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In the old days when people invented a new function they had something useful in mind.
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
Invented
Useful
Function
Days
Mind
Something
People
More quotes by Henri Poincare
Ideas rose in clouds I felt them collide until pairs interlocked, so to speak, making a stable combination.
Henri Poincare
Every good mathematician should also be a good chess player and vice versa.
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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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...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
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Later generations will regard Mengenlehre (set theory) as a disease from which one has recovered.
Henri Poincare
Experiment is the sole source of truth. It alone can teach us something new it alone can give us certainty.
Henri Poincare
Why is it that showers and even storms seem to come by chance, so that many people think it quite natural to pray for rain or fine weather, though they would consider it ridiculous to ask for an eclipse by prayer.
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Geometry is the art of correct reasoning from incorrectly drawn figures.
Henri Poincare
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.
Henri Poincare
Mathematical discoveries, small or great are never born of spontaneous generation.
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Analyse data just so far as to obtain simplicity and no further.
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One geometry cannot be more true than another it can only be more convenient.
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But all of my efforts served only to make me better acquainted with the difficulty, which in itself was something.
Henri Poincare
Zero is the number of objects that satisfy a condition that is never satisfied. But as never means in no case, I do not see that any progress has been made.
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Point set topology is a disease from which the human race will soon recover.
Henri Poincare
But for harmony beautiful to contemplate, science would not be worth following.
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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.
Henri Poincare
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.
Henri Poincare
We also know how cruel the truth often is, and we wonder whether delusion is not more consoling.
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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