Re: abundance of irrationals!)


Virgil wrote:

> >
> > But there is no proof that this Card(N) is a meaningful notion at
all.
>
> The definition of 'cardinality' is an equivalence class under the
> equivalence relation of being in one to one correspondence (having a
> bijection from one to the other).
>
> Thus any set has a well defined cardinality.
>
Obviously this is a meaningless and self-contradictive definition,
which easily cshould be abandoned because it (and the actual existence
of any infinite set) does not follow from any axiom.

Regards, WM

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