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It may happen that small differences in the initial conditions produce very great ones in the final phenomena.
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
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University Teacher
Le Cateau
Jules Henri Poincaré
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Henri Poincare
Jules Henri Poincare
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More quotes by Henri Poincare
Geometry is not true, it is advantageous.
Henri Poincare
Les faits ne parlent pas. Facts do not speak.
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It is the simple hypotheses of which one must be most wary because these are the ones that have the most chances of passing unnoticed.
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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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But for harmony beautiful to contemplate, science would not be worth following.
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Mathematics is the art of giving the same name to different things.
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Mathematics has a threefold purpose. It must provide an instrument for the study of nature. But this is not all: it has a philosophical purpose, and, I daresay, an aesthetic purpose.
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It is a misfortune for a science to be born too late when the means of observation have become too perfect. That is what is happening at this moment with respect to physical chemistry the founders are hampered in their general grasp by third and fourth decimal places.
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It is through science that we prove, but through intuition that we discover.
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One geometry cannot be more true than another it can only be more convenient.
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Thus, be it understood, to demonstrate a theorem, it is neither necessary nor even advantageous to know what it means.
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Ideas rose in clouds I felt them collide until pairs interlocked, so to speak, making a stable combination.
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Every good mathematician should also be a good chess player and vice versa.
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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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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.
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. . . 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.
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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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The subliminal self is in no way inferior to the conscious self. It knows how to choose and to divine.
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The aim of science is not things themselves, as the dogmatists in their simplicity imagine, but the relation between things.
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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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