[NBLUG/talk] OT division by zero OT

[Andru Luvisi]

On Fri, 30 May 2003, mrp wrote:
[snip]
> One of the weirdest aspects of infinity is that there are at least 3 different
> values of infinity, and some are bigger than others.  They're known as
> Aleph_0, Aleph_1 and Aleph_2.  I'm not good enough at transfinite math
> to know if there are more than that. (Aleph is the first letter of the hebrew
> alphabet, and by that time the Latin and Greek alphabets had been used many
> times over for other "constants", so somebody started in on Hebrew.)
[snip]

There are more than that.  I remember seeing a proof that the set of all
subsets of set S is larger than the set S, although I do not remember the
proof.  What this means is that you can get something bigger than Aleph_2
by taking the set of all subsets of Aleph_2, and so on.  There is at least
an infinite number of different sized infinities.  I don't remember
whether or not there is an uncountable number of infinities.

Anyone know if the set containing all sets that do not contain themselves
contains itself?  Heh heh heh...

Andru
-- 
Andru Luvisi, Programmer/Analyst

Quote Of The Moment:
  If you tell the truth you don't have to remember anything.
                  -- Mark Twain