Abstract
Cantor’s continuum hypothesis states that the power of the linear continuum, the set of all real numbers, is equal to the power of the second class of transfinite numbers, i.e. the set of all countable transfinite numbers. In terms of the cardinal arithmetic this hypothesis states that 2N0 is equal to N1 Even though Cantor himself made a great effort to prove the statement, he never succeeded and it remained as a major problem in set theory at the tum of the century.
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© 1995 Kluwer Academic Publishers
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Alvarez Jimenez, C. (1995). Some Logical Remarks Concerning the Continuum Problem. In: Ramirez, S., Cohen, R.S. (eds) Mexican Studies in the History and Philosophy of Science. Boston Studies in the Philosophy of Science, vol 172. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0109-4_11
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DOI: https://doi.org/10.1007/978-94-009-0109-4_11
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6535-1
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