A sane mind should not be guilty of a logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations.

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• Henri Poincare:

  Need we add that mathematicians themselves are not infallible?

• Henri Poincare:

  Point set topology is a disease from which the human race will soon recover.

• Henri Poincare:

  What is it indeed that gives us the feeling of elegance in a solution, in a demonstration?

• Henri Poincare:

  It is the harmony of the diverse parts, their symmetry, their happy balance; in a word it is all th

• Henri Poincare:

  No more than these machines need the mathematician know what he does.

• Henri Poincare:

  A scientist worthy of his name, about all a mathematician, experiences in his work the same impress

• Alfred North Whitehead:

  If a dog jumps into your lap, it is because he is fond of you; but if a cat does the same thing, it

• Alfred North Whitehead:

  True courage is not the brutal force of vulgar heroes, but the firm resolve of virtue and reason.

• Alfred North Whitehead:

  Not ignorance, but ignorance of ignorance, is the death of knowledge.

• Alfred North Whitehead:

  Civilization advances by extending the number of important operations which we can perform without