On 9/20/2011 1:18 AM, Invisible wrote:
>> defining division by zero to be infinity is actually quite common
>> and very useful in some areas of mathematics, and it doesn't lead to
>> paradoxes if you modify arithmetic suitably.
>
> Well, sure. I mean, if you "modify arithmetic" such that "zero" actually
> means one, then division by zero becomes /perfectly/ sensible...

I'm not sure what you're arguing for with this straw-man example.  Are 
you claiming that allowing division by zero is not actually 
common/useful in some mathematical contexts?


> I've seen
> either the real line or the complex plane extended to include a "point
> at infinity".

Odd you mention these without looking up how division by is typically 
handled in such cases.

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