subtlety of their substance; _Intelligences_, on account of the thought; _Words_, on account of the reason; _Angels_, on account of their services; _Eons_, on account of their manner of subsisting, always equal, without change and without alteration.[274] Pythagoras called them Gods, Heroes, Demons,[275] relative to their respective elevation and the harmonious position of the three worlds which they inhabit. This cosmogonic ternary joined with Creative Unity, constitutes the famous Quaternary, or Sacred Tetrad, the subject of which will be taken up further on. PURIFICATION 4. _Be a good son, just brother, spouse tender, and good father._ The aim of the doctrine of Pythagoras was to enlighten men, to purify them of their vices, to deliver them from their errors, and to restore them to virtue and to truth; and after having caused them to pass through all the degrees of the understanding and intelligence, to render them like unto the immortal gods. This philosopher had for this purpose divided his doctrine into two parts: the purgative part and the unitive part. Through the first, man became purified of his uncleanness, emerged from the darkness of ignorance, and attained to virtue: through the second, he used his acquired virtue to become united to the Divinity through whose means he arrived at perfection. These two parts are found quite distinct in the Golden Verses. Hierocles, who has clearly grasped them, speaks of it in the beginning of his _Commentaries_ and designates them by two words which contain, he said, all the doctrine of Pythagoras, _Purification_ and _Perfection_.[276] The Magians and the Chaldeans, all of whose principles Pythagoras had adopted, were agreed on this point, and in order to express their idea, made use of a parabolical phrase very celebrated among them. “We consume,” they said, “the refuse of matter by the fire of divine love.”[277] An anonymous author who has written an history of Pythagoras, preserved by Photius, said that the disciples of this great man taught that one perfects oneself in three ways: in communing with the gods, in doing good in imitation of the gods, and in departing from this life to rejoin the gods.[278] The first of these ways is contained in the first three lines of the Golden Verses which concern the cult rendered, according to the law and according to the faith, to the Gods, to the glorified Heroes, and to the Spirits. The second, that is, the Purification, begins at the fourth line which makes the subject of this Examination. The third, that is, the union with the Divinity, or Perfection, begins at the fortieth line of my translation: Let not sleep e’er close thy tired eyes. Thus the division that I have believed ought to be made of this short poem is not at all arbitrary, as one sees the judicious Bayle had remarked it before me.[279]