>sometimes the problems just too difficult for no reason or required an insight nobody would ever find, expect by accident Sure we can learn some techniques an

>sometimes the problems just too difficult for no reason or required an insight nobody would ever find, expect by accident Sure we can learn some techniques and the way we approach things may let us tackle problems in a way that is more likely to work. And yet I find it baffling that sometimes formal education wants a student to reach by themselves a conclusion that the brightest minds of mankind had a hard time getting there by themselves. While spending a fraction of the time thinking about the problem, of course. If you are meant to reproduce the way to the solution (having studied the method already), that's one thing. But if you are asking some student to come up with some bright idea that people spent years without being able to get it? Now that seems a little too much.