"When the logician has resolved each demonstration into……" — Henri Poincare
"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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Henri Poincare
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107 Quotes by Henri Poincare
Henri Poincare has 107 quotes on this site.
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Consider now the Milky Way. Here also we see an innumerable dust, only the grains of this dust are no…
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Why is it that showers and even storms seem to come by chance, so that many people think it quite…
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It is by logic we prove. It is by intuition we discover.
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In one word, to draw the rule from experience, one must generalize; this is a necessity that imposes itself on…
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It is a misfortune for a science to be born too late when the means of observation have become too…
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Every phenomenon, however trifling it be, has a cause, and a mind infinitely powerful, and infinitely well-informed concerning the laws…
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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…
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I then began to study arithmetical questions without any great apparent result, and without suspecting that they could have the…
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It is often said that experiments should be made without preconceived ideas. That is impossible. Not only would it make…
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Mathematicians do not study objects, but relations between objects.
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What is it indeed that gives us the feeling of elegance in a solution, in a demonstration?
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It is far better to foresee even without certainty than not to foresee at all.
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The new always happens against the overwhelming odds of statistical laws and their probability, which for all practical, everyday purposes…
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Where all are guilty, no one is; confessions of collective guilt are the best possible safeguard against the discovery of…
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I keep my friends as misers do their treasure, because, of all the things granted us by wisdom, none is…
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We must all make peace so that we can all live in peace.
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The spirit of Ubuntu, that once led Haiti to emerge as the first independent black nation in 1804, helped Venezuela,…
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Wise people, even though all laws were abolished, would still lead the same life.
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A friend to all is a friend to none.
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