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