(8) Conformably likewise to the precepts of their master, the Pythagoreans always rose from bed before the rising of the sun; and never wore a ring in which the image of God was engraved. They also carefully observed to adore the rising sun, and avoided wearing a ring of the above mentioned description, lest they should have it about them at funerals, or in some impure place. In a similar manner, they were attentive to the mandate of Pythagoras, not to do any thing without previous deliberation and disquisition; but to form a plan in the morning of what ought to be done [in the course of the day,] and at night to call to mind the actions of the day, by this means at one and the same time exploring their conduct, and exercising their memory.

Thus too, they observed the precept, that if any one of their associates appointed to meet them at a certain place, they should stay there till he came through the day and the night; in this again, the Pythagoreans being accustomed to remember what was said, and not to speak casually. In short Pythagoras ordered them to be attentive to order and method as long as they lived, and not to blaspheme at the time of death, but to die with propitious words, such as are used by those who are sailing out of port into the Adriatic sea.

(1) You adduce, however, as a thing by no means to be despised, “ the artificers of efficacious images .” But I should wonder if these were admitted by any one of the theurgists who survey the true forms of the Gods. For why should any one exchange truly existing beings for images, and descend from the first to the last of things? Or do we not know that all things effected by an adumbration of this kind, have an obscure subsistence, are the phantasms only of that which is true, and appear to be good, but in no respect are so? Other things, also, of this kind that accede, are borne along in a flowing condition of being; but obtain nothing genuine, or perfect, or manifest. But this is evident from the mode of their production: for not divinity, but man is the maker of them. Nor are they produced from uniform and intelligible essences, but from matter, which is assumed for this purpose. What good, therefore, can germinate from matter, and from the material and corporeal-formed powers which are in bodies? Or is not that which derives its subsistence from human art, more imbecile than men themselves, who impart existence to it? By what kind of art, likewise, is this image fashioned? For it is said, indeed, to be fashioned by demiurgic art; but this is effective of true essences, and not of certain images. Hence the image-producing art is distant by a great interval from the seminal production of realities. Besides, neither does it preserve a certain analogy with divine fabrication.

(9) And, in short, it is said that Pythagoras was emulous of the Orphic mode of writing and [piety of] disposition; and that he honored the Gods in a way similar to that of Orpheus, placing them in images and in brass, not conjoined to our forms, but to divine receptacles; because they comprehend and provide for all things; and have a nature and morphe similar to the universe. He also promulgated purifications, and initiations as they are called, which contain the most accurate knowledge of the Gods. And farther still, it is said, that he was the author of a compound divine philosophy and worship of the Gods; having learnt indeed some things from the followers of Orpheus, but others from the Egyptian priests; some from the Chaldæans and Magi; some from the mysteries performed in Eleusis, in Imbrus, Samothracia, and Delos; and some also from those which are performed by the Celtæ, and in Iberia.

It is also said that the Sacred Discourse of Pythagoras is extant among the Latins, and is read not to all, nor by all of them, but by those who are promptly disposed to learn what is excellent, and apply themselves to nothing base. He likewise ordained that men should make libations thrice, and observed that Apollo delivered oracles from the tripod, because the triad is the first number. That sacrifices also should be made to Venus on the sixth day, because this number is the first that partakes of every number , and, when divided in every possible way, receives the power of the numbers subtracted and of those that remain. But that it is necessary to sacrifice to Hercules on the eighth day of the month from the beginning, looking in so doing to his being born in the seventh month.

He further asserted, that it was necessary that he who entered a temple should be clothed with a pure garment, and in which no one had slept; because sleep in the same manner as the black and the brown, is an indication of sluggishness; but purity is a sign of equality and justice in reasoning. He also ordered, that if blood should be found involuntarily spilt in a temple, a lustration should be made, either in a golden vessel, or with the water of the sea; the former of these [i. e. gold] being the most beautiful of things, and a measure by which the price of all things is regulated; but the latter as he conceived being the progeny of a moist nature, and the nutriment of the first and more common matter.

