(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.

(1) It is also said, that Pythagoras was the first who called himself a philosopher; this not being a new name, but previously instructing us in a useful manner in a thing appropriate to the name. For he said that the entrance of men into the present life, resembled the progression of a crowd to some public spectacle. For there men of every description assemble with different views; one hastening to sell his wares for the sake of money and gain; but another that he may acquire renown by exhibiting the strength of his body; and there is also a third class of men, and those the most liberal, who assemble for the sake of surveying the places, the beautiful works of art, the specimens of valor, and the literary productions which are usually exhibited on such occasions.

Thus also in the present life, men of all-various pursuits are collected together in one and the same place. For some are influenced by the desire of riches and luxury; others by the love of power and dominion; and others are possessed with an insane ambition for glory. But the most pure and unadulterated character, is that of the man who gives himself to the contemplation of the most beautiful things, and whom it is proper to call a philosopher. He adds, that the survey of all heaven, and of the stars that revolve in it, is indeed beautiful, when the order of them is considered. For they derive this beauty and order by the participation of the first and the intelligible essence.

But that first essence is the nature of number and reasons [i. e. productive principles,] which pervades through all things, and according to which all these [celestial bodies] are elegantly arranged, and fitly adorned. And wisdom indeed, truly so called, is a certain science which is conversant with the first beautiful objects, and these divine, undecaying, and possessing an invariable sameness of subsistence; by the participation of which other things also may be called beautiful. But philosophy is the appetition of a thing of this kind. The attention therefore to erudition is likewise beautiful, which Pythagoras extended, in order to effect the correction of mankind.

(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) On his return to Samos, however, being known by some of the more aged inhabitants, he was not less admired than before. For he appeared to them to be more beautiful and wise, and to possess a divine gracefulness in a more eminent degree. Hence, he was publicly called upon by his country to benefit all men, by imparting to them what he knew. Nor was he averse to this request, but endeavoured to introduce the symbolical mode of teaching, in a way perfectly similar to the documents by which he had been instructed in Egypt; though the Samians did not very much admit this mode of tuition, and did not adhere to him with that according aptitude which was requisite.

Though no one therefore attended to him, and no one was genuinely desirous of those disciplines which he endeavoured by all means to introduce among the Greeks, yet he neither despised nor neglected Samos, because it was his country, and therefore wished to give his fellow-citizens a taste of the sweetness of the mathematical disciplines, though they were unwilling to be instructed in them. With a view to this, therefore, he employed the following method and artifice. Happening to observe a certain youth, who was a great lover of gymnastic and other corporeal exercises, but otherwise poor and in difficult circumstances, playing at ball in the Gymnasium with great aptness and facility, he thought the young man might easily be persuaded to attend to him, if he was sufficiently supplied with the necessaries of life, and freed from the care of procuring them.

As soon as the youth, therefore, left the bath, Pythagoras called him to him, and promised that he would furnish him with every thing requisite to the support of his bodily exercise, on condition that he would receive from him gradually and easily, but continually, so that he might not be burthened by receiving them at once, certain disciplines, which he said he had learnt from the Barbarians in his youth, but which now began to desert him through forgetfulness and the incursions of old age. But the young man immediately acceded to the conditions, through the hope of having necessary support. Pythagoras, therefore, endeavoured to instruct him in the disciplines of arithmetic and geometry, forming each of his demonstrations in an abacus, and giving the youth three oboli as a reward for every figure which he learnt.

This also he continued to do for a long time, exciting him to the geometrical theory by the desire of honour; diligently, and in the best order, giving him (as we have said) three oboli for every figure which he apprehended. But when the wise man observed that the elegance, sweetness, and connexion of these disciplines, to which the youth had been led in a certain orderly path, had so captivated him that he would not neglect their pursuit though he should suffer the extremity of want, he pretended poverty, and an inability of giving him three oboli any longer. But the youth on hearing this replied, “I am able without these to learn and receive your disciplines.” Pythagoras then said, “But I have not the means of procuring sufficient nutriment for myself.” As it is requisite, therefore, to labour in order to procure daily necessaries and mortal food, it would not be proper that his attention should be distracted by the abacus, and by stupid and vain pursuits.

The youth, however, vehemently abhorring the thought of discontinuing his studies, replied: “I will in future provide for you, and repay your kindness in a way resembling that of the stork: for I in my turn will give you three oboli for every figure.” And from this time he was so captivated by these disciplines, that he alone, of all the Samians, migrated from his country with Pythagoras, having the same name with him, but being the son of Eratocles. There are said to be three books of this Samian On Athletics, in which he orders the Athletæ to feed on flesh instead of dry figs; which books are very improperly ascribed by some to Pythagoras the son of Mnesarchus.

It is likewise said, that about the same time Pythagoras was admired at Delos, when he approached to the bloodless altar, as it is called, of the father Apollo, and worshipped it. After which he went to all the oracles. He likewise dwelt for some time in Crete and Sparta, for the purpose of becoming acquainted with their laws; and, having been an auditor and learner of all these, he returned home in order to investigate what he had omitted. And in the first place, indeed, he established a school in the city, which is even now called the semicircle of Pythagoras; and in which the Samians now consult about public affairs, conceiving it right to investigate things just and advantageous in that place which he had constructed who paid attention to the welfare of all men.

He also formed a cavern out of the city, adapted to his philosophy, in which he spent the greatest part both of the day and night; employing himself in the investigation of things useful in disciplines, framing intellectual conceptions after the same manner as Minos the son of Jupiter. Indeed, he so much surpassed those who afterwards employed his disciplines, that they conceived magnificently of themselves, from the knowledge of theorems of small importance; but Pythagoras gave completion to the science of the celestial orbs, and unfolded the whole of it by arithmetical and geometrical demonstrations. He is, however, to be admired in a still greater degree for what he afterwards accomplished. For when now philosophy had received a great accession, he was admired by all Greece, and the best of those who philosophized came to Samos on his account, in order that they might participate of his erudition.

