The mathematic, then, is an art. As such it has its styles and style periods. It is not, as the layman and the philosopher (who is in this matter a layman too) imagine, substantially unalterable, but subject like every art to unnoticed changes form epoch to epoch. The development of the great arts ought never to be treated without an (assuredly not unprofitable) side-glance at contemporary mathematics.

Tension without cosmic pulsation to animate it is the transition to nothingness

When the Englishman speaks of national wealth he means the number of millionaires in the country.

Pacifism means letting the non-pacifists have control ... Pacifism will remain an ideal, war a fact. If the white races are resolved never to wage war again, the colored will act differently and become rulers of the world.

Formerly no one was allowed to think freely; now it is permitted, but no one is capable of it any more. Now people want to think only what they are supposed to think, and this they consider freedom.

Man makes history; woman is history. The reproduction of the species is feminine: it runs steadily and quietly through all species, animal or human, through all short-lived cultures. It is primary, unchanging, everlasting, maternal, plantlike, and cultureless. If we look back we find that it is synonymous with life itself.

I maintain that to-day many an inventor, many a diplomat, many a financier is a sounder philosopher than all those who practise the dull craft of experimental psychology.