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

Revision as of 03:54, 30 September 2012

11,940 bytes added ,  03:54, 30 September 2012
→‎6.24. Literal Intensional Representations: format tables
Line 6,521: Line 6,521:  
<br>
 
<br>
   −
<pre>
+
{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:80%"
−
Table 61.1 LIR3 (B): Lateral Representation of B
+
|+ style="height:30px" |
−
Object Sign Interpretant
+
<math>\text{Table 60.1} ~~ \operatorname{LIR}_3 (L_\text{A}) : \text{Lateral Representation of} ~ L_\text{A}\!</math>
−
<A>X <a>Y <a>Y
+
|- style="height:40px; background:#f0f0ff"
−
<A>X <a>Y <u>Y
+
| width="33%" | <math>\text{Object}\!</math>
−
<A>X <u>Y <a>Y
+
| width="33%" | <math>\text{Sign}\!</math>
−
<A>X <u>Y <u>Y
+
| width="33%" | <math>\text{Interpretant}\!</math>
−
<B>X <b>Y <b>Y
+
|-
−
<B>X <b>Y <i>Y
+
| valign="bottom" |
−
<B>X <i>Y <b>Y
+
<math>\begin{matrix}
−
<B>X <i>Y <i>Y
+
{\langle\underline{\underline{\text{A}}}\rangle}_X
−
</pre>
+
\\[4pt]
 +
{\langle\underline{\underline{\text{A}}}\rangle}_X
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{A}}}\rangle}_X
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{A}}}\rangle}_X
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\underline{\underline{\text{a}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{a}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{i}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{i}}}\rangle}_Y
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\underline{\underline{\text{a}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{i}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{a}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{i}}}\rangle}_Y
 +
\end{matrix}</math>
 +
|-
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\underline{\underline{\text{B}}}\rangle}_X
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{B}}}\rangle}_X
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{B}}}\rangle}_X
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{B}}}\rangle}_X
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\underline{\underline{\text{b}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{b}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{u}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{u}}}\rangle}_Y
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\underline{\underline{\text{b}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{u}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{b}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{u}}}\rangle}_Y
 +
\end{matrix}</math>
 +
|}
    
<br>
 
<br>
   −
<pre>
+
{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:80%"
−
Table 61.2 LIR3 (Den B): Denotative Component of B
+
|+ style="height:30px" |
−
Object Sign Transition
+
<math>\text{Table 60.2} ~~ \operatorname{LIR}_3 (\operatorname{Den}(L_\text{A})) : \text{Denotative Component of} ~ L_\text{A}\!</math>
−
<A>X <a>Y <<a>Y, <A>X>
+
|- style="height:40px; background:#f0f0ff"
−
<A>X <u>Y <<u>Y, <A>X>
+
| width="33%" | <math>\text{Object}\!</math>
−
<B>X <b>Y <<b>Y, <B>X>
+
| width="33%" | <math>\text{Sign}\!</math>
−
<B>X <i>Y <<i>Y, <B>X>
+
| width="33%" | <math>\text{Transition}\!</math>
−
</pre>
+
|-
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\underline{\underline{\text{A}}}\rangle}_X
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{A}}}\rangle}_X
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\underline{\underline{\text{a}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{i}}}\rangle}_Y
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
({\langle\underline{\underline{\text{a}}}\rangle}_Y,
 +
{\langle\underline{\underline{\text{A}}}\rangle}_X)
 +
\\[4pt]
 +
({\langle\underline{\underline{\text{i}}}\rangle}_Y,
 +
{\langle\underline{\underline{\text{A}}}\rangle}_X)
 +
\end{matrix}</math>
 +
|-
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\underline{\underline{\text{B}}}\rangle}_X
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{B}}}\rangle}_X
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\underline{\underline{\text{b}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{u}}}\rangle}_Y
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
({\langle\underline{\underline{\text{b}}}\rangle}_Y,
 +
{\langle\underline{\underline{\text{B}}}\rangle}_X)
 +
\\[4pt]
 +
({\langle\underline{\underline{\text{u}}}\rangle}_Y,
 +
{\langle\underline{\underline{\text{B}}}\rangle}_X)
 +
\end{matrix}</math>
 +
|}
    
