Turing Compliant?

[Travis Oliphant]

> On 6 Sep 1999 23:22:23 GMT, Aahz Maruch wrote:
> >Charles G Waldman  <cgw at fnal.gov> wrote:
> >>jhefferon at my-deja.com writes:
> 
> >>> Not infinite.  Unbounded.
> 
> >>I'd be interested to hear what the difference is, according to you,
> >>between "infinite" and "unbounded".  According to me, they are the
> >>same thing.  "finite"=="bounded" => !finite==!bounded. 
> 
> >Consider the real numbers in the range 0.0 through 1.0.  They are
> >bounded but infinite.
> 
> ...but he's speaking of memory, an item which has to be enumerated in
> order to be measured.  Thus, unbounded memory is infinite memory.
> 
> Oh, and for an equally technical nit-pick: contrary to your claim, none of
> the numbers in the range between 0.0 and 1.0 are infinite.  The
> cardinality of the set, OTOH, is infinite and unbounded.

We won't even bring up that the cardinality of this set is even larger
than the simply unbounded enumerable sets.

I suppose I shouldn't go there but the infinitity of infinities is a
concept that has always enchanted me.

Travis