Date: Jan 31, 2013 3:41 AM
Author: mueckenh@rz.fh-augsburg.de
Subject: Re: ZFC and God
On 31 Jan., 01:51, Virgil <vir...@ligriv.com> wrote:

> > > > > Does every rational have a decimal expansion?

>

> > > > No. For instance 1/9 = 0.111... has no decimal expansion

>

> > > You just gave it one.

>

> > No. I know, it is very unfamiliar, but it is fact: "0.111..." is not a

> > decimal expansion. For instance, because decimal expansions by

> > definition have only one point. 0.111...

>

> Finite and infinite decimals have only one decimal point, but the

> ellipsis "..." is not a decimal point,

I did not say "decimal point" but only "point".

> but is a standard abbreviation

> for either "and so on until" if followed by an end value or "and so on

> without end" if not followed by an end value.

Please write this decimal expansions without an abbreviation. The

present form only shows potential infinity, namely for "every" n d_n =

1.

Regards, WM

Regards, WM