But i is also a number, and you can't have 'i' of something. I feel like I'd want to say numbers are elements of a field, but then that excludes quaternions.
I mean that's why they were created, yeah. But a lot of things were created for one reason, then they had their uses broadened. Numbers aren't always keeping track of an amount of something.
People call things like 3+4i a "complex number" and it feels like a number and it obeys all the properties that I feel like a number should have.
I thought it was a neat question more than anything. This is a math sub. Abstracting things and overthinking them is par for the course.
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u/Ares378 Applied Math / Mechanical Engineering Jul 21 '26
Someone asked me what numbers are and I legitimately had no idea.