Beth number

In mathematics, the Hebrew letter leph (aleph) with various subscripts represents various infinite cardinal numbers (see aleph number). The second Hebrew letter eth (beth) is also used. To define the beth numbers, start by letting

Related Topics:
Mathematics - Hebrew letter - Aleph - Infinite - Cardinal number - Aleph number - Hebrew letter - Beth

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:eth_0=leph_0

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be the cardinality of countably infinite sets; for concreteness, take the set mathbb{N} of natural numbers to be the typical case. Denote by P(A) the power set of A, i.e., the set of all subsets of A. Then define

Related Topics:
Countably infinite - Set - Natural number - Power set

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:eth_{kappa+1}=2^{eth_kappa}

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