Henri Poincare Quotes - Page 3

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• ...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

  14 Copy quote

• 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

  5 Copy quote

• So is not mathematical analysis then not just a vain game of the mind? To the physicist it can only give a convenient language; but isn't that a mediocre service, which after all we could have done without; and, it is not even to be feared that this artificial language be a veil, interposed between reality and the physicist's eye? Far from that, without this language most of the initimate analogies of things would forever have remained unknown to us; and we would never have had knowledge of the internal harmony of the world, which is, as we shall see, the only true objective reality.

  Henri Poincare

  Eye, Science, Reality

  "Statistical Mechanics of Disordered Systems: A Mathematical Perspective". Book by Anton Bovier, p. 3, 2006.

  15 Copy quote

• Mathematical discoveries, small or great are never born of spontaneous generation.

  Henri Poincare

  Discovery, Generations, Spontaneity

  22 Copy quote

• Einstein does not remain attached to the classical principles, and when presented with a problem in physics he quickly envisages all of its possibilities. This leads immediately in his mind to the prediction of new phenomena which may one day be verified by experiment.

  Henri Poincare

  Mind, One Day, Principles

  8 Copy quote

• 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

  9 Copy quote

• In the old days when people invented a new function they had something useful in mind.

  Henri Poincare

  People, Mind, Function

  13 Copy quote

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

  Henri Poincare

  Race, Disease, Topology

  97 Copy quote

• Mathematicians do not deal in objects, but in relations between objects; thus, they are free to replace some objects by others so long as the relations remain unchanged. Content to them is irrelevant: they are interested in form only.

  Henri Poincare

  Long, Form, Relation

  8 Copy quote

• 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

  4 Copy quote

• 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

  11 Copy quote

• How is error possible in mathematics?

  Henri Poincare

  Errors, Mathematics, Mathematical

  10 Copy quote

• 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

  11 Copy quote

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

  Henri Poincare

  Business, Clouds, Ideas

  8 Copy quote

• 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

  5 Copy quote

• 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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• 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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• 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

  5 Copy quote

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

  Henri Poincare

  Truth, Knowledge, Science

  18 Copy quote

• 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

  8 Copy quote

• 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

  4 Copy quote

• 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

  8 Copy quote

• If we wish to foresee the future of mathematics, our proper course is to study the history and present condition of the science.

  Henri Poincare

  Science, History, Wish

  4 Copy quote

• 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

  4 Copy quote

• 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

  7 Copy quote

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