```Date: Jan 30, 2013 5:33 AM
Author: mueckenh@rz.fh-augsburg.de
Subject: Re: ZFC and God

On 30 Jan., 09:47, Virgil <vir...@ligriv.com> wrote:> In article> <4a768b6d-0d71-4e89-bf77-6b70d6e5e...@d11g2000yqe.googlegroups.com>,>>>>>>  WM <mueck...@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.>No. I know, it is very unfamiliar, but it is fact: "0.111..." is not adecimal expansion. For instance, because decimal expansions bydefinition have only one point. 0.111... is a finite definition of 1/9like 1/9 is itself. It formulates a task, namely to find the n-thdigit of the decimal expansion. This task can be accomplished forevery n, but not for all.Regards, WM
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