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Studia Logica

, Volume 54, Issue 3, pp 391–410 | Cite as

A complete minimal logic of the propositional contents of thought

  • Marek Nowak
  • Daniel Vanderveken
Article

Abstract

Our purpose is to formulate a complete logic of propositions that takes into account the fact that propositions are both senses provided with truth values and contents of conceptual thoughts. In our formalization, propositions are more complex entities than simple functions from possible worlds into truth values. They have a structure of constituents (a content) in addition to truth conditions. The formalization is adequate for the purposes of the logic of speech acts. It imposes a stronger criterion of propositional identity than strict equivalence. Two propositions P and Q are identical if and only if, for any illocutionary force F, it is not possible to perform with success a speech act of the form F(P) without also performing with success a speech act of the form F(Q). Unlike hyperintensional logic, our logic of propositions is compatible with the classical Boolean laws of propositional identity such as the symmetry and the associativity of conjunction and the reduction of double negation.

Keywords

Mathematical Logic Truth Condition Simple Function Computational Linguistic Propositional Content 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Austin, J. L., 1956,How to do things with words, Oxford:Clarendon Press.Google Scholar
  2. Cresswell, M. J., 1975, ‘Hyperintensional logic’,Studia Logica 34, 25–38.Google Scholar
  3. Fine, K., 1986, ‘Analytic implication’,Notre Dame Journal of Formal Logic, Volume 27, 2.Google Scholar
  4. Kaplan, D., 1970, ‘On the logic of demonstratives’,Journal of philosophical logic 8, 81–98.Google Scholar
  5. Kripke, S., 1963, ‘Semantical considerations on modal logic’,Acta Philosophica Fennica, 16.Google Scholar
  6. Lewis, C. I., 1918,A Survey of Symbolic Logic Berkeley and Los Angeles, University of California Press.Google Scholar
  7. Montague, R., 1974,Formal Philosophy, Yale University Press.Google Scholar
  8. Parry, W. T., 1933, ‘Ein Axiomsystem fur eine neue Art von Implikation (analytische Implikation)’,Ergebnisse eines Mathematisches Colloquimus, 4.Google Scholar
  9. Searle, J., 1983,Intensionality, Cambridge University Press.Google Scholar
  10. Searle, J. andD. Vanderveken, 1985,Foundations of illocutionary logic, Cambridge University Press.Google Scholar
  11. Vanderveken, D., 1990–91,Meaning and speech acts, Cambridge University Press,vols I and II. Google Scholar
  12. Vanderveken, D., 1991, ‘What Is a Proposition?’,Cahiers d'epistemologie, Universite du Quebec a Montreal, no 9103.Google Scholar
  13. Vanderveken, D., 1994, ‘A new formulation of the logic of propositions’, forthcoming in M. Marion and R. Cohen,Logic and Philosophy of Science in Quebec, inthe Boston Studies in Philosophy of Science, Kluwer.Google Scholar
  14. Wójcicki, R., 1984,Lectures on Propositional Calculi, Ossolineum.Google Scholar

Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • Marek Nowak
    • 1
  • Daniel Vanderveken
    • 2
  1. 1.University of ŁódźPoland
  2. 2.Université du QuébecCanada

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