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Taxtro
The Math Sorcerer
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Comments by "Taxtro" (@MrCmon113) on "The Math Sorcerer" channel.
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Are you talking about the Einstein, who mastered calculus at age fourteen and found his own proof of the Pythagorean Theorem at twelve?
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Some of the girls I studied with were so far above me intellectually that hooking up would have been beastiality on their part.
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I think delta-epsilon proofs are very easy to understand, but very hard to do. What seems to me to be the problem is the working memory of the mind and I think that's closely related to the g factor. There is only so many things you can keep in the mind at the same time and in some delta-epsilon proofs you have to think around the corner multiple times to get it right. I've seen people work their asses off every day in the second semester of a maths bachelor and still fail. I know that mathematicians don't like talking about this, but differences in intelligence seems to me the most plausible explanation.
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When you are not in maths or physics you might never notice what enormous differences there are in intelligence. Everyone still in a maths course after the first semester is well above average, but the difference between the smartest in our year and me felt much greater than the difference between me and the slowest in highschool.
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@leogacitua1926 Yeah it's an explanation in the statistical sense, not the physical sense. It's evidence that some underlying process improves your performance at various cognitive abilities.
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We had a course called "calculus I" at university. It was 90% convergence and epsilon-delta proofs. The rest covered everything you need to get from set theory to integration.
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You mean differential equations? I pretty sure physics students use differential calculus from the start.
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That depends on the kind of problem and what your notion of "understanding" is. If you can score from anywhere on a basketball field does that count as understanding of the laws of motion? You can conceptualize understanding so that any success signifies understanding, but also in a way that understanding is fundamentally impossible.
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The hardest parts of physics is the mathematics in it.
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Studying maths at university is something different. If you want to learn maths that's relevant to technical applications you can do engineering or computer science or some applied maths course like financial mathematics.
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