Set theory (Q2756690)
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scientific article; zbMATH DE number 1674056
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Set theory |
scientific article; zbMATH DE number 1674056 |
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18 November 2001
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introduction to axiomatic set theory
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Set theory (English)
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This is a thorough and elegant introduction to modern axiomatic set theory. A great advantage is that each chapter is bite-sized, clear, and well thought out. There is an Appendix of challenging exercises, with hints. The chapters are: 1. Zermelo-Fraenkel Axioms; 2. Ordinals, Cardinals; 3. Axiom of Foundation; 4. The Reflection Schema; 5. The Set of Formulas; 6. Ordinal-definable Sets; 7. Fraenkel-Mostowski Models; 8. Constructible Sets; 9. Gödel's Incompleteness Theorem; 10. A Simple Case of Forcing; 11. Generic Extensions; 12. Independence of the Continuum Hypothesis; 13. Independence of the Axiom of Choice; 14. Products of Sets of Conditions; 15. Chains and Antichains; 16. Complete Boolean Algebras; 17. Trees.
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