Studia Logica

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

Three-membered domains for aristotle's syllogistic

  • Fred Johnson


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.


Mathematical Logic Computational Linguistic 
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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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