unity 
of many levels, and that Time is the proportion between 
eternal being and incessant becoming. But further, it is 
necessary to recall that Plato does not use this sort of 
intellectually precise language; he prefers to say that 
Time is the moving image of eternity, because the richness 
and allegorical suggestiveness of the phrase "moving image" 
captures two very different levels of meaning, i.e., both 
the ineffable truth of the eternal model of the Universe, 
and the magnificent beauty of the concrete relations within 
the visible Universe. 

To the best of my knowledge, Bury is the only writer 
who has seen that the Republic is Plato's first Philosophy 
of History, and that in the Timaeus Plato modifies this 


view. But Bury nevertheless concludes that there has been 


4 Bury, "Plato and History," p. 5. 


() 


252 
no growth of Plato's doctrine, and that the conclusions of 
the Timgeus are implicit in the views stated in the Republic, 
This seems to stretch the meaning of the term “implicit” 
beyond reasonable bounds, for, on this basis, we should 
have to conclude that Plato's movement from an eternal 
basis to a temporal basis is no development, but merely an 
explication of former views. It is difficult to see how one 
can say that the basis of society in one dialogue is 
eternity and the basis of society in another dialogue is 
Time, and that the one view is “4mplicit" in the other. 

Similarly, it 1s hard to see the grounds for A.E. 


Taylor's assertion that the Timaeus is only an introduction 


to the Critias, since, as we said above, such a view would 


so linearize Plato's philosophy that we should have to 
view the Laws as the only source of Plato's mature philo- 
sophy. One should not ignore the early works of a genius 
such as Plato when one reads his later works, since this 
procedure deprives one of the measure of the man and the 
gradual maturity which he was able to reveal in his late 
writings. 

It seems to us more reasonable to follow Cornford 


into the opinion that the Timaeus was the first of a 


projected trilogy of dialogues, which were to have revealed 
Plato's reflections concerning the basis of the best 
possible form of society, after a life-long concern for 


this subject. If it 1s true that Plato's Sicilian adventures 


were of such a nature as to discourage and disillusion the 


253 
great man from his life-long hopes to bring about good 
government, we should expect to see bitterness and pessi- 
mism in the works written after these experiences. But we 
find no shallow despair in the Seventh Letter or in the 


Timaeus; rather we confront a dialogue which is written 


in a style especially designed to appeal to those whose 
philosophical training was not so arduous nor so disciplin- 
ed as Plato's own. Plato does not become a disdainful 
elitist, nor is the Timaeus a children's allegory, 

written by a sour old grandfather, for there is a great 
deal in it which requires strenuous philosophical reflec- 
tion and painstaking attention. Yet, even those without 
philosophical training and exacting logical skill can be 


moved by the poetry which Plato has made in the Timaeus. 


It is both a mature philosophy and a beautiful myth which 
seems to be designed as well for the elite philosopher as 
for the untutored statesman. | 

Thus it seems pointless to criticise the Timaeus as 
an uneven dialogue which skips about from the level of 
thought to the level of myth, and, on the basis of such a 
criticism, to prefer to look to other dialogues for more 
philosophical meanings because the style of earlier dia- 
logues 4s more even and their philosophy more exactly 
stated. This is not unlike preferring to look in the 
pantry for the broom only because there is a light in the 
pantry, when, in fact, the broom is in a darker but more 


‘spacious room in the attic. 


254 


If it is true that the Timaeus was written after 


Plato's later and more mature reflections on the requisites 
for the best possible society, as we tried to establish in 
the third chapter, one should not ook to the Republic for 
Plato's most mature doctrines of society. And yet those 
writers who wish to discuss Plato's philosophy of society 
as a philosophy of history or as a political philosophy 
seem more drawn to the Republic, and few of them go to 
the Timaeus as the source of Plato's teaching on this 
subject.” 

This is not to complain that scholarly inattention 


plagues the Timaeus, for the Timaeus has not gone without 


@ great deal of comment by writers in almost every century 
in the West. Yet it has not been viewed as the dialogue in 
which Plato makes his most explicit statements on the basis 
for the best possible form of society, and no writer in the 
modern era has seen in it the culmination of Plato's gradual 
development beyond the doctrine of eternity in the Republic. 
And yet this seems to be precisely what Plato has done. 
This 1s not the place to examine and comment in 
detail on the elements which, according to Plato, would 


characterize the best form of society, since these 


) Walsh, Plato and the Philosophy of History. See 
also Barker, Politica ought of Plato and istotle, 


Nettleship, Lectures on the Republic of Pilato, 
Popper, The Open Society and ite Bpentes, and numerous 
anthologies which present Plato's Republic but seldom if 


ever present the Timaeus. 


