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Book synopsis

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

Book details

Book category Books in English Mathematics & science Mathematics Mathematical foundations

• Full title: Set Theory and the Continuum Problem
• Author: RaymondM Smullyan
• Language: English
• Binding: Paperback
• Number of pages: 336
• EAN: 9780486474847
• ISBN: 0486474844
• ID: 04086538
• Publisher: Dover Publications Inc.
• Weight: 466 g
• Dimensions: 228 × 162 × 16 mm
• Date of publishing: 21. April 2010

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