He likewise said, that it was not proper to bring forth children in a temple; because it is not holy that in a temple the divine part of the soul should be bound to the body. He further ordained, that on a festive day neither the hair should be cut, nor the nails paired; not thinking it fit that we should leave the service of the Gods for the purpose of increasing our good. He also said, that a louse ought not to be killed in a temple; conceiving that a divine power ought not to participate of any thing superfluous and corruptible. But that the Gods should be honored with cedar, laurel, cypress, oak, and myrtle; and that the body should not be purified with these, nor should any of them be divided by the teeth.

He likewise ordained, that what is boiled should not be roasted; signifying by this that mildness is not in want of anger. But he would not suffer the bodies of the dead to be burned; following in this the Magi, being unwilling that any thing divine should communicate with a mortal nature. He likewise thought it was holy for the dead to be carried out in white garments; obscurely signifying by this the simple and first nature, according to number and the principle of all things. But above all things he ordained, that an oath should be taken religiously; since that which is behind is long. And he said, that it is much more holy to be injured than to kill a man: for judgment is deposited in Hades, where the soul and its essence, and the first nature of things are [properly] estimated.

Farther still, he ordered that sepulchral chests [i. e. biers] should not be made of cypress, because the sceptre of Jupiter was made of this wood, or for some other mystic reason. He likewise ordained that libations should be performed before the table of Jupiter the Saviour, and of Hercules and the Dioscuri; in so doing celebrating Jupiter as the presiding cause and leader of this nutriment; Hercules, as the power of nature; and the Dioscuri, as the symphony of all things. But he said, that libations should not be offered with closed eyes. For he did not think it fit, that any thing beautiful should be undertaken with shame and bashfulness. Moreover, when it thundered, he ordained that the earth should be touched, in remembrance of the generation of things.

But he ordered that temples should be entered from places on the right hand, and that they should be departed out of from the left hand. For he asserted that the right hand is the principle of what is called the odd number, and is divine; but that the left hand is a symbol of the even number, and of that which is dissolved. And such is the mode which he is said to have adopted in the cultivation of piety. But other particulars which we have omitted concerning it, may be conjectured from what has been said. So that I shall cease to speak further on this subject.

(18) The initiates of old warned their disciples that an image is not a reality but merely the objectification of a subjective idea. The image, of the gods were nor designed to be objects of worship but were to be regarded merely as emblems or reminders of invisible powers and principles. Similarly, the body of man must not be considered as the individual but only as the house of the individual, in the same manner that the temple was the House of God. In a state of grossness and perversion man's body is the tomb or prison of a divine

(7) Pythagoras likewise used pure and white garments, and in a similar manner white and pure coverlids; for he did not use those that were made of wool. And this custom he also delivered to his auditors. In speaking also of the natures superior to man, he employed honorable appellations, and words of good omen, and upon every occasion made mention of and reverenced the Gods; so that while at supper, he performed libations to the divinities, and ordered his disciples to celebrate with hymns the beings that are above us, every day. He paid attention likewise to rumors and omens, prophecies and lots, and in short, to all casual circumstances. Moreover, he sacrificed to the Gods with millet, cakes, honey-combs, and other fumigations.

But he did not sacrifice animals, nor did any one of the contemplative philosophers. His other disciples, however, viz. the acusmatici, and the politici, were ordered by him to sacrifice animals, such as a cock, or a lamb, or some other animal recently born, but not frequently. At the same time they were prohibited from sacrificing oxen. This also is an indication of the honor which he paid to the Gods, that he exhorted his disciples never to employ the names of the Gods uselessly in swearing. On which account also Syllus, one of the Pythagoreans in Crotona, paid a fine for not swearing, though he could have sworn without violating truth. An oath too such as the following is ascribed to the Pythagoreans, as they were unwilling, through reverence, to name Pythagoras; just as they very much abstained from using the names of the Gods. But they manifested the man through the invention of the tetractys,

