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Sets, functions, and the continuum hypothesis

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Proofs from THE BOOK

Abstract

Set theory, founded by Georg Cantor in the second half of the last century, has profoundly transformed mathematics. Modern day mathematics is unthinkable without the concept of a set, or as David Hilbert put it: “Nobody will drive us from the paradise (of set theory) that Cantor has created for us.”

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References

  1. L. E. J. Brouwer: Beweis der Invarianz der Dimensionszahl, Math. Annalen 70 (1911), 161–165.

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  2. P. Erdós: An interpolation problem associated with the continuum hypothesis, Michigan Math. J. 11 (1964), 9–10.

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  3. E. Kamke: Theory of Sets, Dover Books 1950.

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© 1998 Springer-Verlag Berlin Heidelberg

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Aigner, M., Ziegler, G.M. (1998). Sets, functions, and the continuum hypothesis. In: Proofs from THE BOOK. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-22343-7_16

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  • DOI: https://doi.org/10.1007/978-3-662-22343-7_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-22345-1

  • Online ISBN: 978-3-662-22343-7

  • eBook Packages: Springer Book Archive

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