Widespread interest in Frege’s general philosophical writings is, relatively speaking, a fairly recent phenomenon. But it is only very recently that his philosophy of mathematics has begun to attract the attention it now enjoys. This interest has been elicited by the discovery of the remarkable mathematical properties of Frege’s contextual definition of number and of the unique character of his proposals for a theory of the real numbers.
This collection of essays addresses three main developments in recent work on Frege’s philosophy of mathematics: the emerging interest in the intellectual background to his logicism; the rediscovery of Frege’s theorem; and the reevaluation of the mathematical content of The Basic Laws of Arithmetic. Each essay attempts a sympathetic, if not uncritical, reconstruction, evaluation, or extension of a facet of Frege’s theory of arithmetic. Together they form an accessible and authoritative introduction to aspects of Frege’s thought that have, until now, been largely missed by the philosophical community.
Scholarly, thorough, and well presented...This collection presents material that has important philosophical implications.
This is clearly the best collection of articles on Frege's philosophy of mathematics in existence today. It is also (unlike many collections of articles that are published these days) practically very useful. It serves as an excellent introduction to what is the liveliest part of Frege scholarship today, and to what has become an important sub-field of contemporary philosophy of mathematics, namely the understanding and assessment of the logistic project.
Distinctive, indeed, unique, in its concentration on the formal argument in Frege's work. There is no other secondary work in any form which engages the formal argument through the whole of Frege's project. These essays motivate the work, and locate it philosophically, rendering it independent of other secondary sources.
- 480 pages
- 6-3/8 x 9-1/4 inches
- Harvard University Press
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