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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:

[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.
[4]
P. Benecerraf, \emph{What numbers could not be}, 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, \emph{Letter to Prussian Academy of Sciences}, Crown Press, New York, 1954.
[8]
S. Feferman, Why a little bit goes a long way\,\RM : Logical foundations of scientifically applicable mathematics, Philosophy of Science \textbf{2} (1993), 442--455.
[9]
C. Hermite, \emph{Letter to Stieltjes}, W. A. Benjamin, Reading, MA, 1975.
[10]
T. Hobbes, Letter to Wallis, {\rm 1655}, quoted by F. Cajori, Amer. Math. Monthly \textbf{22} (1915).
[11]
P. Maddy, Indispensability and practice, The Journal of Philosophy \textbf{89} (1992), 275--289.
[12]
W. S. McCulloch, Embodiments of mind, M.I.T. Press, Cambridge, 1965.
[13]
H. Putnam, \emph{Mathematics without foundations}, Cambridge Univ. Press, London, 1979.
[14]
S. G. Shanker, \emph{Wittgenstein{\rm '}s remarks on the significance of G\"odel{\rm '}s theorem}, 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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