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<pre>
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{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:80%"
Table 84. Reflective Extension Ref1(A|E2)
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|+ style="height:30px" | <math>\text{Table 84.} ~~ \text{Reflective Extension} ~ \operatorname{Ref}^1 (\text{A} | E_2)\!</math>
Object Sign Interpretant
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|- style="height:40px; background:#f0f0ff"
A <A> <A>
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| width="33%" | <math>\text{Object}\!</math>
A <A> <i>
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| width="33%" | <math>\text{Sign}\!</math>
A <i> <A>
+
| width="33%" | <math>\text{Interpretant}\!</math>
A <i> <i>
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|-
B <B> <B>
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| valign="bottom" |
B <B> <u>
+
<math>\begin{matrix}
B <u> <B>
+
\text{A}
B <u> <u>
+
\\
<A> A A
+
\text{A}
<B> B B
+
\\
<i> A A
+
\text{A}
<u> B B
+
\\
</pre>
+
\text{A}
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{}^{\langle} \text{A} {}^{\rangle}
 +
\\
 +
{}^{\langle} \text{A} {}^{\rangle}
 +
\\
 +
{}^{\langle} \text{i} {}^{\rangle}
 +
\\
 +
{}^{\langle} \text{i} {}^{\rangle}
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{}^{\langle} \text{A} {}^{\rangle}
 +
\\
 +
{}^{\langle} \text{i} {}^{\rangle}
 +
\\
 +
{}^{\langle} \text{A} {}^{\rangle}
 +
\\
 +
{}^{\langle} \text{i} {}^{\rangle}
 +
\end{matrix}</math>
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|-
 +
| valign="bottom" |
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<math>\begin{matrix}
 +
\text{B}
 +
\\
 +
\text{B}
 +
\\
 +
\text{B}
 +
\\
 +
\text{B}
 +
\end{matrix}</math>
 +
| valign="bottom" |
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<math>\begin{matrix}
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{}^{\langle} \text{B} {}^{\rangle}
 +
\\
 +
{}^{\langle} \text{B} {}^{\rangle}
 +
\\
 +
{}^{\langle} \text{u} {}^{\rangle}
 +
\\
 +
{}^{\langle} \text{u} {}^{\rangle}
 +
\end{matrix}</math>
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| valign="bottom" |
 +
<math>\begin{matrix}
 +
{}^{\langle} \text{B} {}^{\rangle}
 +
\\
 +
{}^{\langle} \text{u} {}^{\rangle}
 +
\\
 +
{}^{\langle} \text{B} {}^{\rangle}
 +
\\
 +
{}^{\langle} \text{u} {}^{\rangle}
 +
\end{matrix}</math>
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|-
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{}^{\langle} \text{A} {}^{\rangle}
 +
\\
 +
{}^{\langle} \text{B} {}^{\rangle}
 +
\\
 +
{}^{\langle} \text{i} {}^{\rangle}
 +
\\
 +
{}^{\langle} \text{u} {}^{\rangle}
 +
\end{matrix}</math>
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| valign="bottom" |
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<math>\begin{matrix}
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\text{A}
 +
\\
 +
\text{B}
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\\
 +
\text{A}
 +
\\
 +
\text{B}
 +
\end{matrix}</math>
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| valign="bottom" |
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<math>\begin{matrix}
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\text{A}
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\\
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\text{B}
 +
\\
 +
\text{A}
 +
\\
 +
\text{B}
 +
\end{matrix}</math>
 +
|}
    
<br>
 
<br>
   −
<pre>
+
{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:80%"
Table 85. Reflective Extension Ref1(B|E2)
+
|+ style="height:30px" | <math>\text{Table 85.} ~~ \text{Reflective Extension} ~ \operatorname{Ref}^1 (\text{B} | E_2)\!</math>
Object Sign Interpretant
+
|- style="height:40px; background:#f0f0ff"
A <A> <A>
+
| width="33%" | <math>\text{Object}\!</math>
A <A> <u>
+
| width="33%" | <math>\text{Sign}\!</math>
A <u> <A>
+
| width="33%" | <math>\text{Interpretant}\!</math>
A <u> <u>
+
|-
B <B> <B>
+
| valign="bottom" |
B <B> <i>
+
<math>\begin{matrix}
B <i> <B>
+
\text{A}
B <i> <i>
+
\\
<A> A A
+
\text{A}
<B> B B
+
\\
<i> B B
+
\text{A}
<u> A A
+
\\
</pre>
+
\text{A}
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{}^{\langle} \text{A} {}^{\rangle}
 +
\\
 +
{}^{\langle} \text{A} {}^{\rangle}
 +
\\
 +
{}^{\langle} \text{u} {}^{\rangle}
 +
\\
 +
{}^{\langle} \text{u} {}^{\rangle}
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{}^{\langle} \text{A} {}^{\rangle}
 +
\\
 +
{}^{\langle} \text{u} {}^{\rangle}
 +
\\
 +
{}^{\langle} \text{A} {}^{\rangle}
 +
\\
 +
{}^{\langle} \text{u} {}^{\rangle}
 +
\end{matrix}</math>
 +
|-
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
\text{B}
 +
\\
 +
\text{B}
 +
\\
 +
\text{B}
 +
\\
 +
\text{B}
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{}^{\langle} \text{B} {}^{\rangle}
 +
\\
 +
{}^{\langle} \text{B} {}^{\rangle}
 +
\\
 +
{}^{\langle} \text{i} {}^{\rangle}
 +
\\
 +
{}^{\langle} \text{i} {}^{\rangle}
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{}^{\langle} \text{B} {}^{\rangle}
 +
\\
 +
{}^{\langle} \text{i} {}^{\rangle}
 +
\\
 +
{}^{\langle} \text{B} {}^{\rangle}
 +
\\
 +
{}^{\langle} \text{i} {}^{\rangle}
 +
\end{matrix}</math>
 +
|-
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
{}^{\langle} \text{A} {}^{\rangle}
 +
\\
 +
{}^{\langle} \text{B} {}^{\rangle}
 +
\\
 +
{}^{\langle} \text{i} {}^{\rangle}
 +
\\
 +
{}^{\langle} \text{u} {}^{\rangle}
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
\text{A}
 +
\\
 +
\text{B}
 +
\\
 +
\text{B}
 +
\\
 +
\text{A}
 +
\end{matrix}</math>
 +
| valign="bottom" |
 +
<math>\begin{matrix}
 +
\text{A}
 +
\\
 +
\text{B}
 +
\\
 +
\text{B}
 +
\\
 +
\text{A}
 +
\end{matrix}</math>
 +
|}
 +
 
 +
<br>
    
===6.44. Reflections on Closure===
 
===6.44. Reflections on Closure===
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