Introduction to Axiomatic Set Theory
In 1963, the first author introduced a course in set theory at the University of Illinois whose main objectives were to cover Godel's work on the con sistency of the Axiom of Choice (AC) and the Generalized Continuum Hypothesis (GCH), and Cohen's work on the independence of the AC and the...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1982, 1982
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| Edition: | 2nd ed. 1982 |
| Series: | Graduate Texts in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1 Introduction
- 2 Language and Logic
- 3 Equality
- 4 Classes
- 5 The Elementary Properties of Classes
- 6 Functions and Relations
- 7 Ordinal Numbers
- 8 Ordinal Arithmetic
- 9 Relational Closure and the Rank Function
- 10 The Axiom of Choice and Cardinal Numbers
- 11 Cofinality, the Generalized Continuum Hypothesis, and Cardinal Arithmetic
- 12 Models
- 13 Absoluteness
- 14 The Fundamental Operations
- 15 The Gödel Model
- 16 Silver Machines
- 17 Applications of Silver Machines
- 18 Introduction to Forcing
- 19 Forcing
- Problem List
- Index of Symbols