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Math Help - Unbounded functions from N to N .

  1. #1
    MHF Contributor Also sprach Zarathustra's Avatar
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    [SOLVED ]Unbounded functions from N to N .

    Hello!

    Can someone please explain me why a family of unbounded functions from N to N is uncountable?




    Thank you very much!
    Last edited by Also sprach Zarathustra; November 23rd 2012 at 03:11 AM. Reason: Solved.
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  2. #2
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    Re: Unbounded functions from N to N .

    Because there is an injection from 2^{\mathbb{N}} to the set of unbounded functions.
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