Thread: 1 = 2
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Old 03-02-2005, 12:05 PM   #6 (permalink)
a-j
Tilted
 
Quote:
Originally Posted by Slavakion
Code:
a = b and b > 0

       a = b                           * b
      ab = b^2                         -a^2
ab - a^2 = b^2 - a^2
a(b - a) = (b + a) (b - a)           /(b - a)
       a = (b + a)
       a = a + a
       a = 2a

Ok I've given this more though, and I think you haven't actually proved that 1 = 2, you have "proved" that a = 2a. You can't just substitute whatever you want into a. You need to solve for a, and you end up with a=0 and hence b=0. Since you are assuming b > 0, then your proof is contradictory so either your assumptions were incorrect or your logic is incorrect.
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