To invent is to discern, to choose.
Mathematicians are born, not made.
It is the simple hypotheses of which one must be most wary; because these are the ones that have the most chances of passing unnoticed.
A small error in the former will produce an enormous error in the latter.
Thus, be it understood, to demonstrate a theorem, it is neither necessary nor even advantageous to know what it means.
Guessing before proving! Need I remind you that it is so that all important discoveries have been made?