Abstract

Philosophers are generally somewhat wary of the hints of number mysticism in the reports about the beliefs and doctrines of the so-called Pythagoreans. It's not clear how much Pythagoras himself (as opposed to his later followers) indulged in speculation about numbers, or in more serious mathematics. But the Pythagoreans whom Aristotle discusses in the Metaphysics had some elaborate stories to tell about how the universe could be explained in terms of numbers—not just its physics but perhaps morality too. Was this just fanciful speculation? Is it muddled as a theory of causality, as Aristotle suggests? I shall try to rehabilitate the passion for numbers by linking it with the notions of harmony and proportion in other thinkers who have a higher credibility factor in the philosophical stakes, and by showing that the desire to reduce quality to quantity, and to discover an exact science that can explain human life and meaning, is a serious philosophical passion that doesn't easily go away. And, after all, why should it?