Does the ability to solve non-standard problems develop?

Question

Programming

It is clear that standard (even complex) problems can be well learned to solve with a lot of practice, but does this work for non-standard complex problems? Or is this ability something at the level of innate talent?
PS By "non-standard tasks" I mean a diverse set of tasks both from mathematics and programming, and in principle from any branch of human intellectual activity. After all, it is not the subject to which you put your brains that is important, but the basic ability to think abstractly, reduce the problem to some kind of simplified models, and so on.

Answer 1

you asked a question that hundreds of researchers are struggling with, many schools of science are arguing, and each brings its own monographs - experiments and theories. so there is only one answer for you: take yourself specifically and conduct an experiment specifically. unsuccessfully? change the method of self-development and again conduct an experiment. everything else is words

Answer 2

I think the constant practice of solving problems develops a certain skill. which helps in solving "non-standard tasks"

Answer 3

Doesn't develop.
You can gain experience in solving such problems, hone techniques for specific classes of problems, broaden your horizons to see more techniques, learn to see more and more distant analogies - but this will only lead to the fact that you will have a wider range of problems that you will consider standard. Faced with another non-standard problem, you will find yourself in the same situation as you were at the beginning - that you have to twist it this way and that, try different approaches, reduce the problem to others - equivalent or more general, and try to solve them ... until find the right fit.
Even the problem of testing a theorem for truth is algorithmically unsolvable. Solving non-standard problems - from the same series.

Answer 4

This is not called skill but experience, skills are developed by characters in games. :)

Answer 5

Yes, if it exists.