. . . 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
Mathematical discoveries, small or great are never born of spontaneous generation. — Henri Poincare Copy Share Image
This harmony that human intelligence believes it discovers in nature - does it exist apart from that intelligence? No, without doubt, a… — Henri Poincare Copy Share Image
A sane mind should not be guilty of a logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations. — 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
So is not mathematical analysis then not just a vain game of the mind? To the physicist it can only give a… — 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