<br>
 
<br>
   −
<pre>
+
{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:80%"
−
Table 61.3 LIR3 (Con B): Connotative Component of B
+
|+ style="height:30px" |
−
Sign Interpretant Transition
+
<math>\text{Table 60.3} ~~ \operatorname{LIR}_3 (\operatorname{Con}(L_\text{A})) : \text{Connotative Component of} ~ L_\text{A}\!</math>
−
<a>Y <a>Y <>dY
+
|- style="height:40px; background:#f0f0ff"
−
<a>Y <u>Y <da du>dY
+
| width="33%" | <math>\text{Sign}\!</math>
−
<u>Y <a>Y <da du>dY
+
| width="33%" | <math>\text{Interpretant}\!</math>
−
<u>Y <u>Y <>dY
+
| width="33%" | <math>\text{Transition}\!</math>
−
<b>Y <b>Y <>dY
+
|-
−
<b>Y <i>Y <db di>dY
+
| valign="bottom" |
−
<i>Y <b>Y <db di>dY
+
<math>\begin{matrix}
−
<i>Y <i>Y <>dY
+
{\langle\underline{\underline{\text{a}}}\rangle}_Y
−
</pre>
+
\\[4pt]
 +
{\langle\underline{\underline{\text{a}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{i}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{i}}}\rangle}_Y
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\underline{\underline{\text{a}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{i}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{a}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{i}}}\rangle}_Y
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
0_{\operatorname{d}Y}
 +
\\[4pt]
 +
{\langle
 +
\operatorname{d}\underline{\underline{\text{a}}}
 +
~
 +
\operatorname{d}\underline{\underline{\text{i}}}
 +
\rangle}_{\operatorname{d}Y}
 +
\\[4pt]
 +
{\langle
 +
\operatorname{d}\underline{\underline{\text{a}}}
 +
~
 +
\operatorname{d}\underline{\underline{\text{i}}}
 +
\rangle}_{\operatorname{d}Y}
 +
\\[4pt]
 +
0_{\operatorname{d}Y}
 +
\end{matrix}</math>
 +
|-
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\underline{\underline{\text{b}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{b}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{u}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{u}}}\rangle}_Y
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\underline{\underline{\text{b}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{u}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{b}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{u}}}\rangle}_Y
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
0_{\operatorname{d}Y}
 +
\\[4pt]
 +
{\langle
 +
\operatorname{d}\underline{\underline{\text{b}}}
 +
~
 +
\operatorname{d}\underline{\underline{\text{u}}}
 +
\rangle}_{\operatorname{d}Y}
 +
\\[4pt]
 +
{\langle
 +
\operatorname{d}\underline{\underline{\text{b}}}
 +
~
 +
\operatorname{d}\underline{\underline{\text{u}}}
 +
\rangle}_{\operatorname{d}Y}
 +
\\[4pt]
 +
0_{\operatorname{d}Y}
 +
\end{matrix}</math>
 +
|}
 +
 
 +
<br>
 +
 
 +
{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:80%"
 +
|+ style="height:30px" |
 +
<math>\text{Table 61.1} ~~ \operatorname{LIR}_3 (L_\text{B}) : \text{Lateral Representation of} ~ L_\text{B}\!</math>
 +
|- style="height:40px; background:#f0f0ff"
 +
| width="33%" | <math>\text{Object}\!</math>
 +
| width="33%" | <math>\text{Sign}\!</math>
 +
| width="33%" | <math>\text{Interpretant}\!</math>
 +
|-
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\underline{\underline{\text{A}}}\rangle}_X
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{A}}}\rangle}_X
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{A}}}\rangle}_X
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{A}}}\rangle}_X
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\underline{\underline{\text{a}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{a}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{u}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{u}}}\rangle}_Y
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\underline{\underline{\text{a}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{u}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{a}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{u}}}\rangle}_Y
 +
\end{matrix}</math>
 +
|-
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\underline{\underline{\text{B}}}\rangle}_X
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{B}}}\rangle}_X
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{B}}}\rangle}_X
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{B}}}\rangle}_X
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\underline{\underline{\text{b}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{b}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{i}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{i}}}\rangle}_Y
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\underline{\underline{\text{b}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{i}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{b}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{i}}}\rangle}_Y
 +
\end{matrix}</math>
 +
|}
 +
 
