Three-membered domains for Aristotle's syllogistic

Studia Logica 50 (2):181 - 187 (1991)
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Abstract

The paper shows that for any invalid polysyllogism there is a procedure for constructing a model with a domain with exactly three members and an interpretation that assigns non-empty, non-universal subsets of the domain to terms such that the model invalidates the polysyllogism.

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10.1007/bf00370181

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Frederick Johnson
Colorado State University

Citations of this work

Syllogisms with fractional quantifiers.Fred Johnson - 1994 - Journal of Philosophical Logic 23 (4):401 - 422.
Modal Ecthesis.Fred Johnson - 1993 - History and Philosophy of Logic 14 (2):171-182.
On Minimal Models for Pure Calculi of Names.Piotr Kulicki - 2013 - Logic and Logical Philosophy 22 (4):429–443.
Apodeictic syllogisms: Deductions and decision procedures.Fred Johnson - 1995 - History and Philosophy of Logic 16 (1):1-18.
Extended Gergonne Syllogisms.Fred Johnson - 1997 - Journal of Philosophical Logic 26 (5):553-567.

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