From cae75a40859c9fba64d629856c1f7ba3a428ec61 Mon Sep 17 00:00:00 2001
From: grr <grr@lo2.org>
Date: Mon, 29 Apr 2024 17:45:27 -0400
Subject: up to the new modality

---
 blueprint.tex | 240 +++++++++++++++++++---------------------------------------
 1 file changed, 79 insertions(+), 161 deletions(-)

(limited to 'blueprint.tex')

diff --git a/blueprint.tex b/blueprint.tex
index 63af6d4..14eda0f 100644
--- a/blueprint.tex
+++ b/blueprint.tex
@@ -4048,174 +4048,126 @@ $\delta(S^D_j)$ be the minimum number of time units it takes to think the jth
 D-sentence. This function, abbreviated '$\delta_j$', is the duration function of the 
 D-sentences. 
 
-Conclusion 6.1. If 5j>Z), the memory of the interval defined by Yj and 
-Zj places the end of the interval after the beginning of the memory of it, or 
-does something else equally unclear. If bj>yjtzj. the entire interval is placed 
-after the beginning of the memory of it. When 5;>z;, let us say that the end 
+\conclusion{6.1} If $\delta_j\greater z_j$, the memory of the interval defined by $y_j$ and 
+$z_j$ places the end of the interval after the beginning of the memory of it, or 
+does something else equally unclear. If $\delta_j\greater y_j+z_j$, the entire interval is placed 
+after the beginning of the memory of it. When $\delta_j\greater z_j$, let us say that the end 
 of the remembered interval falis within the interval for the memory of it, or 
-that the situation is an "infall." (Compare 'The light went out a half-second 
-ago'.) 5 
+that the situation is an "\textsc{infall}." (Compare \said{The light went out a half-second 
+ago}.)
 
-Conclusion 6.2. If 6}>xj4,-xj, then Sj, is added to the preconscious 
-before s can be thought once. The earliest interval during which the jth 
+\conclusion{6.2} If $\delta_j\greater x_{j+k}-x_j$, then $S^D_{j+k}$ is added to the preconscious 
+before $S^D_j$ can be thought once. The earliest interval during which the jth 
 sentence can be thought "passes over" the (j+k)th interval. Let us say that 
-the situation is a "passover." (Something of the sort is true of humans, 
+the situation is a "\textsc{passover}." (Something of the sort is true of humans, 
 whose brains contain permanent impressions of far more sensations than can 
 be thought, remembered in consciousness.) 
 
-Conclusion 6.3. If there are passovers in a D-Memory, the organism 
+\conclusion{6.3} If there are passovers in a D-Memory, the organism 
 cannot both think the sentences during the earliest intervals possible and be 
-aware of the passovers. Proof: The only way the organism can be aware of 6 
-(S}) is for event j+h (h a positive integer) to be the thinking of Sj. If the 
-thinking of Sj takes piace as the (j+1)th event, then the organism gets two 
-values for 5(S)), namely 4h Xj and Yj+1- Assume that only Xj4I%y is 
-allowed as a measure of 5(Sj). Since 5(S)) = X44%j, there is no passover. If 
-the thinking of S; takes place as the (j+2)th event, then xj4.9-x j44 = 5(S)) 
-could be greater than xj1%- But since Sj goes into the preconscious at x;, 
-S: is not actually thought in the earliest interval during which it could be 
+aware of the passovers. 
+
+\proof: The only way the organism can be aware of $\delta(S_j)$
+is for $event_{j+h}$ (h a positive integer) to be the thinking of $S_j$. 
+If the thinking of $S_j$ takes piace as the $(j+1)^{th}$ event, then the organism gets two 
+values for $\delta(S_j)$, namely $x_{j+1}-x_j$ and $y_{j+1}$. Assume that only $x_{j+1}-x_j$
+is allowed as a measure of $\delta(S_j)$. Since $\delta(S_j)=x_{j+1}-x_j$, there is no passover. If 
+the thinking of $S_j$ takes place as the $(j+2)^{th}$ event, then $x_{j+2}-x{j+1}=\delta(S_j)$
+could be greater than $x_{j+1}-x_j$. But since $S_j$ goes into the preconscious at $x_j$, 
+$S_j$ is not actually thought in the earliest interval during which it could be 
 thought. See the diagram. 
 
