Modal Ecthesis

History and Philosophy of Logic 14 (2):171-182 (1993)
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Abstract

Fred's semantics for McCall's syntactic presentation of Aristotle's assertoric and apodeictic syllogistic is altered to free it from Thom's objections that it is unAristotelian. The altered semantics rejects Baroco-XLL and Bocardo-LXL, which Thom says Aristotle should have accepted. Aristotle's proofs that use ecthesis are formalized by using singular sentences. With one exception the (acceptance) axioms for McCall's system L-X-M are derivable. Formal proofs are shown to be sound.

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10.1080/01445349308837216

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Frederick Johnson
Colorado State University

Citations of this work

Apodeictic syllogisms: Deductions and decision procedures.Fred Johnson - 1995 - History and Philosophy of Logic 16 (1):1-18.
Aristoteles’ in izahat Yöntemi Hakkindaki Yorumlar.Murat Kelikli - 2014 - Kutadgubilig Felsefe-Bilim Araştırmaları Dergisi 25:115-127.
How to Base Apodeictic Syllogistic on Essentialist Theory.Paul Thom - 1998 - History of Philosophy & Logical Analysis 1 (1):171-185.

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References found in this work

Aristotle's Prior and Posterior Analytics.W. D. Ross - 1949 - Philosophy 25 (95):380-382.
Formal Logic: Its Scope and Limits.Timothy McCarthy - 1967 - Journal of Symbolic Logic 49 (4):1408-1409.
Models for modal syllogisms.Fred Johnson - 1989 - Notre Dame Journal of Formal Logic 30 (2):271-284.
Aristotle's Modal Syllogisms.Ruth Barcan Marcus & Storrs McCall - 1965 - Philosophical Review 74 (4):539.

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