Outlines of a Formalist Philosophy of Mathematics

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Author(s): Haskell B. Curry (Eds.)
Series: Studies in Logic and the Foundations of Mathematics 3
Publisher: Elsevier Science
Year: 1951

Language: English
Pages: iii-vii, 1-75

Content:
Edited by
Page iii

Copyright page
Page iv

Preface
Pages v-vii
Haskell B. Curry

I Introduction
Pages 1-2

II The Problem of Mathematical Truth
Pages 3-4

III Idealistic Views of Mathematics
Pages 5-7

IV Definition and Structure of a Formal System
Pages 8-16

V Examples of Formal Systems
Pages 17-27

VI Ontological Discussion of a Formal System
Pages 28-33

VII Reduction of a Formal System
Pages 34-37

VIII Formal Systems and Syntax
Pages 38-49

IX Metatheory
Pages 50-55

X The Formalist Definition of Mathematics
Pages 56-58

XI Truth and Acceptability
Pages 59-64

XII Mathematics and Logic
Pages 65-69

Appendix A Reformulation of Example 9
Pages 70-75