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.
Oswald SpenglerThis is our purpose: to make as meaningful as possible this life that has been bestowed upon us . . . to live in such a way that we may be proud of ourselves, to act in such a way that some part of us lives on. This is our purpose: to make as meaningful as possible this life that has been bestowed upon us . . . to live in such a way that we may be proud of ourselves, to act in such a way that some part of us lives on.
Oswald SpenglerThe question of whether world peace will ever be possible can only be answered by someone familiar with world history. To be familiar with world history means, however, to know human beings as they have been and always will be. There is a vast difference, which most people will never comprehend, between viewing future history as it will be and viewing it as one might like it to be. Peace is a desire, war is a fact; and history has never paid heed to human desires and ideals.
Oswald SpenglerWe have not chosen this time. We cannot help it if we are born as men of the early winter of full Civilization, instead of on the golden summit of a ripe Culture, in a Phidias or a Mozart time. Everything depends on our seeing our own position, our destiny, clearly, on our realizing that though we may lie to ourselves about it, we cannot evade it. He who does not acknowledge this in his heart, ceases to be counted among the men of his generation, and remains either a simpleton, a charlatan, or a pedant.
Oswald Spengler