continuum hypothesis


noun Mathematics.

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.

Origin of continuum hypothesis

First recorded in 1935–40

British Dictionary definitions for continuum hypothesis

continuum hypothesis

noun

maths the assertion that there is no set whose cardinality is greater than that of the integers and smaller than that of the reals