<--

1 files changed, 20 insertions, 20 deletions

diff --git a/essays/studies_in_constructed_memories.tex b/essays/studies_in_constructed_memories.tex
index 80303cd..2612ead 100644
--- a/essays/studies_in_constructed_memories.tex
+++ b/essays/studies_in_constructed_memories.tex
@@ -54,7 +54,7 @@ Consider the memory that I was almost run down by a truck yesterday:
 I could have been run down, but wasn't. In such a case, the possibility that I 
 could have been run down would be more vivid than the actuality that I 
 wasn't. (Is it not insanity, when a person is overwhelmed by the fear of a 
-merely possible past event? ) My hold on sanity here would be the awareness 
+merely possible past event?) My hold on sanity here would be the awareness 
 that I am alive and well today. 
 
 In dreams, do we not wholeheartedly "remember" that a misfortune 
@@ -227,7 +227,7 @@ By definition.
 \conclusion{3.2} An M-Memory has to occur within the time which the 
 possible methods require, the time required to accomplich G. By definition. 
 
-\definition An "M*-Memory" is an M-Memory satisfying these 
+\definition An "$M^*$-Memory" is an M-Memory satisfying these 
 conditions. 
 \begin{enumerate}
 \item $A_{a_i}$, for the entire time it requires, involves the voluntary 
@@ -237,7 +237,7 @@ possible methods, the cross-method contact, is specifically some sort of
 contact between states. 
 \end{enumerate}
 
-\conclusion{3.3} For an M*-Memory, to remember is to choose the 
+\conclusion{3.3} For an $M^*$-Memory, to remember is to choose the 
 mental state in which the remembering is required to occur (by the 
 memory). After all, for any M-Memory, to remember is to choose all the 
 $A_{a_i}$-required things you are doing while you remember. 
@@ -375,7 +375,7 @@ could be greater than $x_{j+1}-x_j$. But since $S_j$ goes into the preconscious
 $S_j$ is not actually thought in the earliest interval during which it could be 
 thought. See the diagram. 
 
-\img{dmemdiag}
+\imgw{4in}{img/dmemdiag}
 
 \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 $\delta(S_j)$, 
@@ -388,10 +388,10 @@ to be one of the events for the organism to be aware of the infall.
 \section{$\Phi$-Memories}
 I will conclude these studies with two complex constructions. 
 
-\definition A "$\Phi$-Memory" is a memory which includes an M*-Memory 
+\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 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 
@@ -415,28 +415,28 @@ $$ \triangle(\mathparagraph^m)=\sum_{j=1}^{m} \delta_j $$
 The permutations of the D-sentences, as well as the D-paragraphs, can be 
 indexed with the $a_i$, just as the possible methods are. 
 
-Definition. A "$\Phi*$-Memory" is a $\Phi$-Memory in which the order of the 
+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. 
+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 $\Phi*$-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 "$\Phi*$-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. 
+\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 
+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 
@@ -445,7 +445,7 @@ defined as before (so that in particular the permutations can be indexed with
 the $a_i$). 
 \end{enumerate}
 
-\conclusion{8} Given that the $\Phi*$-Memory's temporal intervals $|x_{j-1}, x_j|$
+\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. 
 
@@ -453,13 +453,13 @@ absolute distances from the present.
 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 $\Phi*$-Memory exists, under what 
-conditions will a $\Phi*$-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 $\Phi*$-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 $\Phi*$-Reflection? 
+precognitive $\Phi^*$-Reflection?