And why would R be "entitled" to an algebraic closure?
reply(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.)
> And why would R be "entitled" to an algebraic closure?
replyIt's the birthright of every field.
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.
replyComplex numbers offers that resolution.
The good news is that Q is not really entitled to a closure either.
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