255 


specifications are to be found in part in the Critias and in 


great detail in the Laws. It 1s not our purpose here to 
describe exhaustively Plato's later sociology. The issue 
here is the role of Plato's image of Time as a basis for 
his later sociology, insofar as this can be ascertained 


by a careful reading of the Timaeus in its chronological 


and doctrinal context. The Timaeus seems to be unequivocally 
clear on this issue, for Plato shows repeatedly in this 
dialogue that the basis for a sound understanding of his 
sociology is the role of Time in the nature of the Universe. 
Thus, betore Critias can accomplish his promise to furnish 
Socrates with an account of ancient Athens in her prime of 
social life, Timaeus speaks a monologue which comprises 
almost the entire work which bears his name. In the first 
half of the dialogue, which discusses the Universe insofar 
as it is due to the Work of Reason, Plato leads gradually 
and ineluctably to the basis of the rational perfections 
which are brought to the Universe by time. In the Republic 
the perfections of society derive from a participation of 
the state in eternal justice; in the Timaeus, society is 
perfected by ame, which brings order to chaos. 

The most serious objection to our conclusion is the 
claim that Plato only speaks of the gradual construction 
of the Universe as if it were gradually brought into 
existence, when his actual meaning remains hidden between 
the lines. A.E, Taylor adopts this view, when he says that 


Plato believes the Universe is eternal, and therefore it 


256 
does not actually have a temporal character (Archer- 
Hind also holds this view). In short, Taylor claims that 
Plato described the Universe as if it were gradually 
brought into being because it would be easier for Plato's 
readers to comprehend his meaning in this way.° 

Happily, Plato himself seems to upset this view in 

the Timaeus, when he distinguishes quite carefully between 
the eternal and the becoming, between a false image and a 
genuine image, between a mere myth and a genuine myth. If 


the Timaeus were only a myth designed to create the appear- 


ance of the truth but not to reveal the actual truth, it 
would follow that Plato has cast his whole account of the 
origin of the Universe into the deceptively simple mold of 
orderly succession. But the discrepancy between the 
deliberately temporal image which Plato has created and 
the calm stillness of the eternal, which he recurrently 
describes, seems too wide to support the interpretation 
that Plato remained an eternalist in the midst of a 
temporalist account. ¢ 

It seems better to view Plato's statements about the 


temporality of the Universe as the basis of its perfection, 


6 A.E. Taylor, Commentary, pp. 689 ff. 


f J.F. Callahan, Four Views of Time in Ancient 
Philosophy (Cambridge: Harvard University Press, 1948), 
r tly says that A.E. Taylor errs here because of his 
adoption of Aristotle's notion of Time. 


257 
and to reject the assertion that Plato's Universe is 
actually eternal even though he says it is temporal. But 
there is a deeper point, and it is this; to continue to 
distinguish so sharply between eternity and Time after 
reading the Timaeus is to miss a major doctrine of the 
Timaeus, which describes philosophically-mythologically 
the proportional relation between the realms of eternity and 
becoming, and to view the role of Time as the mediator 
between these realms, such that they are no longer as 
separate as they were described to be in the Republic, but 
are aspects of a proportionally united Universe. The 
assertion that Plato separates eternity and Time ignores 
Plato's description of their relation in the Timaeus, where 
Time is said to be the proportional unification of becoming 
and eternity. By viewing Plato's doctrine of Time as the 
"mediation" of becoming, one can reach the basis of Plato's 
late sociology, since Plato repeatedly has Timaeus say that 
the gradual origin of man must be sought in the gradual 
origin of the Universe, and it is precisely Timaeus' 
function to reveal Plato's doctrine of Time so that Critias 
can take up the account of man. To assert that Plato held 
a static view of the Universe but spoke of it as a gradual 
process, because he was unable to discuss the whole 
Universe at once, seems to misinterpret the crucial 
significance of Plato's definition of Time as an image. 

For the Image is the whole Universe, and, furthermore, it 


ia deliberately described as a moving image. As we have 


258 
said repeatedly above, Plato was not unable to describe 
the whole Universe at once; he did so in an image, and 
while it is true that he gradually reveals the elements 
and aspects of the image in a serialized description, he 
nevertheless insists that the Universe is one image. In 
short, Plato no longer impales himself on the horns of a 
dilemma by separating eternity and Time; he has transcended 
such an impasse by describing a Universe which is both 
hierarchical and processual, yet neither in isolation. 

