Steve Dirickson wrote:

> > Since it's a Saturday afternoon I'll ask the questions I've
> > always wondered about.
> >
> > Is infinity minus infinity = zero, infinity or undefined?
> >
> > Is infinity divided by infinity = one, infinity or undefined?
> >
> > Is negative infinity plus positive infinity = 0, negative
> > infinity, positive infinity, both or undefined?
>
> Since infinity (more specifically, aleph-null in this context) is not
> a number, applying an algebraic operator to it is meaningless; none of
> these operations are defined.
>
> * To join/leave the list, search archives, change list settings, *
> * etc., please visit http://raven.utc.edu/archives/hp3000-l.html *

Steve,


Who says Michael is speaking of Aleph-null, he did not mention that we
were dealing with integers. Aleph-null is to me
the quantity of all possible integers. In real number theory there are
more reals than integers, so there are more projections on
infinity.

In the case of a Riemann projection of the complex plane there is only
one point infinity, that has a "infinit" number of projections to the
complex plane. In that case the operator can be defined, but the result
is undefined for a general case.


--
Regards,

Jan Gerrit Kootstra
PinkRoccade Online
[These opinions and remarks are my own, and may not reflect our company policies.]

* To join/leave the list, search archives, change list settings, *
* etc., please visit http://raven.utc.edu/archives/hp3000-l.html *