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{| align="center" border="1" cellpadding="6" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:90%"
 
{| align="center" border="1" cellpadding="6" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:90%"
 
|+ '''Table 7.  Syllogistic Premisses as Higher Order Indicator Functions'''
 
|+ '''Table 7.  Syllogistic Premisses as Higher Order Indicator Functions'''
| A
+
| <math>\mathrm{A}\!</math>
 
| align=left | Universal Affirmative
 
| align=left | Universal Affirmative
 
| align=left | All
 
| align=left | All
| x || is || y
+
| <math>x\!</math> || is || <math>y\!</math>
| align=left | Indicator of " x (y)" = 0
+
| align=left | Indicator of <math>x (\!| y |\!) = 0</math>
 
|-
 
|-
| E
+
| <math>\mathrm{E}\!</math>
 
| align=left | Universal Negative
 
| align=left | Universal Negative
 
| align=left | All
 
| align=left | All
| x || is || (y)
+
| <math>x\!</math> || is || <math>(\!| y |\!)</math>
| align=left | Indicator of " x y " = 0
+
| align=left | Indicator of <math>x\ y = 0\!</math>
 
|-
 
|-
| I
+
| <math>\mathrm{I}\!</math>
 
| align=left | Particular Affirmative
 
| align=left | Particular Affirmative
 
| align=left | Some
 
| align=left | Some
| x || is || y
+
| <math>x\!</math> || is || <math>y\!</math>
| align=left | Indicator of " x y " = 1
+
| align=left | Indicator of <math>x\ y = 1\!</math>
 
|-
 
|-
| O
+
| <math>\mathrm{O}\!</math>
 
| align=left | Particular Negative
 
| align=left | Particular Negative
 
| align=left | Some
 
| align=left | Some
| x || is || (y)
+
| <math>x\!</math> || is || <math>(\!| y |\!)</math>
| align=left | Indicator of " x (y)" = 1
+
| align=left | Indicator of <math>x (\!| y |\!) = 1</math>
|}<br>
+
|}
    
Tables&nbsp;8 and 9 develop these ideas in more detail.
 
Tables&nbsp;8 and 9 develop these ideas in more detail.
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