alt Hacker NewsAnd why would R be "entitled" to an algebraic closure?
(I have a math degree, so I don't have any issues with C, but this is the kind of question that would have troubled me in high school.)
Replies
srean • yesterday at 9:13 PM
When it doesn't, we yearn for something that will fill the void so that it does. It's like that note you yearn for in a musical piece that the composer seems to avoid. One yearns for a resolution of the tension.
Complex numbers offers that resolution.
BigTTYGothGF • yesterday at 11:40 PM
> And why would R be "entitled" to an algebraic closure?
It's the birthright of every field.
alexey-salmin • yesterday at 8:14 PM
The good news is that Q is not really entitled to a closure either.
Why would N be entitled to it? We made up negative numbers and more just to have a closure. You just learn about them at an age when you don't question it yet.