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

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
Math
Mathematics
Regard
Later
Disease
Generations
Theory
Recovered
Mathematical

More quotes by Henri Poincare

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Pure logic could never lead us to anything but tautologies it can create nothing new not from it alone can any science issue.
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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.
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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.
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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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Point set topology is a disease from which the human race will soon recover.
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Thought is only a flash between two long nights, but this flash is everything.
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For a long time the objects that mathematicians dealt with were mostly ill-defined one believed one knew them, but one represented them with the senses and imagination but one had but a rough picture and not a precise idea on which reasoning could take hold.
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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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But for harmony beautiful to contemplate, science would not be worth following.
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It may happen that small differences in the initial conditions produce very great ones in the final phenomena.
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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.
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Analyse data just so far as to obtain simplicity and no further.
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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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Intuition is more important to discovery than logic.
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When the logician has resolved each demonstration into a host of elementary operations, all of them correct, he will not yet be in possession of the whole reality, that indefinable something that constitutes the unity ... Now pure logic cannot give us this view of the whole it is to intuition that we must look for it.
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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
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Every good mathematician should also be a good chess player and vice versa.
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Geometry is the art of correct reasoning from incorrectly drawn figures.
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Experiment is the sole source of truth. It alone can teach us something new it alone can give us certainty.
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One geometry cannot be more true than another it can only be more convenient.
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