Beth number
= Beth number
{wiki=Beth_number}
In set theory, a **Beth number** is a hierarchy of infinite cardinal numbers that are used to describe the sizes of infinite sets. They are denoted by the symbol \\( \\beth \\) followed by a subscript indicating the ordinal number in the sequence. The definition of Beth numbers is as follows: 1. \\( \\beth_0 \\) is defined to be \\( \\aleph_0 \\), the cardinality of the set of natural numbers, which is the smallest infinite cardinal.