(1) And these indeed were such as philosophized. But the greatest part of his disciples consisted of auditors whom they call Acusmatici , who on his first arrival in Italy, according to Nicomachus, being captivated by one popular oration alone, exceeded two thousand in number. These, with their wives and children, being collected into one very large and common auditory, called Homacoïon, and which for its magnitude resembled a city, founded a place which was universally called Magna Græcia. This great multitude of people likewise, receiving laws and mandates from Pythagoras as so many divine precepts, and without which they engaged in no occupation, dwelt together with the greatest general concord, celebrated and ranked by their neighbours among the number of the blessed.

At the same time, as we have already observed, they shared their possessions in common. Such also was their reverence for Pythagoras, that they numbered him with the Gods, as a certain beneficent and most philanthropic dæmon. And some indeed celebrated him as the Pythian, but others as the Hyperborean Apollo. Some again considered him as Pæon, but others as one of the dæmons that inhabit the moon; and others celebrated him as one of the Olympian Gods, who, in order to benefit and correct the mortal life, appeared to the men of those times in a human form, in order that he might extend to them the salutary light of felicity and philosophy. And indeed a greater good never came, nor ever will come to mankind, than that which was imparted by the Gods through this Pythagoras.

Hence, even now the proverb of the long-haired Samian , is applied to the most venerable man. But Aristotle relates, in his Treatise On the Pythagoric Philosophy, that such a division as the following was preserved by the Pythagoreans among their principal arcana; viz. that of rational animals one kind is a God, another man, and another such as Pythagoras. And indeed they very reasonably apprehended him to be a being of this kind, through whom a right conception and conformable to things themselves was introduced of Gods, heroes, and dæmons; of the world, the all-various motion of the spheres and stars, their oppositions, eclipses, and inequalities, their eccentricities and epicycles; of all the natures contained in the heavens and the earth, together with those that have an intermediate subsistence, whether apparent or occult.

Nor was there anything (in all this variety of information) at all contrary to the phenomena, or the conceptions of intellect. To which we may add, that all such disciplines, theories, and scientific investigations, as truly invigorate the eye of the soul, and purify the intellect from the blindness introduced by studies of a different kind, so as to enable it to perceive the true principles and causes of the universe, were unfolded by Pythagoras to the Greeks. But besides all this, the best polity, popular concord, community of possessions among friends, the worship of the gods, piety to the dead, legislation, erudition, silence, abstinence from animals, continence, temperance, sagacity, divinity, and in one word, whatever is anxiously sought after by the lovers of learning, was brought to light by Pythagoras. On all these accounts, therefore, as I have just now said, he was (every where) so transcendently admired.

(1) Universally, however, it deserves to be known, that Pythagoras discovered many paths of erudition, and that he delivered an appropriate portion of wisdom conformable to the proper nature and power of each; of which the following is the greatest argument. When Abaris, the Scythian, came from the Hyperboreans, unskilled and uninitiated in the Grecian learning, and was then of an advanced age, Pythagoras did not introduce him to erudition through various theorems, but instead of silence, auscultation for so long a time, and other trials, he immediately considered him adapted to be an auditor of his dogmas, and instructed him in the shortest way in his treatise On Nature, and in another treatise On the Gods. For Abaris came from the Hyperboreans, being a priest of the Apollo who is there worshipped, an elderly man, and most wise in sacred concerns; but at that time he was returning from Greece to his own country, in order that he might consecrate to the God in his temple among the Hyperboreans, the gold which he had collected.

Passing therefore through Italy, and seeing Pythagoras, he especially assimilated him to the God of whom he was the priest. And believing that he was no other than the God himself, and that no man resembled him, but that he was truly Apollo, both from the venerable indications which he saw about him, and from those which the priest had known before, he gave Pythagoras a dart which he took with him when he left the temple, as a thing that would be useful to him in the difficulties that would befal him in so long a journey. For he was carried by it, in passing through inaccessible places, such as rivers, lakes, marshes, mountains, and the like, and performed through it, as it is said, lustrations, and expelled pestilence and winds from the cities that requested him to liberate them from these evils.

