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.

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

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.

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

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

Algebra is rich in structure but weak in meaning.