Book 1
3
Pythagoras the Samian, the son of Mnesarchus, from another origin deduces the principles of all things; it was he who first gave philosophy its name. He assigns the first principles to be numbers, and those symmetries resulting from them which he styles harmonies; and the result of both combined he terms elements, called geometrical. Again, he enumerates unity and the indefinite binary number amongst the principles. One of these principles tends to an efficient and forming cause, which is Mind, and that is God; the other to the passive and material part, and that is the visible world. Moreover the nature of number (he saith) consists in the ten; for all people, whether Grecians or barbarians, reckon from one to ten, and thence return to one again. Farther he avers the virtue of ten consists in the quaternion; the reason whereof is this,— if any person reckon from one, and by addition place his numbers so as to take in the quaternary, he shall complete the number ten; if he exceed the four, he shall go beyond the ten; for one, two, three, and four being cast up together make up ten. The nature of numbers, therefore, if we regard the units, resteth in the ten; but if we regard its power, in the four. Therefore the Pythagoreans say that their most sacred oath is by that God who delivered to them the quaternary. By th’ founder of the sacred number four, Eternal Nature’s font and root, they swore.
