Book contents
- Frontmatter
- Contents
- Preface
- Synopsis
- 1 Introduction
- 2 Logical foundations
- 3 Avoiding Russell's paradox
- 4 Further axioms
- 5 Relations and order
- 6 Ordinal numbers and the Axiom of Infinity
- 7 Infinite arithmetic
- 8 Cardinal numbers
- 9 The Axiom of Choice and the Continuum Hypothesis
- 10 Models
- 11 From Gödel to Cohen
- A Peano Arithmetic
- B Zermelo–Fraenkel set theory
- C Gödel's Incompleteness Theorems
- Bibliography
- Index
7 - Infinite arithmetic
Published online by Cambridge University Press: 05 August 2014
- Frontmatter
- Contents
- Preface
- Synopsis
- 1 Introduction
- 2 Logical foundations
- 3 Avoiding Russell's paradox
- 4 Further axioms
- 5 Relations and order
- 6 Ordinal numbers and the Axiom of Infinity
- 7 Infinite arithmetic
- 8 Cardinal numbers
- 9 The Axiom of Choice and the Continuum Hypothesis
- 10 Models
- 11 From Gödel to Cohen
- A Peano Arithmetic
- B Zermelo–Fraenkel set theory
- C Gödel's Incompleteness Theorems
- Bibliography
- Index
Summary
- Type
- Chapter
- Information
- The Logic of Infinity , pp. 303 - 318Publisher: Cambridge University PressPrint publication year: 2014