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Mathematics is the art of giving the same name to different things.

Henri Poincare

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Henri Poincare
Age: 58 †
Born: 1854
Born: April 29
Died: 1912
Died: July 17
Astronomer
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Mathematician
Philosopher
Philosopher Of Science
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Jules Henri Poincaré
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Henri Poincare
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More quotes by Henri Poincare

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If we ought not to fear mortal truth, still less should we dread scientific truth. In the first place it can not conflict with ethics? But if science is feared, it is above all because it can give no happiness? Man, then, can not be happy through science but today he can much less be happy without it.
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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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The mind uses its faculty for creativity only when experience forces it to do so.
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How is it that there are so many minds that are incapable of understanding mathematics? ... the skeleton of our understanding, ... and actually they are the majority. ... We have here a problem that is not easy of solution, but yet must engage the attention of all who wish to devote themselves to education.
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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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How is error possible in mathematics?
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Thought is only a flash between two long nights, but this flash is everything.
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Point set topology is a disease from which the human race will soon recover.
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Geometry is not true, it is advantageous.
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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 subliminal self is in no way inferior to the conscious self. It knows how to choose and to divine.
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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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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.
Henri Poincare
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Geometry is the art of correct reasoning from incorrectly drawn figures.
Henri Poincare
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Experiment is the sole source of truth. It alone can teach us something new it alone can give us certainty.
Henri Poincare
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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.
Henri Poincare
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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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Most striking at first is the appearance of sudden illumination, a manifest sign of long unconscious prior work.
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It is far better to foresee even without certainty than not to foresee at all.
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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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