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

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

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.

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.

Catastrophe Theory is-quite likely-the first coherent attempt (since Aristotelian logic) to give a theory on analogy. When narrow-minded scientists object to Catastrophe Theory that it gives no more than analogies, or metaphors, they do not realise that they are stating the proper aim of Catastrophe Theory, which is to classify all possible types of analogous situations.