We are informed, therefore, that Lacedæmon, after having been purified by him, was no longer infested with pestilence, though prior to this it had frequently fallen into this evil, through the baneful nature of the place in which it was built, the mountains of Taygetus producing a suffocating heat, by being situated above the city, in the same manner as Cnossus in Crete. And many other similar particulars are related of the power of Abaris. Pythagoras, however, receiving the dart, and neither being astonished at the novelty of the thing, nor asking the reason why it was given to him, but as if he was in reality a God himself, taking Abaris aside, he showed him his golden thigh, as an indication that he was not [wholly] deceived [in the opinion he had formed of him;] and having enumerated to him the several particulars that were deposited in the temple, he gave him sufficient reason to believe that he had not badly conjectured [in assimilating him to Apollo].

Pythagoras also added, that he came [into the regions of mortality] for the purpose of remedying and benefiting the condition of mankind, and that on this account he had assumed a human form, lest men being disturbed by the novelty of his transcendency, should avoid the discipline which he possessed. He likewise exhorted Abaris to remain in that place, and to unite with him in correcting [the lives and manners] of those with whom they might meet; but to share the gold which he had collected, in common with his associates, who were led by reason to confirm by their deeds the dogma, that the possessions of friends are common . Thus, therefore, Pythagoras unfolded to Abaris, who remained with him, as we have just now said, physiology and theology in a compendious way; and instead of divination by the entrails of beasts, he delivered to him the art of prognosticating through numbers, conceiving that this was purer, more divine, and more adapted to the celestial numbers of the Gods.

He delivered also to Abaris other studies which were adapted to him. That we may return, however, to that for the sake of which the present treatise was written, Pythagoras endeavoured to correct and amend different persons, according to the nature and power of each. All such particulars therefore as these, have neither been transmitted to the knowledge of men, nor is it easy to narrate all that has been transmitted to us concerning him.

(1) Since it is usual with all men of sound understandings, to call on divinity, when entering on any philosophic discussion, it is certainly much more appropriate to do this in the consideration of that philosophy which justly receives its denomination from the divine Pythagoras. For as it derives its origin from the Gods, it cannot be apprehended without their inspiring aid. To which we may also add, that the beauty and magnitude of it so greatly surpasses human power, that it is impossible to survey it by a sudden view; but then alone can any one gradually collect some portion of this philosophy, when, the Gods being his leaders, he quietly approaches to it. On all these accounts, therefore, having invoked the Gods as our leaders, and converting both ourselves and our discussion to them, we shall acquiesce in whatever they may command us to do.

We shall not, however, make any apology for this sect having been neglected for a long time, nor for its being concealed by foreign disciplines, and certain arcane symbols, nor for having been obscured by false and spurious writings, nor for many other such-like difficulties by which it has been impeded. For the will of the Gods is sufficient for us, in conjunction with which it is possible to sustain things still more arduous than these. But after the Gods, we shall unite ourselves as to a leader, to the prince and father of this divine philosophy; of whose origin and country we must rise a little higher in our investigation.

(1) As he therefore thus prepared his disciples for erudition, he did not immediately receive into the number of his associates those who came to him for that purpose, till he had made trial of, and judiciously examined them. Hence in the first place he inquired after what manner they associated with their parents, and the rest of their relatives. In the next place he surveyed their unseasonable laughter, their silence, and their speaking when it was not proper; and farther still, what their desires were, with whom they associated, how they conversed with them, in what they especially employed their leisure time in the day, and what were the subjects of their joy and grief. He likewise surveyed, their form, their mode of walking, and the whole motion of their body.

Physiognomically also considering the natural indications of their frame, he made them to be manifest signs of the unapparent manners of the soul. When, therefore, he had thus made trial of some one, he suffered him to be neglected for three years, in the mean time observing how he was disposed with respect to stability, and a true love of learning, and if he was sufficiently prepared with reference to glory, so as to despise [popular] honor. After this, he ordered those who came to him to observe a quinquennial silence, in order that he might experimentally know how they were affected as to continence of speech, the subjugation of the tongue being the most difficult of all victories; as those have unfolded to us who instituted the mysteries.

