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:
10/1=10
10/0.5=20
10/0.00000000001=1,000,000,000,000
etc.
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?