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单词 Aleph-0
释义

Aleph-0

The Set Theory symbol for a Set having the same Cardinal Number as the ``small'' InfiniteSet of Integers. The Algebraic Numbers also belong to .Rather surprising properties satisfied by include

(1)


(2)


(3)

where is any Finite Set. However,
(4)

where is the Continuum.

See also Aleph-1, Cardinal Number, Continuum, Continuum Hypothesis,Countably Infinite Set, Finite, Infinite, Transfinite Number, Uncountably Infinite Set
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更新时间:2024/11/15 2:10:45