Book:Paul R. Halmos/Naive Set Theory

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Paul R. Halmos: Naive Set Theory

Published $1960$, Academic Press Inc.

ISBN 978-1-61427-131-4.


Subject Matter


Contents

Preface
1. The Axiom of Extension
2. The Axiom of Specification
3. Unordered Pairs
4. Unions and Intersections
5. Complements and Powers
6. Ordered Pairs
7. Relations
8. Functions
9. Families
10. Inverses and Composites
11. Numbers
12. The Peano Axioms
13. Arithmetic
14. Order
15. The Axiom of Choice
16. Zorn's Lemma
17. Well Ordering
18. Transfinite Recursion
19. Ordinal Numbers
20. Sets of Ordinal Numbers
21. Ordinal Arithmetic
22. The Schröder-Bernstein Theorem
23. Countable Sets
24. Cardinal Arithmetic
25. Cardinal Numbers
Index


Cited by


Sources