On Wednesday, March 12, 2014 8:45:57 PM UTC-4, Thierry 
(sage-googlesucks@xxx) wrote:
>
> - create RSF (for "real symbolic field") to isolate pi and sqrt(2) from 
>   cos(x) in the symbolic ring. 
>

Thats essentially what RLF does.
 

> - re-create RR as an "overlay field" over the different representations 
>

Its a basic fact that you can't represent a "generic" real number on a 
computer. You can argue that one should default to a lazy evaluation and 
not pick a favorite, but that also means that it'll be useless in practice. 
You can't safely & effectively do floating-point computations without 
picking a particular representation first. Trying to pretend otherwise is 
just kidding yourself.

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