Constructibility and Mathematical Existence
Chihara, Charles S. Professor of Philosophy, University of California, Berkeley
Print publication date: 1991 (this edition)
Published to Oxford Scholarship Online:
Print ISBN-13: 978-0-19-823975-8
doi:10.1093/0198239750.003.0009
 

9 Why Burgess Is a Moderate Realist
Charles S. Chihara
Concerns an attempted refutation of nominalism put forward by John Burgess in the form of a dilemma argument. Argues that Burgess's argument is based upon a false dilemma.
Keywords: John Burgess, mathematical nominalism, nominalism
doi:10.1093/0198239750.003.0009
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Contents
 
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Full Book Contents
Preface
Part I The Constructibility Theory
1 The Problem of Existence in Mathematics
2 The Constructibility Quantifiers
3 Constructibility and Open-Sentences
4 The Deductive System
5 Cardinality and Number Theory
6 Measurable Quantities and Analysis
Part II Philosophical Developments
7 Mathematical Structuralism
8 Science Without Numbers
9 Why Burgess Is a Moderate Realist
10 Maddy's Solution to the Problem of Reference
11 Kitcher's Ideal Agents
12 Deflationism and Mathematical Truth
Appendix
Bibliography
Index
 
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