Re: infinity

In article <MPG.1d6bdbd994a91d8998a0d8@xxxxxxxxxxxxxxxxxxxxxxxxx>,
Tony Orlow (aeo6) <aeo6@xxxxxxxxxxx> wrote:

> Virgil said:
> > In article <MPG.1d6a912aa38e5b9198a0b2@xxxxxxxxxxxxxxxxxxxxxxxxx>,
> > Tony Orlow (aeo6) <aeo6@xxxxxxxxxxx> wrote:
> >
> > > Jeremy Boden said:
> > > > In message <MPG.1d669e667385eb4798a08a@xxxxxxxxxxxxxxxxxxxxxxxxx>,
> > > > Tony Orlow <aeo6@xxxxxxxxxxx> writes
> > > >
> > > > <snip!>
> > > > >Because the countable infinities are not all the same size, as
> > > > >explained above, and many times before that.
> > > >
> > > > Do you mean that a countable infinity - w - is not a fixed
> > > > quantity?
> > > I mean there are different countable infinities, but we can choose a
> > > simplest one as a unit with which to compare others.
> >
> > Then TO must be defining "countable infinity" differently than anyone
> > else, and should cal it something different, since that phrase is
> > already bespoke.
> >
> > For anyone else 'countable infinity' is the cardinality of N, the
> > infinite set of finite naturals guaranteed to exist by the axioms.
> >
> > While there are sets other than N which are countably infinite, there is
> > no other countable infinity as a measure of size, since that cardinality
> > is shared by all countably infinite sets.
> >
> Okay, fine. "Countable" is a registered trademark of CantorCo.

Agreed. Perhaps TO could use "TOuntable" for his whatever it is.
.

Relevant Pages

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  • Re: infinity
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