this post was submitted on 29 Nov 2024
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Fuck geometry (lemm.ee)
submitted 3 weeks ago by [email protected] to c/[email protected]
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[–] kogasa 0 points 3 weeks ago (1 children)

That's not relevant to what they said, which is that distances can't be imaginary. They're correct. A metric takes nonnegative real values by definition

[–] [email protected] 1 points 3 weeks ago (1 children)

Why can't a complex number be described in a Banach-Tarsky space?

In such a case the difference between any two complex numbers would be a distance. And sure, formally a distance would need be a scalar, but for most practical use anyone would understand a vector as a distance with a direction.

[–] kogasa 0 points 3 weeks ago

The distance between two complex numbers is the modulus or their difference, a real number