(2) But if any one think well to accept the sacred compositions as of things simple and unknown in their own nature, and beyond our contemplation, but thinks the imagery of the holy minds in the Oracles is incongruous, and that all this is, so to speak, a rude scenic representation of the angelic names; and further says that the theologians ought, when they have come to the bodily representation of creatures altogether without body, to represent and display them by appropriate and, as far as possible, cognate figures, taken, at any rate, from our most honoured and immaterial and exalted beings, and ought not to clothe the heavenly and Godlike simple essences with the many forms of the lowest creatures to be found on the earth (for the one would perhaps be more adapted to our instruction, and would not degrade the celestial explanations to incongruous dissimilitudes; but the other both does violence without authority to the Divine powers, and likewise leads astray our minds, through dwelling upon these irreverent descriptions); and perhaps he will also think that the super-heavenly places are filled with certain herds of lions, and troops of horses, and bellowing songs of praise, and flocks of birds, and other living creatures, and material and less honourable things, and whatever else the similitudes of the Oracles, in every respect dissimilar, describe, for a so-called explanation, but which verge towards the absurd, and pernicious, and impassioned; now, in my opinion, the investigation of the truth demonstrates the most sacred wisdom of the Oracles, in the descriptions of the Heavenly Minds, taking forethought, as that wisdom does, wholly for each, so as neither, as one may say, to do violence to the Divine Powers, nor at the same time to enthral us in the grovelling passions of the debased imagery. For any one might say that the cause why forms are naturally attributed to the formless, and shapes to the shapeless, is not alone our capacity which is unable immediately to elevate itself to the intelligible contemplations, and that it needs appropriate and cognate instructions which present images, suitable to us, of the formless and supernatural objects of contemplation; but further, that it is most agreeable to the revealing Oracles to conceal, through mystical and sacred enigmas, and to keep the holy and secret truth respecting the supermundane minds inaccessible to the multitude. For it is not every one that is holy, nor, as the Oracles affirm, does knowledge belong to all.

(2) Again, however, assuming a more elevated exordium, I am desirous to exhibit the principles of the worship of the Gods, which Pythagoras and his followers established; viz. that all such particulars as they define with respect to doing or not doing a thing, have for the mark at which they aim, a consent with divinity. This also is with them the principle, [of piety] and their whole life is arranged with a view to follow God . The language, too, of their philosophy is this, that men act ridiculously in exploring good from any other source than the Gods; and that their conduct in this respect resembles that of a man, who in a country governed by a king should reverence one of the magistrates in the city, and neglect him who is the ruler of all of them.

For they were of opinion that such was the conduct of mankind. For since God is, and is the Lord of all things, it is universally acknowledged that good is to be requested of him. For all men impart good to those whom they love, and to those with whom they are delighted; but they give the contrary to good, to those to whom they are contrarily disposed. It is evident, therefore, that those things are to be done, in which God delights. It is, however, not easy for a man to know what these are, unless he obtains this knowledge from one who has heard God, or has heard God himself, or procures it through divine art. Hence also, the Pythagoreans were studious of divination.

For this alone is an interpretation of the benevolence of the Gods. And in short, he will conceive an employment of this kind to be worthy of regard, who believes that there are Gods; but he who thinks that either of these is folly, will also be of opinion that both are foolish. Many of the mandates, however, of the Pythagoreans were introduced from the mysteries; for they did not conceive them to be the productions of arrogance, but to originate from a certain divinity. And in a similar manner, all the Pythagoreans believe such things as are mythologically related of Aristeas the Proconesian, and Abaris the Hyperborean, and other particulars of a like nature. For they consider every thing of this kind to be credible; and of many [such] things they make trial themselves.

They also frequently recollect such-like particulars as appear to be fabulous, as not disbelieving in any thing which may be referred to divinity. A certain person therefore relates, that Eurytus said, that a shepherd feeding his sheep near the tomb of Philolaus, heard some one singing. But the person to whom this was related, did not at all disbelieve the narration, but asked what kind of harmony it was? Both of them, however, were Pythagoreans, and Eurytus was the disciple of Philolaus. It is likewise said, that a certain person told Pythagoras, that he appeared to himself once to converse with his father who was dead, and that he asked Pythagoras what this indicated? Pythagoras replied, that it indicated nothing; but that he had in reality conversed with his father.

