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Just as houses are made of stones, so is science made of facts.

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
Stones
Science
House
Facts
Made
Houses

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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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What is it indeed that gives us the feeling of elegance in a solution, in a demonstration?
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But for harmony beautiful to contemplate, science would not be worth following.
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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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Guessing before proving! Need I remind you that it is so that all important discoveries have been made?
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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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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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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 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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If we wish to foresee the future of mathematics, our proper course is to study the history and present condition of the science.
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Mathematics is the art of giving the same name to different things.
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Les faits ne parlent pas. Facts do not speak.
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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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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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Mathematical discoveries, small or great are never born of spontaneous generation.
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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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All great progress takes place when two sciences come together, and when their resemblance proclaims itself, despite the apparent disparity of their substance.
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The mind uses its faculty for creativity only when experience forces it to do so.
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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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