Mathematical discoveries, small or great are never born of spontaneous generation.

It is a misfortune for a science to be born too late when the means of observation have become too perfect. That is what is happening at this moment with respect to physical chemistry; the founders are hampered in their general grasp by third and fourth decimal places.

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

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

The mind uses its faculty for creativity only when experience forces it to do so.

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

A first fact should surprise us, or rather would surprise us if we were not used to it. How does it happen there are people who do not understand mathematics? If mathematics invokes only the rules of logic, such as are accepted by all normal minds...how does it come about that so many persons are here refractory?