But for harmony beautiful to contemplate, science would not be worth following.
It is with logic that one proves; it is with intuition that one invents.
Thus, be it understood, to demonstrate a theorem, it is neither necessary nor even advantageous to know what it means.
Every good mathematician should also be a good chess player and vice versa.
But all of my efforts served only to make me better acquainted with the difficulty, which in itself was something.
It is by logic we prove. It is by intuition we discover.