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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
People
Invented
Useful
Function
Days
Mind
Something
More quotes by Henri Poincare
The aim of science is not things themselves, as the dogmatists in their simplicity imagine, but the relation between things.
Henri Poincare
Intuition is more important to discovery than logic.
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Mathematical discoveries, small or great are never born of spontaneous generation They always presuppose a soil seeded with preliminary knowledge and well prepared by labour, both conscious and subconscious.
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The subliminal self is in no way inferior to the conscious self. It knows how to choose and to divine.
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How is it that there are so many minds that are incapable of understanding mathematics? ... the skeleton of our understanding, ... and actually they are the majority. ... We have here a problem that is not easy of solution, but yet must engage the attention of all who wish to devote themselves to education.
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It is the simple hypotheses of which one must be most wary because these are the ones that have the most chances of passing unnoticed.
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All of mathematics is a tale about groups.
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Every good mathematician should also be a good chess player and vice versa.
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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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Just as houses are made of stones, so is science made of facts.
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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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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.
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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.
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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.
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Mathematicians do not study objects, but the relations between objects.
Henri Poincare
It is far better to foresee even without certainty than not to foresee at all.
Henri Poincare
It may happen that small differences in the initial conditions produce very great ones in the final phenomena.
Henri Poincare
What is a good definition? For the philosopher or the scientist, it is a definition which applies to all the objects to be defined, and applies only to them it is that which satisfies the rules of logic. But in education it is not that it is one that can be understood by the pupils.
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Les faits ne parlent pas. Facts do not speak.
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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