Thus, be it understood, to demonstrate a theorem, it is neither necessary nor even advantageous to know what it means.
Henri PoincareOften when works at a hard question, nothing good is accomplished at the first attack. Then one takes a rest, long or short, and sits down anew to the work. During the first half-hour, as before, nothing is found, and then all of a sudden the decisive idea presents itself to the mind.
Henri Poincare