A nice, simple paradox, which manages to completely confuse mathematical theory. Most people would agree with the following statements:

1. Anything divided by zero is infinity. This is obvious when you start dividing a number by increasingly smaller numbers. eg:


2. Zero multiplied by anything is zero. Therefore, it follows that zero divided by anything is zero, since division by n is the same as multiplication by 1/n. i.e. 0/2=0 X 1/2 = 0

So, here's the paradox: What is zero divided by zero?