-1: I don't really care what RealField.__repr__ returns, but cast a token 
no vote to object to the logical next move of breaking backwards 
compatibility by changing the meaning of RealField and/or RR.  I see the 
need for a "genuine real field", but it seems a lot simpler just to call it 
something other than "RealField" and so not break a lot of existing users' 
Sage code.

Best,

Nathan

On Wednesday, October 14, 2020 at 1:28:08 AM UTC-5 vdelecroix wrote:

> Dear all,
>
> I would like to discuss the patchbomb at
>
> https://trac.sagemath.org/ticket/24523
>
> The ticket hopes to change the string representation from
> "Real Field with XX bits of precision" to "Real Floating-point
> field with XX bits of precision".
>
> Rationale: it was quite unfortunate from the beginning that
> RealField and ComplexField mean "floating-point arithmetic".
> On the one hand, one would like to be able to work with the
> (abstract) Parent modeling the real numbers (eg for coercions).
> On the other hand, in the setting of computer algebra it is
> very often much better to work with interval arithmetic or
> balls rather than floating-point. The ticket is a small
> step towards getting the genuine "RealField" standing for
> the set of real numbers. See
>
> https://trac.sagemath.org/ticket/17713
>
> I think this deserves an agreement from other developers! Any
> comment very welcome.
>
> Best
> Vincent
>
>

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