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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

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

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.


Full text of review: PDF   This review is available free of charge.
Book Information:

Author: I. Grattan-Guinness
Title: The search for mathematical roots, 1870-1940: Logics, set theories, and the foundations of mathematics from Cantor through Russell to Gödel
Additional book information: Princeton University Press, Princeton, NJ, 2000, 690 pp., ISBN 0-691-05857-1, $24.95$

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

1.
W. Ewald, From Kant to Hilbert: A source book in the foundations of mathematics. Oxford University Press, 1996. MR 1465678
2.
Ferreirós, J., Labyrinth of thought: A history of set theory and its role in modern mathematics. Birkhäuser Verlag, 1999. MR 1726552
3.
Hallett, M., Cantorian set theory and limitation of size. Oxford University Press, 1984. MR 0765076
4.
Hilbert, D. and Ackermann, W., Grundzüge der theoretischen Logik. Springer Verlag, 1928.
5.
Mancosu, P., From Brouwer to Hilbert: The debate on the foundations of mathematics in the 1920s. Oxford University Press, 1998. MR 1685779
6.
Moore, G., Zermelo's axiom of choice: its origins, development, and influence. Springer Verlag, 1982. MR 0679315
7.
Sieg, W., Hilbert's programs: 1917-1922. Bulletin of Symbolic Logic 5 (1999), 1-44. MR 1681894

Review Information:

Reviewer: William Ewald
Affiliation: University of Pennsylvania Law School
Email: wewald@law.upenn.edu
Journal: Bull. Amer. Math. Soc. 40 (2003), 125-129
Published electronically: October 16, 2002
Review copyright: © Copyright 2002 American Mathematical Society