The Busted logic reference article from the English Wikipedia on 24-Apr-2004 (provided by Fixed Reference: snapshots of Wikipedia from wikipedia.org)

Busted logic

Busted logic is a term created by Jonathan Richman and Joshua Caplan to describe what happens in the following situation:

   Let x = 0

Therefore

   3x = 5x

As it is in an equation we can divide both sides by x, meaning:

   3 = 5

When A and B are any real or imaginary numbers this equation can be expressed as:

   Ax = Bx

    A = B

This extension allows all mathematical theories to be disproved.

This does not work when you convert the equation into real numbers you get 0 = 0 whatever the values of A and B.

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