ABSTRACT

Any great fForm of human activity - mathematics, science, art, philosophy, literature, religion, and so on - reveals, in some measure, what is most characteristic and most significant in the distinctive nature of Man; and any such Form form at the same time serves as a more or less potent agency for guiding the conduct of human life. In Oswald Spengle's great work one encounters certain very striking conceptions, assumptions, or theses which, though they are there closely interwoven with the idea, have nevertheless nothing whatever to do with the question of its own validity. The humanity of mathematics reveals itself with almost startling brilliance in the fact that mathematics sets before us in perfect light the essential nature of those spiritual phenomena, at once so strange and so familiar, which are everywhere known as ideals. The author says that Tthinking of any attainable degree of excellence in no matter what activity or art, and of perfection ins the same.