One may continue to dissect logically Plato's Universe 
into one part hierarchy and one part process, but it 
seems to see that it is the dissector and not Plato who s0 
bifurcates the Platonic Universe. That is, one may analyze 
the Platonic Universe into logically discrete categories, 
and focus now on the hierarchic aspect and now on the 
processual aspect, but one can also say that Plato's 
Universe is a proportional unity in which the temporal 
hierarchy (or the hierarchical temporality) are concretely 
related. Thus one could reject A.E. Taylor's view that 
Plato believed the Universe to be eternal but described it 
as if it were temporal, so that Plato could communicate 
better to the philosophically ill-equipped. 

However, it should be borne in mind that the Timaeus 


does not itself contain a new sociology, but presents the 


basis for one, for we must look to the Critias and the Laws 


for the details of Plato's later view of society. It is our 
contention here that this later view is unintelligible 


oe 


259 
without a sound interpretation of Plato's moving image 
of eternity. 
It follows that the entire basis of society and the 
communal life of man is not to be found completely within 
those aspects of the Universe which are due to the orderly 


perfections which derive from Time. For our analysis has 


stopped midway in the monologue of Timaeus; we have 


described, up to this point, only the works of reason, and 
have not presented any discussion of those aspects of the 
Universe which derive from necessity. Plato has not 
described the demiurge as absolutely omnipotent, for even 
the demiurge must attempt to persuade necessity, not force 
it, to yield to the urgings of Time and order.® 
The admission that Time itself is not all powerful, 


but must confront, so to speak, the cosmological inertia 


of necessity, serves to strengthen, not weaken, the 


8 There are several aspects of Plato's discussion 
of Time and Society which bear a marked resemblance to 
some aspects of the philosophy of Anaximander, but a 
discription of these similarities and differences would 
require a lengthy discussion which would take us into 
the origin of Plato's doctrines, whereas it is only our 
purpose here to present and examine Plato's doctrine. 
For example, while it would be instructive to investigate 
the extent of Plato's indebtedness to Anaximande:''s 
dark saying about the reparation which things offer in 
Time for their injustices, (see, for example, John 
Burnet, Early Greek Philosophy (4th ed.; London: Adam 
and Charles Black; New York: Tne Macmillan Co., 1930), 
pp. 52-53.) it would necessitate more comment than 
we have room to present here. 


260 
conclusion that Time brings perfection. Whereas it was 
once possible to say that Plato viewed the eternal as the 
only source of perfection and viewed the temporal realm 
of becoming as the source of imperfection, it now emerges 
that Plato has made a sharp distinction between incessant 
becoming, which is indeed less than perfect, and ‘time, 
which brings perfection even to becoming. When becoming 
1s ordered by Time it is no longer merely incessant, nor 
only a ceaseless and perpetual fluxion of chaotic changes, 
but an ordered motion which is perfected by Time, the source 
of orderly motion. Necessity belongs to mere becoming; 
Time belongs to reason and eternity. 

It follows that a society will be perfect insofar as 
it regards Time as the paradigm of its style of life, and 
that society will be imperfect insofar as it regards mere 
becoming as the model for its political flux. And these 
are exactly the doctrines which Plato develops in the 


Critias and the Laws. The Critias, as much as we have of 


it, describes the "mythical" kingdom of Atlantis, and we 
have a brief foretaste of this description in the opening 


passages of the Timaeus. In the third book of the Laws, we 


have what the moderns would call a philosophy of history, 
or, in other terms, what could well be described as an 
incipient philosophical anthropology. The third book of 

the Laws dwells at aveat length on the questions which 

we are now examining; it is concerned with "immense periods 


of Time" and "thousands of cities" which came to be and 


261 

have now disappeared from memory, and puts the question 
to itself whether there may not be a discernible pattern 
in the rise and fall of these cities. Or, to see the 
matter from another point of view, one could point to the 
tenth book of the Laws where questions about what we 
might call divine providence are raised and discussed, in 
a context which is explicity temporal. Or again, one could 
cite quotation after quotation from almost any book of the 
Laws which would show that Plato was much interested in 
the relative durations of various things, from constitu- 
tions to kingdoms and from mountains to men. 

But these investigations must be left to another 
time when they can be treated with the exhaustive documen- 
tation they deserve. It has been our purpose to spell out 
in detail the reasons for adopting the view that there is 
a Platonic philosophy of time and that this philosophy is 
inseparable from Plato's concern for the best possible 
society. 

