Pure logic could never lead us to anything but tautologies; it can create nothing new; not from it alone can any science issue.

Mathematical discoveries, small or great are never born of spontaneous generation.

Mathematical discoveries, small or great are never born of spontaneous generation They always presuppose a soil seeded with preliminary knowledge and well prepared by labour, both conscious and subconscious.

Every good mathematician should also be a good chess player and vice versa.

In the old days when people invented a new function they had something useful in mind.

Mathematics is the art of giving the same name to different things.

Chance ... must be something more than the name we give to our ignorance.