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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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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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Doubting everything and believing everything are two equally convenient solutions that guard us from having to think
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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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Geometry is not true, it is advantageous.
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Mathematical discoveries, small or great are never born of spontaneous generation.
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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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It is by logic that we prove, but by intuition that we discover. To know how to criticize is good, to know how to create is better.
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We also know how cruel the truth often is, and we wonder whether delusion is not more consoling.
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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 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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Later generations will regard Mengenlehre (set theory) as a disease from which one has recovered.
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All of mathematics is a tale about groups.
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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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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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Geometry is the art of correct reasoning from incorrectly drawn figures.
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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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But for harmony beautiful to contemplate, science would not be worth following.
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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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Mathematicians are born, not made.
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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