Aleph-null Definition

älĕf-nŭl, -ləf-
noun
The first of the transfinite cardinal numbers. It corresponds to the number of elements in the set of positive integers.
American Heritage
In the theory of sets, the smallest infinite cardinal number; the cardinal number of the set of all positive integers: symbol, א0
Webster's New World
Synonyms:
  • aleph-zero
  • aleph-nought
pronoun

(set theory) The first of the transfinite cardinal numbers; corresponds to the number of positive integers, also called natural numbers. Georg Cantor showed that even all the rational numbers could be put in one-to-one correspondence with them, and are therefore countable, enumerable or denumerable.

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