Science shows that there really is no knowledge transfer between unrelated fields. There is essentially no way to get overall better at thinking. You either can relate what you know already to the thing or you can't. In first case it's experience, not brain trained to thinking, in second it depends on if you learned how to learn.
Logical reasoning is a small part that everyone does even without thinking, but it doesn't transfer if you don't use abstractions to relate what you don't know with what you do know.
You can get better at resolving problems overall, but it's a tiny improvement if you don't focus on learning how to solve problems. Solving problems on it's own gives you experience you can use at solving similar things. But it won't help with different problems.
That being said if you can relate math you learned to problems you need to solve it can sometimes make something impossible into something very easy. That on it's own is a good reason to get good at maths.
The other one is training on how to read information dense domain texts.
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Science shows that there really is no knowledge transfer between unrelated fields. There is essentially no way to get overall better at thinking. You either can relate what you know already to the thing or you can't. In first case it's experience, not brain trained to thinking, in second it depends on if you learned how to learn.
Logical reasoning is a small part that everyone does even without thinking, but it doesn't transfer if you don't use abstractions to relate what you don't know with what you do know.
You can get better at resolving problems overall, but it's a tiny improvement if you don't focus on learning how to solve problems. Solving problems on it's own gives you experience you can use at solving similar things. But it won't help with different problems.
That being said if you can relate math you learned to problems you need to solve it can sometimes make something impossible into something very easy. That on it's own is a good reason to get good at maths.
The other one is training on how to read information dense domain texts.