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==Selection 12==
 
==Selection 12==
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===The Sign of Involution===
    
{| 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>
    
<p>Then</p>
 
<p>Then</p>
 
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: <p>('s'<sup>'l'</sup>)<sup>w</sup></p>
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| align="center" | <math>(\mathit{s}^\mathit{l})^\mathrm{w}\!</math>
 
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<p>will denote whatever stands to every woman in the relation of servant of every lover of hers;</p>
 
<p>will denote whatever stands to every woman in the relation of servant of every lover of hers;</p>
    
<p>and</p>
 
<p>and</p>
 
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: <p>'s'<sup>('l'w)</sup></p>
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| align="center" | <math>\mathit{s}^{(\mathit{l}\mathrm{w})}\!</math>
 
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<p>will denote whatever is a servant of everything that is lover of a woman.</p>
 
<p>will denote whatever is a servant of everything that is lover of a woman.</p>
    
<p>So that</p>
 
<p>So that</p>
 
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: <p>('s'<sup>'l'</sup>)<sup>w</sup> = 's'<sup>('l'w)</sup>.</p>
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| align="center" | <math>(\mathit{s}^\mathit{l})^\mathrm{w} ~=~ \mathit{s}^{(\mathit{l}\mathrm{w})}.</math>
 
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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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