Quote

All of mathematics is a tale about groups.

Henri Poincare

Change background

T
T
T

Change font

TAGS & TOPICS

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
Groups
Tale
Tales
Mathematics

More quotes by Henri Poincare

Image
But for harmony beautiful to contemplate, science would not be worth following.
Henri Poincare
Image
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.
Henri Poincare
Image
A scientist worthy of his name, about all a mathematician, experiences in his work the same impression as an artist his pleasure is as great and of the same nature.
Henri Poincare
Image
The mind uses its faculty for creativity only when experience forces it to do so.
Henri Poincare
Image
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
Image
Geometry is not true, it is advantageous.
Henri Poincare
Image
...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
Image
Every good mathematician should also be a good chess player and vice versa.
Henri Poincare
Image
It is through science that we prove, but through intuition that we discover.
Henri Poincare
Image
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.
Henri Poincare
Image
Just as houses are made of stones, so is science made of facts.
Henri Poincare
Image
Mathematicians do not study objects, but relations among objects they are indifferent to the replacement of objects by others as long the relations don't change. Matter is not important, only form interests them.
Henri Poincare
Image
Thus, be it understood, to demonstrate a theorem, it is neither necessary nor even advantageous to know what it means.
Henri Poincare
Image
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
Image
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
Image
But all of my efforts served only to make me better acquainted with the difficulty, which in itself was something.
Henri Poincare
Image
Guessing before proving! Need I remind you that it is so that all important discoveries have been made?
Henri Poincare
Image
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
Image
It is a misfortune for a science to be born too late when the means of observation have become too perfect. That is what is happening at this moment with respect to physical chemistry the founders are hampered in their general grasp by third and fourth decimal places.
Henri Poincare
Image
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