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Math Help - False statement about the existence of a number

  1. #1
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    False statement about the existence of a number

    There exists a number, x, that is a real number such that for all real numbers, y, x = y + 1

    I know that this statement is false, but why? Would y = pi be a valid counterexample? Thanks in advance.
    Last edited by mr fantastic; March 13th 2010 at 05:07 PM. Reason: Changed post title
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  2. #2
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    First take y_1 = -1, for example. if x = y_1+1 then x = 0.
    Now take y_2 = 0. If  x = y_2+1 then x=1, but x=0 so that is a contradiction.
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