Re: infinity
- From: Tony Orlow (aeo6) <aeo6@xxxxxxxxxxx>
- Date: Mon, 22 Aug 2005 10:17:44 -0400
David R Tribble said:
> snapdragon31 wrote:
> >> Actually it is impossible for the second minute to be reached.
> >> The process in the second minute definitely will not be able to
> >> empty the vase because oo - anything = oo.
> >
> David R Tribble said:
> >> Actually, any of these can be true, depending upon what 'x' is:
> >> oo - x = 0
> >> oo - x = oo
> >> oo - x = -oo
> >> oo - x = finite y
> >> oo - x = unknown
> >> That's why we say that it's undefined.
> >
> Tony Orlow (aeo6) wrote:
> > Yes, and that's one of my most un-favorite words in mathematics. If we
> > defined what we are talking about better, then it wouldn't be
> > undefined.
>
> Wow. You just define all the undefinedness of it away, presto
> change-o, just like that.
Uh huh.
>
> > So, we define a unit infinity....
>
> Which, when we subtract any x, is equal to ... what?
> If it's now well defined, surely only one of the answers above
> is now the correct one?
oo-x. Any point int he infinite expanse can be used as an origin.
>
> Are we also allowed to define the meaning of x/0 as well, so that
> all of our limits and divergences that previously resulted in
> undefined values now equal the correct number?
>
>
Uh huh. x/0=x*oo. Yeeha! You just have to be careful you are talking about the
same unit oo. It's not all that hard.
--
Smiles,
Tony
.
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