Proof that 2 = 1
From Overcoming Bias, a proof that 2 is, in fact, equal to one. First let x = y = 1.
- x = y
- x2 = xy
- x2 - y2 = xy - y2
- (x + y)(x - y) = y(x - y)
- x + y = y
- 2 = 1
There is a simple flaw in this proof that an astute observer will identify, but it’s still good for cocktail parties and stumping children on the border of abstract reasoning! Wikipedia has a page on invalid proofs for 1 = -1, 2 = 1, -2 = 1 and &infinity; = 1/4, all of which seem mighty plausible.
