Date: Jan 30, 2013 3:47 AM
Author: Virgil
Subject: Re: ZFC and God
In article

<4a768b6d-0d71-4e89-bf77-6b70d6e5ef52@d11g2000yqe.googlegroups.com>,

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

> On 30 Jan., 02:17, Virgil <vir...@ligriv.com> wrote:

> > In article

> > <6a9608a5-ec9c-4e81-af59-ae4caa19b...@h2g2000yqa.googlegroups.com>,

> >

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

> > > On 28 Jan., 22:52, "Jesse F. Hughes" <je...@phiwumbda.org> wrote:

>

> > > > Now,

> > > > if every real has a terminating decimal representation, then...

> >

> > > I did not say that every real has a terminating representation.

> >

> > But does every real accessible real have a decimal expansion, at least

> > in theory?

>

> No.

> >

> > Does every rational have a decimal expansion?

>

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

You just gave it one.

Every decimal expansion , finite or infinite, of a number between 0 and

1 is summation of terms Sum_(k in |N) a_k/10^k. for certain numbers

a;ll but finitely many of the a_k are zero.

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