I believe that beliefs are more fundamental than one's definition of mistake.

Anthony Robbins interviewed many what he called highly successful individuals and discouvered they had 5 beliefs in common. One that I remember is that "Everything that happens to them is for their good". This means they don't believe it's possible to make a mistake. Everything is a success. Maybe not the one you wanted, but a succes that you can use to achieve your goals.

This kind of belief frees a person to take chances, simply because there is no risk of failure.

The natural extension is that the only real failure is to not learn form your experiences.