ALL meanings of continuum hypothesis
con·tin·u·um hy·poth·e·sis
C c - noun continuum hypothesis the assertion that there is no set whose cardinality is greater than that of the integers and smaller than that of the reals 3
- noun continuum hypothesis a conjecture of set theory that the first infinite cardinal number greater than the cardinal number of the set of all positive integers is the cardinal number of the set of all real numbers. 1
- 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. 0