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Set Theory: Taming the Infinite

  • Reinhard Laubenbacher
  • David Pengelley
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

“I see it, but I don’t believe it!” This disbelief of Georg Cantor in his own creations exemplifies the great skepticism that his work on infinite sets inspired in the mathematical community of the late nineteenth century. With his discoveries he single-handedly set in motion a tremendous mathematical earthquake that shook the whole discipline to its core, enriched it immeasurably, and transformed it forever. Besides disbelief, Cantor encountered fierce opposition among a considerable number of his peers, who rejected his discoveries about infinite sets on philosophical as well as mathematical grounds.

Keywords

Ordinal Number Order Type Cardinal Number Continuum Hypothesis Large Cardinality 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Reinhard Laubenbacher
    • 1
  • David Pengelley
    • 1
  1. 1.Department of Mathematical SciencesNew Mexico State UniversityLas CrucesUSA

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