Necessarily, in such a model the continuum hypothesis is false.
This is not yet the falsification of the continuum hypothesis.
The continuum hypothesis, which describes the size of certain infinite sets, is an example.
Cantor proposed the continuum hypothesis as a possible solution to this question.
More fundamentally, Hilbert's first problem was on the continuum hypothesis.
The continuum hypothesis still remains unresolved in an "absolute" sense.
That said, under the right circumstances, the continuum hypothesis produces extremely accurate results.
The proposition that is known as the continuum hypothesis.
Two famous statements in set theory are the axiom of choice and the continuum hypothesis.
His inability to prove the continuum hypothesis caused him considerable anxiety.