What is "aleph-null"

n. (context set theory English) 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''.

n. the smallest infinite integer [syn: aleph-nought, aleph-zero]