Proof by Assumption of the Possible in Prior Analytics, 1.15; How Not to Blend Modal Frameworks

History and Philosophy of Logic 41 (3):203-216 (2020)
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Abstract

The present paper aims to show that the reconstruction of the formal framework of the proofs in Pr. An. 1.15, as proposed by Malink and Rosen 2013 (‘Proof by Assumption of the Possible in Prior Analytics 1.15’, Mind, 122, 953-85) is due to affront a double impasse. Malink and Rosen argue convincingly that Aristotle operates with two different modal frameworks, one as found in the system of modal logic presented in Prior Analytics 1.3 and 8-22, and one occurring in many of Aristotle’s works, such as the Physics, De Caelo and the Metaphysics. However, they misconstrue the latter framework. More precisely, they misconstrue the domain of significance of what they call the ‘Principle of Necessitation’. As a consequence, bringing the two frameworks into one results into a contradictory modal logic. On the other hand, if the Principle of Necessitation is rectified, the proofs put forward by Malink and Rosen in the same paper are no longer available.

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Aristotle's Proofs Through the Impossible in Prior Analytics 1.15.Riccardo Zanichelli - 2023 - History and Philosophy of Logic 44 (4):395-421.

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References found in this work

Aristotle's Modal Syllogistic.Marko Malink - 2013 - Cambridge, MA and London: Harvard University Press.
Aristotle's Prior and Posterior Analytics.W. D. Ross - 1949 - Philosophy 25 (95):380-382.
Aristotle's Prior and Posterior Analytics.W. D. Ross - 1953 - British Journal for the Philosophy of Science 3 (12):374-375.
A New Introduction to Modal Logic.G. E. Hughes - 1996 - New York: Psychology Press. Edited by M. J. Cresswell.
Time and Necessity: Studies in Aristotle’s Theory of Modality.Jaakko Hintikka - 1973 - Revue Philosophique de la France Et de l'Etranger 166 (2):227-227.

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