Date: Jan 23, 2013 11:46 AM
Author: ross.finlayson@gmail.com
Subject: Re: ZFC and God
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