Journal of Philosophical Logic

, Volume 26, Issue 5, pp 553–567 | Cite as

Extended Gergonne Syllogisms

  • Fred Johnson
Article

Abstract

Syllogisms with or without negative terms are studied by using Gergonne’s ideas. Soundness, completeness, and decidability results are given.

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REFERENCES

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    Gergonne, J.D., “Essai de dialectique rationnelle”, Annales de Mathématique, Vol. 7 (1816–17), pp. 189–228.Google Scholar
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    Johnson, F., “Three-membered domains for Aristotle's syllogistic”, Studia Logica, Vol. 50 (1991), pp. 181–187.Google Scholar
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    Smiley, T.J., “What is a syllogism?”, Journal of Philosophical Logic, Vol. 2 (1973), pp. 136–154.Google Scholar

Copyright information

© Kluwer Academic Publishers 1997

Authors and Affiliations

  • Fred Johnson
    • 1
  1. 1.Department of PhilosophyColorado State UniversityFort CollinsU.S.A

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