Comment #6 on issue 2625 by alfr...@gmail.com: Imaginary unit in R, ordering of complex numbers
http://code.google.com/p/sympy/issues/detail?id=2625

Yeah, you can't make the complex numbers into an ordered field. That's really only a problem if the comparison operator is required to be compatible with the field operations for other reasons.

Mathematically you are free to define such an ordering, whether or not it makes sense to do so here would be seemingly more motivated by how the software is structured than anything else.

Comment 4 shows you already have such an ordering. An alternative approach would be to make "oo" respect this.


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