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Topic: Infinity: The Story So Far
Replies: 16   Last Post: Mar 7, 2014 8:31 AM

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mueckenh@rz.fh-augsburg.de

Posts: 18,076
Registered: 1/29/05
Re: Infinity: The Story So Far
Posted: Mar 6, 2014 6:49 AM
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On Wednesday, 5 March 2014 23:06:58 UTC+1, Virgil wrote:
> In article <lf83m8$tqh$1@news.albasani.net>,
>
> Peter Percival <peterxpercival@hotmail.com> wrote:
>
>
>

> > Virgil wrote:
>
> > > In article <4cfd9bb3-5708-4ed7-9285-e2735a4fcd85@googlegroups.com>,
>
> > > mueckenh@rz.fh-augsburg.de wrote:
>
> > >
>
> > >> But he claimes that the Peano-axioms supply the natural numbers of formal
>
> > >> mathematics. So the natural numbers of formal mathematics are:
>
> > >> 1, -10, 100, -1000, ...
>
> > >
>
> > > Only in wierd places like WM's wild weird world of WMytheology.
>
> > > Elsewhere, the successor operation is denoted by adding one.
>
> >
>
> > I don't think that is correct.
>
>
>
>
>
> In abstract induction it need not be, but in the standard set of
>
> naturals, which is what WM is arguing about, it most assuredly is.


I am not arguing about |N. I know it! I am asking whether the Peano axioms define |N.

Regards, WM



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