Skip to main content
SpringerLink
Log in

A Modal Sortal Logic

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

Abstract

An intensional semantic system for languages containing, in their logical syntax, sortal quantifiers, sortal identities, (second-order) quantifiers over sortals and the necessity operator is constructed. This semantics provides non-standard assignments to predicate expressions, which diverge in kind from the entities assigned to sortal terms by the same semantic system. The nature of the entities assigned to predicate expressions shows, at the same time, that there is an internal semantic connection between those expressions and sortal terms. A formal logical system is formulated that is proved to be absolutely consistent, sound and complete with respect to the intensional semantic system.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Church, A. (1958) Introduction to Mathematical Logic, Princeton University Press, Princeton, NJ.

    Google Scholar 

  • Cocchiarella, N. B. (1977) Sortals, natural kinds and re-identification, Logique et Analyse 80, 439-474.

    Google Scholar 

  • Cocchiarella, N. B. (1984) Philosophical perspectives on quantification in tense and modal logic, in D. Gabbay and F. Guenthner (eds.), Handbook of Philosophical Logic, Vol. II, D. Reidel Publishing Co., Dordrecht, pp. 309-355.

    Google Scholar 

  • Cocchiarella, N. B. (1986) Logical Investigations of Predication Theory and the Problems of Universals, Bibliopolis Press, Naples.

    Google Scholar 

  • Cocchiarella, N. B. (1998) Reference in conceptual realism, Synthese 114, 169-202.

    Google Scholar 

  • Deutsch, H. (2002) Relative identity, Stanford Enclyclopedia of Philosophy.

  • Freund, M. (2000) A complete and consistent formal system for sortals, Studia Logica 65(3), 367-381.

    Google Scholar 

  • Freund, M. (2001) A temporal logic for sortals, Studia Logica 69(3), 351-380.

    Google Scholar 

  • Gallois, A. (1998) Occasions of Identity: A Study in the Metaphysics of Persistence, Change and Sameness, Clarendon Press, Oxford.

    Google Scholar 

  • Geach, P. (1980) Reference and Generality, Cornell Univ. Press, Ithaca.

    Google Scholar 

  • Gupta, A. (1980) Logic of Common Nouns, Yale Univ. Press, New Haven and London.

    Google Scholar 

  • Lovibond, S. and Williams, S. G. (1996) Identity, Truth and Value: Essays fro David Wiggins, Aristotelian Society Series, Vol. 16, Blackwell, Oxford.

    Google Scholar 

  • McGinn, C. (2000) Logical Properties, Blackwell, Oxford.

    Google Scholar 

  • Noonan, H. (1999) Relative identity, in B. Hale and C. Wright (eds.), A Companion to the Philosophy of Language, Blackwell, Oxford.

    Google Scholar 

  • Stevenson, L. (1972) Relative identity and leibniz' law, Philos. Quaterly 22, 155-158.

    Google Scholar 

  • Vlach, F. (1983) Review of the logic of common nouns, J. Symbolic Logic 58(2), 500-501.

    Google Scholar 

  • Wiggins, D. (2001) Sameness and Substance Renewed, Harvard Univ. Press, Cambridge, MA.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Departamento de Filosofía, Universidad Nacional Apdo, 86-3000, Heredia, Costa Rica

    Max A. Freund

Authors
  1. Max A. Freund
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Freund, M.A. A Modal Sortal Logic. Journal of Philosophical Logic 33, 237–260 (2004). https://doi.org/10.1023/B:LOGI.0000031381.56344.a9

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:LOGI.0000031381.56344.a9

Search

Navigation