Book 8
1.24
Alexander in his Successions of Philosophers says that he found in the Pythagorean memoirs the following tenets as well.For the doctrines of Pythagoras(§§ 25-35) Alexander is taken as D. L.’s authority (see Introd. pp. xxvi, xxvii) This indefatigable pedant is known to have written a special work on the Pythagorean system. Our author may not have possessed this work by Alexander, but he probably had access to a public library containing it. In any case he deserves praise for the selection. Between Alexander Polyhistor in the first century b.c. and the threshold of the third century a.d. there had been an enormous increase in neoPythagorean literature, mostly dealing with mystical properties of numbers and with ethics based upon theology. All this D. L. ignores, going back to a Hellenistic document long forgotten.
1.25
The principle of all things is the monad or unit; arising from this monad the undefined dyad or two serves as material substratum to the monad, which is cause; from the monad and the undefined dyad spring numbers; from numbers, points; from points, lines; from lines, plane figures; from plane figures, solid figures; from solid figures, sensible bodies, the elements of which are four, fire, water, earth and air; these elements interchange and turn into one another completely, and combine to produce a universe animate, intelligent, spherical, with the earth at its centre, the earth itself too being spherical and inhabited round about.
