Aristotle s logic stanford
[PDF File]Aristotle and Luk asiewicz on Existential Import
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There is a widespread account of Aristotle’s logic which claims that it applies only to non-empty terms. We nd it recently endorsed in, e.g., the Stanford Encyclopedia article on ‘Aristotle’s Logic’: \[According to Aristotle] we can get ‘Some monsters are chimeras’ from the apparently true ‘All chimeras are monsters’; but the
[PDF File]Aristotle's Syllogistic and Core Logic
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Aristotle’s Syllogistic and Core Logic 3 (3) The conversion No F is G; so, No G is F. (4) The conversion Every F is G; so, Some G is F. (5) The classical rule of reductio ad impossibile:A deduction of P from Q (the contra- dictory of Q), along with a deduction of P, entitles one to form a deduction of Q
[PDF File]Aristotle and the Foundation of Logic - UH
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Aristotle’s ideas about logic were dominant until the late nineteenth century and even though in modern times Aristotle’s ideas about logic are deemed inadequate, modern logicians treat Aristotle’s logical ideas with respect. Aristotle’s work with logic is collected in six …
[PDF File]The Categories, Aristotle's Logic, and his Theory of Knowledge
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The Categories, Aristotle’s Logic, and Aristotle’s Theory of Knowledge 1. In many ways, Aristotle can be viewed as positing answers to questions that Socrates raised but did not answer himself. a. (In some cases, Plato appears to have answered them in his teaching at the Academy, but Aristotle sometimes does not accept these answers,
[PDF File]Aristotle, Boole, and Categories - Stanford University
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Aristotle, Boole, and Categories Vaughan Pratt October 12, 2015 Abstract We propose new axiomatizations of the 24 assertoric syllogisms of Aris-totle’s syllogistic, and the 22n n-ary operations of Boole’s algebraic logic. The former organizes the syllogisms as a 6 4 table partitioned into
[PDF File]Aristotle’s Logic - University of Washington
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Aristotle’s logic compared to contemporary logic To one trained in post-Fregean first-order logic (quantification theory), Aristotle’s syllogistic may seem a narrow, barren, and stultifying theory. But this is not so. To think this would be to wrongly blame Aristotle for the authority his teachings subsequently had bestowed upon them.
[PDF File]The Beginnings of Formal Logic: Deduction in Aristotle’s ...
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formal logic – deduction – syllogismos – premiss – Prior Analytics – Topics 1 Introduction It is widely agreed that Aristotle’s Prior Analytics marks the beginning of formal logic.1 Aristotle’s main concern in this treatise is with deductions (syllogismoi). Deductions also play an important role in the Topics, which was written before
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