Henri Poincare Quotes About Math

Quotes about: Math

• The scientist does not study nature because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.

  Henri Poincare

  Beautiful, Math, Science

  Henri Poincare (2012). “The Value of Science: Essential Writings of Henri Poincare”, p.318, Modern Library

• The mind uses its faculty for creativity only when experience forces it to do so.

  Henri Poincare

  Creativity, Math, Mind

• It is by logic that we prove, but by intuition that we discover. To know how to criticize is good, to know how to create is better.

  Henri Poincare

  Math, Intuition, Logic

  Henri Poincare (2012). “The Value of Science: Essential Writings of Henri Poincare”, p.746, Modern Library

• Geometry is the art of correct reasoning from incorrectly drawn figures.

  Henri Poincare

  Art, Math, Figures

• Mathematicians are born, not made.

  Henri Poincare

  Math, Born, Made

• Talk with M. Hermite. He never evokes a concrete image, yet you soon perceive that the more abstract entities are to him like living creatures.

  Henri Poincare

  Life, Math, Abstract

• Absolute space, that is to say, the mark to which it would be necessary to refer the earth to know whether it really moves, has no objective existence.... The two propositions: "The earth turns round" and "it is more convenient to suppose the earth turns round" have the same meaning; there is nothing more in the one than in the other.

  Henri Poincare

  Moving, Math, Two

• Mathematics is the art of giving the same name to different things.

  Henri Poincare

  Art, Science, Math

  Henri Poincare (2012). “The Value of Science: Essential Writings of Henri Poincare”, p.622, Modern Library

• There are no solved problems; there are only problems that are more or less solved.

  Henri Poincare

  Knowledge, Math, Ontology

• Mathematics is the art of giving the same name to different things.
  [As opposed to the quotation: Poetry is the art of giving different names to the same thing].

  Henri Poincare

  Art, Math, Names

• ...the feeling of mathematical beauty, of the harmony of numbers and of forms, of geometric elegance. It is a genuinely aesthetic feeling, which all mathematicians know

  Henri Poincare

  Math, Numbers, Feelings

• Later generations will regard Mengenlehre (set theory) as a disease from which one has recovered.

  Henri Poincare

  Math, Disease, Generations

• Thus, be it understood, to demonstrate a theorem, it is neither necessary nor even advantageous to know what it means. The geometer might be replaced by the "logic piano" imagined by Stanley Jevons; or, if you choose, a machine might be imagined where the assumptions were put in at one end, while the theorems came out at the other, like the legendary Chicago machine where the pigs go in alive and come out transformed into hams and sausages. No more than these machines need the mathematician know what he does.

  Henri Poincare

  Mean, Math, Piano

• The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge of a physical law. They reveal the kinship between other facts, long known, but wrongly believed to be strangers to one another.

  Henri Poincare

  Leadership, Math, Law

• . . . by natural selection our mind has adapted itself to the conditions of the external world. It has adopted the geometry most advantageous to the species or, in other words, the most convenient. Geometry is not true, it is advantageous.

  Henri Poincare

  Math, Mind, World

• A scientist worthy of his name, about all a mathematician, experiences in his work the same impression as an artist; his pleasure is as great and of the same nature.

  Henri Poincare

  Nature, Work, Math

  "Henri Poincaré, Critic of Crisis: Reflections on His Universe of Discourse". Book by Tobias Dantzig, p. 8, 1954.

• [T]he different branches of Arithmetic - Ambition [G]eometry is not true, it is advantageous.

  Henri Poincare

  Ambition, Math, Different

• Mathematical discoveries, small or great are never born of spontaneous generation They always presuppose a soil seeded with preliminary knowledge and well prepared by labour, both conscious and subconscious.

  Henri Poincare

  Math, Discovery, Preparation

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