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A modal view of the semantics of theoretical sentences

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Abstract

Modal logic has been applied in many different areas, as reasoning about time, knowledge and belief, necessity and possibility, to mention only some examples. In the present paper, an attempt is made to use modal logic to account for the semantics of theoretical sentences in scientific language. Theoretical sentences have been studied extensively since the work of Ramsey and Carnap. The present attempt at a modal analysis is motivated by there being several intended interpretations of the theoretical terms once these terms are introduced through the axioms of a theory.

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References

  • Andreas H. (2007) Carnaps Wissenschaftslogik. Paderborn, mentis

    Google Scholar 

  • Andreas H. (2008) Another solution to the problem of theoretical terms. Erkenntnis 69: 315–333

    Article  Google Scholar 

  • Blackburn P., van Benthem J. (2007) Modal logic: A semantic perspective. In: Blackburn P., Benthem J., Wolter F. (eds) Handbook of modal logic. Elsevier, Amsterdam, pp 1–87

    Chapter  Google Scholar 

  • Braithwaite R.B. (1955) Scientific explanation. Cambridge University Press, Cambridge

    Google Scholar 

  • Braüner T., Ghilardi S. (2007) First order modal logic. In: Blackburn P., Benthem J., Wolter F. (eds) Handbook of modal logic. Elsevier, Amsterdam, pp 549–620

    Chapter  Google Scholar 

  • Carnap R. (1937) The logical syntax of language. Routledge, London

    Google Scholar 

  • Carnap R. (1939) Foundations of logic and mathematics. University of Chicago Press, Chicago

    Google Scholar 

  • Carnap R. (1956) The methodological character of theoretical concept. In: Feigel H., Scriven M. (eds) Minnesota studies in the philosophy of science I. University of Minnesota Press, Minneapolis, pp 38–76

    Google Scholar 

  • Carnap R. (1958) Beobachtungssprache und theoretische Sprache. Dialectica 12: 236–248

    Article  Google Scholar 

  • Carnap R. (1973) Introduction to symbolic logic and its applications. Dover Publications, New York

    Google Scholar 

  • Carnap R. (1975) Observational language and theoretical language. In: Hintikka J. (eds) Rudolf Carnap. Logical empiricist. D. Reidel Publishing Company, Dordrecht, pp 75–86

    Google Scholar 

  • Da Costa N.C.A., French S. (1990) The model-theoretic approach in the philosophy of science. Philosophy of Science 57(2): 248–265

    Article  Google Scholar 

  • Dummett M. (1991) The logical basis of metaphysics. Harvard University Press, Cambridge, MA

    Google Scholar 

  • Etchemendy J. (1999) The concept of logical consequence. CSLI Publications, Stanford

    Google Scholar 

  • Feyerabend P.K. (1962) Explanation, reduction, and empiricism. In: Feigl H., Maxwell G. (eds) Scientific explanation, space, and time, Vol. 3 of Minnesota studies in the philosophy of science. University of Minnesota Press, Minneapolis, pp 28–97

    Google Scholar 

  • Ketland J. (2004) Empirical adequacy and ramsification. British Journal for Philosophy of Science 55: 287–300

    Article  Google Scholar 

  • LeBlanc H. (1976) Truth-value semantics. North Holland Publishing Company, Amsterdam

    Google Scholar 

  • Lewis D. (1970) How to define theoretical terms. Journal of Philosophy 67: 427–446

    Article  Google Scholar 

  • Mikenberg I., Da Costa N.C.A., Chuaqui R. (1986) Pragmatic truth and approximation to truth. Journal of Symbolic Logic 51(1): 201–221

    Article  Google Scholar 

  • Priest G. (2001) An introduction to non-classical logic. Cambridge University Press, Cambridge

    Google Scholar 

  • Quine, W. v. O. (1961). Two dogmas of empiricism. In From a logical point of view (2nd ed., pp. 20–46). Cambridge, MA: Harvard University Press.

  • Quine W.v.O. (1992) Pursuit of truth. Harvard University Press, Cambridge, MA

    Google Scholar 

  • Ramsey F.P. (1950) Theories. In: Braithwaite R.B. (eds) The foundations of mathematics and other logical essays. Humanities Press, New York, pp 212–236

    Google Scholar 

  • Schurz G. (2005) Semantic holism and (non-)compositionality of scientific theories. In: Werning M., Machery E., Schurz G. (eds) The compositionality of meaning and content Vol. I. Ontos-Verlag, Frankfurt, pp 271–284

    Google Scholar 

  • Sneed J. (1979) The logical structure of mathematical physics 2nd. ed. D. Reidel Publishing Company, Dordrecht

    Google Scholar 

  • van Benthem J. (1978) Ramsey eliminability. Studia logica 37: 321–336

    Article  Google Scholar 

  • van Fraassen B. (1969) Presuppositions, supervaluations and free logic. In: Lambert K. (eds) The logical way of doing things. Yale University Press, New Haven, pp 67–92

    Google Scholar 

  • van Fraassen B. (1980) The scientific image. Clarendon Press, Oxford

    Book  Google Scholar 

  • Williamson T. (1994) Vagueness. Routledge, London

    Google Scholar 

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Correspondence to Holger Andreas.

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Andreas, H. A modal view of the semantics of theoretical sentences. Synthese 174, 367–383 (2010). https://doi.org/10.1007/s11229-009-9458-3

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  • DOI: https://doi.org/10.1007/s11229-009-9458-3

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