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==Selection 12==

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<~~pre~~>

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| The Sign of Involution

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'''The Sign of Involution'''

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| I shall take involution in such a sense that x^y

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I shall take involution in such a sense that ''x''''y'' will denote everything which is an ''x'' for every individual of ''y''.

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| will denote everything which is an x for every

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| individual of y.

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Thus

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| Thus

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: 'l'w

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| 'l'^w

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will be a lover of every woman.

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|

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| will be a lover of every woman.

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Then

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| Then

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: ('s''l')w

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| ('s'^'l')^w

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will denote whatever stands to every woman in the relation of servant of every lover of hers;

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|

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| will denote whatever stands to every woman in

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and

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| the relation of servant of every lover of hers;

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: 's'('l'w)

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| and

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will denote whatever is a servant of everything that is lover of a woman.

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| 's'^('l'w)

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So that

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| will denote whatever is a servant of

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| everything that is lover of a woman.

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: ('s''l')w = 's'('l'w).

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| So that

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(C.S. Peirce, CP 3.77).

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</blockquote>

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| ('s'^'l')^w = 's'^('l'w).

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| C.S. Peirce, CP 3.77

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|

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~~| Charles Sanders Peirce,~~

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~~|"Description of a Notation for the Logic of Relatives,~~

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~~| Resulting from an Amplification of the Conceptions of Boole's Calculus of Logic",~~

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~~|'Memoirs of the American Academy', Volume 9, pages 317-378, 26 January 1870,~~

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~~|'Collected Papers' (CP 3.45-149), 'Chronological Edition' (CE 2, 359-429~~).

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</~~pre~~>

===Commentary Note 12===

Jon Awbrey

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