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And 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 ha
by bananaflag 9mo ago
And 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.)
- alexey-salmin 9mo agoThe good news is that Q is not really entitled to a closure either.
- srean 9mo agoWhen 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 9mo ago> And why would R be "entitled" to an algebraic closure? It's the birthright of every field.
- seba_dos1 9mo agoWhy 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.