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 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?

All models divide naturally...into two a priori parts: one is kinematics, whose aim is to parameterize the forms of the states of the process under consideration, and the other is dynamics, describing the evolution in time of these forms.

Topology is precisely the mathematical discipline that allows the passage from local to global.

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

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