The life of a mathematician is dominated by an insatiable curiosity, a desire bordering on passion to solve the problems he is studying..

On foundations we believe in the reality of mathematics, but of course, when philosophers attack us with their paradoxes, we rush to hide behind form….

Analytical geometry has never existed. There are only people who do linear geometry badly, by taking coordinates, and they call this analytical geome….

Now ... the basic principle of modern mathematics is to achieve a complete fusion [of] 'geometric' and 'analytic' ideas..

It is indubitable that a 50-year-old mathematician knows the mathematics he learned at 20 or 30, but has only notions, often rather vague, of the mat….

We have not begun to understand the relationship between combinatorics and conceptual mathematics..