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by halayli 2484 days ago
I feel you need to rethink your goal. it's like you're trying to finding missing chapters from an undefined book.

Try to be around problems that requires a high degree of math skills to solve. let the problems drive you.

intuition is usually built by spending hundreds of hours thinking, eating, and drinking the problems you're truly interested in to arrive to a solution.

If you spend enough time doing this, you'll know exactly what areas you need to inquire about as your understanding to the problem becomes clearer and gaps start to narrow down.

If you don't know what you need to learn you probably haven't spent enough time on the problem or just read the solution which made you feel this way, not realizing that the solution was done by a person that could have spent 100x the time you spent on it and built the intuition you're asking about.

3 comments

There's a loophole. You read about people like Gauss who had insights long before they became math students. There's something to dig there.
Gauss definetly used a cheat code. Calculating before starting to talk, fixing errors in payrolls at age of 3... numbers came more naturally to that guy than talking.

If something is to dig here is that the earlier you start the better you will be.

> the earlier you start the better you will be

There was a psychology teacher that had this theory, so when he had kids he started teaching them to play Chess as soon as possible and his two daughters became world champions

Polgár László was the guy with 3 daughters. And one of the girls became the best women chess player to date.

https://en.m.wikipedia.org/wiki/Judit_Polg%C3%A1r

Aight he might have been wired differently, but there might be a thing or two to ask about their mindset when thinking.
Every field has exceptional people, things just come naturally to them. Recently I've been watching some videos of Kim Jung Gi on youtube (warning, some of his videos are not safe for work). In a world of super talented artists, Kim is on a whole another level. Apparently he was exceptional, even as a child (though he does draw a lot). Ramanujan woke up from dreams in the middle of the night, wrote complex Math proofs and went to sleep. And so on.

I guess the loophole here is simply being born with talent :P

I agree with this post. You mentioned that Physics made gaps in your knowledge apparent, can you articulate roughly what these gaps were, or which field of maths they belong to?
I love how OP’s question and this answer apply to Algorithms problems, and Distributed Systems problems, too (two things I want to get better at)