+\img{dmemdiag}
 
-So 4 St Sz+d Sz+2 
-
-
-event+ I sven? ~ Pee even bs +2 I 
-aoa ee aaa ee SS 
-
-
-a "je "542 
-
-
-Conclusion 6.4. Let there be an infall in the case where event) is the 
-thinking of Sj- 5(S) = X45 and 5(Sj)>z;. Si+1 gives 5(S)), so that the 
-organism can be aware of it. It is greater than z;. Thus, the organism can be 
-
-
-aware of the infall. However, the infall will certainly be no more difficult to 
-accept than the other features of the D-Memory. And the thinking of Sj has 
-
-
-108 
-
-
+\conclusion{6.4} Let there be an \textsc{infall} in the case where $event_{j+1}$ is the 
+thinking of $S_j$. $\delta(S_j)=x_{j+1}-x_j$ and $\delta(S_j)\greater z_j$. $S_{j+1}$ gives $\delta(S_j)$, 
+so that the organism can be aware of it. 
+It is greater than $z_j$. Thus, the organism can be 
+aware of the \textsc{infall}. However, the \textsc{infall} will certainly be no more difficult to 
+accept than the other features of the D-Memory. And the thinking of $S_j$ has 
 to be one of the events for the organism to be aware of the infall. 
 
-
-2.7 &-Memories 
+\subsection{$\Phi$-Memories}
 I will conclude these studies with two complex constructions. 
-Definition. A "&-Memory" is a memory which includes an M*-Memory 
-and a D-Memory, with the following conditions. 1. The goal G, for the 
-M*-Memory, is to move from one point to another. 2. For the D-Memory, 
-
-
-"event," becomes a numerical term, the decrease in the organism's distance 
-
 
-from the destination point during the temporal interval. "A 3-inch move 
-
-
-toward the destination" is the sort of thing that 'event;' here refers to. 3. 
+\definition A "$\Phi$-Memory" is a memory which includes an M*-Memory 
+and a D-Memory, with the following conditions. 
+\begin{enumerate}
+\item The goal G, for the M*-Memory, is to move from one point to another. 
 
+\item For the D-Memory, "$event_j$" becomes a numerical term, the decrease in the organism's distance 
+from the destination point during the temporal interval. \said{A 3-inch move 
+toward the destination} is the sort of thing that "$event_j$' here refers to. 
 
-The number of Aa, equals the number of D-sentences factorial. The number 
+\item The number of $A_{a_i}$ equals the number of D-sentences factorial. The number 
 of D-sentences, of course, increases. 
+\end{enumerate}
 
 Consider the consecutive thinking of each D-sentence precisely once, in 
 minimum time, while the number of sentences remains constant. Such a 
-"D-paragraph" is a permutation of the D-sentences. Let H™ be a 
-D-paragraph when the number of sentances equals the integer m. There are 
-m! SA" s. When f(t) = m = 3, one of the sixH" sis sais\}, thought in 
-minimum time. Assume that the duration A of a D-paragraph depends only 
-on the number of D-sentences and the bi. We can write 
+"D-paragraph" is a permutation of the D-sentences. Let $\mathparagraph^m$ be a 
+D-paragraph when the number of sentences equals the integer m. There are 
+$m!$ $\mathparagraph^m$s. When $f(t)=m=3$, one of the six $\mathparagraph^3$s is $S^D_3 S^D_1 S^D_2$, 
+thought in 
+minimum time. Assume that the duration $\triangle$ of a D-paragraph depends only 
+on the number of D-sentences and the $\delta_j$. We can write 
 
+$$ \triangle(\mathparagraph^m)=\sum_{j=1)^{m} \delta_j $$
 
 The permutations of the D-sentences, as well as the D-paragraphs, can be 
-indexed with the a;, just as the possible methods are. 
-
-Definition. A "b*-Memory" is a ®-Memory in which the order of the 
-sentences in the ajth Ti" has the meaning of 'I have actually been doing Aa. 
-
-
-assigned to it. The order is the indication that A,. has actually been used; it 
-i 
-is the ajth M*-assertion. '! have actually been doing A,.' is merely an English 
-i 
-
+indexed with the $a_i$, just as the possible methods are. 
 
-translation, and does not appear in the ®*- Memory. 
+Definition. A "$\Phi*$-Memory" is a $\Phi$-Memory in which the order of the 
+sentences in the $a_i$th $\mathparagraph^m$ has the meaning of \said{I have actually been doing $A_{a_i}$}
+assigned to it. The order is the indication that $A_{a_i}$ has actually been used; it 
+is the $a_j$th M*-assertion. \said{I have actually been doing $A_{a_i}$} is merely an English 
+translation, and does not appear in the $\Phi*$-Memory. 
 
-Conclusion 7. Given a \$*-Memory, if one D-sentence is forgotten, not 
+\conclusion{7} Given a $\Phi*$-Memory, if one D-sentence is forgotten, not 
 only will there be a gap in the awareness of when what events occurred; it 
 will be forgotten which method has actually been used. 
 
 This conclusion points toward a study in which deformations of the 
 memory language are related to deformations of general consciousness. 
 
