See continuum hypothesis in All languages combined, or Wiktionary
Download JSON data for continuum hypothesis meaning in English (5.7kB)
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"text": "In other words, it is consistent with the axioms to suppose that the continuum hypothesis is false. (It had been known for some time — see below — that it is consistent with the axioms of set theory to suppose that CH is true.)",
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"text": "2013, Kenneth Reinhard, Introduction, Susan Spitzer (translator), Alain Badiou, The Incident at Antioch: A Tragedy in Three Acts / L’Incident d’Antioche: Tragédie en trois actes, Columbia University Press, page xxxiii,\nAfter all, when Paul Cohen sent his proof of the undecidability of the continuum hypothesis (which Badiou considers an “event”) to Kurt Gödel in 1963, Gödel wrote back that “reading your proof had a similarly pleasant effect on me as seeing a good play.\""
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"ref": "2015, R. Bruce Elder, DADA, Surrealism, and the Cinematic Effect, Wilfrid Laurier University Press, page 582",
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"ref": "2012, Clemens Chan-Braun, Turbulent Open Channel Flow, Sediment Erosion and Sediment Transport, KIT Scientific Publishing, page 7",
"text": "A measure for when the continuum hypothesis can be considered appropriate is the Knudsen¹ number, Kn, which is defined as the ratio of a characteristic molecular length scale, e.g., the mean free path of molecules, and a characteristic length scale of macroscopic flow properties, e.g. a length scale of the smallest scales of fluid motion.",
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-10 from the enwiktionary dump dated 2024-05-02 using wiktextract (a644e18 and edd475d). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
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