Venn, John (1834-1923) - Research Article from Encyclopedia of Philosophy

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Logic

Venn was a follower of Boole and to a lesser extent of Mill and a defender of both against the criticisms of William Stanley Jevons on the one hand and of the idealist logicians on the other. His Symbolic Logic is an attempt to show not merely that the Boolean algebra "works" but also that it is in the main line of historical tradition and that its supposedly mathematical obscurities are in fact intelligible from a purely logical point of view. Like De Morgan, he is aware of the element of convention in the choice of a logical standpoint and hence of the possibility of alternative versions of the basic propositional forms. He thus contrasts the four Aristotelian (or "predicative") types of proposition with the eight forms of Sir William Hamilton (which reduce on analysis to the five possible relations of inclusion and exclusion between pairs...

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This section contains 1,545 words
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Buy the Venn, John (1834-1923) Encyclopedia Article
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Venn, John (1834-1923) from Encyclopedia of Philosophy. Copyright © 2001-2006 by Macmillan Reference USA, an imprint of the Gale Group. All rights reserved.
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