| ▲ | BalinKing 5 hours ago |
| I'm presuming this is old news to you, but what helped me get comfortable with ℂ was learning that it's just the algebraic closure of ℝ. |
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| ▲ | bananaflag 5 hours ago | parent [-] |
| 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.) |
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| ▲ | BigTTYGothGF an hour ago | parent | next [-] | | > And why would R be "entitled" to an algebraic closure? It's the birthright of every field. | |
| ▲ | srean 4 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 5 hours ago | parent | prev [-] | | The good news is that Q is not really entitled to a closure either. |
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