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Three-membered domains for aristotle's syllogistic

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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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I am grateful to T. J. Smiley and an anonymous referee for comments that improved this paper.

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Johnson, F. Three-membered domains for aristotle's syllogistic. Stud Logica 50, 181–187 (1991). https://doi.org/10.1007/BF00370181

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  • DOI: https://doi.org/10.1007/BF00370181

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