continuum hypothesis

== English == === Noun === continuum hypothesis (set theory) 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. 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." (physics, kinematics, continuum mechanics) The assumption, for the purposes of mathematical modelling, that the material being studied is a continuous mass rather than being composed of discrete particles. ==== Synonyms ==== (set theory): CH (abbreviation) (physics): continuum assumption ==== Derived terms ==== generalized continuum hypothesis ==== Translations ==== === Further reading === (set theory): Cardinality on Wikipedia.Wikipedia Aleph number on Wikipedia.Wikipedia Beth number on Wikipedia.Wikipedia Ω-logic on Wikipedia.Wikipedia (physics): Continuum mechanics on Wikipedia.Wikipedia Knudsen number on Wikipedia.Wikipedia