It is the Late city that first defies the land, contradicts Nature in the lines of its silhouette, denies all Nature. It wants to be something different from and higher than Nature. These high-pitched gables, these Baroque cupolas, spires, and pinnacles, neither are, nor desire to be, related with anything in Nature. And then begins the gigantic megalopolis, the city-as-world, which suffers nothing beside itself and sets about annihilating the country picture.

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.

Every action alters the soul of the doer.

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.

Christian theology is the grandmother of Bolshevism.

One day the last portrait of Rembrandt and the last bar of Mozart will have ceased to be — though possibly a colored canvas and a sheet of notes will remain — because the last eye and the last ear accessible to their message will have gone.

One does not reflect on a point of honor - that is already dishonor. To submit to insult, to forget a humiliation, to quail before an enemy - all these are signs of a life become worthless and superfluous.