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The Princeton Companion to Mathematics, edited by Timothy Gowers (June Barrow-Green and Imre Leader, associate editors), Princeton University Press, 2008, 1008 pp.

Published online by Cambridge University Press:  15 January 2014

Juliette Kennedy
Juliette Kennedy*
Affiliation:
Department of Mathematics and Statistics, University of Helsinki, [email protected].
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Type
Reviews
Information
Bulletin of Symbolic Logic , Volume 15 , Issue 4 , December 2009 , pp. 431 - 436
Copyright
Copyright © Association for Symbolic Logic 2009

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References

1 p. ix.

2 “The Essence of Mathematics” in Newman, J. R. (ed.) The World of Mathematics, New York: Simon and Schuster, 1956 Google Scholar.

3 p. 155.

4 as described by Hodges, Wilfrid in “What is a Structure Theory,” Bulletin of the London Mathematical Society, (1987), vol. 19, 209–237 Google Scholar. Shelah's abstract announcing the final step of the proof was called “Why am I so happy?”, Abstracts Amer. Math. Soc., 3 (1982), 282 Google Scholar.

5 p. 928.

6 Ibid.

7 Ibid.

8 p. 931.

9 p. 933.

10 p. 934.

11 p. 931.

12 Harris has written about 5 philosophical papers out of a total of 70. The remainder are mostly in the area of number theory.

13 p. 973.

14 p. 970. Italics the reviewer's.

15 p. 969.

16 p. 971. Harris is quoting from Corfield's, David Towards a Philosophy of Real Mathematics, Oxford 2003 CrossRefGoogle Scholar.

17 p. 971. Harris is quoting from Hacking's, Ian Historical Ontology, Harvard, 2002 Google Scholar.

18 p. 971.

19 p. 966.

20 p. 972.

21 Many of the above-cited remarks, as well as those of a similar critical nature, are a somewhat disparate collection of citations from the literature. It is therefore perhaps not entirely clear what the specifics of Harris's own criticism amounts to.

22 p. 21, Theories and Things, Harvard 1981 Google Scholar.

23 p. 973.