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Mathematicians do not study objects, but the relations between objects.

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
Mathematicians
Mathematician
Relations
Relation
Objects
Study

More quotes by Henri Poincare

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For a long time the objects that mathematicians dealt with were mostly ill-defined one believed one knew them, but one represented them with the senses and imagination but one had but a rough picture and not a precise idea on which reasoning could take hold.
Henri Poincare
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Pure logic could never lead us to anything but tautologies it can create nothing new not from it alone can any science issue.
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All of mathematics is a tale about groups.
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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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It is through science that we prove, but through intuition that we discover.
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Thought is only a flash between two long nights, but this flash is everything.
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Every good mathematician should also be a good chess player and vice versa.
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Mathematics is the art of giving the same name to different things.
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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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The mind uses its faculty for creativity only when experience forces it to do so.
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Ideas rose in clouds I felt them collide until pairs interlocked, so to speak, making a stable combination.
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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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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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Guessing before proving! Need I remind you that it is so that all important discoveries have been made?
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.
Henri Poincare
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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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Point set topology is a disease from which the human race will soon recover.
Henri Poincare
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Most striking at first is the appearance of sudden illumination, a manifest sign of long unconscious prior work.
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.
Henri Poincare
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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