Strong limit cardinal is defined as some cardinal that cannot be reached by power set operation - but $2^{\aleph_0}$, strong limit cardinal, can be reached by power set of $\aleph_0$! So there must be something I am misunderstanding.
2026-04-12 03:52:00.1775965920
Strong limit cardinal - power set operation
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$\beth_1=2^{\aleph_0}$ is not a strong limit cardinal. $\beth_0=\aleph_0$ is a strong limit cardinal, as is $\beth_\omega$; see here.