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Beth number
Ordered sequence of transfinite numbers used to represent the cardinality (or size) of continuous sets
In mathematics, particularly in set theory, the beth numbers form a certain (unset) sequence of infinite cardinal numbers (also known as transfinite numbers), conventionally written ℶ 0 , ℶ 1 , ℶ 2 , ℶ 3 , … {\displaystyle \beth _{0},\beth _{1},\beth _{2},\beth _{3},\dots } , where ℶ {\displaystyle \beth } is the Hebrew letter beth. The beth numbers are related to the aleph numbers ( ℵ 0 , ℵ 1 , … {\displaystyle \aleph _{0},\aleph _{1},\dots } ), but unless the generalized continuum hypothesis is true, there are numbers indexed by ℵ {\displayst...
From Wikipedia
In mathematics, particularly in set theory, the beth numbers form a certain (unset) sequence of infinite cardinal numbers (also known as transfinite numbers), conventionally written ℶ 0 , ℶ 1 , ℶ 2 , ℶ 3 , … {\displaystyle \beth _{0},\beth _{1},\beth _{2},\beth _{3},\dots } , where ℶ {\displaystyle \beth } is the Hebrew letter beth. The beth numbers are related to the aleph numbers ( ℵ 0 , ℵ 1 , … {\displaystyle \aleph _{0},\aleph _{1},\dots } ), but unless the generalized continuum hypothesis is true, there are numbers indexed by ℵ {\displaystyle \aleph } that are not indexed by ℶ {\displaystyle \beth } . On the other hand, beth numbers are cofinal (every cardinal number is less than a beth number) in plain Zermelo-Fraenkel set theory.
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