Date: Jan 25, 2013 1:58 PM
Author: Virgil
Subject: Re: ZFC and God
In article

<23c75ce4-2ede-43e1-87d2-a61866fe1787@w3g2000yqj.googlegroups.com>,

WM <mueckenh@rz.fh-augsburg.de> wrote:

> 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?

How would the existence of such a set prevent the existence of a set of

all decimals between 0 and 1?

> >

> >

> >

> > > 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?

|N has many other uses.

>

> Regards, WM

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