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Discovering Modern Set Theory. I: The Basics
About this Title
Winfried Just, Ohio University, Athens, OH and Martin Weese, Humboldt University, Berlin, Germany
Publication: Graduate Studies in Mathematics
Publication Year:
1996; Volume 8
ISBNs: 978-0-8218-0266-3 (print); 978-1-4704-2068-0 (online)
DOI: https://doi.org/10.1090/gsm/008
MathSciNet review: MR1362546
MSC: Primary 04-01; Secondary 03-01
Table of Contents
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Front/Back Matter
Chapters
Part 1: Not entirely naive set theory
- Chapter 1. Pairs, relations, and functions
- Chapter 2. Partial order relations
- Chapter 3. Cardinality
- Chapter 4. Induction
Part 2: An axiomatic foundation of set theory
- Chapter 5. Formal languages and models
- Chapter 6. Power and limitations of the axiomatic method
- Chapter 7. The axioms
- Chapter 8. Classes
- Chapter 9. Versions of the Axiom of Choice
- Chapter 10. The ordinals
- Chapter 11. The Cardinals
- Chapter 12. Pictures of the universe