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… — Rene Thom Copy Share Image
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. — Rene Thom Copy Share Image
Topology is precisely the mathematical discipline that allows the passage from local to global... — Rene Thom Copy Share Image
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… — Rene Thom Copy Share Image
The purely formal language of geometry describes adequately the reality of space. We might say, in this sense, that geometry is successful magic. I… — Rene Thom Copy Share Image
Quantum mechanics, with its leap into statistics, has been a mere palliative for our ignorance — Rene Thom Copy Share Image
The world of ideas is not revealed to us in one stroke; we must both permanently and unceasingly recreate it in our consciousness. — Rene Thom Copy Share Image
“At a time where so many scholars are calculating, is it not desirable that some, who can, dream?” — René Thom Copy Share Image
If one must choose between rigour and meaning, I shall unhesitatingly choose the latter. — Rene Thom Copy Share Image
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… — Rene Thom Copy Share Image
The importance of the "New Mathematics" lies mainly in the fact that it has taught us the difference between the disc and the circle. — Rene Thom Copy Share Image
At a time when so many scholars in the world are calculating, is it not desirable that some, who can, dream ? — Rene Thom Copy Share Image
