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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