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Math Help - Russels Paradox doesn't Exist

  1. #1
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    Russells Paradox doesn't Exist

    Russell’s Paradox: (xϵx) iff (xϵ’x)

    If ϵ is different than =, xϵx is not true for any x and xϵ’x is true for all x. Therefore:

    1) The left side of Russell’s Paradox does not exist, and so neither does the paradox.

    2) There is no such thing as xϵx.


    EDIT Think of it like Somebody's Paradox: (x<x) iff (x<'x). (x<x) doesn't exist because < is different than =.

    (' means not)
    Last edited by Hartlw; March 4th 2013 at 07:20 AM.
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  2. #2
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    Re: Russells Paradox doesn't Exist

    This really belongs to the other thread on Russel's Paradox that you started.

    -Dan
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