Book Review
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MathSciNet review:
1568157
Full text of review:
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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.
[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.
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
[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.
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.
- [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. Arnold, Geometrical methods in the theory of ordinary differential equations, Springer, New York, 1983. MR 695786 (84d:58023)
- [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]
- W. S. McCulloch, Embodiments of mind, M.I.T. Press, Cambridge, 1965. MR 946795 (89f:01092)
- [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
DOI:
https://doi.org/10.1090/S0273-0979-1995-00552-5
