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Models for modal syllogisms
Notre Dame Journal of Formal Logic 30 (2):271-284 (1989)
Abstract
A semantics is presented for Storrs McCall's separate axiomatizations of Aristotle's accepted and rejected polysyllogisms. The polysyllogisms under discussion are made up of either assertoric or apodeictic propositions. The semantics is given by associating a property with a pair of sets: one set consists of things having the property essentially and the other of things having it accidentally. A completeness proof and a semantic decision procedure are given.Author's Profile
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Citations of this work
A reconstruction of Aristotle's modal syllogistic.Marko Malink - 2006 - History and Philosophy of Logic 27 (2):95-141.
Relational models for the modal syllogistic.S. K. Thomason - 1997 - Journal of Philosophical Logic 26 (2):129-141.
Alexander of Aphrodisias and the Heterodox dictum de omni et de nullo.Luca Gili - 2015 - History and Philosophy of Logic 36 (2):114-128.
Polarity and Inseparability: The Foundation of the Apodictic Portion of Aristotle's Modal Logic.Dwayne Raymond - 2010 - History and Philosophy of Logic 31 (3):193-218.
A simple semantics for Aristotelian apodeictic syllogistics.Sara L. Uckelman & Spencer Johnston - 2010 - Advances in Modal Logic 8:454-469.
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