Book:Paul R. Halmos/Naive Set Theory
Jump to navigation
Jump to search
Paul R. Halmos: Naive Set Theory
Published $\text {1960}$, 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
- 1964: W.E. Deskins: Abstract Algebra
- 1966: Richard A. Dean: Elements of Abstract Algebra
- 1967: George McCarty: Topology: An Introduction with Application to Topological Groups
- 1975: Bert Mendelson: Introduction to Topology (3rd ed.)
- 1977: K.G. Binmore: Mathematical Analysis: A Straightforward Approach
- 1978: Thomas A. Whitelaw: An Introduction to Abstract Algebra
Sources
- 1975: Bert Mendelson: Introduction to Topology (3rd ed.) ... (previous) ... (next): Chapter $1$: Theory of Sets
- 1978: Thomas A. Whitelaw: An Introduction to Abstract Algebra ... (previous) ... (next): $\S 2$: Introductory remarks on sets: $\text{(g)}$
Source work progress
- 1960: Paul R. Halmos: Naive Set Theory ... (previous) ... (next): $\S 17$: Well Ordering
- 1960: Paul R. Halmos: Naive Set Theory ... (previous) ... (next): $\S 9$: Families -- Reviewing Chapter 9 with a view to making our treatment of families of sets watertight