Virgil
Posts:
4,483
Registered:
1/6/11
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Re: ZFC and God
Posted:
Jan 30, 2013 3:47 AM
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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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