# ℶ

## ℶ - Translingual

### Symbol

(English symbol name beth)

1. (set theory) Symbol for the cardinality of an infinite set in a iterative hierarchy of power sets, starting with ℵ₀. Usually indexed by an ordinal number.
• ${\beth }_{0}={\aleph }_{0}$, ${\beth }_{\alpha +1}={2}^{{\beth }_{\alpha }},$ and ${\beth }_{\lambda }=sup\left\{{\beth }_{\alpha }:\alpha <\lambda \right\}$ for a limit ordinal λ.

#### Usage notes

Unicode has two code points for the Hebrew letter beth. For Hebrew text, ב should be used. This character should be used for the mathematical symbol since it retains the left-to-right orientation of the text.