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>How can I share that feeling inside my brain algebraically closed fields give me? That's kinda like returning home after a long day, because algebraically clo
by ginnungagap 8y ago
>How can I share that feeling inside my brain algebraically closed fields give me?
That's kinda like returning home after a long day, because algebraically closed fields are about the nicest structure you can hope to find yourself working in!
- rocqua 8y agoThe algebraic numbers aren't complete. So you cannot measure the circumference of circles in them, nor does a series like sum(1/k!) converge. Personally I'd posit finitely generated abelian groups as the nicest structures. Perhaps there is also something to be said for finite algebraically closed fields.
- ginnungagap 8y agoThere are no finite algebraically closed fields, but I see your point, it depends on what you have to do really, if you want to do any kind of analysis completeness is great, but being more on the logic/model theory side I like all algebraically closed fields!
- haskellandchill 8y agoYa'll rock.