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

Revision as of 18:00, 10 November 2012

3,944 bytes added ,  18:00, 10 November 2012
→‎6.25. Analytic Intensional Representations: format tables
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<br>
 
<br>
   −
<pre>
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{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:80%"
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Table 68.1 AIR2 (B): Analytic Representation of B  
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|+ style="height:30px" |
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Object Sign Interpretant
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<math>\text{Table 68.1} ~~ \operatorname{AIR}_2 (L_\text{B}) : \text{Analytic Representation of} ~ L_\text{B}\!</math>
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<!>X <n>Y <n>Y
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|- style="height:40px; background:#f0f0ff"
−
<!>X <n>Y <!>Y
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| width="33%" | <math>\text{Object}\!</math>
−
<!>X <!>Y <n>Y
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| width="33%" | <math>\text{Sign}\!</math>
−
<!>X <!>Y <!>Y
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| width="33%" | <math>\text{Interpretant}\!</math>
−
<*>X <*>Y <*>Y
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|-
−
<*>X <*>Y <m>Y
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| valign="bottom" |
−
<*>X <m>Y <*>Y
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<math>\begin{matrix}
−
<*>X <m>Y <m>Y
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{\langle ! \rangle}_X
−
</pre>
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\\[4pt]
 +
{\langle ! \rangle}_X
 +
\\[4pt]
 +
{\langle ! \rangle}_X
 +
\\[4pt]
 +
{\langle ! \rangle}_X
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\text{n}\rangle}_Y
 +
\\[4pt]
 +
{\langle\text{n}\rangle}_Y
 +
\\[4pt]
 +
{\langle ! \rangle}_Y
 +
\\[4pt]
 +
{\langle ! \rangle}_Y
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\text{n}\rangle}_Y
 +
\\[4pt]
 +
{\langle ! \rangle}_Y
 +
\\[4pt]
 +
{\langle\text{n}\rangle}_Y
 +
\\[4pt]
 +
{\langle ! \rangle}_Y
 +
\end{matrix}</math>
 +
|-
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle * \rangle}_X
 +
\\[4pt]
 +
{\langle * \rangle}_X
 +
\\[4pt]
 +
{\langle * \rangle}_X
 +
\\[4pt]
 +
{\langle * \rangle}_X
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle * \rangle}_Y
 +
\\[4pt]
 +
{\langle * \rangle}_Y
 +
\\[4pt]
 +
{\langle\text{m}\rangle}_Y
 +
\\[4pt]
 +
{\langle\text{m}\rangle}_Y
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle * \rangle}_Y
 +
\\[4pt]
 +
{\langle\text{m}\rangle}_Y
 +
\\[4pt]
 +
{\langle * \rangle}_Y
 +
\\[4pt]
 +
{\langle\text{m}\rangle}_Y
 +
\end{matrix}</math>
 +
|}
    
<br>
 
<br>
   −
<pre>
+
{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:80%"
−
Table 68.2 AIR2 (Den B): Denotative Component of B  
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|+ style="height:30px" |
−
Object Sign Transition
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<math>\text{Table 68.2} ~~ \operatorname{AIR}_2 (\operatorname{Den}(L_\text{B})) : \text{Denotative Component of} ~ L_\text{B}\!</math>
−
<!>X <n>Y <<n>Y, <!>X>
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|- style="height:40px; background:#f0f0ff"
−
<!>X <!>Y <<!>Y, <!>X>  
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| width="33%" | <math>\text{Object}\!</math>
−
<*>X <*>Y <<*>Y, <*>X>
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| width="33%" | <math>\text{Sign}\!</math>
−
<*>X <m>Y <<m>Y, <*>X>
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| width="33%" | <math>\text{Transition}\!</math>
−
</pre>
+
|-
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle ! \rangle}_X
 +
\\[4pt]
 +
{\langle ! \rangle}_X
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\text{n}\rangle}_Y
 +
\\[4pt]
 +
{\langle ! \rangle}_Y
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{array}{r}
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{\langle\text{n}\rangle}_Y \mapsto {\langle ! \rangle}_X
 +
\\[4pt]
 +
{\langle ! \rangle}_Y \mapsto {\langle ! \rangle}_X
 +
\end{array}</math>
 +
|-
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle * \rangle}_X
 +
\\[4pt]
 +
{\langle * \rangle}_X
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle * \rangle}_Y
 +
\\[4pt]
 +
{\langle\text{m}\rangle}_Y
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{array}{r}
 +
{\langle * \rangle}_Y \mapsto {\langle * \rangle}_X
 +
\\[4pt]
 +
{\langle\text{m}\rangle}_Y \mapsto {\langle * \rangle}_X
 +
\end{array}</math>
 +
|}
    
