Description

Book Synopsis

Equinumerosity.- Paradoxes and Axioms.- Are Sets All There is?.- The Natural Numbers.- Fixed Points.- Well Ordered Sets.- Choices.- Choice's Consequences.- Baire Space.- Replacement and Other Axioms.- Ordinal Numbers.

Trade Review

About the First Edition:

This is a sophisticated undergraduate set theory text, brimming with mathematics, and packed with elegant proofs, historical explanations, and enlightening exercises, all presented at just the right level for a first course in set theory.
- Joel David Hamkins, Journal of Symbolic Logic

This is an excellent introduction to axiomatic set theory, viewed both as a foundation of mathematics and as a branch of mathematics with its own subject matter, basic results, open problems.
- Achille C. Varzi, History and Philosophy of Logic



Table of Contents

Introduction * Equinumerosity * Paradoxes and axioms * Are sets all there is? * The natural numbers * Fixed points * Well ordered sets * Choices * Choice’s consequences * Baire space * Replacement and other axioms * Ordinal numbers * A. The real numbers * B. Axioms and universes * Index

Notes on Set Theory

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    A Hardback by Yiannis Moschovakis

    £999.99

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      Book details

      Publisher Springer Nature
      Published 21 December 2005
      ISBN-13 9780387287225
      978-0387287225
      ISBN-10 0387287221
      Also in:
      Mathematical logic

      Description

      Book Synopsis

      Equinumerosity.- Paradoxes and Axioms.- Are Sets All There is?.- The Natural Numbers.- Fixed Points.- Well Ordered Sets.- Choices.- Choice's Consequences.- Baire Space.- Replacement and Other Axioms.- Ordinal Numbers.

      Trade Review

      About the First Edition:

      This is a sophisticated undergraduate set theory text, brimming with mathematics, and packed with elegant proofs, historical explanations, and enlightening exercises, all presented at just the right level for a first course in set theory.
      - Joel David Hamkins, Journal of Symbolic Logic

      This is an excellent introduction to axiomatic set theory, viewed both as a foundation of mathematics and as a branch of mathematics with its own subject matter, basic results, open problems.
      - Achille C. Varzi, History and Philosophy of Logic



      Table of Contents

      Introduction * Equinumerosity * Paradoxes and axioms * Are sets all there is? * The natural numbers * Fixed points * Well ordered sets * Choices * Choice’s consequences * Baire space * Replacement and other axioms * Ordinal numbers * A. The real numbers * B. Axioms and universes * Index

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