Date: Jan 30, 2013 3:47 AM
Subject: Re: ZFC and God
WM <email@example.com> 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?
> > 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.