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The hypothesis which states that any infinite subset of R must have the cardinality of either the set of natural numbers or of R itself.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, sciences, set-theory
Examples
- 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, After 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."
Meaning relationships
Synonyms: none provided
Antonyms: none provided
The assumption, for the purposes of mathematical modelling, that the material being studied is a continuous mass rather than being composed of discrete particles.
Definition source: English Wiktionary via Wiktextract
Qualifier: continuum mechanics
Topics: natural-sciences, physical-sciences, physics
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
No etymology was provided for this word.
Across languages
Translations
5 source translations are retained for this English entry.
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Dutch:
continuümhypothese
— hypothesis that there is no cardinality between that of Z and that of R
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Hungarian:
kontinuumhipotézis
— hypothesis that there is no cardinality between that of Z and that of R
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Icelandic:
samfellutilgátan
— hypothesis that there is no cardinality between that of Z and that of R
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Polish:
hipoteza continuum
— hypothesis that there is no cardinality between that of Z and that of R
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Polish:
hipoteza continuum
— assumption that the material being modelled is a continuous mass
