Naive Set Theory

Naive Set Theory by P. R. Halmos.

Every mathematician agrees that every mathematician must know some set theory; the disagreement begins in trying to decide how much is some. This book contains my answer to that question. The purpose of the book is to tell the beginning student of advanced mathematics the basic set­ theoretic facts...

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Bibliographic Details
Main Author: Halmos, P. R. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 1974.
Edition:1st ed. 1974.
Series:Undergraduate Texts in Mathematics,
Springer eBook Collection.
Subjects:
Mathematical logic.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
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.

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