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It is far better to foresee even without certainty than not to foresee at all.

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
Without
Even
Foreseeing
Foreseen
Foresee
Certainty
Better

More quotes by Henri Poincare

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Mathematicians do not study objects, but the relations between objects.
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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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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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But all of my efforts served only to make me better acquainted with the difficulty, which in itself was something.
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Intuition is more important to discovery than logic.
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How is error possible in mathematics?
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I entered an omnibus to go to some place or other. At that moment when I put my foot on the step the idea came to me, without anything in my former thoughts seeming to have paved the way for it, that the transformations I had used to define the Fuchsian functions were identical with non-Euclidean geometry.
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Thought is only a flash between two long nights, but this flash is everything.
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Mathematicians are born, not made.
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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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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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. . . 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.
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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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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Les faits ne parlent pas. Facts do not speak.
Henri Poincare
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Analyse data just so far as to obtain simplicity and no further.
Henri Poincare
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Point set topology is a disease from which the human race will soon recover.
Henri Poincare
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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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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.
Henri Poincare