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Naive set theory /

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Bibliographic Details
Main Author: Halmos, Paul R. (Paul Richard), 1916-2006
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York : Springer-Verlag, [1974]
Series:Undergraduate texts in mathematics.
Subjects:
Set theory.
Arithmetic > Foundations.
Ensembles, Théorie des.
Arithmétique > Fondements.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 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.