So I was in the shower today...

[Zack]

If you think division with 0 is valid [and infinite]:
When graphing y=1/x
For x<0 and growing towards 0, y grows to negative infinity.
For x>0 and shrinking(?) towards 0, y grows to positive infinity.
Would y, for x=0, be positively or negatively infinite?

It would be both: Y would exist on all possible points of the Y axis, from 0 to positive infinity, and from 0 to negative infinity.

Please, let's not debate this any further. It's not worth my time. Let's just assume that when someone's talking about infinite energy that they mean a really big number.

100% wrong. The curve never intersects the Y axis, and it certainly doesn't at Y=0!
It just doesn't make sense to say that the x or y axis is intersected "at infinity." Infinity is the concept of a never-ending number, so it can never be reached.

[EDIT]LooseCaboose, here's another violation involved with division by zero. n/n=1, so if n=0, n/n=1. But 0/n always equals 0, so...n=1 or n=0. Of course it should be corrected to n/n=1, n≠0.