During this [probationary] time, however, the property of each was disposed of in common, and was committed to the care of those appointed for this purpose, who were called politicians, economizers, and legislators. And with respect to these probationers, those who appeared to be worthy to participate of his dogmas, from the judgment he had formed of them from their life and the modesty of their behaviour, after the quinquennial silence, then became Esoterics , and both heard and saw Pythagoras himself within the veil. For prior to this they participated of his words through the hearing alone, beyond the veil, without at all seeing him, giving for a long time a specimen of their peculiar manners. But if they were rejected they received the double of the wealth which they brought, and a tomb was raised to them as if they were dead by the homacoï ; for thus all the disciples of the man were called.

And if they happened to meet with them afterwards, they behaved to them as if they were other persons, but said that they were dead, whom they had modelled by education, in the expectation that they would become truly good men by the disciplines they would learn. They also were of opinion that those who were more slow in the acquisition of knowledge, were badly organized, and, as I may say, imperfect and barren. If, however, after Pythagoras had physiognomically considered their form, their mode of walking, and every other motion, and the state of their body, and he had conceived good hope respecting them; after likewise the quinquennial silence, and the orgies and initiations from so many disciplines, together with the ablutions of the soul, and so many and such great purifications produced from such various theorems, through which the sagacity and sanctity of the soul is perfectly ingenerated; if, after all this, some one was found to be still sluggish and of a dull intellect, they raised to such a one in the school a certain pillar and monument, (as they are said to have done to Perialus the Thurian, and Cylon the prince of the Sybarites, who were rejected by them) expelled him from the Homacoïon or auditory, loading him with a great quantity of silver and gold.

For these were deposited by them in common, and were committed to the care of certain persons adapted to this purpose, and who were called Economics, from the office which they bore. And if afterwards they happened to meet with such a one, they conceived him to be any other person, than him who according to them was dead. Hence also Lysis, blaming a certain person named Hipparchus, because he had communicated the doctrines of the Pythagoreans to the profane, and to those who acceded to them without disciplines and theory, says as follows:

(1) After this we must narrate how, when he had admitted certain persons to be his disciples, he distributed them into different classes according to their respective merits. For it was not fit that all of them should equally participate of the same things, as they were naturally dissimilar; nor was it indeed right that some should participate of all the most honorable auditions, but others of none, or should not at all partake of them. For this would be uncommunicative and unjust. While therefore he imparted a convenient portion of his discourses to each, he benefited as much as possible all of them, and preserved the proportion of justice, by making each a partaker of the auditions according to his desert.

Hence, in conformity to this method, he called some of them Pythagoreans, but others Pythagorists; just as we denominate some men Attics, but others Atticists. Having therefore thus aptly divided their names, some of them he considered to be genuine, but he ordained that others should show themselves to be the emulators of these. He ordered therefore that with the Pythagoreans possessions should be shared in common, and that they should always live together; but that each of the others should possess his own property apart from the rest, and that assembling together in the same place, they should mutually be at leisure for the same pursuits. And thus each of these modes was derived from Pythagoras, and transmitted to his successors.

Again, there were also with the Pythagoreans two forms of philosophy; for there were likewise two genera of those that pursued it, the Acusmatici, and the Mathematici. Of these however the Mathematici are acknowledged to be Pythagoreans by the rest; but the Mathematici do not admit that the Acusmatici are so, or that they derived their instruction from Pythagoras, but from Hippasus. And with respect to Hippasus, some say that he was a Crotonian, but others a Metapontine. But the philosophy of the Acusmatici consists in auditions unaccompanied with demonstrations and a reasoning process; because it merely orders a thing to be done in a certain way, and that they should endeavour to preserve such other things as were said by him, as so many divine dogmas.

They however profess that they will not speak of them, and that they are not to be spoken of; but they conceive those of their sect to be the best furnished with wisdom, who retained what they had heard more than others. But all these auditions are divided into three species. For some of them indeed signify what a thing is; others what it especially is; but others, what ought, or what ought not, to be done. The auditions therefore which signify what a thing is, are such as, What are the islands of the blessed? The sun and moon. What is the oracle at Delphi? The tetractys. What is harmony? That in which the Syrens subsist . But the auditions which signify what a thing especially is, are such as, What is the most just thing?

