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Directory:Jon Awbrey/Papers/Peirce's 1870 Logic Of Relatives (view source)
Revision as of 03:00, 20 April 2009
, 03:00, 20 April 2009→Commentary Note 11.24
And so we come to the end of the "number of" examples that we found on our agenda at this point in the text:
And so we come to the end of the "number of" examples that we found on our agenda at this point in the text:
'''NOF 4.5'''
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<p>It is to be observed that:</p>
<p>It is to be observed that:</p>
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| align="center" | <math>[\mathit{1}] ~=~ \mathfrak{1}.</math>
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<p>Boole was the first to show this connection between logic and probabilities. He was restricted, however, to absolute terms. I do not remember having seen any extension of probability to relatives, except the ordinary theory of ''expectation''.</p>
<p>Boole was the first to show this connection between logic and probabilities. He was restricted, however, to absolute terms. I do not remember having seen any extension of probability to relatives, except the ordinary theory of ''expectation''.</p>
<p>Our logical multiplication, then, satisfies the essential conditions of multiplication, has a unity, has a conception similar to that of admitted multiplications, and contains numerical multiplication as a case under it.</p>
<p>Our logical multiplication, then, satisfies the essential conditions of multiplication, has a unity, has a conception similar to that of admitted multiplications, and contains numerical multiplication as a case under it.</p>
<p>C.S. Peirce, CP 3.76</p>
<p>(Peirce, CP 3.76).</p>
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