Skip to main content
Log in

Extended Gergonne Syllogisms

  • Published:
Journal of Philosophical Logic Aims and scope Submit manuscript

Abstract

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

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. Faris, J.A., “The Gergonne relations”, The Journal of Symbolic Logic, Vol. 20 (1955), pp. 207–231.

    Google Scholar 

  2. Gergonne, J.D., “Essai de dialectique rationnelle”, Annales de Mathématique, Vol. 7 (1816–17), pp. 189–228.

    Google Scholar 

  3. Johnson, F., “Three-membered domains for Aristotle's syllogistic”, Studia Logica, Vol. 50 (1991), pp. 181–187.

    Google Scholar 

  4. Łukasiewicz, J., Aristotle's Syllogistic, 2nd ed., Clarendon Press, Oxford, 1957.

    Google Scholar 

  5. Smiley, T.J., “What is a syllogism?”, Journal of Philosophical Logic, Vol. 2 (1973), pp. 136–154.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Johnson, F. Extended Gergonne Syllogisms. Journal of Philosophical Logic 26, 553–567 (1997). https://doi.org/10.1023/A:1004225124213

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1004225124213

Keywords

Navigation