Before the final words are written, however, it 
seems appropriate to state a few opinions which have emerg- 
ed during the course of this study. While it would be 
impossible to draw final conclusions about the relevance 
of Plato's philosophy of time to the intellectual pur- 
suits of the modern world without at the same time presente 
ing a history of Platonic scholarship for all of the 
intervening years between Plato's era and our own, it is 


possible to state a few opinions which have been reached 


262 
on this subject, providing caution is advised about the 
extent to which we may derive philosophical satisfaction 
from a careful reading of Plato's works. 

Perhaps the most persistent opinion which comes to 
mind concerning Plato's philosophy of time is the frequents 
ly stated view that the Greeks viewed the world as closed 
and that their view of history was in sharp contrast to 
our modern view of the open Universe. While it is not 
possible to state that this view of the Greek world as 
closed is without any foundation, it is not only possible 
but necessary to confront the closed view with the import 
of the doctrine of time which we find in the Timaeus. It 
is simply incorrect and therefore, unscholarly to repeat 


the naive eternalism of the Republic, if the Timaeus is as 


late a work as it seems to be. One should not continue to 
separate the eternal from the temporal after one has 


studied the Timaeus, and one could say with some accuracy 


that the whole import of the Timaeus has been to remove 
this intolerable dichotomy by revealing the manner of 
relation of these two aspects of the Universe. 
This is not to assert that Plato came in the end to 

a simple monism in which all things are merely becoming. 
As we have said repeatedly, time perfects becoming. But 
there is an ineluctable gradualism in the Universe the 
Timaeus describes which cannot be ignored, and, while 

it is true to say that our modern notion of process is 


‘richer by far and more concrete than ever a Greek could 


263 
imagine, it 1s also true to say that there was some 
degree of openness in the Greek Universe and that it 
would be false to state simply that it was a closed world. 

The political implications of this openness deserve 
some attention although it is only possible to suggest 
some more obvious points here. If the Universe is closed 
and is in some way a completed whole, it becomes the 
business of the statesman to discern those Laws by which 
the Universe attains its style of perfection and to fashion 
human laws in such a way that human perfection is sought 
in copying the perfection of the Universe. In this way 
the constitution of the state should be only a copy and 
an imitation of the Universe. 

If, on the other hand, the Universe is open ard is 
in some way incomplete and unfinished, it becomes the 
business of the statesman to model his constitution as far 
as possible on the pertection of the Universe and there- 
after to improvise and invent those measures which seem 
best under the circumstances. If such a statesman can 
be found, he will understand that the sources of imperfec- 
tion are not solely derived from the failure of the citi- 
zens to model themselves on the eternal forms, but might 
result from the very incompletion of the statesman's 
actions. In other words, it follows from a completed world 
that its citizens must adjust themselves to its patterns; 
4t follows from an incomplete world that its citizens 


play a part in its completion. It does not follow that 


264 
the citizens of an incomplete world must live ina 
totalitarian regime where all law emanates from an elite 
few who claim to have discovered the basis of all law. To 
put the matter differently, it can be said that a closed 
Universe has no room for human innovation, whether it be 
political, scientific, or philosophical; the converse 
statement would read that only in an open Universe can the 
citizenry aspire to creative participation in the processes 
of the state. 

Unfortunately, this simple division of worlds into 
those that are closed and those that are open is not 
applicable to Plato's Universe, since it is a world in 
which there are eternal models as well as incomplete 
republics. Something of a similar view obtains in current 
anthropology in which one may read many statements to the 
effect that there are some basic exigencies of human nature 
which must be met in any culture, but that there are a 
number of ways in which cultures can set about handling 
these exigencies in their own respective styles. Plato's 
Universe is neither simply open or simply closed; nor does 
it suffice to say that it is both. The Platonic philosophy 
handles this question in a different way, for it describes 
a world in which there are stages of completion and degrees 
of openness. Thus for Plato it is possible to claim the 
best of both possible worlds, for he can assert that there 


are eternal models for human political action and that 


265 
there are necessary innovations and inventions which the 
statesman must create. To the extent that the human 
invention resembles the temporal order which the Universe 
achieves, to that extent is it good. In other language, 
one can say that the Platonic conception of perfection 
which appears in the Timaeus is a gradualist notion, such 
that a thing is perfect if it is as good as it can be at 
a given time. Perfection then is a stage concept which 
refers itself inevitably to a basic pace at which perfec~ 
tion is achievable. 

