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 Copy Share Image
When the logician has resolved each demonstration into a host of elementary operations, all of them correct, he will not yet be in possession of the whole reality, that indefinable something that constitutes the unity ... Now pure logic cannot… — 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
“ Qu'une goutee de vin tombe dans un verre d'eau; quelle que soit la loi du movement interne du liquide, nous verrons bientôt se… — Henri Poincaré Copy Share Image
If that enabled us to predict the succeeding situation with the same approximation, that is all we require, and we should say that the… — Henri Poincare Copy Share Image
“ Le savant doit ordonner ; on fait la science avec des faits comme une maison avec des pierres ; mais une accumulation de… — Henri Poincare Copy Share Image
