One Equals Zero

Proving 1=0, 2=1, and so on...

     Here is a pretty tricky proof that I've come across several times. It basically proves that a+b=a, which would mean that 1+0=0, 1=0, 2=1, and so on.

     I know very well how to prove this wrong, but do you?

a = b

ab = b²

ab - a² = b² - a²

a(b - a) = (b + a)(b - a)

a = b + a

If a and b are 1, then 1 = 1 + 1

1 = 2

0 = 1

Last updated September 26, 2006
 

42 is a reference to the "answer to the Ultimate Question of Life, the Universe, and Everything" found in the novels of The Hitchhiker's Guide to the Galaxy series by Douglas Adams.