To sacrifice. What is the wisest thing? Number. But the next to this in wisdom, is that which gives names to things. What is the wisest of the things that are with us, [i. e. which pertain to human concerns]? Medicine. What is the most beautiful? Harmony. What is the most powerful? Mental decision. What is the most excellent? Felicity. What is that which is most truly asserted? That men are depraved. Hence they say that Pythagoras praised the Salaminian poet Hippodomas, because he sings:

(4) There was, however, a certain person named Hippomedon, an Ægean, a Pythagorean and one of the Acusmatici, who asserted that Pythagoras gave the reasons and demonstrations of all these precepts, but that in consequence of their being delivered to many, and these such as were of a more sluggish genius, the demonstrations were taken away, but the problems themselves were left. Those however of the Pythagoreans that are called Mathematici , acknowledge that these reasons and demonstrations were added by Pythagoras, and they say still more than this, and contend that their assertions are true, but affirm that the following circumstance was the cause of the dissimilitude. Pythagoras, say they, came from Ionia and Samos, during the tyranny of Polycrates, Italy being then in a florishing condition; and the first men in the city became his associates.

But, to the more elderly of these, and who were not at leisure [for philosophy], in consequence of being occupied by political affairs, the discourse of Pythagoras was not accompanied with a reasoning process, because it would have been difficult for them to apprehend his meaning through disciplines and demonstrations; and he conceived they would nevertheless be benefited by knowing what ought to be done, though they were destitute of the knowledge of the why : just as those who are under the care of physicians, obtain their health, though they do not hear the reason of every thing which is to be done to them. But with the younger part of his associates, and who were able both to act and learn,—with these he conversed through demonstration and disciplines.

These therefore are the assertions of the Mathematici, but the former, of the Acusmatici. With respect to Hippasus however especially, they assert that he was one of the Pythagoreans, but that in consequence of having divulged and described the method of forming a sphere from twelve pentagons, he perished in the sea, as an impious person, but obtained the renown of having made the discovery. In reality, however, this as well as every thing else pertaining to geometry, was the invention of that man ; for thus without mentioning his name, they denominate Pythagoras. But the Pythagoreans say, that geometry was divulged from the following circumstance: A certain Pythagorean happened to lose the wealth which he possessed; and in consequence of this misfortune, he was permitted to enrich himself from geometry.

But geometry was called by Pythagoras Historia . And thus much concerning the difference of each mode of philosophising, and the classes of the auditors of Pythagoras. For those who heard him either within or without the veil, and those who heard him accompanied with seeing, or without seeing him, and who are divided into interior and exterior auditors, were no other than these. And it is requisite to arrange under these, the political, economic and legislative Pythagoreans.

(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.

(1) [Trismegistus] God, O Asclepius, hath brought thee unto us that thou mayest hear a Godly sermon, a sermon such as well may seem of all the previous ones we’ve [either] uttered, or with which we’ve been inspired by the Divine, more Godly than the piety of [ordinary] faith. If thou with eye of intellect shalt see this Word thou shalt in thy whole mind be filled quite full of all things good. If that, indeed, the “many” be the “good,” and not the “one,” in which are “all.” Indeed the difference between the two is found in their agreement,—“All” is of “One” or “One” is “All.” So closely bound is each to other, that neither can be parted from its mate. But this with diligent attention shalt thou learn from out the sermon that shall follow [this]. But do thou, O Asclepius, go forth a moment and call in the one who is to hear. (And when he had come in, Asclepius proposed that Ammon too should be allowed to come. Thereon Thrice-greatest said:)

[Trismegistus] There is no cause why Ammon should be kept away from us. For we remember how we have ourselves set down in writing many things to his address, as though unto a son most dear and most beloved, of physics many things, of ethics [too] as many as could be. It is, however, with thy name I will inscribe this treatise. But call, I prithee, no one else but Ammon, lest a most pious sermon on a so great theme be spoilt by the admission of the multitude. For ’tis the mark of an unpious mind to publish to the knowledge of the crowd a tractate brimming o’er with the full Greatness of Divinity. (When Ammon too had come within the holy place, and when the sacred group of four was now complete with piety and with God’s goodly presence—to them, sunk in fit silence reverently, their souls and minds pendent on Hermes’ lips, thus Love Divine began to speak.) II

