Frege's Philosophy of Mathematics

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Very Good 1994. Cloth, dj., 464 pp. (Subject: JEM, Modern Philosophy. )

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1995 Hardcover Good in good dust jacket. Ex Library book with usual stamps and stickers. Good condition book. Good condition is defined as: a copy that has been read but ... remains in clean condition. All of the pages are intact and the cover is intact and the spine may show signs of wear. The book may have minor markings which are not specifically mentioned. Most items will be dispatched the same or the next working day. *****PLEASE NOTE: This item is shipping from an authorized seller in Europe. In the event that a return is necessary, you will be able to return your item within the US. To learn more about our European sellers and policies see the BookQuest FAQ section***** Read more Show Less

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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.

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Editorial Reviews

Times Higher Education Supplement
Scholarly, thorough, and well presented...This collection presents material that has important philosophical implications.
— Gordon Baker
Zentralblatt MATH
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.
— Leon Horsten
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Product Details

  • ISBN-13: 9780674319424
  • Publisher: Harvard University Press
  • Publication date: 1/28/1994
  • Pages: 480
  • Product dimensions: 6.75 (w) x 9.61 (h) x 1.15 (d)

Meet the Author

William Demopoulos is Professor of Philosophy, University of Western Ontario.

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Table of Contents

Introduction 1
Appendix 21
1 Kant, Bolzano and the Emergence of Logicism 29
2 Frege: The Last Logicist 41
3 Frege and the Rigorization of Analysis 68
4 Frege and Arbitrary Functions 89
5 Frege: The Royal Road from Geometry 108
Postscript 149
6 Reading the Begriffsschrift 163
7 Frege's Theory of Number 182
Postscript 208
8 The Consistency of Frege's Foundations of Arithmetic 211
9 The Standard of Equality of Numbers 234
10 The Development of Arithmetic in Frege's Grundgesetze der Arithmetik 257
Postscript 288
11 Definition by Induction in Frege's Grundgesetze der Arithmetik 295
12 Eudoxus and Dedekind: On the Ancient Greek Theory of Ratios and its Relation to Modern Mathematics 334
13 Frege's Theory of Real Numbers 358
14 Frege's Theory of Real Numbers 386
15 On a Question of Frege's about Right-ordered Groups 405
Postscript 418
16 On the Consistency of the First-order Portion of Frege's Logical System 422
17 Fregean Extensions of First-order Theories 432
18 Saving Frege from Contradiction 438
Index of Frege's Writings 453
General Index 457
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