Fashion as King is sometimes a very stupid ruler.

Wherever groups disclosed themselves, or could be introduced, simplicity crystallized out of comparative chaos.

I have always hated machinery, and the only machine I ever understood was a wheelbarrow, and that but imperfectly.

Poincaré was a vigorous opponent of the theory that all mathematics can be rewritten in terms of the most elementary notions of classical logic; something more than logic, he believed, makes mathematics what it is.

Even stranger things have happened; and perhaps the strangest of all is the marvel that mathematics should be possible to a race akin to the apes.

Science makes no pretension to eternal truth or absolute truth.

The longer mathematics lives the more abstract - and therefore, possibly also the more practical - it becomes.