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Theorem : All numbers are equal to zero.
Proof: Suppose that a=b. Then
a = b
a^2 = ab
a^2 - b^2 = ab - b^2
(a b)(a - b) = b(a - b)
a b = b
a = 0
Furthermore if a b = b, and a = b, then b b = b, and 2b = b, which mean that 2 = 1. - in Math Jokes
Theorem: 1 = 1/2:
Proof:
We can re-write the infinite series 1/(1*3) 1/(3*5) 1/(5*7) 1/(7*9)
...
as 1/2((1/1 - 1/3) (1/3 - 1/5) (1/5 - 1/7) (1/7 - 1/9) ... ).
All terms after 1/1 cancel, so that the sum is 1/2.
We can also re-write the series as (1/1 - 2/3) (2/3 - 3/5) (3/5 - 4/7)
(4/7 - 5/9) ...
All terms after 1/1 cancel, so that the sum is 1.
Thus 1/2 = 1. - in Math Jokes