If one must choose between rigour and meaning, I shall unhesitatingly choose the latter.

Quantum mechanics, with its leap into statistics, has been a mere palliative for our ignorance

I believe that proving is not a natural activity for mathematicians.

The world of ideas is not revealed to us in one stroke; we must both permanently and unceasingly recreate it in our consciousness.

The importance of the "New Mathematics" lies mainly in the fact that it has taught us the difference between the disc and the circle.

The purely formal language of geometry describes adequately the reality of space. We might say, in this sense, that geometry is successful magic. I should like to state a converse: is not all magic, to the extent that it is successful, geometry?

At a time when so many scholars in the world are calculating, is it not desirable that some, who can, dream ?