In this way, one can see that the Platonic Universe 
is neither simply open nor simply closed, and that he who 
uses the paradigm “open or closed" really uses a spatial 
idea, not a temporal one, and is therefore guilty of a 
species of philosophical reductionism. The question is not 
whether the Universe is closed or open but whether there is 
in the Universe sufficient ground for the gradual attain- 
ment of perfection. Even this last statement seems to put 
perfection at the end of the process, whereas in fact it is 
possible to say in the Platonic idiom that a thing is as 
perfect as it can be while it is proceeding at its proper 
pace of attainment. In this way, one does not need to 
assert that perfection is attainable only in some other- 
worldly realm, or that only those things which have 
achieved release from the quagmire of time have entered 
into eternity. On the contrary, those things which have 
nothing of time in them but share only in the incessant 


266 
flux of becoming have no measure of eternity in them 
precisely because eternity can be brought to becoming only 
by time. 

To use another perspective, the same point can be 
made in another way. In a Universe in which the eternal is 
removed from the temporal by a radical division, only those 
things which have transcended the Aaviaton may properly be 
called eternal. Thus, no individuality can be claimed for 
any person who has not transcended time and achieved 
eternity. But in Plato's Universe, each person who finds 
his proper pace of achievement may be said to be as eternal 
as he can be at the moment, or that his perfection consists 
of the entire process of attainment. It is therefore 
necessary for the citizens of the Republic to model then- 
selves entirely upon the eternal forms or be called fail- 
ures, where the citizens of the realm founded on the philo- 


sophy of the Timaeus may be said to posess individuality 


insofar as they attain perfection to the extent that it is 
possible to attain it at the time. In this way, another of 
the frequently asserted opinions about the world of the 
Greeks is found wanting. In conversation with philosophers, 
‘one frequently hears that there were no genuine individuals 
in the Greek world, since genuine individuality would 
scandalize the Greek notion of an ordered and predictable 
world. We must clarify the statement that there is individ- 
uality in the Greek world; a more accurate statement would 


read that there is a genuine basis of individuality in the 


267 
philosophy which Plato reveals in the Timaeus, but this 
statement must be quickly followed by the statement that 
there were few Greek individuals. While it is true on the 
one hand to state that most Greeks felt the Universe to be 
closed, it is nonetheless true that Plato's Timaeus does 
not reveal such a Universe. 

This creates something of a problem for the historian 
who would like to see one ethos in the age which produced 
both Plato and Aristotle. If the Timaeus reveals the | 
philosophy herein described, we must separate Plato from 
his pupil even more widely than is sometimes the practice, 
for it does seem to be true that Aristotle's Universe is 
closed, since it is a world in which time is described as 
an accident. Surely this is far from Plato's view of time 
as the source of the perfections which make it possible for 
him to regard the Universe as a shrine. It is necessary to 
state that the gap between the moving image of eternity and 
the measure of motion is even wider than it has usually 
been described, if the viewpoint herein adopted is credible. 

Again, this is not the place to discourse upon a 
philosophical prejudice, nor is it claimed that the 
philosophy of Plato is superior to the philosophy of 
Aristotle. Such statements do violence to the historical 
view which regards philosophies as different because they 
were written by different men in different times with 


different needs. Aristotle was not confronted with the 


268 
same political realities that confronted Plato, and to 
that extent, at least, we should, expect their political 
philosophies to differ. However, it remains true that 
Plato placed time at the very heart of his doctrine and 
that Aristotle placed time at the accidental periphery of 
his. To that extent, Plato's philosophy of time is more 
congenial to the modern mind which occupies itself with 
questions of historical process and temporal being. 

Viewed in this light, it becomes possible to see 
the basis of Whitehead's remark that Plato has spawned 
almost the entire philosophical heritage of the West. 


Furthermore, it becomes possible to compare Science in 


the Modern jiorld to the Timaeus, since the authors of both 


works attempted not only to write a history of contemporary 
science but also to show in their discussions of the 
scientific theories prevalent in their respective eras 
that beyond the reach of the sciences there were insights 
upon which the sciences unknowingly depended. 

In that same spirit, I have attempted to write of 
Plato's image of time, since it is my conviction that every 
age, and not only Plato's or even Whitehead's, depends 
unknowlingly on a view of time and derives its basic 
cognitive orientation from its time-view. 

If 4t 18 true that Plato matured until the last, and 
that he sought in the end to plumb the awesome mystery of 
time and eternity, I felt that his search could only 


enlighten the attempts of a working sociologist to make 


269 
some sense out of his own era by viewing it, in the last 
analysis, as a moving image of eternity. 

