Abstract
Hellmann’s is yet another original direct proof of the general, set theoretic CBT. It was suggested by Hellmann in 1961 for its teaching advantages. The proof’s gestalt is new in the history of CBT, and it provokes some thoughts regarding teaching CBT.
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Notes
- 1.
Mańka-Wojciechowska (1984 p 191) express a similar view.
References
Hellmann M. A short proof of an equivalent form of the Schröder-Bernstein theorem. Am Math Mon. 1961;68:770.
Mańka R, Wojciechowska A. On two Cantorian theorems. Annals of the Polish Mathematical Society, Series II: Mathematical News. 1984;25:191–8.
Zermelo E. Über die Addition transfiniter Cardinalzahlen, Nachrichten von der Königlich Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse aus dem Jahre 1901;34–8.
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Hinkis, A. (2013). Hellmann’s Proof of CBT. In: Proofs of the Cantor-Bernstein Theorem. Science Networks. Historical Studies, vol 45. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0224-6_37
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DOI: https://doi.org/10.1007/978-3-0348-0224-6_37
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