Some accept generalized continuum hypothesis has no known counterexamples, but this doesn't mean we must accept it.
22.
Vaught's conjecture, named after Robert Lawson Vaught, says that this is true even independently of the continuum hypothesis.
23.
The major results motivating this are Parovicenko's theorems, essentially characterising its behaviour under the assumption of the continuum hypothesis.
24.
There is a debate between supporters of the idea of a sudden emergence of intelligence, or " continuum hypothesis.
25.
Can I use the continuum hypothesis, or can a body be considered rigid, or even as a point mass?
26.
Whether the Generalized Continuum Hypothesis implies the existence of an 5 ! 2-Suslin tree, is a longstanding open problem.
27.
By the continuum hypothesis, it is possible to enumerate them as " S " ? for countable ordinals ?.
28.
A direct product of countably many fields has global dimension 2 if and only if the continuum hypothesis holds.
29.
At the 1904 ICM Gyula KQnig delivered a lecture where he claimed that Cantor's famous continuum hypothesis was false.
30.
In the 1960s, Cohen proved that neither is provable from ZF, and the continuum hypothesis cannot be proven from ZFC.
