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

Henri Poincare

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Henri Poincare
Age: 58 †
Born: 1854
Born: April 29
Died: 1912
Died: July 17
Astronomer
Engineer
Mathematician
Philosopher
Philosopher Of Science
Physicist
Researcher
Topologist
University Teacher
Le Cateau
Jules Henri Poincaré
Poincaré
Henri Poincare
Jules Henri Poincare
Poincare
Reasoning
Drawn
Correct
Math
Figures
Art
Incorrectly
Geometry

More quotes by Henri Poincare

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Mathematicians do not study objects, but relations among objects they are indifferent to the replacement of objects by others as long the relations don't change. Matter is not important, only form interests them.
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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.
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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.
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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
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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.
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But for harmony beautiful to contemplate, science would not be worth following.
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We also know how cruel the truth often is, and we wonder whether delusion is not more consoling.
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Later generations will regard Mengenlehre (set theory) as a disease from which one has recovered.
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Les faits ne parlent pas. Facts do not speak.
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Every good mathematician should also be a good chess player and vice versa.
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Thought is only a flash between two long nights, but this flash is everything.
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Tolstoi explains somewhere in his writings why, in his opinion, “Science for Science's sake” is an absurd conception. We cannot know all the facts, since they are practically infinite in number. We must make a selection. Is it not better to be guided by utility, by our practical, and more especially our moral, necessities?
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Mathematics is the art of giving the same name to different things.
Henri Poincare
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But all of my efforts served only to make me better acquainted with the difficulty, which in itself was something.
Henri Poincare
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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
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One geometry cannot be more true than another it can only be more convenient.
Henri Poincare
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If nature were not beautiful, it would not be worth knowing, and if nature were not worth knowing, life would not be worth living
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Guessing before proving! Need I remind you that it is so that all important discoveries have been made?
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If we ought not to fear mortal truth, still less should we dread scientific truth. In the first place it can not conflict with ethics? But if science is feared, it is above all because it can give no happiness? Man, then, can not be happy through science but today he can much less be happy without it.
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Doubting everything and believing everything are two equally convenient solutions that guard us from having to think
Henri Poincare