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The Oxford Handbook of Philosophy of Mathematics and Logic : Oxford Handbooks - Stewart Shapiro

The Oxford Handbook of Philosophy of Mathematics and Logic

Oxford Handbooks

By: Stewart Shapiro (Editor)

Hardcover

Published: 1st January 2005
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Mathematics and logic have been central topics of concern since the dawn of philosophy. Since logic is the study of correct reasoning, it is a fundamental branch of epistemology and a priority in any philosophical system. Philosophers have focused on mathematics as a case study for general philosophical issues and for its role in overall knowledge- gathering. Today, philosophy of mathematics and logic remain central disciplines in contemporary philosophy, as evidenced by the regular appearance of articles on these topics in the best mainstream philosophical journals; in fact, the last decade has seen an explosion of scholarly work in these areas.
This volume covers these disciplines in a comprehensive and accessible manner, giving the reader an overview of the major problems, positions, and battle lines. The 26 contributed chapters are by established experts in the field, and their articles contain both exposition and criticism as well as substantial development of their own positions. The essays, which are substantially self-contained, serve both to introduce the reader to the subject and to engage in it at its frontiers. Certain major positions are represented by two chapters--one supportive and one critical.
The Oxford Handbook of Philosophy of Math and Logic is a ground-breaking reference like no other in its field. It is a central resource to those wishing to learn about the philosophy of mathematics and the philosophy of logic, or some aspect thereof, and to those who actively engage in the discipline, from advanced undergraduates to professional philosophers, mathematicians, and historians.

"The Oxford Handbook of the Philosophy of Mathematics and Logic is a very accessible, wide ranging work that serves not only to indicate the 'state of the art' in the given area, but, remarkably, also serves as a very fine introduction to the field. I recommend it highly, both to workers in the given field and, equally, to the 'general philosopher,' regardless of one's main area." --Notre Dame Philosophical Reviews "The Oxford Handbook of the Philosophy of Mathematics and Logic is most certainly here to stay for a very long time. The quality of each of the contributions is reflected in the authors' stimulating writing. The handbook can add substantially to the emerging thoughts and studies on the subject."--Current Engineering Practice

Philosophy of mathematics and its logic : introductionp. 3
Apriority and application : philosophy of mathematics in the modern periodp. 28
Later empiricism and logical positivismp. 51
Wittgenstein on philosophy of logic and mathematicsp. 75
The logicism of Frege, Dedekind, and Russellp. 129
Logicism in the twenty-first centuryp. 166
Logicism reconsideredp. 203
Formalismp. 236
Intuitionism and philosophyp. 318
Intuitionism in mathematicsp. 356
Intuitionism reconsideredp. 387
Quine and the web of beliefp. 412
Three forms of naturalismp. 437
Naturalism reconsideredp. 460
Nominalismp. 483
Nominalism reconsideredp. 515
Structuralismp. 536
Structuralism reconsideredp. 563
Predicativityp. 590
Mathematics - application and applicabilityp. 625
Logical consequence, proof theory, and model theoryp. 651
Logical consequence from a constructivist point of viewp. 671
Relevance in reasoningp. 696
No requirement of relevancep. 727
Higher-order logicp. 751
Higher-order logic reconsideredp. 781
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780195148770
ISBN-10: 0195148770
Series: Oxford Handbooks
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 856
Published: 1st January 2005
Publisher: Oxford University Press
Country of Publication: GB
Dimensions (cm): 25.4 x 18.2  x 5.9
Weight (kg): 1.58