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===Commentary Note 12===
 
===Commentary Note 12===
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Let us make a few preliminary observations about the "logical sign of involution", as Peirce uses it here:
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Let us make a few preliminary observations about the operation of ''logical involution", as Peirce introduces it here:
    
{| align="center" cellspacing="6" width="90%" <!--QUOTE-->
 
{| align="center" cellspacing="6" width="90%" <!--QUOTE-->
 
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<p>'''The Sign of Involution'''</p>
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<p>I shall take involution in such a sense that <math>x^y\!</math> will denote everything which is an <math>x\!</math> for every individual of <math>y.\!</math></p>
 
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<p>I shall take involution in such a sense that ''x''<sup>''y''</sup> will denote everything which is an ''x'' for every individual of ''y''.</p>
      
<p>Thus</p>
 
<p>Thus</p>
 
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: <p>'l'<sup>w</sup></p>
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| align="center" | <math>\mathit{l}^\mathrm{w}\!</math>
 
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<p>will be a lover of every woman.</p>
 
<p>will be a lover of every woman.</p>
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<p>(C.S. Peirce, CP 3.77).</p>
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<p>(Peirce, CP 3.77).</p>
 
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