Is There a Modal Syllogistic?

Notre Dame Journal of Formal Logic 39 (4):554-572 (1998)
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Abstract

Aristotle's modal syllogistic has been described as "incoherent," "a failure," "a realm of darkness." Even the gentler critics claim that it is inconsistent. I offer an interpretation according to which validity in the modal syllogistic is always obtained by substituting modal terms in the nonmodal syllogistic, and restricting the principles of modal conversion. In this paper I discuss the apodeictic syllogistic, showing that the restrictions I propose are powerful enough to do all the work Aristotle requires and, in fact, are supported by a close analysis of Aristotle's text. The upshot of this is that there is for Aristotle no separate modal syllogistic

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Adriane Rini
Massey University

Citations of this work

Term Kinds and the Formality of Aristotelian Modal Logic.Joshua Mendelsohn - 2017 - History and Philosophy of Logic 38 (2):99-126.
Hupo in the Prior Analytics: a note on Disamis XLL.Adriane A. Rini - 2000 - History and Philosophy of Logic 21 (4):259-264.

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References found in this work

Models for modal syllogisms.Fred Johnson - 1989 - Notre Dame Journal of Formal Logic 30 (2):271-284.
Semantic analysis of the modal syllogistic.S. K. Thomason - 1993 - Journal of Philosophical Logic 22 (2):111 - 128.
Assertoric vs. Modal Syllogistic.Gisela Striker - 1994 - Ancient Philosophy 14 (S1):39-51.
The Aristotelicity of Thomason's Semantics.Adriane A. Rini - 1996 - Logique Et Analyse 39 (155-6):255-270.

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