If nature were not beautiful, it would not be worth knowing, and if nature were not worth knowing, life would not be worth living

A very small cause, which escapes us, determines a considerable effect which we cannot ignore, and we say that this effect is due to chance.

All great progress takes place when two sciences come together, and when their resemblance proclaims itself, despite the apparent disparity of their substance.

Geometry is not true, it is advantageous.

It is not order only, but unexpected order, that has value.

In the old days when people invented a new function they had something useful in mind.

All of mathematics is a tale about groups.