Invisible <voi### [at] devnull> wrote:
> On 20/09/2011 02:06 AM, Darren New wrote:
> > On 9/19/2011 11:20, Orchid XP v8 wrote:
> >> Fact is, 0 * infinity = 0, so it's not a sensible answer.
> >
> > I can't imagine how you can say dividing by zero is undefined, but then
> > go and define multiplying zero by infinity. :-)
>
> If you multiply *anything* by zero, the result is always zero. This
> isn't exactly news. We're not "defining" anything, we're just using the
> pre-existing definition of how multiplication by zero works.

You're wrong there. 0 * inf = 0 is indeed a definition as the result of the
left-hand side is undefined in the same manner as dividing by zero is (actually,
the concepts of multiplication and division are mathematically the very same
thing).
see, if you define 1/0 = inf, and treat 0 and inf as ordinary numbers, then 0 *
inf = 0/0 = 1 contrary to your claim. This contradiction is the result of using
inf as a number when, in fact, it isn't.

Regards Roman

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