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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.

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
Great
Substance
Despite
Progress
Takes
Proclaims
Place
Disparity
Two
Resemblance
Together
Apparent
Come
Sciences

More quotes by Henri Poincare

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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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All of mathematics is a tale about groups.
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It is far better to foresee even without certainty than not to foresee at all.
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The mind uses its faculty for creativity only when experience forces it to do so.
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Point set topology is a disease from which the human race will soon recover.
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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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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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Intuition is more important to discovery than logic.
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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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It is through science that we prove, but through intuition that we discover.
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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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Mathematicians are born, not made.
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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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But for harmony beautiful to contemplate, science would not be worth following.
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A scientist worthy of his name, about all a mathematician, experiences in his work the same impression as an artist his pleasure is as great and of the same nature.
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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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...the feeling of mathematical beauty, of the harmony of numbers and of forms, of geometric elegance. It is a genuinely aesthetic feeling, which all mathematicians know
Henri Poincare
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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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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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One geometry cannot be more true than another it can only be more convenient.
Henri Poincare