Set Theory and the Continuum Problem

目录
Preface to the Revised 2010 Edition
Preface
I Axiomatic Set Theory
1. General Background
2. Some Basics of Class-Set Theory
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目录
Preface to the Revised 2010 Edition
Preface
I Axiomatic Set Theory
1. General Background
2. Some Basics of Class-Set Theory
3. The Natural Numbers
4. Superinduction, Well Ordering and Choice
5. Ordinal Numbers
6. Order Isomorphism and Transfinite Recursion
7. Rank
8. Foundation, Induction and Rank
9. Cardinals
II Consistency of the Continuum Hypothesis
10. Mostowski-Shepherdson Mappings
11. Reflection Principles
12. Constructible Sets
13. L is a Well-Founded First-Order Universe
14. Constructibility is Absolute Over L
15. Constructibility and the Continuum Hypothesis
III Forcing and Independence Results
16. Forcing, the Very Idea
17. The Construction of S 4 Models for ZF
18. The Axiom of Constructibility is Independent
19. Independence in the Continuum Hypothesis
20. Independence of the Axiom of Choice
21. Constructing Classical Models
22. Forcing Backward
Bibliography
Index
List of Notation
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