n6,
Cantor's Continuum Hypothesis was that 2aleph-0=aleph-1.
What hasn't been determined is whether or not this is true, hence the title "hypothesis."
What has been determined is that granting it true we resolve one model of mathematics and granting it false we resolve another. Both models are equally true, in a vague sense. It helps to remember we are only dealing with a priori frameworks and not physical things (or are we is it right to pose unanswerable hypothesis when describing unanswerable hypotheses??).
At this point we are faced with an aesthetic decision whether we want a simplified model or a more elegant one.