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Directory:Jon Awbrey/Papers/Peirce's 1870 Logic Of Relatives (view source)
Revision as of 20:31, 2 April 2009
, 20:31, 2 April 2009→Selection 8
==Selection 8==
==Selection 8==
===The Signs for Multiplication (cont.)===
{| align="center" cellspacing="6" width="90%" <!--QUOTE-->
{| align="center" cellspacing="6" width="90%" <!--QUOTE-->
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<p>Thus far, we have considered the multiplication of relative terms only. Since our conception of multiplication is the application of a relation, we can only multiply absolute terms by considering them as relatives.</p>
<p>Thus far, we have considered the multiplication of relative terms only. Since our conception of multiplication is the application of a relation, we can only multiply absolute terms by considering them as relatives.</p>
<p>Now the absolute term "man" is really exactly equivalent to the relative term "man that is ---", and so with any other. I shall write a comma after any absolute term to show that it is so regarded as a relative term.</p>
<p>Now the absolute term "man" is really exactly equivalent to the relative term "man that is ——", and so with any other. I shall write a comma after any absolute term to show that it is so regarded as a relative term.</p>
<p>Then "man that is black" will be written:</p>
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| align="center" | <math>\mathrm{m},\!\mathrm{b}\!</math>
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<p>But not only may any absolute term be thus regarded as a relative term, but any relative term may in the same way be regarded as a relative with one correlate more. It is convenient to take this additional correlate as the first one.</p>
<p>But not only may any absolute term be thus regarded as a relative term, but any relative term may in the same way be regarded as a relative with one correlate more. It is convenient to take this additional correlate as the first one.</p>
<p>Then:</p>
<p>Then:</p>
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| align="center" | <math>\mathit{l},\!\mathit{s}\mathrm{w}</math>
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<p>will denote a lover of a woman that is a servant of that woman.</p>
<p>will denote a lover of a woman that is a servant of that woman.</p>