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Truth, Proof and Infinity

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Cover of 'Truth, Proof and Infinity'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Introduction and Statement of the Problem
  3. Altmetric Badge
    Chapter 2 What’s Wrong with Set Theory?
  4. Altmetric Badge
    Chapter 3 What’s Wrong with Infinite Quantifiers?
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    Chapter 4 Abstraction and Idealisation
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    Chapter 5 What are Constructions?
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    Chapter 6 Truth and Proof of Logical Formulae
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    Chapter 7 The Need for a Theory of Constructions
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    Chapter 8 Theories of Constructions
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    Chapter 9 Hilbert’s Formalism
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    Chapter 10 Open-Endedness
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    Chapter 11 Analysis
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    Chapter 12 Introduction to Part II
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    Chapter 13 Design of the Term Language
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    Chapter 14 The Term Language
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    Chapter 15 From the Term Language to the Expanded Term Language
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    Chapter 16 The Expanded Term Language
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    Chapter 17 The Protological Sequent Calculus
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    Chapter 18 Commentary on the Protological Axioms and Rules
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    Chapter 19 From Protologic to Expanded Protologic
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    Chapter 20 Expanded Protologic
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    Chapter 21 From Expanded Protologic to the Coding of Trees
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    Chapter 22 The Coding of Trees
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    Chapter 23 The Expanded Term Language as a Functional Programming Language
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    Chapter 24 Introduction to Part III
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    Chapter 25 From the Coding of Trees to Logic
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    Chapter 26 Logic
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    Chapter 27 From Logic to the Calculus of Proof Functions
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    Chapter 28 Calculus of Proof Functions
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    Chapter 29 From Calculus of Proof Functions to the Logic of Partial Terms
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    Chapter 30 Logic of Partial Terms
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    Chapter 31 From Logic of Partial Terms to Heyting Arithmetic
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    Chapter 32 Heyting Arithmetic
  34. Altmetric Badge
    Chapter 33 From Heyting Arithmetic to Peano Arithmetic
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    Chapter 34 Peano Arithmetic
  36. Altmetric Badge
    Chapter 35 Conclusions on Arithmetic
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    Chapter 36 Introduction to Part IV
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    Chapter 37 From Expanded Protologic to the Second-Order Coding of Trees
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    Chapter 38 The Second-Order Coding of Trees
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    Chapter 39 From the Second-Order Coding of Trees to Second-Order Logic
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    Chapter 40 Second-Order Logic
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    Chapter 41 From Second-Order Logic to Second-Order Calculus of Proof Functions
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    Chapter 42 Second-Order Calculus of Proof Functions
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    Chapter 43 From Second-Order Calculus of Proof Functions to Second-Order Logic of Partial Terms
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    Chapter 44 Second-Order Logic of Partial Terms
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    Chapter 45 From Second-Order Logic of Partial Terms to Second-Order Heyting Arithmetic
  47. Altmetric Badge
    Chapter 46 Second-Order Heyting Arithmetic
  48. Altmetric Badge
    Chapter 47 From Second-Order Heyting Arithmetic to Second-Order Peano Arithmetic
  49. Altmetric Badge
    Chapter 48 Second-Order Peano Arithmetic
  50. Altmetric Badge
    Chapter 49 Conclusions on Analysis
Overall attention for this book and its chapters
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Title
Truth, Proof and Infinity
Published by
Springer Netherlands, January 1998
DOI 10.1007/978-94-017-3616-9
ISBNs
978-9-04-815105-9, 978-9-40-173616-9
Authors

Fletcher, Peter

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Mendeley readers

The data shown below were compiled from readership statistics for 4 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 4 100%

Demographic breakdown

Readers by professional status Count As %
Student > Bachelor 3 75%
Lecturer 1 25%
Readers by discipline Count As %
Philosophy 1 25%
Mathematics 1 25%
Physics and Astronomy 1 25%
Social Sciences 1 25%