But all of my efforts served only to make me better acquainted with the difficulty, which in itself was something.

The mind uses its faculty for creativity only when experience forces it to do so.

It is far better to foresee even without certainty than not to foresee at all.

All of mathematics is a tale about groups.

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.

All the scientist creates in a fact is the language in which he enunciates it. If he predicts a fact, he will employ this language, and for all those who can speak and understand it, his prediction is free from ambiguity. Moreover, this prediction once made, it evidently does not depend upon him whether it is fulfilled or not.

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