Constructibility and Mathematical Existence

AvCharles S. Chihara,USA) Chihara, Charles S. (Professor of Philosophy, Professor of Philosophy, University of California at Berkeley

Inbunden, Engelska, 1990

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Beskrivning

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.

Produktinformation

Utgivningsdatum:1990-04-12
Mått:143 x 224 x 23 mm
Vikt:514 g
Format:Inbunden
Språk:Engelska
Antal sidor:298
Förlag:Clarendon Press
ISBN:9780198248170

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Recensioner i media

`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

Innehållsförteckning

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.