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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
Researcher
Topologist
University Teacher
Le Cateau
Jules Henri Poincaré
Poincaré
Henri Poincare
Jules Henri Poincare
Poincare
Happens
Chaos
May
Produce
Great
Conditions
Fortuitous
Ones
Initial
Differences
Initials
Happen
Phenomena
Small
Final
Science
Finals

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Every good mathematician should also be a good chess player and vice versa.
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The mind uses its faculty for creativity only when experience forces it to do so.
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Mathematicians do not study objects, but the relations between objects.
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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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Les faits ne parlent pas. Facts do not speak.
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Doubting everything and believing everything are two equally convenient solutions that guard us from having to think
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Thought is only a flash between two long nights, but this flash is everything.
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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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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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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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A reality completely independent of the spirit that conceives it, sees it, or feels it, is an impossibility. A world so external as that, even if it existed, would be forever inaccessible to us.
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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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Most striking at first is the appearance of sudden illumination, a manifest sign of long unconscious prior work.
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Science is built up with facts, as a house is with stones. But a collection of facts is no more a science than a heap of stones is a house.
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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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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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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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Geometry is the art of correct reasoning from incorrectly drawn figures.
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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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