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Math Help - Proof of m > n in the Natural Numbers

  1. #1
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    Proof of m > n in the Natural Numbers

    For each n in the Naturals there exists m in the Naturals such that m > n.

    I'd really appreciate some help with the following proof. Thanks a bunch!
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  2. #2
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    Quote Originally Posted by jstarks44444 View Post
    For each n in the Naturals there exists m in the Naturals such that m > n.

    I'd really appreciate some help with the following proof. Thanks a bunch!


    Simply take the succesor of n...
    Tonio
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  3. #3
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    Can you please explain this? I don't know how to word what you are saying.... do I just introduce n+1?
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  4. #4
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    Have you shown that 0<1~?
    If so n<n+1.

    If not, what else can you use?
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  5. #5
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    I'm not sure what you are implying here, I am fairly sure we can make the conclusion that 0 < 1, but what does that lead to?
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  6. #6
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    Quote Originally Posted by jstarks44444 View Post
    I'm not sure what you are implying here, I am fairly sure we can make the conclusion that 0 < 1, but what does that lead to?
    Add n to both sides to get n<n+1.
    Now n+1 is an integer greater than n.
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