peoples had a philosophy to communicate. No such evidence has yet been discovered, and, so far as we know, the Indians were the only ancient people besides the Greeks who ever had anything that deserves the name. No one now will suggest that Greek philosophy came from India, and indeed everything points to the conclusion that Indian philosophy arose under Greek influence. The chronology of Sanskrit literature is an extremely difficult subject; but, so far as we can see, the great Indian systems are later in date than the Greek philosophies they most nearly resemble. Of course the mysticism of the Upanishads and of Buddhism was of native growth; but, though these influenced philosophy in the strict sense profoundly, they were related to it only as Hesiod and the Orphics were related to Greek scientific thought.
XI.Egyptian mathematics. It would, however, be another thing to say that Greek philosophy originated quite independently of Oriental influences. The Greeks themselves believed their mathematical science to be of Egyptian origin, and they must have known something of Babylonian astronomy. It cannot be an accident that philosophy originated just at the time when communication with these two countries was easiest, and that the very man who was said to have introduced geometry from Egypt is also regarded as the first philosopher. It thus becomes important for us to discover what Egyptian mathematics meant. We shall see that even here, the Greeks were really original.
The Rhind papyrus in the British Museum[1] gives us a glimpse of arithmetic and geometry as they were understood on the banks of the Nile. It is the work of one Aahmes,
- ↑ I am indebted for most of the information which follows to Cantor's Vorlesungen über Geschichte der Mathematik, vol. i. pp. 46-63. See also Gow's Short History of Greek Mathematics, §§ 73-80; and Milhaud, La Science grecque, pp. 91 sqq. The discussion in the last-named work is of special value because it is based on M. Rodet's paper in the Bulletin de la Société Mathématique, vol. vi., which in some important respects supplements the interpretation of Eisenlohr, on which the earlier accounts depend.