Definition of continuum hypothesis in English:

continuum hypothesis

Syllabification: con·tin·u·um hy·poth·e·sis


  • The assertion that there is no transfinite cardinal between the cardinal of the set of positive integers and that of the set of real numbers.
    More example sentences
    • In 1938, logician Kurt Godel proved that the continuum hypothesis is consistent with the standard axioms of set theory.
    • The main focus of the 1964 paper is the continuum hypothesis, an interesting case study for Godel's philosophical view.
    • In set theory he made important contributions to the axiom of choice and to the continuum hypothesis.

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