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

 Messages: [ Previous | Next ]
 mueckenh@rz.fh-augsburg.de Posts: 18,076 Registered: 1/29/05
Re: Finitely definable reals.
Posted: Jan 15, 2013 10:53 AM

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.
>
> 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. You may say, they are
never available. Two parallels never cross each other. That is
tantamount to "cross each other in the infinite".

But we can state: If parallels cross each other and irrationals have
complete decimal expansions then Cantor is right. Or better: Only in
the reals where parallels cross each other and irrationals have
complete decimal expansions Cantor is right.

Regards, WM