Turing Compliant?
Stephan Houben
stephan at pcrm.win.tue.nl
Tue Sep 7 03:36:24 EDT 1999
"Tim Peters" <tim_one at email.msn.com> writes:
> [Graham Matthews, in the midst of explaining the conventional distinction
> between "unbounded" and "infinite" wrt Turing machines]
> > We won't even bring up that the cardinality of this set is even larger
> > than the simply unbounded enumerable sets.
>
> [Travis Oliphant}
> > I suppose I shouldn't go there but the infinitity of infinities is a
> > concept that has always enchanted me.
> >
> [William Tanksley]
> > Not to mention the number of infinities -- are there more than two of them
> > (countable and uncountable)? Cohen proved that the question isn't
> > answerable
>
> Don't go provoking Uncle Timmy into joining a thread, or c.l.py will never
> have peace again.
<History of modern mathematics snipped.>
If you think all this is infinitely cool, go and read:
"Infinity and the Mind" by Rudy Rucker.
Popular scientific book on all kinds of infinity: mathematical,
physical and otherwise.
And remember:
There are infinitely more forms of infinities than even an unbounded
thread on comp.lang.python can discuss.
Infinitely yours,
Stephan
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