| ▲ | bananaflag 4 hours 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.) | ||
| ▲ | BigTTYGothGF 10 minutes ago | parent | next [-] | |
> And why would R be "entitled" to an algebraic closure? It's the birthright of every field. | ||
| ▲ | srean 3 hours ago | parent | prev | next [-] | |
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. | ||
| ▲ | alexey-salmin 4 hours ago | parent | prev [-] | |
The good news is that Q is not really entitled to a closure either. | ||