As therefore, said he, nothing is signified by my now discoursing with you, so neither is any thing signified by your conversing with your father. Hence, in all particulars of this kind, they did not think that they were stupid, but those that disbelieved in them. For they did not conceive that some things are possible to the Gods, but others impossible, as those fancy who reason sophistically; but they believed that all things are possible to the Gods. And this very assertion is the beginning of the verses, which they ascribe to Linus, and which are as follow:

(1) The mode however of teaching through symbols, was considered by Pythagoras as most necessary. For this form of erudition was cultivated by nearly all the Greeks, as being most ancient. But it was transcendently honored by the Egyptians, and adopted by them in the most diversified manner. Conformably to this, therefore, it will be found, that great attention was paid to it by Pythagoras, if any one clearly unfolds the significations and arcane conceptions of the Pythagoric symbols, and thus developes the great rectitude and truth they contain, and liberates them from their enigmatic form. For they are adapted according to a simple and uniform doctrine, to the great geniuses of these philosophers, and deify in a manner which surpasses human conception.

For those who came from this school, and especially the most ancient Pythagoreans, and also those young men who were the disciples of Pythagoras when he was an old man, viz. Philolaus and Eurytus, Charondas and Zaleucus, and Brysson, the elder Archytas also, and Aristæus, Lysis and Empedocles, Zanolxis and Epimenides, Milo and Leucippus, Alcmæon, Hippasus and Thymaridas, and all of that age, consisting of a multitude of learned men, and who were above measure excellent,—all these adopted this mode of teaching, in their discourses with each other, and in their commentaries and annotations. Their writings also, and all the books which they published, most of which have been preserved even to our time , were not composed by them in a popular and vulgar diction, and in a manner usual with all other writers, so as to be immediately understood, but in such a way as not to be easily apprehended by those that read them.

For they adopted that taciturnity which was instituted by Pythagoras as a law, in concealing after an arcane mode, divine mysteries from the uninitiated, and obscuring their writings and conferences with each other. Hence he who selecting these symbols does not unfold their meaning by an apposite exposition, will cause those who may happen to meet with them to consider them as ridiculous and inane, and as full of nugacity and garrulity. When, however, they are unfolded in a way conformable to these symbols, and become obvious and clear even to the multitude, instead of being obscure and dark, then they will be found to be analogous to prophetic sayings, and to the oracles of the Pythian Apollo. They will then also exhibit an admirable meaning, and will produce a divine afflatus in those who unite intellect with erudition.

Nor will it be improper to mention a few of them, in order that this mode of discipline may become more perspicuous: Enter not into a temple negligently, nor in short adore carelessly, not even though you should stand at the very doors themselves . Sacrifice and adore unshod. Declining from the public ways, walk in unfrequented paths. Speak not about Pythagoric concerns without light. And such are the outlines of the mode adopted by Pythagoras of teaching through symbols.

(20) And make not for yourselves molten or graven gods ; a For they are vanity, And there is no spirit in them ; For they are work of (men's) hands, And all who trust in them, trust in nothing. Serve them not, nor worship them,

(21) Moses speaks only of the Tables of God, which were graven through with the Ten Commandments, so that they could see through them into the Paradise. He hung the Vail before his Face (as is to be seen concerning [the People of] Israel) because Man was become earthly, and therefore must put Virgin-like. off the earthly again, and then he must with Joshua (or Jesus) enter into the paradisical promised Land, and not with Moses stay in the Wilderness of this World, where the Vail of this World hangs before him, before the Paradise.

