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Taxtro
The Math Sorcerer
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Comments by "Taxtro" (@MrCmon113) on "Why Do Some People Learn Math So Fast" video.
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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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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