There is a lot going on at the moment - time for a short break. :)
I got this little riddle from a colleague, he told me it's a first semester math student standard.
We start with
a = b
multiplying with a we get
a^2 = ab
substracting b^2
a^2 - b^2 = ab - b^2
this is
(a+b) (a-b) = (a-b) b
now cancelling (a-b)
(a+b) = b
and as a=b (first line!)
a+a = a
hence 2a = a
or 2 = 1
Funny, isn't it :)
Have fun searching for the wrong statement.
