Mind 122 (488):953-986 (2013)

Authors
Marko Malink
New York University
Jacob Rosen
University of Pittsburgh
Abstract
In Prior Analytics 1.15 Aristotle undertakes to establish certain modal syllogisms of the form XQM. Although these syllogisms are central to his modal system, the proofs he offers for them are problematic. The precise structure of these proofs is disputed, and it is often thought that they are invalid. We propose an interpretation which resolves the main difficulties with them: the proofs are valid given a small number of intrinsically plausible assumptions, although they are in tension with some claims found elsewhere in Aristotle’s modal syllogistic. The proofs make use of a rule of propositional modal logic which we call the possibility rule. We investigate how this rule interacts and coheres with the core elements of the modal syllogistic.
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DOI 10.1093/mind/fzt095
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References found in this work BETA

Aristotle's Megarian Manoeuvres.Kit Fine - 2011 - Mind 120 (480):993-1034.

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Citations of this work BETA

Reply to Bronstein, Leunissen, and Beere.Marko Malink - 2015 - Philosophy and Phenomenological Research 90 (3):748-762.
Impossibility in the Prior Analytics and Plato's Dialectic.B. Castelnérac - 2015 - History and Philosophy of Logic 36 (4):303-320.

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