Fair enough. :)

--Christopher


On Wed, Jan 25, 2012 at 12:46, William Stein <wst...@gmail.com> wrote:

> On Wed, Jan 25, 2012 at 9:30 AM, Christopher Swenson
> <ch...@caswenson.com> wrote:
> > Looking in rings/complex_number.pyx, it looks like it a simple lex
> ordering.
> >  I would bet that this is because people would be annoyed that you get an
> > exception if you tried to sort a list of complex numbers, even though you
> > can't. :)
>
> The set of complex numbers a+b*i can be endowed with an ordering,
> e.g,. by virtue of the isomorphism with R^2 got by fixing the basis
> 1,i.  There is just no ordering that also preserves the algebraic
> structure.  I don't see why this causes people to go so batshit
> insane.
>
>  -- William
>
> >
> > --Christopher
> >
> >
> > On Wed, Jan 25, 2012 at 12:22, Volker Braun <vbraun.n...@gmail.com>
> wrote:
> >>
> >> On Wednesday, January 25, 2012 8:58:15 AM UTC-8, Nils Bruin wrote:
> >>>
> >>> sage: bool(37 +i < 37 -i)
> >>> False
> >>
> >>
> >> False meaning that Sage cannot affirm that it is true; IMHO the correct
> >> answer.
> >>
> >>>
> >>> sage: bool(37 +i > 37 -i)
> >>> True
> >>
> >>
> >> BUG
> >>
> >>
> >> --
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> >
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>
>
> --
> William Stein
> Professor of Mathematics
> University of Washington
> http://wstein.org
>
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