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Math Help - [SOLVED] Natural Numbers

  1. #1
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    [SOLVED] Natural Numbers

    How could i show that N has no maximum?
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    Hello,
    Quote Originally Posted by jzellt View Post
    How could i show that N has no maximum?
    Suppose N has a maximum, p, which belongs to N.

    So for any n in N, n \leq p

    Now, consider n+p, for any n in N. It's an integer so it belongs to N, and it's obviously greater than p. This is a constradiction
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