Skip to main content
Log in

Urn models: A classical exposition

  • Published:
Studia Logica Aims and scope Submit manuscript

Abstract

Urn models were developed by Veikko Rantala to provide a non-standard semantics for first-order logic in which the domains, over which the quantifiers range, are allowed to vary. Rantala uses game-theoretical semantics in his presentation, and the present paper is a study of urn models from a more classical, truth-conditional point of view. An axiomatic system for urn logic is set out and completeness is proved by the method of maximal consistent sets.

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. K. J. J. Hintikka, Logic, Language Games and Information, Oxford, Clarendon Press, 1973.

    Google Scholar 

  2. —,Impossible possible worlds vindicated, Journal of Philosophical Logic 4 (1975), pp. 475–484.

    Google Scholar 

  3. G. E. Hughes and M. J. Cresswell, An Introduction to Modal Logic, London, Methuen, 1968.

    Google Scholar 

  4. P. N. Johnson-Laird and M. Steedman, The psychology of syllogisms, Cognitive Psychology 10 (1978), pp. 64–99.

    Google Scholar 

  5. P. Olin, Urn models and categoricity, Journal of Philosophical Logic 7 (1978), pp. 331–345.

    Google Scholar 

  6. V. Rantala, Urn models: A new kind of non-standard models for first-order logic, ibidem 4 (1975) pp. 455–474.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cresswell, M.J. Urn models: A classical exposition. Stud Logica 41, 109–130 (1982). https://doi.org/10.1007/BF00370339

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00370339

Keywords

Navigation