It is by logic we prove. It is by intuition we discover..

Deviner avant de démontrer! Ai-je besoin de rappeler que c'est ainsi que se sont faites toutes les découvertes importantes..

Astronomy is useful because it raises us above ourselves; it is useful because it is grand; .... It shows us how small is man's body, how great his m….

It may happen that small differences in the initial conditions produce very great ones in the final phenomena..

It is far better to foresee even without certainty than not to foresee at all..

If we knew exactly the laws of nature and the situation of the universe at the initial moment, we could predict exactly the situation of the same uni….

Thought is only a flash between two long nights, but this flash is everything..

But all of my efforts served only to make me better acquainted with the difficulty, which in itself was something..

What is it indeed that gives us the feeling of elegance in a solution, in a demonstration?.

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..

Einstein does not remain attached to the classical principles, and when presented with a problem in physics he quickly envisages all of its possibili….

This harmony that human intelligence believes it discovers in nature - does it exist apart from that intelligence? No, without doubt, a reality compl….

Analyse data just so far as to obtain simplicity and no further..

It is with logic that one proves; it is with intuition that one invents..

Thus, be it understood, to demonstrate a theorem, it is neither necessary nor even advantageous to know what it means. The geometer might be replaced….

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….

A sane mind should not be guilty of a logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations..

Consider now the Milky Way. Here also we see an innumerable dust, only the grains of this dust are no longer atoms but stars; these grains also move ….

How is it that there are so many minds that are incapable of understanding mathematics? ... the skeleton of our understanding, ... and actually they ….

We also know how cruel the truth often is, and we wonder whether delusion is not more consoling..

Mathematical discoveries, small or great are never born of spontaneous generation They always presuppose a soil seeded with preliminary knowledge and….