Le 13-juil.-05, à 06:02, Russell Standish a écrit :
> Complex numbers indeed do not have an ordering (being basically
> points on a plane)
So you pretend the axiom of choice is false. It is easy to build an
ordering of the complex numbers through it.
There is no ordering *which satisfies some algebraic desiderata*. But
as a set, you can always ordered it (given that the axiom of choice is
consistent with ZF).
Bruno
http://iridia.ulb.ac.be/~marchal/
Received on Wed Jul 13 2005 - 06:24:31 PDT