Studia Logica

, Volume 65, Issue 3, pp 367–381 | Cite as

A Complete and Consistent Formal System for Sortals

  • Max A. Freund

Abstract

A formal logical system for sortal quantifiers, sortal identity and (second order) quantification over sortal concepts is formulated. The absolute consistency of the system is proved. A completeness proof for the system is also constructed. This proof is relative to a concept of logical validity provided by a semantics, which assumes as its philosophical background an approach to sortals from a modern form of conceptualism.

sortal logic conceptualism semantics for sortals 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Church, A., 1958, Introduction to Mathematical Logic, Princeton University Press, Princeton, N.J.Google Scholar
  2. Cocchiarella, N.B., 1977, ‘Sortals, natural kinds and re-identification’, Logique et Analyse 80, 439–474.Google Scholar
  3. Cocchiarella, N.B., 1986, Logical Investigations of Predication Theory and the Problems of Universals, Bibliopolis Press, Naples.Google Scholar
  4. Cocchiarella, N.B., 1995, ‘Knowledge representation in conceptual realism’, Int. J. Human-Computer Sciences 43, 697–721.Google Scholar
  5. Cocchiarella, N.B., 1998, ‘Reference in Conceptual Realism’, Synthese 114, 169–202.Google Scholar
  6. Geach, P., 1980, Reference and Generality, Cornell U. Press, Ithaca.Google Scholar
  7. Strawson, P.F., 1965, Individuals, Metheuen, London.Google Scholar
  8. Wiggins, D., 1980, Sameness and Substance, Harvard University Press, Cambridge, MA.Google Scholar

Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • Max A. Freund
    • 1
  1. 1.Departamento de FilosofiaHerediaCosta Rica

Personalised recommendations