For the real number, we say that the real numbers are well-ordered because if you give me ANY two real numbers, I can put in <,>, or = between them. My question is, that is not true with complex numbers. So "how well-ordered" are they considered in math? Do we just say that they are partially ordered? Or the complex numbers not ordered at all?
Can we also put in an equal sign between two complex numbers a and b if |a|=|b|? Can we use the notion of an inequality from here as well? For example, if |a|<|b| then can we say that a
(I seem to have missed that in my set theory class.)
2006-09-12
18:07:49
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10 answers
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asked by
The Prince
6
in
Mathematics