Re: Relative Cardinality

In article <1120994946.238614.40010@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
mueckenh@xxxxxxxxxxxxxxxxx wrote:

> Virgil wrote:
>
> > > Recently we had a proof that sqrt(2) is not rational. We should
> > > concentrate on more general problems: It is impossible to label more
> > > than 10^100 entities by all particles the univese supplies. Therefore
> > > there cannot exist a set with more than 10^100 elements and we cannot
> > > count up to 10^10^100.
> >
> > What happens in the physical world does not govern what happens in an
> > axiom system. Such systems are not subject to any physical limitations
> > but only the limitations of what the axioms themselves state and the
> > imaginations of those who investgate them.
>
> Two elements of a set must differ by at least one property.

"Properties" are ideas, and non-physical.
.