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Revision as of 22:44, 13 December 2008
, 22:44, 13 December 2008update
===Figure 15===
===Figure 15===
===Table 16-1===
===Table 16===
{| align="center" border="1" cellpadding="8" cellspacing="0" style="font-weight:bold; width:96%"
|+ '''Table 16. Syllogistic Premisses as Higher Order Indicator Functions'''
|
<math>\begin{array}{clcl}
\mathrm{A} &
\mathrm{Universal~Affirmative} &
\mathrm{All}\ u\ \mathrm{is}\ v &
\mathrm{Indicator~of}\ u (v) = 0 \\
\mathrm{E} &
\mathrm{Universal~Negative} &
\mathrm{All}\ u\ \mathrm{is}\ (v) &
\mathrm{Indicator~of}\ u \cdot v = 0 \\
\mathrm{I} &
\mathrm{Particular~Affirmative} &
\mathrm{Some}\ u\ \mathrm{is}\ v &
\mathrm{Indicator~of}\ u \cdot v = 1 \\
\mathrm{O} &
\mathrm{Particular~Negative} &
\mathrm{Some}\ u\ \mathrm{is}\ (v) &
\mathrm{Indicator~of}\ u (v) = 1 \\
\end{array}</math>
|}<br>
===Table 17===
{| align="center" border="1" cellpadding="2" cellspacing="0" style="font-weight:bold; text-align:center; width:96%"
{| align="center" border="1" cellpadding="2" cellspacing="0" style="font-weight:bold; text-align:center; width:96%"
|+ '''Table 16-1. Simple Qualifiers of Propositions (Version 1)'''
|+ '''Table 17. Simple Qualifiers of Propositions (Version 1)'''
|- style="background:ghostwhite"
|- style="background:ghostwhite"
| align="right" | <math>u:</math><br><math>v:</math>
| align="right" | <math>u:</math><br><math>v:</math>
|}<br>
|}<br>
===Table 16-2===
===Table 18===
{| align="center" border="1" cellpadding="2" cellspacing="0" style="font-weight:bold; text-align:center; width:96%"
{| align="center" border="1" cellpadding="2" cellspacing="0" style="font-weight:bold; text-align:center; width:96%"
|+ '''Table 16-2. Simple Qualifiers of Propositions (Version 2)'''
|+ '''Table 18. Simple Qualifiers of Propositions (Version 2)'''
|- style="background:ghostwhite"
|- style="background:ghostwhite"
| align="right" | <math>u:</math><br><math>v:</math>
| align="right" | <math>u:</math><br><math>v:</math>
|}<br>
|}<br>
===Table 17===
===Table 19===
{| align="center" border="1" cellpadding="2" cellspacing="0" style="font-weight:bold; text-align:center; width:96%"
{| align="center" border="1" cellpadding="2" cellspacing="0" style="font-weight:bold; text-align:center; width:96%"
|+ '''Table 17. Relation of Quantifiers to Higher Order Propositions'''
|+ '''Table 19. Relation of Quantifiers to Higher Order Propositions'''
|- style="background:ghostwhite"
|- style="background:ghostwhite"
| <math>\text{Mnemonic}</math>
| <math>\text{Mnemonic}</math>
