It does? That doesn't match the way I think about linear algebra at all.
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Replying to @michael_nielsen
Interesting… did you read the jadagul post? “The entire subject is, like, four actual facts, each of which is repeated twenty times in slightly different language.”
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Replying to @Meaningness
The post was nice enough, but I didn't really get much from it. It's possible my calibration may be off, after years of quantum information theory. Proving linear algebraic facts became a sort of ground state, for relaxation purposes.
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Replying to @michael_nielsen
Ah, right, yes—something that would be helpful to a sophomore first encountering linear algebra would not come as a revelation to you!
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Replying to @Meaningness
That's true. It's perhaps the one part of mathematics where I feel completely at home. Of course, I'm still ignorant of vast parts of linear algebra. But I feel assured with the basics; certainly those points of view are completely natural (though 6 is ambiguous).
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Replying to @michael_nielsen
I never went beyond the basics of abstract algebra… logic is the one branch of math where I really feel at home
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Replying to @Meaningness
Logic always seems like black magic to me. I once notionally TA'ed a class on logic; I felt like quite the imposter, since I didn't understand the material at all deeply.
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Replying to @michael_nielsen
This is funny, how different sorts of math are natural for different people! I’d love to know whether it correlates with Big 5 personality traits, for instance
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Replying to @Meaningness @michael_nielsen
Are you familiar with the theory that it correlates with which way you eat corn on the cob? http://bentilly.blogspot.com/2010/08/analysis-vs-algebra-predicts-eating.html …
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I have no where near enough mathematical education to say whether I prefer algebra or analysis, though my guess is the former. But I don't eat corn on the cob either way because I don't eat it systematically. More like a spreading blot of eatenness.
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You may have a promising career as a logician ahead of you!
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