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 <kcris...@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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