There is one aspect of the temporal perfection of 
the Universe which deserves special attention in the light 
of modern interests, and that is the special perfection 
which develops in the individual man in time. We pointed 
out in chapter three that Plato made frequent use of the 
age of the speaker in several dialogues, sometimes accusing 
the speaker of naivete because of his youth and sometimes 
praising the venerable age of the speaker and the wisdom 
which came to him because of his age. For example, in the 


Parmenides, Socrates is very young and Parmenides is very 


old, and Plato implies clearly that the very young do not 
yet have the requisite insight for profound subjects. This 


is again true in the Theatetus wherein Socrates is now 


the old and wise man, as opposed to the young and malle- 
able Theatetus. In view of the fact that the Timaeus casts 
the whole middle doctrine of individual reminiscence into 
& more generalized sociological frame of reference, it 
should be pointed out that Plato has not abandoned his 
reminiscence theory in the later dialogues: actually, he 
has fortified it by showing that there is a cosmological 
basis for the sort of memory which a society must have 
in order to be as fully societal as it is possible to be. 
Thus, just as the society develops in time, so the 
individual citizen develops in time, and in time, the | 


citizen not only ages, but he matures and grows wise. It 


270 
is this very maturity of insight which Plato himself 
experienced with his own advancing years, and it is there- 
fore unsurprising that we find in the later dialogues a 
doctrine in to which the perfection of reason is attained 
by those individuals who have participated more fully in 
time than those younger philosophers whose maturity is yet 
unreached. 

To put the matter somewhat more technically, Plato 
has so closely related cosmogenesis and anthropogenesis 
by reason of their mutual participation in time that it 
is also possible to relate the ontogenesis of the individ- 
ual citizen to the same basis in time. While it was always 
possible to say with Plato that the older man is probably 
the wiser man, it 1s possible, after a careful reading of 
the later dialogues, to assert that the older man ought to 
pe the wiser because of his fuller participation in time. 
Or to put the matter in more modern language, the gradual 
development of the individual person takes place not only 
according to psychological processes, but also according 
to sociological and cosmological processes, since all of 
these processes may be seen as particular manifestations 
of the pertections which Time brings to the Universe. 

Therefore, I assert that a careful reading of the 
Timaeus in its doctrinal and chronological context leads to 
the following conclusions. 

Plato's final formulation of a doctrine of Time was 


revealed in his Timaeus. In that work, he tells us that 


271 
Time is the basis of society, from which the society 
derives the perfections of life and mind in motion. Thus 
it is false to divide eternity and time from each other 
since Time delivers perfections and perfects mere becoming 
s0 that it most resembles the source of perfections. It is 
g00d to regard Time as a moving image of eternity since 
this phrase indicates the mediatory role of time. The 
simple division of eternity versus time is false, since 
eternity differs most from mere becoming. Time perfects 
becoming by relating it concretely to eternity. In this 
way, the things of the Universe may achieve individuality 
since they need not be either completely eternal nor 
merely becoming but may be best what they are by being as 
fully as possible what they are when they are. Thus, from 
the early formedoctrine of the middle dialogues, Plato has 
advanced to a new position. It is neither a renunciation of 
the Form-doctrine nor a simple extension or reapplication 


of it. In the Timaeus, the Forms are paradigms and have 


reality only to the extent to which the things modelled 
upon them derive their perfections from them. The earlier 
Form-doctrine described a number of perfect Forms from 
which things differed by reason of their imperfection; the 
later form-doctrine describes a set of Forms which are 
originative, such that they give of their perfection in a 
process called Time. 

In such a world, society is not a realm removed from 


@ penultimate world of silent and unspeaking self posession, 


272 
but becomes the way in which eternal perfection discloses 


itself, which Plato calls the moving image of eternity. 


273 


APPENDIX A 


Ross! gives a tabular presentation of the order 
of the dialogues according to "five leading students" 
of the subject. Since the order of the early works is 
not in question here, the table is abbreviated to show 
the order of the dialogues starting with the Republic, 
on which there is wide agreement. However it should be 
noted that Ross does not distinguish between stylistic 
criteria and stylometric criteria and uses the two 
interchangeably in his chapter on the order of the 
dialogues. With the exception of the Phacdrus, the 


scholars cited by Ross give substantially the order I 
have adopted as the most probable. 


Arnim _ Lutoslawski Raeder Ritter Wilamowitz 
Rep. 2-10 Rep. 2=10 Rep. Rep. Rep. 
Theaet. Phaedr. Phaedr. Phaedr. Phaedr. 
Parm. Theaet. Theaet. Theaet. Parn. 
Phaedr. Parn. Parn. Parn. Theaet. 
Soph. Soph. Soph. Soph. Soph. 
Pol. Pol. Pol. Pol. Pol. 
Phil. Phil. Phil. Tin. Tin. 
Tin. Tim. Critias Critias 
Critias Critias Phil. Phil. 
Laws Laws Laws Laws Laws 
Epin. 


