The quaternion, then, advocated by Valentinus, is “a source of the everlasting nature having roots;” and Sophia (is the power) from whom the animal and material creation has derived its present condition. But Sophia is called “Spirit,” and the Demiurge “Soul,” and the Devil “the ruler of this world,” and Beelzebub “the (ruler) of demons.” These are the statements which they put forward. But further, in addition to these, rendering, as I have previously mentioned, their entire system of doctrine (akin to the) arithmetical (art), (they determine) that the thirty Æons within the Pleroma have again, in addition to these, projected other Æons, according to the (numerical) proportion (adopted by the Pythagoreans), in order that the Pleroma might be formed into an aggregate, according to a perfect number. For how the Pythagoreans divided (the celestial sphere) into twelve and thirty and sixty parts, and how they have minute parts of diminutive portions, has been made evident.