 +
<br>
 +
 
 +
{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:80%"
 +
|+ style="height:30px" |
 +
<math>\text{Table 61.2} ~~ \operatorname{LIR}_3 (\operatorname{Den}(L_\text{B})) : \text{Denotative Component of} ~ L_\text{B}\!</math>
 +
|- style="height:40px; background:#f0f0ff"
 +
| width="33%" | <math>\text{Object}\!</math>
 +
| width="33%" | <math>\text{Sign}\!</math>
 +
| width="33%" | <math>\text{Transition}\!</math>
 +
|-
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\underline{\underline{\text{A}}}\rangle}_X
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{A}}}\rangle}_X
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\underline{\underline{\text{a}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{u}}}\rangle}_Y
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
({\langle\underline{\underline{\text{a}}}\rangle}_Y,
 +
{\langle\underline{\underline{\text{A}}}\rangle}_X)
 +
\\[4pt]
 +
({\langle\underline{\underline{\text{u}}}\rangle}_Y,
 +
{\langle\underline{\underline{\text{A}}}\rangle}_X)
 +
\end{matrix}</math>
 +
|-
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\underline{\underline{\text{B}}}\rangle}_X
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{B}}}\rangle}_X
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\underline{\underline{\text{b}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{i}}}\rangle}_Y
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
({\langle\underline{\underline{\text{b}}}\rangle}_Y,
 +
{\langle\underline{\underline{\text{B}}}\rangle}_X)
 +
\\[4pt]
 +
({\langle\underline{\underline{\text{i}}}\rangle}_Y,
 +
{\langle\underline{\underline{\text{B}}}\rangle}_X)
 +
\end{matrix}</math>
 +
|}
 +
 
 +
<br>
 +
 
 +
{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:80%"
 +
|+ style="height:30px" |
 +
<math>\text{Table 61.3} ~~ \operatorname{LIR}_3 (\operatorname{Con}(L_\text{B})) : \text{Connotative Component of} ~ L_\text{B}\!</math>
 +
|- style="height:40px; background:#f0f0ff"
 +
| width="33%" | <math>\text{Sign}\!</math>
 +
| width="33%" | <math>\text{Interpretant}\!</math>
 +
| width="33%" | <math>\text{Transition}\!</math>
 +
|-
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\underline{\underline{\text{a}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{a}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{u}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{u}}}\rangle}_Y
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\underline{\underline{\text{a}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{u}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{a}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{u}}}\rangle}_Y
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
0_{\operatorname{d}Y}
 +
\\[4pt]
 +
{\langle
 +
\operatorname{d}\underline{\underline{\text{a}}}
 +
~
 +
\operatorname{d}\underline{\underline{\text{u}}}
 +
\rangle}_{\operatorname{d}Y}
 +
\\[4pt]
 +
{\langle
 +
\operatorname{d}\underline{\underline{\text{a}}}
 +
~
 +
\operatorname{d}\underline{\underline{\text{u}}}
 +
\rangle}_{\operatorname{d}Y}
 +
\\[4pt]
 +
0_{\operatorname{d}Y}
 +
\end{matrix}</math>
 +
|-
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\underline{\underline{\text{b}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{b}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{i}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{i}}}\rangle}_Y
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\underline{\underline{\text{b}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{i}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{b}}}\rangle}_Y
 +
\\[4pt]
 +
{\langle\underline{\underline{\text{i}}}\rangle}_Y
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
0_{\operatorname{d}Y}
 +
\\[4pt]
 +
{\langle
 +
\operatorname{d}\underline{\underline{\text{b}}}
 +
~
 +
\operatorname{d}\underline{\underline{\text{i}}}
 +
\rangle}_{\operatorname{d}Y}
 +
\\[4pt]
 +
{\langle
 +
\operatorname{d}\underline{\underline{\text{b}}}
 +
~
 +
\operatorname{d}\underline{\underline{\text{i}}}
 +
\rangle}_{\operatorname{d}Y}
 +
\\[4pt]
 +
0_{\operatorname{d}Y}
 +
\end{matrix}</math>
 +
|}
 +
 
 +
<br>
    
===6.25. Analytic Intensional Representations===
 
===6.25. Analytic Intensional Representations===
Jon Awbrey
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