Constructibility and mathematical existence
著者
書誌事項
Constructibility and mathematical existence
Clarendon Press , Oxford University Press, 1990
- : pbk
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注記
Includes bibliographical references and index
内容説明・目次
- 巻冊次
-
: pbk ISBN 9780198239758
内容説明
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.
目次
- 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.
- 巻冊次
-
ISBN 9780198248170
内容説明
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 in an examination of the writings of Field, Burgess, Maddy, Kitcher, and others.
目次
- 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.
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