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Banach’s Proof of CBT

  • Arie HinkisEmail author
Chapter
Part of the Science Networks. Historical Studies book series (SNHS, volume 45)

Abstract

In 1924, 42 years after Cantor had first mentioned CBT, and after over 15 published proofs, Banach offered a new proof, with new gestalt and new metaphors.

Keywords

Arbitrary Element Equal Power Original Proof Previous Proof Inverse Inclusion 
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.

References

  1. Banach S, Tarski A. Sur la décomposition des ensembles de points en parties respectivement congruentes. Fund Math. 1924;6:244–77.Google Scholar
  2. Kőnig D. Sur les correspondence multivoque des ensemble. Fund Math. 1926a;8:114–34.Google Scholar
  3. Kőnig J. Sur le théorie des ensemble. Comptes Rendus Hebdomedaire des Séances de l’Academie des Science, Paris. 1906;143:110–2.Google Scholar
  4. Mańka R, Wojciechowska A. On two Cantorian theorems. Annals of the Polish Mathematical Society, Series II: Mathematical News. 1984;25:191–8.zbMATHGoogle Scholar
  5. Zermelo E. Untersuchungen über die Grundlagen der Mengenlehre. I. Mathematische Annalen 1908b;65:261–81. English translation: van Heijenoort 1967. pp. 199–215.Google Scholar

Copyright information

© Springer Basel 2013

Authors and Affiliations

  1. 1.The Cohn Institute for the History and Philosophy of Science and IdeasTel Aviv UniversityTel AvivIsrael

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