' wep. Ross, Plato's Theory of Ideas (Oxford: 
Clarendon Press, 1951), p. 2. 


274 
BIBLIOGRAPHY 


Archer-Hind, R.D. Commentary on the Timaeus. London: 
The Macmilian Co., 1888. 


Barker, E. Political Thought of Plato and iecarotie: 
New York: Dover frublications, Inc., 1959. 

Burnet, John. Greek Philosophy. rart I. London: 
Macmilian & Co., Ltd., i914. 


Bury, R.G. "Plato and History,” Classical Quarterly, New 
Series, 1-2, pp. 86-94. 


Callahan, J.F. Four Views of Time in Ancient Philosophy. 
Cambridge: Harvard University Fress, 1946. 

Campbell, L. "Plato," kncyclopaedia Britannica. 
Tith ed., Vol. XxXI, pp. 0 = 2 e 

Claghorn, George 8S. Aristotle's Criticism of Plato's 
'Timaeus'. The Hague: Martinus Nijhoff, 1954. 

Cornford, F.M. From Religion to Philosophy. New York: 
Harper & Brothers, 1957. 

__.____ Plato's Cosmology. London: Routledge « 
Kegan Paul, Ltd., 1937. 


Dodds, E.K. The Greeks and the Irrational. Boston: 
Beacon Press, 1957. 


Field, G.C. Plato and His Contemporaries: A Study in 
Fourth-Century Life and Thougnt. London: Methuen & 
UO., td., 1930. 


rrutiger, P. Les Myths de Platon. Paris: 1930. 
Gauss, Hermann. Philosophischer Handkommentar zu den 
Dialogen Platos. 5 tir. part 2. bern: Herbart 
ng, 1961. 
Gioscia, V.J. "A Perspective for Role Theory,” The 
American Catholic Sociological Review. XXII, No. 2, 
Milwaukee: Marquette University Press, 1961, pp. 143 ff. 


Gomperz, Theodor. Greek Thinkers. trans. G.G. ery. 
Londons John Murray, 1! ° 


Harward, J. The Platonic poieties. Cambridge: the 
University ess, 1952. 


275 

Heisenberg, Werner. Physics and Philosophy. New York: 
Harper & Brothers, 1955. 

Hempel, Carl G. “Fundamentals of Concept Formation in 
Empirical Science," International Encyclopaedia of 
Unified Science, vols. 1 and 11; Foundations of 
The Unit f ‘Science, vol. II, No. 7. University 


of Chicago Press, 1952. 


Jaeger, Werner. Paideia: The Ideals of Greek Culture. 
New York: Oxford University Press, 1943. 


Jowett, B. The Dialogues of Plato. 3rd ed.; New York: 
Scribner, Armstrong, & Co., 1878. 


Koyre, Alexandre. Krom the Closed world to the Infinite 
Universe. New York: Harper & Brothers, 1958. 


Lauer, Q., S.J. The Being of Non-sHeing in Plato's 

Sophist. unpublished manuscript; New York: 
Fordham University. 

Lutoslawski, W. Origin and Growth of Plato's Logic. 
New York: Longmans, 1925. 


Mackinnon, Edward, S.J. "Time in Contemporary Physics," 


International Philosophical Quarterly, II, No. 3, 
(September, 1962). 

Meyerhoff, Hans (ed.) The Philosophy of History in Our 
Time. New York: Doubleday & Co., 1959. 

Nettleship, #.L. Lectures on the Republic of Plato. 
New York: Macmillan, 1955. 

Popper, K.R. The Open Society and its Enemies. 2 vols., 
ed ed. rev., London: Routledge & Kegan Paul, 1952. 

Ritter, Constantin. Untersuchungen uber Platon. 
Stuttgart: 1888. 


- Neue Untersuchungen uber Platon. Munich: 1910. 


. The Essence of Plato's Philosophy. trans. 
Adam es. London: George en & Unwin, Ltd., 1933. 


Koss, W.D. Plato's Theory of Ideas. Oxford: Clarendon 
Press, 1951. 


Russell, Bertrand. Mysticism and Logic. Garden City, 
New York: Doubleday & Co., 1917. 


276 


Taylor, A.&. Commentary on Plato's Timacus. Oxford: 
Clarendon Press, 192%. 


