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.

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

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

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

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.

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?