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Set-theoretic realism and arithmetic

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References

  • Benacerraf, Paul: 1965, ‘What Numbers Could Not Be’, in Philosophy of Mathematics, second edition, P. Benacerraf and H. Putnam (eds.), Cambridge, Cambridge University Press, 1983, pp. 272–294. Originally published in 1965.

    Google Scholar 

  • Benacerraf, Paul: 1973, ‘Mathematical Truth’, in Philosophy of Mathematics, second edition, P. Benacerraf and H. Putnam (eds.), Cambridge, Cambridge University Press, 1983, pp. 403–420. Originally published in 1973.

    Google Scholar 

  • Chihara, Charles: 1982, ‘A Gödelian Thesis Regarding Mathematical Objects: Do They Exist? And Can We Perceive Them?’, Philosophical Review 91 (1982), pp. 211–227.

    Google Scholar 

  • Frege, Gottlob: 1884, Foundations of Arithmetic, J. L. Austin, trans., Evanston, Northwestern University Press, 1980. Originally published in 1884.

    Google Scholar 

  • Frege, Gottlob: 1894, ‘Review of E. G. Husserl, Philosophy of Arithmetic I’, in Collected Papers, B. McGuiness (ed.), Oxford, Basil Blackwell, 1984, pp. 195–209. Originally published in 1894.

    Google Scholar 

  • Lewis, David: 1991, Parts of Classes, Oxford, Basil Blackwell, 1991.

    Google Scholar 

  • Maddy, Penelope: 1988, ‘Mathematical Realism’, in Realism and Antirealism, Midwest Studies in Philosophy Volume XII, French, Uehling and Wettstein (eds.), Minneapolis, University of Minnesota Press, 1988, pp. 275–285.

    Google Scholar 

  • Maddy, Penelope: 1990a, ‘Physicalistic Platonism’, in Physicalism in Mathematics, A. D. Irvine (ed.), Dordrecht, Kluwer Academic Publishers, 1990.

    Google Scholar 

  • Maddy, Penelope: 1990b, Mathematical Realism, Oxford, Clarendon Press, 1990.

    Google Scholar 

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Thanks to Marian David for helpful comments on an earlier draft of this paper.

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Kremer, M. Set-theoretic realism and arithmetic. Philosophical Studies 64, 253–271 (1991). https://doi.org/10.1007/BF00365001

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