Virgil
Posts:
4,483
Registered:
1/6/11
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Re: Finitely definable reals.
Posted:
Jan 15, 2013 2:13 PM
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In article <1f7d986b-5888-4e5b-af82-95b063480984@i1g2000vbp.googlegroups.com>, 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. --
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