ProofWiki:Books/Paul R. Halmos/Naive Set Theory

Paul R. Halmos: Naive Set Theory

Published 1960, Academic Press Inc..

ISBN 978-1-61427-131-4

Subject Matter

• Set Theory

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