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It may happen that small differences in the initial conditions produce very great ones in the final phenomena.
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
May
Produce
Great
Conditions
Fortuitous
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Initial
Differences
Initials
Happen
Phenomena
Small
Final
Science
Finals
Happens
Chaos
More quotes by Henri Poincare
Mathematics is the art of giving the same name to different things.
Henri Poincare
Thus, be it understood, to demonstrate a theorem, it is neither necessary nor even advantageous to know what it means.
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
Experiment is the sole source of truth. It alone can teach us something new it alone can give us certainty.
Henri Poincare
Mathematical discoveries, small or great are never born of spontaneous generation.
Henri Poincare
Point set topology is a disease from which the human race will soon recover.
Henri Poincare
Mathematicians do not study objects, but the relations between objects.
Henri Poincare
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.
Henri Poincare
What is it indeed that gives us the feeling of elegance in a solution, in a demonstration?
Henri Poincare
Just as houses are made of stones, so is science made of facts.
Henri Poincare
The aim of science is not things themselves, as the dogmatists in their simplicity imagine, but the relation between things.
Henri Poincare
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.
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
...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
A sane mind should not be guilty of a logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations.
Henri Poincare
In the old days when people invented a new function they had something useful in mind.
Henri Poincare
It is far better to foresee even without certainty than not to foresee at all.
Henri Poincare
If we wish to foresee the future of mathematics, our proper course is to study the history and present condition of the science.
Henri Poincare
In the old days when people invented a new function they had something useful in mind. Now, they invent them deliberately just to invalidate our ancestors' reasoning, and that is all they are ever going to get out of them.
Henri Poincare
Science is built up with facts, as a house is with stones. But a collection of facts is no more a science than a heap of stones is a house.
Henri Poincare