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That Plato's Republic should have been admired, on its political side, by decent people, is perhaps the most astonishing example of literary snobbery in all history.

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Rene Thom

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

Math, Ideas, World, Stroke, Consciousness
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I believe that proving is not a natural activity for mathematicians.

Believe, Natural, Mathematician, Mathematicians, Activity

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

Discipline, Global, Local, Math, Precisely, Topology

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?

Successful, Reality, Space, Geometry, Sense, Magic

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.

Analogies, Analogy, Classify, Giving, Science, Scientists

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.

Aim, Dynamics, Evolution, Naturally, Process, Two
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