ℶ
ℶ - Translingual
Symbol
ℶ ( English symbol name beth )
( 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.
ℶ
0
=
ℵ
0
{\displaystyle \beth _{0}=\aleph _{0}}
,
ℶ
α
+
1
=
2
ℶ
α
,
{\displaystyle \beth _{\alpha +1}=2^{\beth _{\alpha }},}
and
ℶ
λ
=
sup
{
ℶ
α
:
α
<
λ
}
{\displaystyle \beth _{\lambda }=\sup\{\beth _{\alpha }:\alpha <\lambda \}}
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.
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