Abstract
In the first two sections I present and motivate a formal semantics program that is modeled after the application of numbers in measurement (e.g., of length). Then, in the main part of the paper, I use the suggested framework to give an account of the semantics of necessity and possibility: (i) I show thatthe measurement theoretic framework is consistent with a robust (non-Quinean) view of modal logic, (ii) I give an account of the semantics of the modal notions within this framework, and (iii) I defend the suggested account against various objections.
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REFERENCES
Bell, J. L. and W. Demopoulos: 1996, ‘Elementary Propositions and Independence’, Notre Dame Journal of Symbolic Logic 37, 112–124.
Birkhoff, G. and S. Mac Lane: 1977, A Survey of Modern Algebra, Macmillan, New York, NY.
Brandom, R.: 1994, Making it Explicit, Harvard University Press, Cambridge, MA.
Davidson, D.: 1984, Inquiries into Truth and Interpretation, Clarendon, Oxford.
Davidson, D.: 1984a, ‘Reality without Reference’, in D. Davidson (ed.), Inquiries into Truth and Interpretation, Clarendon, Oxford, pp. 215–225.
Davidson, D.: 1984b, ‘Truth and Meaning’, in D. Davidson (ed.), Inquiries into Truth and Interpretation, Clarendon, Oxford, pp. 17–36.
Davidson, D.: 1996, ‘The Folly of Trying to Define Truth’, The Journal of Philosophy 113, 263–278.
Dresner, E.: 1998. Formal Semantics and the Algebraic View of Meaning, Doctoral dissertation, University of California at Berkeley, CA.
Dresner, E.: 1999. ‘Boolean Algebra and Natural Language: A Measurement theoretic Approach’, Nordic Journal of Philosophical Logic 2, 175–189.
Dresner, E.: forthcoming1, ‘Wittgenstein's Builder's and Perry's Objection to Sentence Priority’, Dialectica.
Dresner, E.: forthcoming2, ‘Tarski's Restricted Form and Neale's Quantificational Treatment of Proper Names’, Linguistics and Philosophy.
Fara, R.: 1994, In Conversation: W. V. Quine, a Philosophy International production, Center for the Philosophy of the Natural and Social Sciences, London School of Economics, 1994. (This is a video recording.)
Givant, S. and R. MacKenzie: 1986, Alfred Tarski, Collected Papers, Basel.
Henkin, L.: 1973, ‘Internal Semantics and Algebraic Logic’, in H. Leblanc (ed.), Truth, Syntax and Modality, North-Holland, Amsterdam.
Henkin, L., D. Monk, and A. Tarski: 1971 (1984), Cylindric Algebras Part I (Part II), North-Holland, Amsterdam.
Hughes, G. and M. Cresswell: 1968, An Introduction to Modal Logic, Methuen, London.
Jonsson, B. and A. Tarski: 1951, ‘Boolean Algebras with Operators, Part I’, Amer. J. Math. 73, 891–939.
Kaplan, D.: 1979, ‘Transworld Heirlines’, in M. Loux (ed.): 1979, The Possible and the Actual, Readings in the Metaphysics of Modality, Cornell University Press, Ithaca, pp. 88–109.
Krantz, D., D. Luce, P. Suppes, and A. Tversky: 1971–1989, Foundations of Measurement, Vols. 1–3, Academic Press, New York.
Leblanc, H. (ed.): 1973, Truth, Syntax and Modality, North-Holland, Amsterdam.
Lewis, D.: 1979, ‘Possible Worlds’, in M. Loux (ed.), The Possible and the Actual, Readings in the Metaphysics of Modality, Cornell University Press, Ithaca, pp. 182–189.
Loux, M. (ed.): 1979, The Possible and the Actual, Readings in the Metaphysics of Modality, Cornell University Press, Ithaca.
Monk, D. and R. Bonnet (eds): 1989, Handbook of Boolean Algebras, North-Holland, Amsterdam.
Quine, W. V.: 1943, ‘Notes on Existence and Necessity’, Journal of Philosophy XL, 113–127.
Quine, W. V.: 1953, From a Logical Point of View, Harvard University Press, Cambridge, MA.
Quine, W. V.: 1953a, ‘Two Dogmas of Empiricism’, in W. V. Quine (ed.), From a Logical Point of View, Harvard University Press, Cambridge, MA.
Quine, W. V.: 1960, Word and Object, MIT Press, Cambridge, MA.
Quine, W. V.: 1970, Philosophy of Logic, Prentice Hall, Englewood Cliffs, NJ.
Quine, W. V.: 1976, The Ways of Paradox and Other Essays, Harvard University Press, Cambridge, MA.
Quine, W. V.: 1976a, ‘Three Grades of Modal Involvement’. in W. V. Quine (ed.), The Ways of Paradox and Other Essays, Harvard University Press, Cambridge, MA.
Quine, W. V.: 1990, Pursuit of Truth, Harvard University Press, Cambridge, MA.
Quine, W. V.: 1996, ‘Progress on Two Fronts’, The Journal of Philosophy 93, 159–163.
Tarski, A.: 1986, ‘A Simplified Formalization of Predicate Logic with Identity’, in S. Givant and R. MacKenzie (eds), Alfred Tarski, Collected Papers, Basel, pp. 253–271.
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Dresner, E. Measurement Theoretic Semantics And The Semantics Of Necessity. Synthese 130, 413–440 (2002). https://doi.org/10.1023/A:1014815703989
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DOI: https://doi.org/10.1023/A:1014815703989