(2) For they are immediately formed by the accession of fumigations from exhaling vapours; but when the fumigation is mingled with, and diffused through, the whole air, then the idol is likewise immediately dissolved, and is not naturally adapted to remain for the smallest portion of time. Why, therefore, should the man who is a lover of truth, pay attention to these useless delusions? I, indeed, do not think them to be of any value. For if the makers of these images know that the fictions about which they are busily employed, are nothing more than the formations of passive matter, the evil arising from an attention to them will be simple. But in addition to this, these idol-makers are similar to the images in which they confide. And if they pay attention to these idols as if they were Gods, the absurdity will be so great, as neither to be effable by words, nor to be endured in deeds. For a certain divine splendour never illuminates a soul of this kind, because it is not adapted to be imparted to things which are entirely repugnant to it; neither have those things which are detained by dark phantasms a place for its reception. This delusive formation, therefore, of phantasms, will be conversant with shadows, which are very remote from the truth.

(5) With respect to oaths, however, all the Pythagoreans religiously observe them, being mindful of the Pythagoric precept,

First to th’ immortal Gods thy homage pay,

(3) But if any one should blame the descriptions as being incongruous, by saying that it is shameful to attribute shapes so repugnant to the Godlike and most holy Orders, it is enough to reply that the method of Divine revelation is twofold; one, indeed, as is natural, proceeding through likenesses that are similar, and of a sacred character, but the other, through dissimilar forms, fashioning them into entire unlikeness and incongruity. No doubt, the mystical traditions of the revealing Oracles sometimes extol the august Blessedness of the super-essential Godhead, as Word, and Mind, and Essence, manifesting its God-becoming expression and wisdom, both as really being Origin, and true Cause of the origin of things being, and they describe It as light, and call it life. While such sacred descriptions are more reverent, and seem in a certain way to be superior to the material images, they yet, even thus, in reality fall short of the supremely Divine similitude. For It is above every essence and life. No light, indeed, expresses its character, and every description and mind incomparably fall short of Its similitude. But at other times its praises are supermundanely sung, by the Oracles themselves, through dissimilar revelations, when they affirm that it is invisible, and infinite, and incomprehensible; and when there is signified, not what it is, but what it is not. For this, as I think, is more appropriate to It, since, as the secret and sacerdotal tradition taught, we rightly describe its non-relationship to things created, but we do not know its superessential, and inconceivable, and unutterable indefinability. If, then, the negations respecting things Divine are true, but the affirmations are inharmonious, the revelation as regards things invisible, through dissimilar representations, is more appropriate to the hiddenness of things unutterable. Thus the sacred descriptions of the Oracles honour, and do not expose to shame, the Heavenly Orders, when they make them known by dissimilar pictorial forms, and demonstrate through these their supermundane superiority over all. material things. And I do not suppose that any sensible man will gainsay that the incongruous elevate our mind more than the similitudes; for there is a likelihood, with regard to the more sublime representations of heavenly things, that we should be led astray, so as to think that the Heavenly Beings are certain creatures with the appearance of gold, and certain men with the appearance of light, and glittering like lightning, handsome, clothed in bright shining raiment, shedding forth innocuous flame, and so with regard to all the other shapes and appropriate forms, with which the Word of God has depicted the Heavenly Minds. In order that men might not suffer from this, by thinking they are nothing more exalted than their beau tiful appearance, the elevating wisdom of the pious theologians reverently conducts to the incongruous dissimilarities, not permitting our earthly part to rest fixed in the base images, but urging the upward tendency of the soul, and goading it by the unseemliness of the phrases (to see) that it belongs neither to lawful nor seeming truth, even for the most earthly conceptions, that the most heavenly and Divine visions are actually like things so base. Further also this must particularly be borne in mind, that not even one of the things existing is altogether deprived of participation in the beautiful, since, as is evident and the truth of the Oracles affirms, all things are very beautiful.

(4) I think also, it was said by the Pythagoreans, respecting those who teach for the sake of reward, that they show themselves to be worse than statuaries, or those artists who perform their work sitting. For these, when some one orders them to make a statue of Hermes, search for wood adapted to the reception of the proper form; but those pretend that they can readily produce the works of virtue from every nature. The Pythagoreans likewise said, that it is more necessary to pay attention to philosophy, than to parents and agriculture; for it is owing to the latter, indeed, that we live; but philosophers and preceptors are the causes of our living well, and becoming wise, in consequence of having discovered the right mode of discipline and instruction.

