Hi,
so, what's the punch line now? I totally lost track because we digressed 
too much. Is the representation change still wanted or not? And if so, what 
shall be it? I would like to conclude 
https://trac.sagemath.org/ticket/24523.

Best,
Michael

emanuel.c...@gmail.com schrieb am Samstag, 24. Oktober 2020 um 23:06:22 
UTC+2:

> You might as well create support for nonstandard analysis (which would be 
> eased  by some form of intuitionist logic in the framework...).
>
> We're no longer in Kan^Ka CAS, Toto... But that could be a fine use of 
> Sage, bridging to proof systems. Maybe a separate development, to be merged 
> when ready (à la differentiable manifolds...).
>
> Le samedi 24 octobre 2020 à 20:16:38 UTC+2, dim...@gmail.com a écrit :
>
>> well, for doing various things in real algebraic geometry, one 
>> certainly needs fields of Puiseux series, with (non-Archimedean) 
>> ordering 
>> dictated by 0<<e<<1, so that ne<1 for all natural n. :P 
>>
>> On Sat, Oct 24, 2020 at 7:04 PM kcrisman <kcri...@gmail.com> wrote: 
>> > 
>> > 
>> >> If it is possible though not perfect, I would prefer it to an abstract 
>> ghost. 
>> > 
>> > 
>> > So we should also start adding infinitesimals [1] to the RealField as 
>> well? ;-) 
>> > 
>> > [1] cf. Berkeley's "ghosts of departed quantities" 
>> > 
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>>
>>
>

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