Date: Jan 25, 2013 2:45 AM
Author: mueckenh@rz.fh-augsburg.de
Subject: Re: ZFC and God

On 25 Jan., 01:23, Virgil <vir...@ligriv.com> wrote:
> In article
> <1bff3260-2afe-4cb5-b296-cbfcd9313...@x3g2000yqo.googlegroups.com>,
>
>  WM <mueck...@rz.fh-augsburg.de> wrote:

> > On 24 Jan., 21:43, Virgil <vir...@ligriv.com> wrote:
>
> > > > > U_n {1,...,n} is not infinite. (*)
>
> > > > It is not actually infinite. The cardinality is not larger than every
> > > > n.

>
> > > Then there must be some n that it is not larger than.
>
> > > Either
>
> > There can be every n. Because no n is infinite!
>
> If there can be "every n", then there can be set containing "every n".


There can be the set of all terminating decimal fractions (0. d_1,
d_2, ..., d_n), containing every n as the last digit, is a set without
non-terminating decimal fraction, isn't it?
>
>
>

> > What is actually infinite is something that has *no* last n, if I
> > remember correctly what you have said.

>
> You have not!
>
> That only would apply to ordered sets, like |N


you mean the indices of digits of decimal fractions?

Regards, WM