Nor did they think fit either to speak or write in such a way, that their conceptions might be obvious to any casual persons; but Pythagoras is said to have taught this in the first place to those that came to him, that, being purified from all incontinence, they should preserve in silence the doctrines they had heard. It is said, therefore, that he who first divulged the theory of commensurable and incommensurable quantities, to those who were unworthy to receive it, was so hated by the Pythagoreans that they not only expelled him from their common association, and from living with them, but also constructed a tomb for him, as one who had migrated from the human and passed into a another life.

Others also say, that the Divine Power was indignant with those who divulged the dogmas of Pythagoras: for that he perished in the sea, as an impious person, who rendered manifest the composition of the icostagonus ; viz. who delivered the method of inscribing in a sphere the dodecaedron, which is one of what are called the five solid figures. But according to others, this happened to him who unfolded the doctrine of irrational and incommensurable quantities. Moreover, all the Pythagoric discipline was symbolic, and resembled enigmas and riddles, consisting of apothegms, in consequence of imitating antiquity in its character; just as the truly divine and Pythian oracles appear to be in a certain respect difficult to be understood and explained, to those who carelessly receive the answers which they give. Such therefore, and so many are the indications respecting Pythagoras and the Pythagoreans, which may be collected from what is disseminated about them.

(2) This, therefore, is nearly the cause of our aberration to a multitude of conceptions. For men being in reality unable to apprehend the reasons of sacred institutions, but conceiving that they are able, are wholly hurried away by their own human passions, and form a conjecture of divine concerns from things pertaining to themselves. In so doing, however, they err in a twofold respect; because they fall from divine natures; and because, being frustrated of these, they draw them down to human passions. But it is requisite not to apprehend after the same manner, things which are performed both to Gods and men, such as genuflexions, adorations, gifts, and first fruits, but to establish the one apart from the other, conformably to the difference between things more and things less honourable; and to reverence the former, indeed, as divine, but to despise the latter as human, and as performed to men. It is proper, likewise, to consider, that the latter produce passions, both in the performer and those to whom they are performed; for they are human and corporeal-formed; but to honour the energy of the former in a very high degree, as being performed through immutable admiration, and a venerable condition of mind, because they are referred to the Gods.

(1) Why, therefore, does the maker of images, who effects these things, desert himself, though he is better than these images, and consists of things of a more excellent nature, and confide in inanimate idols, which are inspired with the representation alone of life, contain a renovated harmony, and which is externally multiform, and are in reality diurnal? Shall we say that something genuine and true is inherent in them? Nothing, however, which is fashioned by human art is genuine and pure. But you will say, that simplicity and uniformity of energy predominate in the whole of their composition. This is very far from being the case. For the idol, according to its visible composition, is mingled from all-various and contrary qualities. Shall we say then, that a certain pure and perfect power is manifest in them? By no means. For a thing of this kind possesses an adventitious multitude of effluxions, collected from many places, and which shows itself to be imbecile and evanescent. But if these particulars, which we have enumerated, are not found to take place in images, is stability present with them, as it is said to be [by the patrons of these images]? By no means, likewise, is this the case. For these idols are extinguished with much greater rapidity than the images which are seen in mirrors.

(6) As they by law are orderly dispos’d;

And reverence thy oath, but honor next

Th’ illustrious heroes.

