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Re: ZFC and God
Posted:
Jan 23, 2013 11:46 AM
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On Jan 23, 3:47 am, "Jesse F. Hughes" <je...@phiwumbda.org> wrote:
> ...
> I take it that this new tack is so that you don't have to concede the
> point: there is no mathematical publication which claims that the
> above union contains elements larger than any natural, nor any
> publication which claims that this is what it means to be infinite.
>
> If you want to discuss paths in trees, we must first finish this
> point.
>
> --
> Jesse F. Hughes
>
> "Two years from now, spam will be solved."
> -- Bill Gates, Jan 24, 2004
Usenet is a rather poor publishing medium, but Muckenheim won't be the
first to suggest, in writing, that the natural numbers are a continuum
and have infinite elements.
For example, in a theory where only finite sets are regular, the set
of all of them contains itself: this is well-known as Russell's
paradox.
As well where the hyperintegers model the integers, those are
hyperfinite. This is in print.
That's not to discount Boucher's F nor Paris and Kirby's non-standard,
countable, natural integers.
Usenet is a rather poor publishing mechanism.
Regards,
Ross Finlayson
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