What does it mean that my logic and reasoning could solve a problem? Meaning the one who gave me the problem could solve it already. Yet there are those who have gone through all the courses of problems, all ending in relatively the same place mentally. However, there are still problems they can't solve. What does it take for a breakthrough?
To know when to employ math known to mankind and when I can't. To know when I need something new or when I can use something old. This, I believe, is the crux of the matter. Otherwise, I try to invent new what is already done and so go nowhere except to prove to myself what all these people knew from a different perspective.