The Oxford Handbook of Philosophy of Mathematics and Logic
Series: Oxford Handbooks;
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Product details:
- Publisher OUP USA
- Date of Publication 3 March 2005
- ISBN 9780195148770
- Binding Hardback
- No. of pages856 pages
- Size 185x251x66 mm
- Weight 1619 g
- Language English
- Illustrations 9 figures 0
Categories
Short description:
This Oxford Handbook covers the current state of the art in the philosophy of maths and logic in a comprehensive and accessible manner, giving the reader an overview of the major problems, positions, and battle lines. The 26 newly-commissioned chapters are by established experts in the field and contain both exposition and criticism as well as substantial development of their own positions. Select major positions are represented by two chapters - one supportive and one critical. The book includes a comprehensive bibliography.
MoreLong description:
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.
Table of Contents:
Philosophy of Mathematics and Its Logic: Introductory Overview
Philosophy of Mathematics in the Modern Period
Later Empiricism and Logical Positivism
The Logicism of Frege, Dedekind and Russell
Logicism in the 21st Century
Logicism Reconsidered
Formalism
Intuitionism
Intuitionism and Mathematics
Intuitionism Reconsidered
Quine and the Web of Belief
Three Forms of Naturalism
Naturalism Reconsidered
Nominalism
Nominalism Reconsidered
Structuralism
Structuralism Reconsidered
Predicativity
Mathematics - Application and Applicability
Logical Consequence, Proof Theory, and Model Theory
Logical Consequence From a Constructivist Point of View
Relevance in Reasoning
No Requirement of Relevance
Higher-order Logic
Higher-order Logic Reconsidered