-Definition. A "*-Reflection," or reflection in the present of a 
-@*-Memory, is a collection of assertions about the future, derived from a 
-
-
-&*-Memory, as follows. 1. There are the sentences 'Event; will occur in the 
-
-
-109 
-
-
-interval of time which is xxi long, and begins at twice the present time 
-
-
-AF, minus Xj AF; and which is y; long and begins zj from now'. If event; was 
-a 3-inch move toward the destination in the ®*-Memory, the sentence in the 
-®*-Reflection says that a 3-inch move will be made in the future temporal 
-interval. 2. The ajth permutation of the sentences defined in (1) is an 
-
-
-assertion which has the meaning of 'I will do A,.'; and the organism can 
-i 
-think precisely one permutation at a time. The A,_, Xj Vir Bye and the rest are 
-. . - I . . . 
+\definition A "$\Phi*$-Reflection," or reflection in the present of a 
+$\Phi*$-Memory, is a collection of assertions about the future, derived from a 
+$\Phi*$-Memory, as follows. 
+\begin{enumerate}
+	\item There are the sentences "$Event_j$ will occur in the 
+interval of time which is $x_j-x_{j-1}$ long, and begins at twice the present time 
+$AF$, minus $x_j AF$; and which is $y_j$ long and begins $z_j$ from now." If $event_j$ was 
+a 3-inch move toward the destination in the "$\Phi*$-Memory, the sentence in the 
+$\Phi*$-Reflection says that a 3-inch move will be made in the future temporal 
+interval. 
+	\item The $a_i$th permutation of the sentences defined in (1) is an 
+assertion which has the meaning of \said{I will do $A_{a_i}$}; and the organism can 
+think precisely one permutation at a time. The $A_{a_i}$, $x_j$, $y_j$, $z_j$, and the rest are 
 defined as before (so that in particular the permutations can be indexed with 
-the aj). 
+the $a_i$). 
+\end{enumerate}
+
+\conclusion{8} Given that the $\Phi*$-Memory's temporal intervals $|x_{j-1}, x_j|$
+are reflected as $|2N-x_j, 2N-x_{j-1}|$, the reflection preserves the intervals' 
+absolute distances from the present. 
 
-Conclusion 8. Given that the @*-Memory's temporal! intervals x54, xj! 
-are reflected as I2N-x;, 2N-x; 41, the reflection preserves the intervals' 
-absolute distances from the present. Proof: The least distance of X74, xj 
-from N is N-x;; the greatest distance is N-Xi 4. Adding the least distance, and 
-then the greatest distance, to N, gives I2N-x;, 2N-xj 41. 
+\proof: The least distance of $|x_{j-1}, x_j|$
+from $N$ is $N-x_j$; the greatest distance is $N-x_{j-1}$. Adding the least distance, and 
+then the greatest distance, to $N$, gives $|2N-x_j, 2N-x_{j-1}|$.
 
-I will end with two problems. If a ©*-Memory exists, under what 
-conditions will a ®*-Reflection be a precognition? Under what conditions 
+I will end with two problems. If a $\Phi*$-Memory exists, under what 
+conditions will a $\Phi*$-Reflection be a precognition? Under what conditions 
 will every assertion be prescience or foreknowledge? By a "precognition" I 
 don't mean a prediction about the future implied by deterministic laws; I 
 mean a direct "memory" of the future unconnected with general principles. 
 
-Finally, what would a precognitive ®*-Reflection be like as a mental 
+Finally, what would a precognitive $\Phi*$-Reflection be like as a mental 
 experience? What present or ongoing awareness would accompany a 
-precognitive ®*-Reflection? 
+precognitive $\Phi*$-Reflection? 
 
+\part{The New Modality}
 
-110 
-
-
-THE NEW MODALITY 
-
-
-SE eS 
-ESE BORO A SILGS 
-Sie DLS 
-
-Baie es 
-
-
-) 
-: 
-: 
-: 
-; 
-
-
-11. Representation of the Memory of an Energy Cube Organism 
-1966 VERSION 
+\chapter{Representation of the Memory of an Energy Cube Organism (1966 VERSION)}
 
 
 The energy cube organism is a conscious organism which is nothing but 
@@ -4230,40 +4182,6 @@ liquid. The slab, liquid, and spaces are the energy cube organism's entire
 cosmology. (See the illustration.) 
 
 
-Pay 
-'€ 
-= 
-£ 
-GS 
-= 
-£ 
-Pag 
-® 
-Oe aa eae 
-Sek Vn a ee a a , of 
-\ / : 
-liquid / 
-\ / Lo 
-/ 
-vee: fof} ae 
-\y oy 'i \/ empty space 
-yy 
-empty space /\ / 
-voy \ 
-/ / 
-
-; . i \ 
-/ aa / \ 
-liquid 
-/ Be eee ee 
-i -7~ ae 
-
-te pe 
-
-
-Ajluljul 02 spuarxa 
-
-
 ILLUSTRATION 
 
 
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