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continuum hypothesis

Line breaks: con|tinuum hy¦poth|esis

Definition of continuum hypothesis in English:

noun

Mathematics
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.
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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