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Directory:Jon Awbrey/Papers/Peirce's 1870 Logic Of Relatives (view source)
Revision as of 21:17, 1 April 2009
, 21:17, 1 April 2009→Selection 5
<p>'''The Signs for Multiplication'''</p>
<p>'''The Signs for Multiplication'''</p>
<p>I shall adopt for the conception of multiplication 'the application of a relation', in such a way that, for example, 'l'w shall denote whatever is lover of a woman. This notation is the same as that used by Mr. De Morgan, although he apears not to have had multiplication in his mind.</p>
<p>I shall adopt for the conception of multiplication ''the application of a relation'', in such a way that, for example, <math>\mathit{l}\mathrm{w}\!</math> shall denote whatever is lover of a woman. This notation is the same as that used by Mr. De Morgan, although he apears not to have had multiplication in his mind.</p>
<p><math>\mathit{s}(\mathrm{m} ~+\!\!,~ \mathrm{w})</math> will, then, denote whatever is servant of anything of the class composed of men and women taken together. So that:</p>
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| align="center" | <math>\mathit{s}(\mathrm{m} ~+\!\!,~ \mathrm{w}) ~=~ \mathit{s}\mathrm{m} ~+\!\!,~ \mathit{s}\mathrm{w}</math>
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<p>('l' +, 's')w will denote whatever is lover or servant to a woman, and:</p>
<p>('l' +, 's')w will denote whatever is lover or servant to a woman, and:</p>