Algebra is rich in structure but weak in meaning.

Algebra is rich in structure but weak in meaning.

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 ?

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

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

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