English

Beth number

In mathematics, the beth numbers are a certain sequence of infinite cardinal numbers, conventionally written ℶ 0 ,   ℶ 1 ,   ℶ 2 ,   ℶ 3 ,   … {displaystyle eth _{0}, eth _{1}, eth _{2}, eth _{3}, dots } , where ℶ {displaystyle eth } is the second Hebrew letter (beth). The beth numbers are related to the aleph numbers ( ℵ 0 ,   ℵ 1 ,   … {displaystyle aleph _{0}, aleph _{1}, dots } ), but there may be numbers indexed by ℵ {displaystyle aleph } that are not indexed by ℶ {displaystyle eth } . In mathematics, the beth numbers are a certain sequence of infinite cardinal numbers, conventionally written ℶ 0 ,   ℶ 1 ,   ℶ 2 ,   ℶ 3 ,   … {displaystyle eth _{0}, eth _{1}, eth _{2}, eth _{3}, dots } , where ℶ {displaystyle eth } is the second Hebrew letter (beth). The beth numbers are related to the aleph numbers ( ℵ 0 ,   ℵ 1 ,   … {displaystyle aleph _{0}, aleph _{1}, dots } ), but there may be numbers indexed by ℵ {displaystyle aleph } that are not indexed by ℶ {displaystyle eth } .

[ "Zermelo–Fraenkel set theory", "Equinumerosity", "Cardinality of the continuum", "Ordinal arithmetic", "Cardinal number", "Axiom of choice" ]
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