Re: infinity

Virgil said:
> In article <MPG.1d63f8ee2bf085798a02a@xxxxxxxxxxxxxxxxxxxxxxxxx>,
> Tony Orlow (aeo6) <aeo6@xxxxxxxxxxx> wrote:
>
> > David R Tribble said:
>
> > > Did I break any of your rules?
> > Yes. You declared all infinities equal,
>
> No, he merely declared all countably infinities countably infinite.
No, he declared them equal, and you agree, based on your statement below that
W-W=0. You are equating the number added to the number removed, which is false.
>
> > assumed you had some smallest
> > infinity,w hich is impossible,
>
> There is no infinite cardinality smaller than that of the naturals.
Perhaps not in cardinality, but there are certainly proper subsets of the
naturals which are smaller than the set of naturals in that sense.
>
> > and then claimed W-W=0,
>
> And has TO some weird arithmetic is which a thing minus itself is
> non-zero in some sense?
>
That is the point. Those two W's don't refer to the same infinity. The first is
ten times the second. The correct claim is that 10W-W=9W.
--
Smiles,

Tony
.

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