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Philosophical Perspectives on Quantification in Tense and Modal Logic

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Handbook of Philosophical Logic

Part of the book series: Handbook of Philosophical Logic ((HALO,volume 7))

Abstract

The trouble with modal logic, according to its critics, is quantification into modal contexts—i.e. de re modality. For on the basis of such quantification, it is claimed, essentialism ensues, and perhaps a bloated universe of possibilia as well. The essentialism is avoidable, these critics will agree, but only by turning to a Platonic realm of individual concepts whose existence is no less dubious or problematic than mere possibilia. Moreover, basing one’s semantics on individual concepts, it is claimed, would in effect render all identity statements containing only proper names either necessarily true or necessarily false i.e. there would then be no contingent identity statements containing only proper names.

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Bibliography

  1. J. Bacon. Substance and first-order quantification over individual concepts. J. Symbolic Logic, 45, 193–203, 1980.

    Article  Google Scholar 

  2. E. W. Beth. Extension and Intension. Synthese, 12, 375–379, 1960.

    Article  Google Scholar 

  3. On the eliminability of de re modalities in some systems. Notre Dame J. Formal Logic, 17, 79–88, 1976.

    Google Scholar 

  4. R. Carnap. Foundations of logic and mathematics. In International Encyclopedia of Unified Science, Vol. 1, Univ. Chicago Press, 1938.

    Google Scholar 

  5. R. Carnap. Modalities and quantification. J. Symbolic Logic, 11, 33–64, 1946.

    Article  Google Scholar 

  6. R. Carnap. Meaning and Necessity. Univ Chicago Press, 1947.

    Google Scholar 

  7. R. Carnap. Notes on Semantics. Published posthumously in Philosophia(Phil.Quant. Israel), 2, 1–54 (1972).

    Google Scholar 

  8. R. Carnap. Introduction to Symbolic Logic and its Applications. Dover Press, 1958.

    Google Scholar 

  9. N. B. Cocchiarella. Logical atomism, nominalism, and modal logic. Synthese, 3, 23–62, 1975.

    Article  Google Scholar 

  10. N. B. Cocchiarella. On the primary and secondary semantics of logical necessity. Journal of Philosophical Logic, 4, 13–27, 1975.

    Article  Google Scholar 

  11. K. Fine. Failures of the interpolation lemma in quantified modal lgoic. J. Symbolic Lo_gic, 44, 201–206, 1979.

    Article  Google Scholar 

  12. P. Geach. Reference and Generality, Cornell Univ. Press, 1962.

    Google Scholar 

  13. A. Gibbard. Contingent identity. J. Philosophical Logic, 4, 187–221, 1975.

    Article  Google Scholar 

  14. J. Hintikka. Identity, variables and inpredicative definitions. J. Symbolic Logic, 21, 225–245, 1956.

    Article  Google Scholar 

  15. J. Hintikka. Models for Modalities, Reidel, Dordrecht, 1969.

    Google Scholar 

  16. J. Hintikka. Time and Necessity, Oxford University Press, 1973.

    Google Scholar 

  17. J. Hintikka. Is alethic modal logic possible? Acta Phil. Fennica, 35, 227–273, 1982.

    Google Scholar 

  18. J. A. W. Kamp. Formal properties of ‘Now’. Theoria, 37, 227–273. 1971.

    Article  Google Scholar 

  19. J. A. W. Kamp. Two related theorems by D. Scott and S. Kripke. Xeroxed, London, 1977.

    Google Scholar 

  20. S. Kanger. Provability in Logic, Univ. of Stockholm, 1957.

    Google Scholar 

  21. S. Kripke. A completeness theorem in modal logic. J. Symbolic Logic, 24, 1–14, 1959.

    Article  Google Scholar 

  22. S. Kripke. The undecidability of monadic modal quantification theory. Zeitsch f. Math. Logic und Grundlagen d. Math, 8, 113–116, 1962.

    Article  Google Scholar 

  23. S. Kripke. Sematnical considerations on modal logic, Acta Philosophica Fennica, 16, 83–94, 1963.

    Google Scholar 

  24. S. Kripke. Identity and necessity. In M. Munitz, ed. Identity and Individuation, New York University Press, 1971.

    Google Scholar 

  25. S. Kripke. Letter to David Kaplan and Richmond Thomason. March 12, 1976.

    Google Scholar 

  26. J. Lyons. Semantics, Cambridge Univ. Press, 1977.

    Book  Google Scholar 

  27. T. McKay. Essentialism in quantified modal logic. J. Philosophical Logic, zbf 4, 423–438, 1975.

    Article  Google Scholar 

  28. R. M. Montague. Logical necessity, physical necessity, ethics and quantifiers. Inquiry, 4, 259–269, 1960. Reprinted in R. Thomason, ed. Formal Philosophy, Yale Univ. Press, 1974.

    Article  Google Scholar 

  29. Z. Parks. Investigations into quantified modal logic — I. Studia Lgoica, 35, 109–125, 1976.

    Article  Google Scholar 

  30. T. Parsons. Essentialism and quantified modal logic. Philosophical Review, 78, 35–52, 1969.

    Article  Google Scholar 

  31. A. N. Prior. Past, Present and Future, Oxford Univ. Press, 1967.

    Book  Google Scholar 

  32. H. Putnam. Time and physical geometry. J. Philosophy, 64, 240–247, 1967. Reprinted in Mathematics, Matter and Method, Phil. Papers, Vol. 1, Cambridge Univ. Press, 1975.

    Google Scholar 

  33. F. P. Ramsey. In R. B. Braithwaite, ed. The Foundation of Mathematics, Littlefield, Adams, Paterson, 1960.

    Google Scholar 

  34. E. Saarinen. Backwards-looking operators in tense logic and in natural language. In J. Hintikka et al., eds. Essays on Mathematical Logic, D. Reidel, Dordrecht, 1976.

    Google Scholar 

  35. W. Sellars. Grammar and existence: a preface to ontology. In Science, Perception and Reality, Routledge and Kegan Paul, London, 1963.

    Google Scholar 

  36. A. Smullyan. Modality and description. J. Symbolic Logic, 13, 31–37, 1948.

    Article  Google Scholar 

  37. R. Thomason. Modal logic and metaphysics. In K. Lambert, ed. The Logical Way of Doing Things, Yale Univ. Press, 1969.

    Google Scholar 

  38. F. Vlach. ‘Now’ and ‘then’: a formal study in the logic of tense anaphora. PhD Dissertation, UCLA, 1973.

    Google Scholar 

  39. G. H. von Wright. An Essay in Modal Logic, North-Holland, Amsterdam, 1951.

    Google Scholar 

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Cocchiarella, N.B. (2002). Philosophical Perspectives on Quantification in Tense and Modal Logic. In: Gabbay, D.M., Guenthner, F. (eds) Handbook of Philosophical Logic. Handbook of Philosophical Logic, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0462-5_4

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  • DOI: https://doi.org/10.1007/978-94-017-0462-5_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6011-2

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