Abstract

THE notion of quantity is basic and it is no surprise that Aristotle refers to it in many places. There are two main discussions, that in the Categories—a part of the Organon which is of great interest to modern logicians and that spread over the physical treatises. Naturally the two treatments overlap, but modern logic is at a far remove from classical cosmology and it is fairly easy to separate them at their sources. This I have attempted to do by considering quantity as an attribute and as divisible. There follows a brief consideration of the notions arrived at for their relevance to modern mathematics with particular reference to the real number system and the notion of infinity.