(1) Hermes, the God who presides over language, was formerly very properly considered as common to all priests; and the power who presides over the true science concerning the Gods is one and the same in the whole of things. Hence our ancestors dedicated the inventions of their wisdom to this deity, inscribing all their own writings with the name of Hermes. If, therefore, we participate of a portion of this God, adapted and commensurate to our powers, you do well to propose your theological doubts to the priests, as friends, and to make these doubts known to them. I also very properly conceiving that the epistle sent to my disciple Anebo was written to me, shall give you a true answer to your inquiries. For it would not be becoming, that Pythagoras and Plato, Democritus and Eudoxus, and many other of the ancient Greeks, should have obtained appropriate instruction from the sacred scribes of their time, but that you who are our contemporary, and think conformably to those ancients, should be frustrated of your wish by those who are now living, and who are called common preceptors. I, therefore, thus betake myself to the present discussion; and do you, if you please, conceive that the same person to whom you sent the letter returns you an answer. Or, if it should seem fit to you, admit it to be me who discourses with you in writing, or some other prophet of the Egyptians, for this is of no consequence. Or, which I think is still better, dismiss the consideration whether the speaker is an inferior or a superior character, but direct your attention to what is said, so as readily to excite your mind to survey whether what is asserted is true or false.

(1) Conceiving, however, that the first attention which should be paid to men, is that which takes place through the senses; as when some one perceives beautiful figures and forms, or hears beautiful rythms and melodies, he established that to be the first erudition which subsists through music, and also through certain melodies and rythms, from which the remedies of human manners and passions are obtained, together with those harmonies of the powers of the soul which it possessed from the first. He likewise devised medicines calculated to repress and expel the diseases both of bodies and souls. And by Jupiter that which deserves to be mentioned above all these particulars is this, that he arranged and adapted for his disciples what are called apparatus and contrectations, divinely contriving mixtures of certain diatonic, chromatic, and euharmonic melodies, through which he easily transferred and circularly led the passions of the soul into a contrary direction, when they had recently and in an irrational and clandestine manner been formed; such as sorrow, rage, and pity, absurd emulation and fear, all-various desires, angers, and appetites, pride, supineness, and vehemence.

For he corrected each of these by the rule of virtue, attempering them through appropriate melodies, as through certain salutary medicines. In the evening, likewise, when his disciples were retiring to sleep, he liberated them by these means from diurnal perturbations and tumults, and purified their intellective power from the influxive and effluxive waves of a corporeal nature; rendered their sleep quiet, and their dreams pleasing and prophetic. But when they again rose from their bed, he freed them from nocturnal heaviness, relaxation and torpor, through certain peculiar songs and modulations, produced either by simply striking the lyre, or employing the voice. Pythagoras, however, did not procure for himself a thing of this kind through instruments or the voice, but employing a certain ineffable divinity, and which it is difficult to apprehend, he extended his ears, and fixed his intellect in the sublime symphonies of the world, he alone hearing and understanding, as it appears, the universal harmony and consonance of the spheres, and the stars that are moved through them, and which produce a fuller and more intense melody than any thing effected by mortal sounds.

This melody also was the result of dissimilar and variously differing sounds, celerities, magnitudes, and intervals, arranged with reference to each other in a certain most musical ratio, and thus producing a most gentle, and at the same time variously beautiful motion and convolution. Being therefore irrigated as it were with this melody, having the reason of his intellect well arranged through it, and as I may say, exercised, he determined to exhibit certain images of these things to his disciples as much as possible, especially producing an imitation of them through instruments, and through the mere voice alone. For he conceived that by him alone, of all the inhabitants of the earth, the mundane sounds were understood and heard, and this from a natural fountain itself and root.

He therefore thought himself worthy to be taught, and to learn something about the celestial orbs, and to be assimilated to them by desire and imitation, as being the only one on the earth adapted to this by the conformation of his body, through the dæmoniacal power that inspired him. But he apprehended that other men ought to be satisfied in looking to him, and the gifts he possessed, and in being benefited and corrected through images and examples, in consequence of their inability to comprehend truly the first and genuine archetypes of things. Just, indeed, as to those who are incapable of looking intently at the sun, through the transcendent splendor of his rays, we contrive to exhibit the eclipses of that luminary, either in the profundity of still water, or through melted pitch, or through some darkly-splendid mirror; sparing the imbecility of their eyes, and devising a method of representing a certain repercussive light, though less intense than its archetype, to those who are delighted with a thing of this kind. Empedocles also appears to have obscurely signified this about Pythagoras, and the illustrious and divinely-gifted conformation of his body above that of other men, when he says:

