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A fictionalist account of the indispensable applications of mathematics

Philosophical Studies volume 83, pages 291–314 (1996)Cite this article

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References

  • Balaguer, M. (1994) “Against (Maddian) Naturalized Platonism”, Philosophia Mathematica 2, 97–108.

    Google Scholar 

  • Balaguer, M. (1995) “A Platonist Epistemology”, Synthese 103, 303–325.

    Google Scholar 

  • Balaguer, M. (1996) “Towards a Nominalization of Quantum Mechanics”, Mind 105.

  • Benacerraf, P. (1973) “Mathematical Truth”, Journal of Philosophy 70, 661–679.

    Google Scholar 

  • Field, H. (1980) Science without Numbers, Princeton: Princeton University Press.

    Google Scholar 

  • Hellman, G. (1989) Mathematics without Foundations, Oxford: Clarendon Press.

    Google Scholar 

  • Horgan, T. (1984) “Science Nominalized”, Philosophy of Science 51, 529–549.

    Google Scholar 

  • Kitcher, P. (1984) The Nature of Mathematical Knowledge, Oxford: Oxford University Press.

    Google Scholar 

  • Krantz, D., Luce, R. D., Suppes, P., Tversky, A. (1971) Foundations of Measurement, New York: Academic Press.

    Google Scholar 

  • Maddy, P. (1990) Realism in Mathematics, Oxford: Clarendon Press.

    Google Scholar 

  • Malament, D. (1982) Untitled book review of Field's Science without Numbers. Journal of Philosophy 79, 523–534.

    Google Scholar 

  • Putnam, H. (1971) The Philosophy of Logic. Reprinted in Mathematics Matter and Method, Cambridge: Cambridge University Press (1975, 323–357).

    Google Scholar 

  • Quine, W. V. (1951) “Two Dogmas of Empiricism”. Reprinted in From a Logical Point of View, New York: Harper and Row (1961, 20–46).

    Google Scholar 

  • Shapiro, S. (1983) “Mathematics and Reality”, Philosophy of Science 50, 523–548.

    Google Scholar 

  • Steiner, M. (1989) “The Application of Mathematics to Natural Science”, Journal of Philosophy 86, 449–480.

    Google Scholar 

  • Wigner, E. (1960) “The Unreasonable Effectiveness of Mathematics in the Natural Sciences”, Communications on Pure and Applied Mathematics 13, 1–14.

    Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Philosophy, California State University, Los Angeles, 90032, Los Angeles, CA, USA

    Mark Balaguer

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  1. Mark Balaguer
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Additional information

I would like to thank Jeffrey Barrett, Seth Crook, Stuart Cornwell, Hartry Field, Bob Hanna, David MacCallum, Penelope Maddy, Henry Mendell, Michael Resnik, Adam Vinueza, and Peter Woodruff for commenting on earlier versions of this paper.

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Balaguer, M. A fictionalist account of the indispensable applications of mathematics. Philosophical Studies 83, 291–314 (1996). https://doi.org/10.1007/BF00364610

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  • DOI: https://doi.org/10.1007/BF00364610

Keywords

  • Fictionalist Account