Hence a certain Pythagorean, being compelled by law to take an oath, yet in order that he might preserve a Pythagoric dogma, though he would have sworn religiously, chose instead of swearing to pay three talents, this being the fine which he was condemned to pay to the defendant. That Pythagoras however thought that nothing was from chance and fortune, but that all events happened conformably to divine providence, and especially to good and pious men, is confirmed by what is related by Androcydes in his treatise on Pythagoric Symbols, of Thymaridas the Tarentine, and a Pythagorean. For when through a certain circumstance he was about to sail from his own country, and his friends who were present were embracing him, and bidding him farewell, some one said to him, when he had now ascended into the ship, May such things happen to you from the Gods, O Thymaridas, as are conformable to your wishes! But he replied, predict better things; for I should rather wish that such things may happen to me as are conformable to the will of the Gods. For he thought it was more scientific and equitable, not to resist or be indignant with divine providence. If, therefore, any one wishes to learn what were the sources whence these men derived so much piety, it must be said, that a perspicuous paradigm of the Pythagoric theology according to numbers, is in a certain respect to be found in the writings of Orpheus. Nor is it to be doubted, that Pythagoras receiving auxiliaries from Orpheus, composed his treatise Concerning the Gods, which on this account also he inscribed the Sacred Discourse, because it contains the flower of the most mystical place in Orpheus; whether this work was in reality written by Pythagoras, as by most authors it is said to have been, or as some of the Pythagoric school who are both learned and worthy of belief assert, was composed by Telauges; being taken by him from the commentaries which were left by Pythagoras himself to his daughter Damo, the sister of Telauges, and which it is said after her death were given to Bitale the daughter of Damo, and to Telauges the son of Pythagoras, and the husband of Bitale, when he was of a mature age. For when Pythagoras died, he was left very young with his mother Theano. In this Sacred Discourse also, or treatise concerning the Gods (for it has both these inscriptions), who it was that delivered to Pythagoras what is there said concerning the Gods, is rendered manifest. For it says: “ that Pythagoras the son of Mnesarchus was instructed in what pertains to the Gods, when he celebrated orgies in the Thracian Libethra, being initiated in them by Aglaophemus; and that Orpheus the son of Calliope, having learnt wisdom from his mother in the mountain Pangæus, said, that the eternal essence of number is the most providential principle of the universe , of heaven and earth, and the intermediate nature; and farther still, that it is the root of the permanency of divine natures, of Gods and dæmons .” From these things, therefore, it is evident that he learnt from the Orphic writers that the essence of the Gods is defined by number. Through the same numbers also, he produced an admirable fore-knowledge and worship of the Gods, both which are especially most allied to numbers. This, however, may be known from hence; for it is necessary to adduce a certain fact, in order to procure belief of what is said. When Abaris performed sacred rites in his accustomed manner, he procured a fore-knowledge of future events, which is studiously cultivated by all the Barbarians, through sacrificing animals, and especially birds; for they are of opinion that the viscera of such animals are subservient to a more accurate inspection. Pythagoras, therefore, not wishing to suppress his ardent pursuit of truth, but to impart it to him through a certain safer way, and without blood and slaughter, and also because he thought that a cock was sacred to the sun, furnished him with a consummate knowledge of all truth, as it is said, through the arithmetical science . He also obtained from piety, faith concerning the Gods. For Pythagoras always proclaimed, that nothing admirable pertaining to the Gods or divine dogmas should be disbelieved , because the Gods are able to accomplish all things. And the divine dogmas in which it is requisite to believe, are those which Pythagoras delivered. Thus, therefore, the Pythagoreans believed in, and assumed the things about which they dogmatised, because they were not the progeny of false opinion. Hence Eurytus the Crotonian, the auditor of Philolaus said, that a shepherd feeding his sheep near the tomb of Philolaus, heard some one singing. But the person to whom this was related, did not at all disbelieve the narration, but asked what kind of harmony it was. Pythagoras himself, also, being asked by a certain person what was indicated by seeming in sleep to converse with his father who was dead, answered that it indicated nothing. For neither, said he, is any thing portended by your speaking with me.

(2) “It is reported that you philosophize to every one you may happen to meet, and publicly, which Pythagoras did not think fit to do. And these things, indeed, O Hipparchus, you learnt with diligent assiduity, but you have not preserved them; having tasted, O excellent man, of Sicilian delicacies, which you ought not to have tasted a second time. If, therefore, you abandon these, I shall rejoice; but if not, you will be dead in my opinion. For it will be pious to call to mind the divine and human precepts of Pythagoras, and not to make the goods of wisdom common to those, who have not even in a dream their soul purified. For it is not lawful to extend to every casual person, things which were obtained with such great labors, and such diligent assiduity, nor to divulge the mysteries of the Eleusinian Goddesses to the profane.