(1) Of his wisdom, however, the commentaries written by the Pythagoreans afford, in short, the greatest indication; for they adhere to truth in every thing, and are more concise than all other compositions, so that they savour of the ancient elegance of style, and the conclusions are exquisitely deduced with divine science. They are also replete with the most condensed conceptions, and are in other respects various and diversified both in the form and the matter. At one and the same time likewise, they are transcendently excellent, and without any deficiency in the diction, and are in an eminent degree full of clear and indubitable arguments, accompanied with scientific demonstration, and as it is said, the most perfect syllogism; as he will find to be the case, who, proceeding in such paths as are fit, does not negligently peruse them.

This science, therefore, concerning intelligible natures and the Gods, Pythagoras delivers in his writings from a supernal origin. Afterwards, he teaches the whole of physics, and unfolds completely ethical philosophy and logic. He likewise delivers all-various disciplines, and the most excellent sciences. And in short there is nothing pertaining to human knowledge which is not accurately discussed in these writings. If therefore it is acknowledged, that of the [Pythagoric] writings which are now in circulation, some were written by Pythagoras himself, but others consist of what he was heard to say, and on this account are anonymous, but are referred to Pythagoras as their author;—if this be the case, it is evident that he was abundantly skilled in all wisdom.

But it is said that he very much applied himself to geometry among the Egyptians. For with the Egyptians there are many geometrical problems; since it is necessary that from remote periods, and from the time of the Gods themselves, on account of the increments and decrements of the Nile, those that were skilful should have measured all the Egyptian land which they cultivated. Hence also geometry derived its name. Neither did they negligently investigate the theory of the celestial orbs, in which likewise Pythagoras was skilled. Moreover, all the theorems about lines appear to have been derived from thence. For it is said that what pertains to computation and numbers, was discovered in Phœnicia. For some persons refer the theorems about the celestial bodies to the Egyptians and Chaldeans in common.

It is said therefore, that Pythagoras having received and increased all these [theories,] imparted the sciences, and at the same time demonstrated them to his auditors with perspicuity and elegance. And he was the first indeed that denominated philosophy, and said that it was the desire, and as it were love of wisdom. But he defined wisdom to be the science of the truth which is in beings. And he said that beings are immaterial and eternal natures, and alone possess an efficacious power, such as incorporeal essences. But that the rest of things are only homonymously beings, and are so denominated through the participation of real beings, and such are corporeal and material forms, which are generated and corrupted, and never truly are.

And that wisdom is the science of things which are properly beings, but not of such as are homonymously so. For corporeal natures are neither the objects of science nor admit of a stable knowledge, since they are infinite and incomprehensible by science, and are as it were, non-beings, when compared with universals, and are incapable of being properly circumscribed by definition. It is impossible however to conceive that there should be science of things which are not naturally the objects of science. Hence it is not probable that there will be a desire of science which has no subsistence, but rather that desire will be extended to things which are properly beings, which exist with invariable permanency, and are always consubsistent with a true appellation.

For it happens that the perception of things which are homonymously beings, and which are never truly what they seem to be, follows the apprehension of real beings; just as the knowledge of particulars follows the science of universals. For he who knows universals properly, says Archytas, will also have a clear perception of the nature of particulars. Hence things which have an existence are not alone, nor only-begotten, nor simple, but they are seen to be various and multiform. For some of them are intelligible and incorporeal natures, and which are denominated beings; but others are corporeal and fall under the perception of sense, and by participation communicate with that which has a real existence. Concerning all these therefore, he delivered the most appropriate sciences, and left nothing [pertaining to them] uninvestigated.

He likewise unfolded to men those sciences which are common [ to all disciplines ,] as for instance the demonstrative, the definitive, and that which consists in dividing, as may be known from the Pythagoric commentaries. He was also accustomed to pour forth sentences resembling Oracles to his familiars in a symbolical manner, and which in the greatest brevity of words contained the most abundant and multifarious meaning, like the Pythian Apollo through certain oracles, or like nature herself through seeds small in bulk, the former exhibiting conceptions, and the latter effects, innumerable in multitude, and difficult to be understood. Of this kind is the sentence, The beginning is the half of the whole , which is an apothegm of Pythagoras himself.

