Beth number
= Beth number
{title2=$\beth_\alpha$}
{wiki}
The <cardinal numbers> defined by $\beth_0=\aleph_0$, $\beth_{\alpha+1}=2^{\beth_\alpha}$, and $\beth_\lambda=\sup_{\alpha<\lambda}\beth_\alpha$ at <limit ordinals> are the beth numbers. In particular $\beth_1=|\mathcal P(\omega)|$, the <cardinality> of the continuum. This notation distinguishes iterated <power sets> from the enumeration by <Aleph numbers> of well-orderable infinite <cardinal numbers>.