Theorem: 1 = 0

Theorem: 1 = 0 = -1/2
Proof:
Consider the infinite series: 1 - 1 + 1 - 1 + 1 - 1 + 1 -1 + 1 ...
Pair the terms:
a) (1 - 1) + (1 - 1) + (1 - 1) + ... = 0
Pair the terms differently:
b) 1 - (1 - 1) + (1 - 1) + (1 - 1) + ... = 1
Combine a) and b):
1 = 0
From: ad@dcs.st-and.ac.uk (Tony Davie)

c) -S = -1 + 1 - 1 + 1 - ...
= 1 + S
So 2S = -1 and S = -1/2
combine with a) and b):
1 = 0 = - 1/2

Rating: 4/10