But not only in the present hemistich, but in others of a similar nature, the most divine Pythagoras has concealed the sparks of truth; depositing as in a treasury for those who are capable of being enkindled by them, and with a certain brevity of diction, an extension of theory most ample and difficult to be comprehended, as in the following hemistich:

(4) This therefore was the form of his wisdom which is so admirable.

It is also said, that of the sciences which the Pythagoreans honored, music, medicine and divination, were not among the least. But they were habitually silent and prompt to hear, and he who was able to hear [in a proper manner] was praised by them. Of medicine, however, they especially embraced the diætetic species, and in the exercise of this were most accurate. And in the first place, indeed, they endeavoured to learn the indications of symmetry, of labor, food, and repose. In the next place, with respect to the preparation of food, they were nearly the first who attempted to employ themselves in it, and to define the mode in which it should be performed. The Pythagoreans likewise employed cataplasms more frequently than their predecessors; but they in a less degree approved of medicated ointments. These however they principally used in the cure of ulcerations. But incisions and burnings they admitted the least of all things. Some diseases also they cured by incantations. Pythagoras, however, thought that music greatly contributed to health, if it was used in a proper manner. The Pythagoreans likewise employed select sentences of Homer and Hesiod for the amendment of souls. But they thought it was necessary to retain and preserve in the memory things which they had learnt and heard; and that it was requisite to be furnished with disciplines and auditions, to as great an extent as there was an ability of learning and remembering; the former of these being the power by which knowledge is obtained, but the latter, the power by which it is preserved. Hence, they very much honored the memory, abundantly exercised, and paid great attention to it. In learning too, they did not dismiss what they were taught, till they had firmly comprehended the first rudiments of it; and they recalled to their memory what they had daily heard, after the following manner: A Pythagorean never rose from his bed till he had first recollected the transactions of the former day; and he accomplished this by endeavouring to remember what he first said, or heard, or ordered his domestics to do when he was rising, or what was the second and third thing which he said, heard, or commanded to be done. And the same method was adopted with respect to the remainder of the day. For again, he endeavoured to recollect who was the first person that he met, on leaving his house, or who was the second; and with whom he in the first, or second, or third place discoursed. And after the same manner he proceeded in other things. For he endeavoured to resume in his memory all the events of the whole day, and in the very same order in which each of them happened to take place. But if they had sufficient leisure after rising from sleep, they tried after the same manner to recollect the events of the third preceding day. And thus they endeavoured to exercise the memory to a great extent. For there is not any thing which is of greater importance with respect to science, experience and wisdom, than the ability of remembering. From these studies therefore, it happened that all Italy was filled with philosophers, and this place, which before was unknown, was afterwards on account of Pythagoras called Magna Græcia. Hence also it contained many philosophers, poets, and legislators. For the rhetorical arts, demonstrative reasonings, and the laws written by them, were transferred from Italy to Greece. Those likewise who make mention of physics, adduce as the principal physiologists Empedocles and the Elean Parmenides. Those too, who wish to cite sentences, pertaining to the conduct of human life, adduce for this purpose the conceptions of Epicharmus. And nearly all philosophers make use of these. Thus much therefore concerning the wisdom of Pythagoras, how in a certain respect he very much impelled all his auditors to the pursuit of it, as far as they were adapted to its participation, and how perfectly it was delivered by him.

(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.

(33) The Turbæ Philosophorum is one of the earliest known documents on alchemy in the Latin tongue. Its exact origin is unknown. It is sometimes referred to as The Third Pythagorical Synod. As its name implies, it is an assembly of the sages and sets forth the alchemical viewpoints of many of the early Greek philosophers. The symbol reproduced above is from a rare edition of the Turbæ Philosophorum published in Germany in 1750, and represents by a hermaphroditic figure the accomplishment of the magnum opus. The active and passive principles of Nature were often depicted by male and female figures, and when these two principle, were harmoniously conjoined in any one nature or body it was customary to symbolize this state of perfect equilibrium by the composite figure above shown.

(9) Zoroaster the Magus, Pythagoras showed to be a Persian. Of the secret books of this man, those who follow the heresy of Prodicus boast to be in possession.

