Set Theory and the Continuum Problem

Klappentext A lucid, elegant, and complete survey of set theory, this three-part treatment explores axiomatic set theory, the consistency of the continuum hypothesis, and forcing and independence results. 1996 edition. Inhaltsverzeichnis Preface to the Revised 2010 EditionPrefaceI Axiomatic Set Theory1. General Background2. Some Basics of Class-Set Theory3. The Natural Numbers4. Superinduction, Well Ordering and Choice5. Ordinal Numbers6. Order Isomorphism and Transfinite Recursion7. Rank8. Foundation, Induction and Rank9. CardinalsII Consistency of the Continuum Hypothesis10. Mostowski-Shepherdson Mappings11. Reflection Principles12. Constructible Sets13. L is a Well-Founded First-Order Universe14. Constructibility is Absolute Over L15. Constructibility and the Continuum HypothesisIII Forcing and Independence Results16. Forcing, the Very Idea17. The Construction of S 4 Models for ZF18. The Axiom of Constructibility is Independent19. Independence in the Continuum Hypothesis20. Independence of the Axiom of Choice21. Constructing Classical Models22. Forcing BackwardBibliographyIndexList of Notation

Produktdetails

• Autoren: Melvin Fitting, Raymond M Smullyan, Raymond M Fitting Smullyan, Raymond M. Smullyan, Raymond M. Fitting Smullyan, Raymond M./ Fitting Smullyan
• Verlag: Dover Publications Inc.
• Sprache: Englisch
• Produktform: Taschenbuch
• Erschienen: 01.01.2009
• EAN: 9780486474847
• ISBN: 978-0-486-47484-7
• Seiten: 336
• Abmessung: 159 mm x 235 mm x 25 mm
• Serien: Dover Books on Mathematics; Dover Books on Mathematics
• Thema: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Grundlagen