A resolute leader who collects ten thousand adventurers about him can do as he pleases. Were the whole world a single Imperium, it would thereby become merely the maximum conceivable field for the exploits of such conquering heroes.

To-day we live so cowed under the bombardment of this intellectual artillery that hardly anyone can attain to the inward detachment that is required for a clear view of the monstrous drama. The will-to-power operating under a pure democratic disguise has finished off its masterpiece so well that the object's sense of freedom is actually flattered by the most thorough-going enslavement that has ever existed.

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.

What is truth? For the multitude, that which it continually reads and hears.

At last, in the gray dawn of Civilization the fire in the Soul dies down. The dwindling powers rise to one more, half-successful, effort of creation, and produce the Classicism that is common to all dying Cultures. The soul thinks once again, and in Romanticism looks back piteously to its childhood; then finally, weary, reluctant, cold, it loses its desire to be, and, as in Imperial Rome, wishes itself out of the overlong daylight and back in the darkness of protomysticism in the womb of the mother in the grave.

The last man of the world-city no longer wants to live--he may cling to life as an individual, but as a type, as an aggregate, no, for it is a characteristic of this collective existence that it eliminates the terror of death.

Philosophy, the love of Wisdom, is at the very bottom defence against the incomprehensible.