aleph-zero

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Noun1.aleph-zero - the smallest infinite integer
aleph-nought, aleph-null
large integer - an integer equal to or greater than ten
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Cantor called the lowest number aleph-zero. It counts all rational numbers--the natural numbers 1, 2, 3, ...
Cantor was able to show that aleph-one, the next higher number to aleph-zero, counted sets that could not be put into one-to-one correspondence with the rational numbers.
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