Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

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

Book Review

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Full text of review: PDF
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.

References [Enhancements On Off] (What's this?)

  • [1] J. A. Anderson and E. Rosenfeld, Neurocomputing, MIT Press, Cambridge, 1988.
  • [2] J. A. Anderson, A. Pellionisz, and E. Rosenfeld, Neurocomputing 2, MIT Press, Cambridge, 1990.
  • [3] V. I. Arnol′d, Geometrical methods in the theory of ordinary differential equations, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Science], vol. 250, Springer-Verlag, New York-Berlin, 1983. Translated from the Russian by Joseph Szücs; Translation edited by Mark Levi. MR 695786
  • [4] P. Benecerraf, What numbers could not be, reprinted in Philosophy of Mathematics, 2nd ed. (Benecerraf and Putnam, eds.), Cambridge Univ. Press, London, 1983.
  • [5] J. S. Bruner, On knowing, Harvard Univ. Press, New York, 1966.
  • [6] A. S. Eddington, The philosophy of physical science, Cambridge Univ. Press, London, 1939.
  • [7] A. Einstein, Letter to Prussian Academy of Sciences, 1921, Ideas and Opinions, Crown Press, New York, 1954.
  • [8] S. Feferman, Why a little bit goes a long way: Logical foundations of scientifically applicable mathematics, Philosophy of Science 2 (1993), 442-455.
  • [9] C. Hermite, Letter to Stieltjes, quoted in R. Thom, Structural Stability and Morphogenesis, W. A. Benjamin, Reading, MA, 1975.
  • [10] T. Hobbes, Letter to Wallis, 1655, quoted by F. Cajori, Amer. Math. Monthly 22 (1915), 45.
  • [11] P. Maddy, Indispensability and practice, The Journal of Philosophy 89 (1992), 275-289.
  • [12] 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
  • [13] H. Putnam, Mathematics without foundations, reprinted in H. Putnam, Mathematics, Matter and Method, 2nd ed., Cambridge Univ. Press, London, 1979.
  • [14] 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