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Three-membered domains for aristotle's syllogistic
Authors:Fred Johnson
Institution:(1) Philosophy Department, Colorado State University, 80523 Fort Collins, Colorado, USA
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.I am grateful to T. J. Smiley and an anonymous referee for comments that improved this paper.
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