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Philosophia Mathematica Advance Access originally published online on July 1, 2006
Philosophia Mathematica 2006 14(3):338-400; doi:10.1093/philmat/nkl012
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Philosophia Mathematica (III), Vol. 14 No. 3 © The Author [2006]. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oxfordjournals.org

Book Review

Mending the Master{dagger}

JOHN P. BURGESS, Fixing Frege. Princeton, N. J.: Princeton University Press, 2005. ISBN 0-691-12231-8. Pp. xii + 257.

Øystein Linnebo*

* Department of Philosophy, University of Bristol Bristol BS8 1TB United Kingdom Oystein.Linnebo@bristol.ac.uk

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


   1. General Remarks
 
Fixing Frege is one of the most important investigations to date of Fregean approaches to the foundations of mathematics. In addition to providing an unrivalled survey of the technical program to which Frege's writings have given rise, the book makes a large number of improvements and clarifications. Anyone with an interest in the philosophy of mathematics will enjoy and benefit from the careful and well-informed overview provided by the first of its three chapters. Specialists will find the book an indispensable reference and an invaluable source of insights and new results.

Although Frege is widely regarded as the father of analytic philosophy, his work on the foundations of mathematics was for a long time rather peripheral to ongoing research. The main reason for this is no doubt Russell's discovery in 1901 that the paradox now bearing his name can be derived in Frege's logical system. But recent decades have seen . . . [Full Text of this Article]


   2. The Rise and Fall of Frege's Foundation
 

   3. Fixing Frege's Foundation
 

   4. Cutting Down on Concepts
 

   5. Cutting Down on Extensions
 

   6. What Remains of Frege's Foundation?
 

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