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Directory:Jon Awbrey/Papers/Inquiry Driven Systems : Part 6 (view source)

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Tables 57.1, 57.2, and 57.3 show several ways of representing the elements of O and S, presenting the "lateral" codes for world elements in their "mnemonic", "pragmatic", and "abstract" versions, respectively.  In each Table, Column 2 gives the coordinate vector x C X or y C Y as a bit string, using a subscript to indicate the relevant space, X or Y.  Column 3 lists the propositional expression of each element in the form of a conjunct term, in other words, as a logical product of positive and negative features, using doubly underlined capital letters for literal features of objects and doubly underlined lower case letters for literal features of quoted signs.  Finally, Column 4 shows the compact code for each element, using a conjunction of positive features in subscripted angle brackets to represent the corresponding conjunct term as a singular proposition.
 
Tables 57.1, 57.2, and 57.3 show several ways of representing the elements of O and S, presenting the "lateral" codes for world elements in their "mnemonic", "pragmatic", and "abstract" versions, respectively.  In each Table, Column 2 gives the coordinate vector x C X or y C Y as a bit string, using a subscript to indicate the relevant space, X or Y.  Column 3 lists the propositional expression of each element in the form of a conjunct term, in other words, as a logical product of positive and negative features, using doubly underlined capital letters for literal features of objects and doubly underlined lower case letters for literal features of quoted signs.  Finally, Column 4 shows the compact code for each element, using a conjunction of positive features in subscripted angle brackets to represent the corresponding conjunct term as a singular proposition.
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Table 57.1  Mnemonic Lateral Codes for Interpreters A & B
 
Table 57.1  Mnemonic Lateral Codes for Interpreters A & B
 
Element Vector Conjunct Term Code
 
Element Vector Conjunct Term Code
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"i" 0010Y (a)(b) i (u) <i>Y
 
"i" 0010Y (a)(b) i (u) <i>Y
 
"u" 0001Y (a)(b)(i) u <u>Y
 
"u" 0001Y (a)(b)(i) u <u>Y
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</pre>
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<br>
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<pre>
 
Table 57.2  Pragmatic Lateral Codes for Interpreters A & B
 
Table 57.2  Pragmatic Lateral Codes for Interpreters A & B
 
Element Vector Conjunct Term Code
 
Element Vector Conjunct Term Code
Line 4,293: Line 4,301:  
"i" 0010Y (s1)(s2) s3 (s4) <s3>Y
 
"i" 0010Y (s1)(s2) s3 (s4) <s3>Y
 
"u" 0001Y (s1)(s2)(s3) s4 <s4>Y
 
"u" 0001Y (s1)(s2)(s3) s4 <s4>Y
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</pre>
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<br>
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<pre>
 
Table 57.3  Abstract Lateral Codes for Interpreters A & B
 
Table 57.3  Abstract Lateral Codes for Interpreters A & B
 
Element Vector Conjunct Term Code
 
Element Vector Conjunct Term Code
Line 4,302: Line 4,314:  
"i" 0010Y (y1)(y2) y3 (y4) <y3>Y
 
"i" 0010Y (y1)(y2) y3 (y4) <y3>Y
 
"u" 0001Y (y1)(y2)(y3) y4 <y4>Y
 
"u" 0001Y (y1)(y2)(y3) y4 <y4>Y
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</pre>
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<br>
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<pre>
 
Table 58.1  LIR2 (A):  Lateral Representation of A
 
Table 58.1  LIR2 (A):  Lateral Representation of A
 
Object Sign Interpretant
 
Object Sign Interpretant
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(A) B (a)(b)(i) u (a) b (i)(u)
 
(A) B (a)(b)(i) u (a) b (i)(u)
 
(A) B (a)(b)(i) u (a)(b)(i) u  
 
(A) B (a)(b)(i) u (a)(b)(i) u  
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<pre>
 
Table 58.2  LIR2 (Den A):  Denotative Component of A
 
Table 58.2  LIR2 (Den A):  Denotative Component of A
 
Object Sign Transition
 
Object Sign Transition
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(A) B (a) b (i)(u) <<b>Y, <B>X>
 
(A) B (a) b (i)(u) <<b>Y, <B>X>
 
(A) B (a)(b)(i) u <<u>Y, <B>X>
 
(A) B (a)(b)(i) u <<u>Y, <B>X>
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</pre>
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<br>
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<pre>
 
Table 58.3  LIR2 (Con A):  Connotative Component of A
 
Table 58.3  LIR2 (Con A):  Connotative Component of A
 
Sign Interpretant Transition
 
Sign Interpretant Transition
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(a)(b)(i) u (a) b (i)(u) (da) db (di) du  
 
