Henri Poincare Quotes - Page 3

Quotes about:

• All that is not thought is pure nothingness; since we can think only thoughts, and all the words we use to speak of things can express only thoughts, to say there is something other than thought is therefore an affirmation which can have no meaning.

  Henri Poincare

  Thinking, Use, Affirmation

  "The Value of Science". Book by Henri Poincaré, translated by George Bruce Halsted. Chapter 11: "Science and Reality", 1907.

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• All great progress takes place when two sciences come together, and when their resemblance proclaims itself, despite the apparent disparity of their substance.

  Henri Poincare

  Two, Progress, Together

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• A cat is witty, he has nerve, he knows how to do precisely the right thing at the right moment.

  Henri Poincare

  Witty, Cat, Nerves

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• Most striking at first is the appearance of sudden illumination, a manifest sign of long unconscious prior work.

  Henri Poincare

  Illumination, Long, Firsts

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• Logic sometimes makes monsters. For half a century we have seen a mass of bizarre functions which appear to be forced to resemble as little as possible honest functions which serve some purpose.

  Henri Poincare

  Purpose, Half, Littles

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• Ideas rose in clouds; I felt them collide until pairs interlocked, so to speak, making a stable combination.

  Henri Poincare

  Business, Clouds, Ideas

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• In the old days when people invented a new function they had something useful in mind. Now, they invent them deliberately just to invalidate our ancestors' reasoning, and that is all they are ever going to get out of them.

  Henri Poincare

  People, Mind, Function

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• How is error possible in mathematics?

  Henri Poincare

  Errors, Mathematics, Mathematical

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

  Henri Poincare

  Idaho, Giving, Feelings

  "The Emotion Machine: Commonsense Thinking, Artificial Intelligence, and the Future of the Human Mind". Book by Marvin Minsky, p. 239, November 13, 2007.

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• Doubting everything and believing everything are two equally convenient solutions that guard us from having to think

  Henri Poincare

  Spiritual, Believe, Thinking

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• 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

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• One would have to have completely forgotten the history of science so as to not remember that the desire to know nature has had the most constant and the happiest influence on the development of mathematics.

  Henri Poincare

  Desire, Development, Remember

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• The aim of science is not things themselves, as the dogmatists in their simplicity imagine, but the relation between things.

  Henri Poincare

  Science, Imagination, Simplicity

  Henri Poincare (2012). “The Value of Science: Essential Writings of Henri Poincare”, p.22, Modern Library

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• How is it that there are so many minds that are incapable of understanding mathematics? ... the skeleton of our understanding, ... and actually they are the majority. ... We have here a problem that is not easy of solution, but yet must engage the attention of all who wish to devote themselves to education.

  Henri Poincare

  Science, Skeletons, Understanding

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

  Henri Poincare

  Mind, Guilty, Logical

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• If we knew exactly the laws of nature and the situation of the universe at the initial moment, we could predict exactly the situation of the same universe at a succeeding moment.

  Henri Poincare

  Law, Succeed, Moments

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• Thus, be it understood, to demonstrate a theorem, it is neither necessary nor even advantageous to know what it means.

  Henri Poincare

  Mean, Understood, Knows

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• It is by logic we prove. It is by intuition we discover.

  Henri Poincare

  Truth, Knowledge, Science

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• Experiment is the sole source of truth.

  Henri Poincare

  Source, Sole, Experiments

  The Foundations of Science Science and Hypothesis (p. 127)

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• What is a good definition? For the philosopher or the scientist, it is a definition which applies to all the objects to be defined, and applies only to them; it is that which satisfies the rules of logic. But in education it is not that; it is one that can be understood by the pupils.

  Henri Poincare

  Science, Understanding, Definitions

  Henri Poincare (2012). “The Value of Science: Essential Writings of Henri Poincare”, p.730, Modern Library

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

  Henri Poincare

  Race, Disease, Topology

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• The subliminal self is in no way inferior to the conscious self. It knows how to choose and to divine.

  Henri Poincare

  Self, Intuition, Way

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• Why is it that showers and even storms seem to come by chance, so that many people think it quite natural to pray for rain or fine weather, though they would consider it ridiculous to ask for an eclipse by prayer.

  Henri Poincare

  Prayer, Rain, Science

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• Deviner avant de démontrer! Ai-je besoin de rappeler que c'est ainsi que se sont faites toutes les découvertes importantes.

  Henri Poincare

  Science

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• When the physicists ask us for the solution of a problem, it is not drudgery that they impose on us, on the contrary, it is us who owe them thanks.

  Henri Poincare

  Science, Thanks, Problem

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