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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