Mathematics has a threefold purpose. It must provide an instrument for the study of nature. But this is not all: it has… — Henri Poincare Copy Share Image
“ Qu'une goutee de vin tombe dans un verre d'eau; quelle que soit la loi du movement interne du liquide, nous verrons… — Henri Poincaré Copy Share Image
“ Le savant doit ordonner ; on fait la science avec des faits comme une maison avec des pierres ; mais une… — Henri Poincare Copy Share Image
It is through science that we prove, but through intuition that we discover. — Henri Poincare Copy Share Image
“ En un mot, pour tirer la loi de l'expérience, if faut généraliser; c'est une nécessité qui s'impose à l'observateur le plus… — Henri Poincare Copy Share Image
Guessing before proving! Need I remind you that it is so that all important discoveries have been made? — Henri Poincare Copy Share Image
All the scientist creates in a fact is the language in which he enunciates it. If he predicts a fact, he will… — Henri Poincare Copy Share Image
Science is built up of facts, as a house is with stones. But a collection of facts is no more a science… — Henri Poincare Copy Share Image
“... I left Caen, where I was living, to go on a geological excursion under the auspices of the School of Mines.… — Henri Poincaré Copy Share Image
Every phenomenon, however trifling it be, has a cause, and a mind infinitely powerful, and infinitely well-informed concerning the laws of nature… — Henri Poincare Copy Share Image
How is it that there are so many minds that are incapable of understanding mathematics? ... the skeleton of our understanding, ...… — Henri Poincare Copy Share Image
“ Derrière la série de Fourier , d'autres séries analogues sont entrées dans la domaine de l'analyse; elles y sont entrees par… — Henri Poincaré Copy Share Image
Every good mathematician should also be a good chess player and vice versa. — Henri Poincare Copy Share Image
It is a misfortune for a science to be born too late when the means of observation have become too perfect. That… — Henri Poincare Copy Share Image
If we ought not to fear mortal truth, still less should we dread scientific truth. In the first place it can not… — Henri Poincare Copy Share Image
Pure logic could never lead us to anything but tautologies; it can create nothing new; not from it alone can any science… — Henri Poincare Copy Share Image
One does not ask whether a scientific theory is true, but only whether it is convenient. — Henri Poincare Copy Share Image
What is a good definition? For the philosopher or the scientist, it is a definition which applies to all the objects to… — Henri Poincare Copy Share Image
But for harmony beautiful to contemplate, science would not be worth following. — Henri Poincare Copy Share Image
Consider now the Milky Way. Here also we see an innumerable dust, only the grains of this dust are no longer atoms… — Henri Poincare Copy Share Image
When the physicists ask us for the solution of a problem, it is not drudgery that they impose on us, on the… — Henri Poincare Copy Share Image
For a long time the objects that mathematicians dealt with were mostly ill-defined; one believed one knew them, but one represented them… — Henri Poincare Copy Share Image
The task of the educator is to make the child's spirit pass again where its forefathers have gone, moving rapidly through certain… — Henri Poincare Copy Share Image
The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge… — Henri Poincare Copy Share Image
. . . by natural selection our mind has adapted itself to the conditions of the external world. It has adopted the geometry most… — Henri Poincare Copy Share Image
If we knew exactly the laws of nature and the situation of the universe at the initial moment, we could predict exactly the situation… — Henri Poincare Copy Share Image
Absolute space, that is to say, the mark to which it would be necessary to refer the earth to know whether it really moves,… — Henri Poincare Copy Share Image
Absolute space, that is to say, the mark to which it would be necessary to refer the earth to know whether it really moves,… — Henri Poincare Copy Share Image
A cat is witty, he has nerve, he knows how to do precisely the right thing at the right moment. — Henri Poincare Copy Share Image
In the old days when people invented a new function they had something useful in mind. — Henri Poincare Copy Share Image
Mathematics has a threefold purpose. It must provide an instrument for the study of nature. But this is not all: it has a philosophical… — Henri Poincare Copy Share Image
