He cultivated philosophy, the scope of which is to free the mind implanted within us from the impediments and fetters within which it is confined, without whose freedom none can learn anything sound or true, or perceive the unsoundness in the operation of sense. Pythagoras thought that mind alone sees and hears, while all the rest are blind and deaf. The purified mind should be applied to the discovery of beneficial things, which can be effected by certain arts, which by degrees induce it to the contemplation of eternal and incorporeal things which never vary. This orderliness of perception should begin from consideration of the most minute things, lest by any change the mind should be jarred and withdraw itself, through the failure of continuousness in its subject-matter.

That is the reason he made so much use of the mathematical disciplines and speculations, which are intermediate between the physical and the incorporeal realm, for the reason that, like bodies, they have a three-fold dimension, and yet share the impassibility of incorporeals. [These disciplines he used] as degrees of preparation to the contemplation of the really existent things, by an artistic principle diverting the eyes of the mind from corporeal things, whose manner and state never remain in the same condition, to a desire for true [spiritual] food. By means of these mathematical sciences therefore, Pythagoras rendered men truly happy, by this artistic introduction of truly existent things.