Naive Set Theory

by Paul R Halmos

Overview

Written by a prominent analyst Paul R. Halmos, this is the most famous, popular, and widely used textbook in the subject. The book is readable for its conciseness and clear explanation.

This emended edition is newly typeset and corrected.

The free PDF file available on the publisher's website www.bwpest2018.org

Product Details

ISBN-13:	9781950217007
Publisher:	Bow Wow Press
Publication date:	06/01/2019
Edition description:	Emended ed.
Pages:	98
Product dimensions:	8.50(w) x 11.00(h) x 0.20(d)

About the Author

The author obtained his Ph.D. from the University of Illinois at Urbana-Champaign. He worked for the Institute for Advanced Study, the University of Chicago, . . . . He was recognized as a great analyst and mathematical expositor.

Table of Contents

PREFACE.

CONTENTS.

1. THE AXIOM OF EXTENSION SECTION.

2. THE AXIOM OF SPECIFICATION SECTION.

3. UNORDERED PAIRS SECTION.

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 SCHRODER-BERNSTEIN THEOREM.

23. COUNTABLE SETS.

24. CARDINAL ARITHMETIC.

25. CARDINAL NUMBERS. INDEX.

Editorial Reviews

"This book is a very specialized but broadly useful introduction to set theory." (Allen Stenger, The Mathematical Association of America, September, 2011)

From the Publisher