Time for a math riddle. Haven’t done these in a while. Well, haven’t done any in this blog, when I come to think about it. OK. That was enough thinking. Let’s get down to biusiness.
Take a point on the complex plane. Take one which is on the unit circle:
Now replace with . We get:
Which by the simple laws of arithmetic gives us:
So every point on the unit circle is 1!
As a simple consequence we get 1=-1. Add 1 on both sides and get 2=0.
Can you spot the error?