Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Finitely definable reals.
Replies: 52   Last Post: Jan 18, 2013 2:37 PM

 Messages: [ Previous | Next ]
 Virgil Posts: 8,833 Registered: 1/6/11
Re: Finitely definable reals.
Posted: Jan 15, 2013 2:13 PM

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

> On 15 Jan., 15:32, forbisga...@gmail.com wrote:
> > Only the infinite expansion will
> > do where the termial repeating sequense is identified as above.

>
> It will do? It will *never* do! Never ready, that is the meaning of
> unfinished work.

All of WMytheology is unfinished, so WM really needs to find an answer
to his question.
> >
> > You know this but are just playing games.  You also know that some reals
> > are irrational and do not have a termial repeating sequence.  Just as
> > with the rationals only the infinite expansion will equal itself--all elese
> > are approximations.  For most human purposes sufficiently close
> > approximations
> > are good enough

>
> and other decimal approximations do not exist.

So that in WMytheology only very special rationals can have decimal
representations at all and no irrationals have any.

>
> But we can state: If parallels cross each other and irrationals have
> complete decimal expansions then Cantor is right.

Note that, as stated, WM's claim allows Cantor to be right regardless.

So that WM is, for once, correct, even if only unintentionally.
--