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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Book Review

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Book Information

Author(s): 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:

Bibliography

[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.


Additional Information:

Reviewer(s):
Morris W. Hirsch

Review Information:
Journal: Bull. Amer. Math. Soc. 32 (1995), 137-148.
DOI: 10.1090/S0273-0979-1995-00552-5
PII: S 0273-0979(1995)00552-5




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