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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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MathSciNet review: 1568157
Full text of review: PDF   This review is available free of charge.
Book Information:

Author: Penelope Maddy
Title: Realism in mathematics
Additional book information: Oxford University Press, London, 1993, ix + 204 pp., US$19.95. ISBN 0-19-824035-X.

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Bibliography

    J. A. Anderson and E. Rosenfeld, Neurocomputing, MIT Press, Cambridge, 1988. J. A. Anderson, A. Pellionisz, and E. Rosenfeld, Neurocomputing 2, MIT Press, Cambridge, 1990.
  • V. I. Arnol′d, Geometrical methods in the theory of ordinary differential equations, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 250, Springer-Verlag, New York-Berlin, 1983. Translated from the Russian by Joseph Szücs; Translation edited by Mark Levi. MR 695786
  • P. Benecerraf, What numbers could not be, reprinted in Philosophy of Mathematics, 2nd ed. (Benecerraf and Putnam, eds.), Cambridge Univ. Press, London, 1983. J. S. Bruner, On knowing, Harvard Univ. Press, New York, 1966. A. S. Eddington, The philosophy of physical science, Cambridge Univ. Press, London, 1939. A. Einstein, Letter to Prussian Academy of Sciences, 1921, Ideas and Opinions, Crown Press, New York, 1954. S. Feferman, Why a little bit goes a long way: Logical foundations of scientifically applicable mathematics, Philosophy of Science 2 (1993), 442-455. C. Hermite, Letter to Stieltjes, quoted in R. Thom, Structural Stability and Morphogenesis, W. A. Benjamin, Reading, MA, 1975. T. Hobbes, Letter to Wallis, 1655, quoted by F. Cajori, Amer. Math. Monthly 22 (1915), 45. P. Maddy, Indispensability and practice, The Journal of Philosophy 89 (1992), 275-289.
  • Warren S. McCulloch, Embodiments of mind, MIT Press, Cambridge, MA, 1988. With a foreword by Jerome Lettvin; With an introduction by Seymour Papert. MR 946795
  • H. Putnam, Mathematics without foundations, reprinted in H. Putnam, Mathematics, Matter and Method, 2nd ed., Cambridge Univ. Press, London, 1979. S. G. Shanker, Wittgenstein's remarks on the significance of Gödel's theorem, Gödel's Theorem in Focus (S. G. Shanker, ed.), Routledge, London, 1979.

Review Information:

Reviewer: Morris W. Hirsch
Journal: Bull. Amer. Math. Soc. 32 (1995), 137-148
DOI: https://doi.org/10.1090/S0273-0979-1995-00552-5