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A comment on Intro to Multicriteria Optimization. Parent comment

Re:Intro to Multicriteria Optimization by pmalynin on Tuesday August 16, 2016 @10:42PM (#12302161)
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?

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Re:Intro to Multicriteria Optimization by wolfgke on Wednesday August 17, 2016 @06:24AM (#12303542)
> 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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Re:Intro to Multicriteria Optimization by mccourt on Tuesday August 16, 2016 @10:48PM (#12302187)
Good call. That's a simpler example than where I was going.
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