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单词 Countably Infinite Set
释义

Countably Infinite Set

Any Set which can be put in a One-to-One correspondence with the Natural Numbers(or Integers), and so has Cardinal Number . Examples of countable sets include theGeorg Cantor showed thatthe number of Real Numbers is rigorously larger than a countably infinite set, and the postulatethat this number, the ``Continuum,'' is equal to Aleph-1 is called the ContinuumHypothesis.

See also Aleph-0, Aleph-1, Cantor Diagonal Slash, Cardinal Number, Continuum Hypothesis,Countable Set
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更新时间:2025/4/8 18:18:08