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?  It's undefined. What did you expect? A miracle, perhaps?
There's a reason your first year Calculus prof made your life
miserable with epsilons and deltas (and if she didn't, there's a
reason she should have done). Some things are numbers: 0, 17,
0.1234567891011121314..., pi. But not everything is a number;
some things just aren't: a banana, a dodecahedron, "1 divided by
zero". When we call something a number, we expect to be able to
perform various operations on it. Deep, complex, mathematical
operations like additi