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.

Algebra is rich in structure but weak in meaning.

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

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?

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

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.