(a)(b)(i) u (a) b (i)(u) (da) db (di) du  
 
(a)(b)(i) u (a)(b)(i) u (da)(db)(di)(du)
 
(a)(b)(i) u (a)(b)(i) u (da)(db)(di)(du)
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</pre>
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<br>
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<pre>
 
Table 59.1  LIR2 (B):  Lateral Representation of B
 
Table 59.1  LIR2 (B):  Lateral Representation of B
 
Object Sign Interpretant
 
Object Sign Interpretant
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(A) B (a)(b) i (u) (a) b (i)(u)
 
(A) B (a)(b) i (u) (a) b (i)(u)
 
(A) B (a)(b) i (u) (a)(b) i (u)
 
(A) B (a)(b) i (u) (a)(b) i (u)
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</pre>
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<br>
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<pre>
 
Table 59.2  LIR2 (Den B):  Denotative Component of B
 
Table 59.2  LIR2 (Den B):  Denotative Component of B
 
Object Sign Transition
 
Object Sign Transition
Line 4,349: Line 4,381:  
(A) B (a) b (i)(u) <<b>Y, <B>X>
 
(A) B (a) b (i)(u) <<b>Y, <B>X>
 
(A) B (a)(b) i (u) <<i>Y, <B>X>
 
(A) B (a)(b) i (u) <<i>Y, <B>X>
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</pre>
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<br>
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<pre>
 
Table 59.3  LIR2 (Con B):  Connotative Component of B
 
Table 59.3  LIR2 (Con B):  Connotative Component of B
 
Sign Interpretant Transition
 
Sign Interpretant Transition
Line 4,360: Line 4,396:  
(a)(b) i (u) (a) b (i)(u) (da) db  di (du)
 
(a)(b) i (u) (a) b (i)(u) (da) db  di (du)
 
(a)(b) i (u) (a)(b) i (u) (da)(db)(di)(du)
 
(a)(b) i (u) (a)(b) i (u) (da)(db)(di)(du)
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</pre>
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<br>
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<pre>
 
Table 60.1  LIR3 (A):  Lateral Representation of A
 
Table 60.1  LIR3 (A):  Lateral Representation of A
 
Object Sign Interpretant
 
Object Sign Interpretant
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<B>X <u>Y <b>Y
 
<B>X <u>Y <b>Y
 
<B>X <u>Y <u>Y
 
<B>X <u>Y <u>Y
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</pre>
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<br>
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<pre>
 
Table 60.2  LIR3 (Den A):  Denotative Component of A
 
Table 60.2  LIR3 (Den A):  Denotative Component of A
 
Object Sign Transition
 
Object Sign Transition
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<B>X <b>Y <<b>Y, <B>X>
 
<B>X <b>Y <<b>Y, <B>X>
 
<B>X <u>Y <<u>Y, <B>X>
 
<B>X <u>Y <<u>Y, <B>X>
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</pre>
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<br>
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<pre>
 
Table 60.3  LIR3 (Con A):  Connotative Component of A
 
Table 60.3  LIR3 (Con A):  Connotative Component of A
 
Sign Interpretant Transition
 
Sign Interpretant Transition
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<u>Y <b>Y <db du>dY
 
<u>Y <b>Y <db du>dY
 
<u>Y <u>Y <>dY
 
<u>Y <u>Y <>dY
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</pre>
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<br>
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<pre>
 
Table 61.1  LIR3 (B):  Lateral Representation of B
 
Table 61.1  LIR3 (B):  Lateral Representation of B
 
Object Sign Interpretant
 
Object Sign Interpretant
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<B>X <i>Y <b>Y
 
<B>X <i>Y <b>Y
 
<B>X <i>Y <i>Y
 
<B>X <i>Y <i>Y
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</pre>
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<br>
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<pre>
 
Table 61.2  LIR3 (Den B):  Denotative Component of B
 
Table 61.2  LIR3 (Den B):  Denotative Component of B
 
Object Sign Transition
 
Object Sign Transition
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<B>X <b>Y <<b>Y, <B>X>
 
<B>X <b>Y <<b>Y, <B>X>
 
<B>X <i>Y <<i>Y, <B>X>
 
<B>X <i>Y <<i>Y, <B>X>
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</pre>
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<br>
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<pre>
 
Table 61.3  LIR3 (Con B):  Connotative Component of B
 
Table 61.3  LIR3 (Con B):  Connotative Component of B
 
Sign Interpretant Transition
 
Sign Interpretant Transition
Jon Awbrey
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