6. Well-Ordered Sets

  1. Theodore G. Faticoni

Published Online: 26 APR 2012

DOI: 10.1002/9781118243879.ch6

The Mathematics of Infinity: A Guide to Great Ideas, Second Edition

The Mathematics of Infinity: A Guide to Great Ideas, Second Edition

How to Cite

Faticoni, T. G. (2012) Well-Ordered Sets, in The Mathematics of Infinity: A Guide to Great Ideas, Second Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118243879.ch6

Publication History

  1. Published Online: 26 APR 2012
  2. Published Print: 30 MAR 2012

ISBN Information

Print ISBN: 9781118204481

Online ISBN: 9781118243879

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Keywords:

  • well-ordered sets;
  • linear order;
  • rational number;
  • trichotomy property;
  • unique least element

Summary

This chapter contains sections titled:

  • Successors of Elements

  • Constructing Well-Ordered Sets

  • Cardinals as Ordinals

  • Magnitude versus Cardinality