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Thread: aleph-naught

  1. #1
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    aleph-naught

    Why aleph-naught (or aleph-null) is smallest power of the infinity?
    Is the an explanation to that?
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  2. #2
    MHF Contributor
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    Re: aleph-naught

    It is the direct consequence of the following theorem:

    Any set of integers is either finite or has cardinality $|\mathbb{N}|=\aleph_0$.

    I leave the proof to you as it is fairly straightforward.
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