Definition of continuum hypothesis in English:

continuum hypothesis

Line breaks: con|tinuum hy¦poth|esis

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.
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.

Definition of continuum hypothesis in:

Get more from Oxford Dictionaries

Subscribe to remove adverts and access premium resources

Word of the day epyllion
Pronunciation: ɪˈpɪlɪən
noun
a narrative poem resembling an epic in style...