- "Plato," Encyclopaedia britannica. XVIII. 
Chicago: Encyclopaedia Britannica, inc., 1957. 

- Plato: ‘the Man and His Work. 6th ed. 5th 
print. New York: Meridian books, Inc., 1959. 


Taylor, 1t.T. The fimaeus and Critias of Plato. 
Washington: Pantheon Books inc., 1952. 


Walsh, W.H. “Plato and the Philosophy of History: 
History and ‘theory in the Kepublic," History and 
Theory, II, No. 1 (1962), pp. 1-16. 


Whitehead, A.N. Process and kKeality. New York: The 
Macmillan Company, 1941. 


Wilamowitz-Moellendorff, U.v. Platon. 2 vols., Berlin: 
Weidman, 1920. 


ABSTRACT 


Victor Joseph Gioscia 
B.S8., Fordham College 
M.A., Fordham University 
Plato's Image of Time 
Dissertation directed by J. Quentin Lauer, Ph.D. 


The most explicit formulation which Plato made of 
his philosophy of Time is found in his Timaeus. In this 


dialogue, he reexamines some of the doctrines he had 
formulated in the Republic. 

By reference to a wide concensus of scholarly 
opinion, it is established that the timaeus is very probably 
the last dialogue Plato completed and edited, that it is 
tollowed only by the incomplete Critias and the unedited 
Laws. These facts, taken together with the fact that the 


Timaeus recapitulates some doctrines of the Republic, 


Give the Timaeus a central importance in Plato's reflections 
on society. 


This means that the Timaeus contains a "later" 


doctrine than the Republic and that in the Timaeus we 


rind a reflective advance over the doctrines ot the 
“early” and "middle" dialogues of Plato. 
The study traces the evolution of the three themes 
of eternity, image, and time anda shows that Plato discussed 


them in an increasingly generalized fashion as he grew 


older. It traces the development or these themes from 
the Republic through the Parmenides, Theatetus, Sopnist, 
Statesman, and Philebus. 
| The study espouses the view that the Timaeus contains 
Plato's most mature reflections on the themes of eternity, 
image, and time, and that the formulation in the Timaeus 
reformulates some of the doctrines of the Republic, and 
therefore one ought not to regard the Republic as the 
final trormulation of Plato's pnilosophy of eternity, image, 
and time. | 
Further, the themes of eternity, image, and time 
are treated in the Timaeus in an explicitly sociological 
framework, and are said to be part and parcel or the 
4nquiry into the best society and its basis in time. 
Plato included cosmology and sociology within a 
larger perspective, in which the origin of the Universe 
and the origin of society were seen as stages in a temporal 


process. His account of these matters in the Timaeus is 


preceded by statements to the erfect that it is only on 
the broad canvass of the entire Universe that the best 
account of society's origins can be painted. 

The use ot such metaphorical phraseology is not 
arbitrary, and one must frequently deal in metaphor to 
explain Plato's meaning because Plato makes extensive use 
of metaphor throughout his Timaeus, indeed, throughout 
most of his philosophy. Plato's discussion of temporal 


processes contains a definition whose central term is the 
word image (eikon not eidolon). Since Plato defines time as 
an image, it becomes the problem of the commentator to 
reveal as clearly as possible the significance or this 
definition and the use of image as one of its principal 
terms. 

the study concludes that Plato viewed the entire 


Universe as an Image and sees Time as the Life of Society. 


VITA 


Victor Joseph Gioscia, son of Joseph and Anne 
D'Onofrio Gioscia, was born June 13, 1930, in New York, 

New York. He attended Xavier High School, New York City, 
and was graduated in June 1948. 

He entered Springhill College in September 1948, 
transferred to Fordham College in September 1950, and 
received the degree of Bachelor of Science in June 1952. 

He received the Hughes Award in Philosophy and an 
Assistantship in Philosophy. He was accepted as a 

graduate student and was given a Research Assistantship 

in the Graduate School of Arts and Sciences of Fordham 
University in September of 1956. He majored in Theoretical 
Sociology under the mentorship of Professor N.S. Timasheff 
and received the degree of Master of Arts in February 1957. 

He was employed as a Lecturer in Sociology nt Fordham 
College in 1958, as an Instructor in Sociology at Fordham 
University School of Education in 1959, and as a Lecturer 
in Anthropology-Sociology at Queens College of the City 
University of New York in 1961 and 1962. 

He was accepted as a graduate student in the Graduate 
School of Arts and Sciences of Fordham University in 
February 1957, where he majored in the Philosophy of 
Society under the mentorship of Professor J. Quentin 


Laver, S.d.