<br>
 
<br>
   −
<pre>
+
{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:80%"
−
Table 68.3 AIR2 (Con B): Connotative Component of B  
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|+ style="height:30px" |
−
Sign Interpretant Transition
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<math>\text{Table 68.3} ~~ \operatorname{AIR}_2 (\operatorname{Con}(L_\text{B})) : \text{Connotative Component of} ~ L_\text{B}\!</math>
−
<n>Y <n>Y <d!>dY
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|- style="height:40px; background:#f0f0ff"
−
<n>Y <!>Y <dn>dY
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| width="33%" | <math>\text{Sign}\!</math>
−
<!>Y <n>Y <dn>dY
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| width="33%" | <math>\text{Interpretant}\!</math>
−
<!>Y <!>Y <d!>dY
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| width="33%" | <math>\text{Transition}\!</math>
−
<*>Y <*>Y <d!>dY
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|-
−
<*>Y <m>Y <dn>dY
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| valign="bottom" |
−
<m>Y <*>Y <dn>dY
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<math>\begin{matrix}
−
<m>Y <m>Y <d!>dY
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{\langle\text{n}\rangle}_Y
−
</pre>
+
\\[4pt]
 +
{\langle\text{n}\rangle}_Y
 +
\\[4pt]
 +
{\langle ! \rangle}_Y
 +
\\[4pt]
 +
{\langle ! \rangle}_Y
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\text{n}\rangle}_Y
 +
\\[4pt]
 +
{\langle ! \rangle}_Y
 +
\\[4pt]
 +
{\langle\text{n}\rangle}_Y
 +
\\[4pt]
 +
{\langle ! \rangle}_Y
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\operatorname{d}!\rangle}_{\operatorname{d}Y}
 +
\\[4pt]
 +
{\langle\operatorname{d}\text{n}\rangle}_{\operatorname{d}Y}
 +
\\[4pt]
 +
{\langle\operatorname{d}\text{n}\rangle}_{\operatorname{d}Y}
 +
\\[4pt]
 +
{\langle\operatorname{d}!\rangle}_{\operatorname{d}Y}
 +
\end{matrix}</math>
 +
|-
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle * \rangle}_Y
 +
\\[4pt]
 +
{\langle * \rangle}_Y
 +
\\[4pt]
 +
{\langle\text{m}\rangle}_Y
 +
\\[4pt]
 +
{\langle\text{m}\rangle}_Y
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle * \rangle}_Y
 +
\\[4pt]
 +
{\langle\text{m}\rangle}_Y
 +
\\[4pt]
 +
{\langle * \rangle}_Y
 +
\\[4pt]
 +
{\langle\text{m}\rangle}_Y
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{\langle\operatorname{d}!\rangle}_{\operatorname{d}Y}
 +
\\[4pt]
 +
{\langle\operatorname{d}\text{n}\rangle}_{\operatorname{d}Y}
 +
\\[4pt]
 +
{\langle\operatorname{d}\text{n}\rangle}_{\operatorname{d}Y}
 +
\\[4pt]
 +
{\langle\operatorname{d}!\rangle}_{\operatorname{d}Y}
 +
\end{matrix}</math>
 +
|}
 +
 
 +
<br>
    
===6.26. Differential Logic and Directed Graphs===
 
===6.26. Differential Logic and Directed Graphs===
Jon Awbrey
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