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Philosophia Mathematica Advance Access originally published online on March 12, 2007
Philosophia Mathematica 2007 15(3):366-386; doi:10.1093/philmat/nkm005
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Copyright © The Author 2007. Published by Oxford University Press.

Book Review

LISA A. SHABEL. Mathematics in Kant's Critical Philosophy: Reflections on Mathematical Practice. Studies in Philosophy Outstanding Dissertations, Robert Nozick, ed. New York & London: Routledge, 2003. ISBN 0-415-93955-0. Pp. 178 (cloth){dagger}

René Jagnow*

* Department of Philosophy, University of Georgia, Athens, Georgia 30606 U.S.A.

Correspondence: rjagnow@uga.edu

Lisa A. Shabel. Mathematics in Kant's Critical Philosophy: Reflections on Mathematical Practice. , Robert Nozick, ed. New York & London: Routledge, 2003. ISBN 0-415-93955-0. Pp. 178 (cloth)

The first 150 words of the full text of this article appear below.

Lisa Shabel's book Mathematics in Kant's Critical Philosophy: Reflections on Mathematical Practice, published in the Harvard Series of Outstanding Dissertations, presents the unrevised text of her dissertation, which she defended at the University of Pennsylvania in 1997.


   0. General Goal of the Book
 
In this interesting and engaging book, Shabel offers an interpretation of Kant's philosophy of mathematics as expressed in his critical writings. Shabel's analysis is based on the insight that Kant's philosophical standpoint on mathematics cannot be understood without an investigation into his perception of mathematical practice in the seventeenth and eighteenth centuries. She aims to illuminate Kant's theory of the construction of concepts in pure intuition—the basis for his conclusion that mathematical knowledge is synthetic a priori. She does this through a contextualized interpretation of his notion of mathematical construction, which she argues can be approached by looking at Euclid's Elements and Christian Wolff's mathematical textbooks. The importance of the former . . . [Full Text of this Article]


   1a. Part I. The Role of the Euclidean Diagram in the Elements
 

   1b. Comments on Part I
 

   2a. Part II. Wolff: The Elementa and Early Modern Mathematical Practice
 

   2b. Comments on Part II
 

   3a. Part III: Kant: Mathematics in the Critique of Pure Reason
 

   3b. Comments on Part III
 

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