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Consider a simpler case of two dimensional real vectors. Lets consider the vector space of R^2, since all finite dimensional vector spaces of same dimensionalit

Consider a simpler case of two dimensional real vectors. Lets consider the vector space of R^2, since all finite dimensional vector spaces of same dimensionality are isomorphic, R^2 is isomorphic to the complex numbers. How would you order the complex numbers?

mccourt 10y ago
Good call. That's a simpler example than where I was going.
wolfgke 10y ago
> How would you order the complex numbers? You can use any order that can be defined on R^2. It's just that you can show that this order cannot satisfy the axioms of an ordered field.
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