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Classic Set Theory a Guided Independent Study

by Derek Goldrei

Classic Set Theory A Guided Independent Study cover
  • ISBN: 9780412606106
  • ISBN10: 0412606100

Classic Set Theory a Guided Independent Study

by Derek Goldrei

  • Binding: Paperback
  • Publisher: CRC Pr I Llc
  • Publish date: 10/01/1996
  • ISBN: 9780412606106
  • ISBN10: 0412606100
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Description: INTRODUCTION Outline of the book Assumed knowledge THE REAL NUMBERS Introduction Dedekind's construction Alternative constructions The rational numbers THE NATURAL NUMBERS Introduction The construction of the natural numbers Arithmetic Finite sets THE ZERMELO-FRAENKEL AXIOMS Introduction A formal language Axioms 1 to 3 Axioms 4 to 6 Axioms 7 to 9 CARDINAL (Without the Axiom of Choice) Introduction Comparing Sizes Basic properties of ~ and = Infinite sets without AC-countable sets Uncountable sets and cardinal arithmetic without AC ORDERED SETS Introduction Linearly ordered sets Order arithmetic Well-ordered sets ORDINAL NUMBERS Introduction Ordinal numbers Beginning ordinal arithmetic Ordinal arithmetic The s SET THEORY WITH THE AXIOM OF CHOICE Introduction The well-ordering principle Cardinal arithmetic and the axiom of choice The continuum hypothesis BIBLIOGRAPHY INDEX
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