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Foundations of Constructive Mathematics

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Cover of 'Foundations of Constructive Mathematics'

Table of Contents

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    Book Overview
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    Chapter 1 Examples of Constructive Mathematics
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    Chapter 2 Informal Foundations of Constructive Mathematics
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    Chapter 3 Some Different Philosophies of Constructive Mathematics
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    Chapter 4 Recursive Mathematics: Living with Church’s Thesis
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    Chapter 5 The Role of Formal Systems in Foundational Studies
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    Chapter 6 Theories of Rules
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    Chapter 7 Realizability
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    Chapter 8 Constructive Set Theories
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    Chapter 9 The Existence Property in Constructive Set Theory
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    Chapter 10 Theories of Rules, Sets, and Classes
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    Chapter 11 Constructive Type Theories
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    Chapter 12 Constructive Models of Set Theory
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    Chapter 13 Proof-Theoretic Strength
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    Chapter 14 Some Formalized Metamathematics and Church’s Rule
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    Chapter 15 Forcing
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    Chapter 16 Continuity
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    Chapter 17 Theories of Rules and Proofs
Attention for Chapter 2: Informal Foundations of Constructive Mathematics
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