For those who do either of these, are equally unjust and impious. But it will be well to consider what a great length of time we consumed in wiping away the stains which had insinuated themselves into our breasts, till, after the lapse of some years, we became fit recipients of the doctrines of Pythagoras. For as dyers previously purify garments, and then fix in the colors with which they wish them to be imbued, in order that the dye may not be washed away, and may never become evanescent; after the same manner also that divine man prepared the souls of those that were lovers of philosophy, so that they might not deceive him in any of those beautiful and good qualities which he hoped they would possess.

For he did not impart spurious doctrines, nor snares, in which most of the sophists, who are at leisure for no good purpose, entangle young men; but he possessed a scientific knowledge of things human and divine. These men, however, making his doctrine a pretext, perform many dreadful deeds, ensnaring youth not in a becoming nor yet in a casual way. Hence they render their auditors noxious and precipitate. For they infuse theorems and divine doctrines into confused and turbid manners. Just as if some one should pour pure and clear water into a deep well full of mud; for he would disturb the mud, and destroy the clear water. The same thing likewise takes place between those who teach and those who are taught after this manner.

For dense thickets and which are full of briars surround the intellect and heart of those who have not been purely initiated in disciplines, obscure the mild, tranquil, and reasoning power of the soul, and openly impede the intellective part from becoming increased and elevated. It is requisite likewise to call intemperance and avarice the mothers of these thickets; both which are naturally prolific. From intemperance, therefore, unlawful marriages, [unjust] desires, corruptions, intoxication, preternatural pleasures, and certain vehement appetites blossom forth, and which impel their possessors into profundities and precipices. For now desires have compelled some not to abstain either from their mothers or their daughters, and violating law, their country, city, and king, with their hands as it were bound behind them, they are violently dragged along like slaves to extreme destruction.

But from avarice germinate rapine, robbery, parricide, sacrilege, sorcery, and such other evils at are the sisters of these. In the first place, therefore, it is necessary to purify the woods in which these passions have fixed their abode, with fire and sword, and all the machines of disciplines; and having liberated the reasoning power from such mighty evils, we may then implant in and deliver to it something useful and good.” So great and so necessary was the attention which, according to Pythagoras, ought to be paid to disciplines prior to philosophy. He likewise ordained that a singular honor, and the most accurate investigation, should be given to the teaching and participation of his dogmas, as he judiciously examined the conceptions of those that came to him, by various documents, and ten thousand forms of scientific theory.

(2) Hence, on all these accounts, they are adapted to more excellent natures. Take away, therefore, entirely those suspicions of yours which fall off from the truth, viz. “ if he who is invoked is either an Egyptian or uses the Egyptian language .” But rather think that as the Egyptians were the first of men who were allotted the participation of the Gods, the Gods when invoked rejoice in the Egyptian rites. Again, however, if all these were the fraudulent devices of enchanters, how is it possible that things which are in the most eminent degree united to the Gods, which also conjoin us with them, and have powers all but equal to those of superior beings, should be phantastic devices, though without them no sacred operation can be effected? But neither “ do these veils [by which arcana are concealed] originate from our passions, which rumour ascribes to a divine nature .” For beginning, not from our passions, but, on the contrary, from things allied to the Gods, we make use of words adapted to them.

(3) Therefore it was enjoined upon the Hebrews To offer still, though sometimes what was offered Might be commuted, as thou ought'st to know. The other, which is known to thee as matter, May well indeed be such that one errs not If it for other matter be exchanged. But let none shift the burden on his shoulder At his arbitrament, without the turning Both of the white and of the yellow key; And every permutation deem as foolish, If in the substitute the thing relinquished, As the four is in six, be not contained. Therefore whatever thing has so great weight In value that it drags down every balance, Cannot be satisfied with other spending. Let mortals never take a vow in jest; Be faithful and not blind in doing that, As Jephthah was in his first offering, Whom more beseemed to say, 'I have done wrong, Than to do worse by keeping; and as foolish Thou the great leader of the Greeks wilt find, Whence wept Iphigenia her fair face, And made for her both wise and simple weep, Who heard such kind of worship spoken of.'