Constructibility and Mathematical Existence
Author:   Charles S. Chihara (Professor of Philosophy, Professor of Philosophy, University of California at Berkeley, USA)
Publisher:   Oxford University Press
Edition:   New edition
ISBN:  

9780198239758


Pages:   298
Publication Date:   06 June 1991
Format:   Paperback
Availability:   To order   Availability explained
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Constructibility and Mathematical Existence


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Overview

This book is concerned with `the problem of existence in mathematics'. It develops a mathematical system in which there are no existence assertions but only assertions of the constructibility of certain sorts of things. It explores the philosophical implications of such an approach through an examination of the writings of Field, Burgess, Maddy, Kitcher, and others.

Full Product Details

Author:   Charles S. Chihara (Professor of Philosophy, Professor of Philosophy, University of California at Berkeley, USA)
Publisher:   Oxford University Press
Imprint:   Clarendon Press
Edition:   New edition
Dimensions:   Width: 13.90cm , Height: 1.60cm , Length: 21.80cm
Weight:   0.372kg
ISBN:  

9780198239758


ISBN 10:   0198239750
Pages:   298
Publication Date:   06 June 1991
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

PART I: THE CONSTRUCTIBILITY THEORY: The Problem of Existence in Mathematics; The Constructibility Quantifiers; Constructibility and Open-Sentences; The Deductive System; Cardinality and Number Theory; Measurable Quantities and Analysis. PART II: PHILOSOPHICAL DEVELOPMENTS: Mathematical Structuralism; Science Without Numbers; Why Burgess is a Moderate Realist; Maddy's Solution to the Problem of Reference; Kitcher's Ideal Agents; Deflationism and Mathematical Truth. Appendix; Field's Nominalistic Logical Theory.

Reviews

<br> Written in a lively, engaging style and is filled with penetrating analyses and careful thought. I recommend it to anyone with a serious interest in the philosophy of mathematics. --Mind<p><br> An important book....It helps sharpen and deepen our understanding of some of the most interesting issues in the philosophy of mathematics, and it thereby pushes our subject forward. --Philosophia Mathematica<p><br>


Written in a lively, engaging style and is filled with penetrating analyses and careful thought. I recommend it to anyone with a serious interest in the philosophy of mathematics. --Mind<br> An important book....It helps sharpen and deepen our understanding of some of the most interesting issues in the philosophy of mathematics, and it thereby pushes our subject forward. --Philosophia Mathematica<br>


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