If we accept that there does indeed exist a set whose cardinality is between [itex]\aleph_0[/itex] and [itex]\aleph_1[/itex], what would such a set look like?(adsbygoogle = window.adsbygoogle || []).push({});

I know that in ZM-C we can choose to either add the continuum hypotheses or not, but if we chose to negate it, that means that there definitely is a set greater than the natural numbers but less than the real numbers... what would such a set look like? How could we construct it?

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# If the continuum hypothesis were false

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