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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.
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
Objects
Mathematician
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Irrelevant
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Thus
Form
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Long
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Mathematicians
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More quotes by Henri Poincare
Every good mathematician should also be a good chess player and vice versa.
Henri Poincare
Les faits ne parlent pas. Facts do not speak.
Henri Poincare
It may happen that small differences in the initial conditions produce very great ones in the final phenomena.
Henri Poincare
Pure logic could never lead us to anything but tautologies it can create nothing new not from it alone can any science issue.
Henri Poincare
But all of my efforts served only to make me better acquainted with the difficulty, which in itself was something.
Henri Poincare
It is through science that we prove, but through intuition that we discover.
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.
Henri Poincare
Logic sometimes makes monsters. For half a century we have seen a mass of bizarre functions which appear to be forced to resemble as little as possible honest functions which serve some purpose.
Henri Poincare
A sane mind should not be guilty of a logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations.
Henri Poincare
Later generations will regard Mengenlehre (set theory) as a disease from which one has recovered.
Henri Poincare
Mathematicians are born, not made.
Henri Poincare
One would have to have completely forgotten the history of science so as to not remember that the desire to know nature has had the most constant and the happiest influence on the development of mathematics.
Henri Poincare
The subliminal self is in no way inferior to the conscious self. It knows how to choose and to divine.
Henri Poincare
Intuition is more important to discovery than logic.
Henri Poincare
How is error possible in mathematics?
Henri Poincare
Experiment is the sole source of truth. It alone can teach us something new it alone can give us certainty.
Henri Poincare
Geometry is the art of correct reasoning from incorrectly drawn figures.
Henri Poincare
The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge of a physical law. They reveal the kinship between other facts, long known, but wrongly believed to be strangers to one another.
Henri Poincare
Most striking at first is the appearance of sudden illumination, a manifest sign of long unconscious prior work.
Henri Poincare
Tolstoi explains somewhere in his writings why, in his opinion, “Science for Science's sake” is an absurd conception. We cannot know all the facts, since they are practically infinite in number. We must make a selection. Is it not better to be guided by utility, by our practical, and more especially our moral, necessities?
Henri Poincare