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Constructibility and Mathematical Existence Charles S. Chihara (Professor of Philosophy, Professor of Philosophy, University of California at Berkeley)

Constructibility and Mathematical Existence By Charles S. Chihara (Professor of Philosophy, Professor of Philosophy, University of California at Berkeley)

Constructibility and Mathematical Existence by Charles S. Chihara (Professor of Philosophy, Professor of Philosophy, University of California at Berkeley)

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Summary

Concerned with the problem of existence in mathematics, this volume develops a mathematical system in which there are no existence assertions but only assertions of constructibility. It explores the philosophical implications of such an approach in the writings of Field, Burgess, Maddy and Kitcher.

Constructibility and Mathematical Existence Summary

Constructibility and Mathematical Existence by Charles S. Chihara (Professor of Philosophy, Professor of Philosophy, University of California at Berkeley)

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.

Constructibility and Mathematical Existence Reviews

`More than half of this important book is devoted to extended, largely informal discussions of just about everybody engaged in post-Quinean philosophy of mathematics ... Especially delightful are Chihara's exchanges with all or almost all of these philosophers in the form of personal correspondence.' Review of Metaphysics
'the book is 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.' Stewart Shapiro, Ohio State University, Mind, Vol. 101, No. 402, April 1992
'an important work in the philosophy of mathematics, well deserving of more careful study and analysis than there has been room for here' John P. Burgess, Princeton University, The Philosophical Review, Vol. 101, No. 4, (October 1992)

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.

Additional information

NLS9780198239758
9780198239758
0198239750
Constructibility and Mathematical Existence by Charles S. Chihara (Professor of Philosophy, Professor of Philosophy, University of California at Berkeley)
Charles S. Chihara (Professor of Philosophy, Professor of Philosophy, University of California at Berkeley)
Clarendon Paperbacks
New
Paperback
Oxford University Press
1991-06-06
298
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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