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Studia Logica

, Volume 50, Issue 2, pp 181–187 | Cite as

Three-membered domains for aristotle's syllogistic

  • Fred Johnson
Article

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.

Keywords

Mathematical Logic Computational Linguistic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Polish Academy of Sciences 1991

Authors and Affiliations

  • Fred Johnson
    • 1
  1. 1.Philosophy DepartmentColorado State UniversityFort CollinsUSA

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