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## Main Question or Discussion Point

The other day our lecturer was going through field axioms, rules of numbers, I guess what you'd call very elementary number theory. In particular, he was explaining what you can and can't do with ∞, and he mentioned that x/∞=0.

I guess I'd just like some clarification on this. Should this not imply that 0∞=x? Why can we divide by infinity but not by zero? Is this just "how it is"?

One interpretation that makes sense to me is that infinity doesn't "go" into any number, no matter how large: is this what the expression really means?

Help appreciated :)

I guess I'd just like some clarification on this. Should this not imply that 0∞=x? Why can we divide by infinity but not by zero? Is this just "how it is"?

One interpretation that makes sense to me is that infinity doesn't "go" into any number, no matter how large: is this what the expression really means?

Help appreciated :)