(54) The most famous of the Pythagorean fragments are the Golden Verses, ascribed to Pythagoras himself, but concerning whose authorship there is an element of doubt. The Golden Verses contain a brief summary of the entire system of philosophy forming the basis of the educational doctrines of Crotona, or, as it is more commonly known, the Italic School. These verses open by counseling the reader to love God, venerate the great heroes, and respect the dæmons and elemental inhabitants. They then urge man to think carefully and industriously concerning his daily life, and to prefer the treasures of the mind and soul to accumulations of earthly goods. The verses also promise man that if he will rise above his lower material nature and cultivate self-control, he will ultimately be acceptable in the sight of the gods, be reunited with them, and partake of their immortality. (It is rather significant to note that Plato paid a great price for some of the manuscripts of Pythagoras which had been saved from the destruction of Crotona. See Historia Deorum Fatidicorum, Geneva, 1675.)

(2) “There was a man among them [i. e. among the Pythagoreans] who was transcendent in knowledge, who possessed the most ample stores of intellectual wealth, and who was in the most eminent degree the adjutor of the works of the wise. For when he extended all the powers of his intellect, he easily beheld every thing, as far as to ten or twenty ages of the human race.”

(1) Mind: Master this sermon (logos), then, Thrice-greatest Hermes, and bear in mind the spoken words; and as it hath come unto Me to speak, I will no more delay. Hermes: As many men say many things, and these diverse, about the All and Good, I have not learned the truth. Make it, then, clear to me, O Master mine! For I can trust the explanation of these things, which comes from Thee alone.

(1) That which follows after this, we shall no longer discuss generally, but direct our attention particularly to the works resulting from the virtues of Pythagoras. And we shall begin in the first place from the Gods, as it is usual to do, and endeavour to exhibit his piety, and the admirable works which he performed. Let this, therefore, be one specimen of his piety, which also we have before mentioned, that he knew what his soul was, and whence it came into the body, and also its former lives, and that of these things he gave most evident indications. After this also, let the following be another specimen; that once passing over the river Nessus with many of his associates, he spoke to it, and the river in a distinct and clear voice, in the hearing of all his followers, answered, Hail Pythagoras!

Farther still, nearly all historians of his life confidently assert, that in one and the same day he was present at Metapontum in Italy, and Tauromenium in Sicily, and discoursed in common with his disciples in both places, though these cities are separated from each other by many stadia both by land and sea, and cannot be passed through in a great number of days. The report, also, is very much disseminated, that he showed his golden thigh to the Hyperborean Abaris, who said that he resembled the Apollo among the Hyperboreans, and of whom Abaris was the priest; and that he did this in order that Abaris might apprehend this to be true, and that he was not deceived in his opinion.

Ten thousand other more divine and more admirable particulars likewise are uniformly and unanimously related of the man : such as infallible predictions of earthquakes , rapid expulsions of pestilence and violent winds, instantaneous cessations of the effusion of hail, and a tranquillization of the waves of rivers and seas, in order that his disciples might easily pass over them. Of which things also, Empedocles the Agrigentine, Epimenides the Cretan, and Abaris the Hyperborean, receiving the power of effecting, performed certain miracles of this kind in many places. Their deeds, however, are manifest. To which we may add, that Empedocles was surnamed an expeller of winds ; Epimenides, an expiator ; and Abaris, a walker on air ; because being carried on the dart which was given to him by the Hyperborean Apollo, he passed over rivers and seas and inaccessible places, like one walking on the air.

Certain persons likewise are of opinion, that Pythagoras did the same thing, when in the same day he discoursed with his disciples at Metapontum and Tauromenium. It is also said, that he predicted there would be an earthquake from the water of a well which he had tasted; and that a ship which was sailing with a prosperous wind, would be merged in the sea. And let these, indeed, be the indications of his piety.

(7) Among the fragmentary writings believed to have come from the stylus of Hermes are two famous works. The first is the Emerald Table, and the second is the Divine Pymander, or, as it is more commonly called, The Shepherd of Men, a discussion of which follows. One outstanding point in connection with Hermes is that he was one of the few philosopher-priests of pagandom upon whom the early Christians did not vent their spleen. Some Church Fathers went so far as to declare that Hermes exhibited many symptoms of intelligence, and that if he had only been born in a more enlightened age so that he might have benefited by their instructions he would have been a really great man!