Re: infinity
- From: Tony Orlow <aeo6@xxxxxxxxxxx>
- Date: Thu, 29 Sep 2005 14:22:35 -0400
Virgil said:
> In article <MPG.1da4b2a483ce0d7698a3b3@xxxxxxxxxxxxxxxxxxxxxxxxx>,
> Tony Orlow <aeo6@xxxxxxxxxxx> wrote:
>
> > David R Tribble said:
> > > Tony Orlow wrote:
> > > > The range as maximum possible difference cannot be specified
> > > > without specification of the bounds of the set, but in any case, the
> > > > maximum
> > > > possible difference is not infinite if no differences can possibly be
> > > > infinite.
> > >
> > > Can the maximum possible difference be unbounded if the differences
> > > between any members are unbounded?
> > >
> > >
> > I would say so, yes. The range of the finite naturals is an unboundedly large
> > finite value.
>
> Unboundedly large finite value?
>
> Such a thing is an ultimate oxymoron. Every finite value is its own
> bound, so that no value can be simultaneously finite and unbounded.
>
> Any system, like TOmatics, that depends on the existence of such
> impossibilities is thereby self-contradictory, and thus mathematically
> useless.
>
Hmmm you didn't object when David Tribble, I believe it was, used the same
phrase. Funny.
--
Smiles,
Tony
.
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