Questions about the generalized continuum hypothesis.
Questions about the generalized continuum hypothesis (GCH).
Generalized continuum hypothesis says that $\aleph_{\alpha+1}=2^{\aleph_\alpha}$ for every ordinal $\alpha$. GCH significantly simplifies cardinal exponentiation.
GCH is known to be independent of ZFC. (Both GCH and its negation are relatively consistent.)