An aleph number is any of a sequence of numbers used to
represent the cardinality of infinite sets, denoted by the Hebrew
letter aleph.
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Sets are classified according to their cardinality: a measure of
the number of elements that it contains.
The cardinality of a set may be finite, aleph-null or
aleph-one.
Aleph-null is the number of integers (or rational numbers).
Aleph-one
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The number of rationals is Aleph-null.
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An aleph-one is the second of the transfinite cardinal numbers,
which, according to the continuum hypothesis, corresponds to the
number of real numbers.