. . . by natural selection our mind has adapted itself to the conditions of the external world. It has adopted the… — 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… — Henri Poincare Copy Share Image
There are no solved problems; there are only problems that are more or less solved. — 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
It is by logic that we prove, but by intuition that we discover. To know how to criticize is good, to know… — 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
[T]he different branches of Arithmetic - Ambition [G]eometry is not true, it is advantageous. — Henri Poincare Copy Share Image
Mathematical discoveries, small or great are never born of spontaneous generation They always presuppose a soil seeded with preliminary knowledge and well… — Henri Poincare Copy Share Image
Mathematics is the art of giving the same name to different things. [As opposed to the quotation: Poetry is the art of… — Henri Poincare Copy Share Image
...the feeling of mathematical beauty, of the harmony of numbers and of forms, of geometric elegance. It is a genuinely aesthetic feeling,… — Henri Poincare Copy Share Image
Geometry is the art of correct reasoning from incorrectly drawn figures. — Henri Poincare Copy Share Image
Later generations will regard Mengenlehre (set theory) as a disease from which one has recovered. — 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… — Henri Poincare Copy Share Image
Thus, be it understood, to demonstrate a theorem, it is neither necessary nor even advantageous to know what it means. The geometer… — Henri Poincare Copy Share Image
Talk with M. Hermite. He never evokes a concrete image, yet you soon perceive that the more abstract entities are to him… — 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