continuum hypothesis noun2 •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.In the end, it turned out that Cantor was unable to prove his continuum hypothesis precisely because it is unprovable. — 2015 •The assumption, for the purposes of mathematical modelling, that the material being studied is a continuous mass rather than being composed of discrete particles.Under the continuum hypothesis, the material being studied, whether it be solid liquid or gas, is assumed to be continuous. — 2002