The citizens likewise employed him in all their embassies, and compelled him to unite with them in the administration of public affairs. However, as he easily saw the difficulty of complying with the laws of his country, and at the same time remaining at home and philosophizing, and considered that all philosophers before him had passed their life in foreign countries, he determined to neglect all political occupations; induced to this, according to the testimony of others, by the negligence of the Samians in what relates to education, and went into Italy, conceiving that place to be his proper country, in which men well disposed towards learning were to be found in the greatest abundance. And such was the success of his journey, that on his arrival at Crotona, which was the noblest city in Italy, he had many followers, amounting, as it is said, to the number of six hundred, who were not only excited by his discourses to the study of philosophy, but also to an amicable division of the goods of life in common; from whence they acquired the appellation of Cœnobitæ .

(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) 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.

(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.

(11) After Pythagoras of Samos, its founder, the Italic or Pythagorean school numbers among its most distinguished representatives Empedocles, Epicharmus, Archytas, Alcmæon, Hippasus, Philolaus, and Eudoxus. Pythagoras (580-500? B.C.) conceived mathematics to be the most sacred and exact of all the sciences, and demanded of all who came to him for study a familiarity with arithmetic, music, astronomy, and geometry. He laid special emphasis upon the philosophic life as a prerequisite to wisdom. Pythagoras was one of the first teachers to establish a community wherein all the members were of mutual assistance to one another in the common attainment of the higher sciences. He also introduced the discipline of retrospection as essential to the development of the spiritual mind. Pythagoreanism may be summarized as a system of metaphysical speculation concerning the relationships between numbers and the causal agencies of existence. This school also first expounded the theory of celestial harmonics or "the music of the spheres." John Reuchlin said of Pythagoras that he taught nothing to his disciples before the discipline of silence, silence being the first rudiment of contemplation. In his Sophist, Aristotle credits Empedocles with the discovery of rhetoric. Both Pythagoras and Empedocles accepted the theory of transmigration, the latter saying: "A boy I was, then did a maid become; a plant, bird, fish, and in the vast sea swum." Archytas is credited with invention of the screw and the crane. Pleasure he declared to be a pestilence because it was opposed to the temperance of the mind; he considered a man without deceit to be as rare as a fish without bones.

(5) But after his father Mnesarchus had returned from Syria to Samos, with great wealth, which he had collected from a prosperous navigation, he built a temple to Apollo, with the inscription of Pythius; and took care to have his son nourished with various and the best disciplines, at one time by Creophilus, at another by Pherecydes the Syrian, and at another by almost all those who presided over sacred concerns, to whom he earnestly recommended Pythagoras, that he might be as much as possible sufficiently instructed in divine concerns. He, however, was educated in such a manner, as to be fortunately the most beautiful and godlike of all those that have been celebrated in the annals of history. On the death of his father, likewise, though he was still but a youth, his aspect was most venerable, and his habits most temperate, so that he was even reverenced and honored by elderly men; and converted the attention of all who saw and heard him speak, on himself, and appeared to be an admirable person to every one who beheld him.

Hence it was reasonably asserted by many, that he was the son of a God. But he being corroborated by renown of this kind, by the education which he had received from his infancy, and by his natural deiform appearance, in a still greater degree evinced that he deserved his present prerogatives. He was also adorned by piety and disciplines, by a mode of living transcendency good, by firmness of soul, and by a body in due subjection to the mandates of reason. In all his words and actions, he discovered an inimitable quiet and serenity, not being subdued at any time by anger, or laughter, or emulation, or contention, or any other perturbation or precipitation of conduct; but he dwelt at Samos like some beneficent dæmon.

Hence, while he was yet a youth, his great renown having reached Thales at Miletus, and Bias at Priene, men illustrious for their wisdom, it also extended to the neighbouring cities. To all which we may add, that the youth was every where celebrated as the long-haired Samian , and was reverenced by the multitude as one under the influence of divine inspiration. But after he had attained the eighteenth year of his age, about the period when the tyranny of Policrates first made its appearance, foreseeing that under such a government he might receive some impediment in his studies, which engrossed the whole of his attention, he departed privately by night with one Hermodamas (whose surname was Creophilus, and who was the grandson of him who had formerly been the host, friend, and preceptor in all things of Homer the poet,) to Pherecydes, to Anaximander the natural philosopher, and to Thales at Miletus.

He likewise alternately associated with each of these philosophers, in such a manner, that they all loved him, admired his natural endowments, and made him a partaker of their doctrines. Indeed, after Thales had gladly admitted him to his intimate confidence, he admired the great difference between him and other young men, whom Pythagoras left far behind in every accomplishment. And besides this, Thales increased the reputation Pythagoras had already acquired, by communicating to him such disciplines as he was able to impart: and, apologizing for his old age, and the imbecility of his body, he exhorted him to sail into Egypt, and associate with the Memphian and Diospolitan priests. For he confessed that his own reputation for wisdom, was derived from the instructions of these priests; but that he was neither naturally, nor by exercise, endued with those excellent prerogatives, which were so visibly displayed in the person of Pythagoras. Thales, therefore, gladly announced to him, from all these circumstances, that he would become the wisest and most divine of all men, if he associated with these Egyptian priests.

(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:

(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:

(7) Pythagoras likewise discovered another method of restraining men from injustice, through the judgment of souls, truly knowing indeed that this method may be taught, and also knowing that it is useful to the suppression of justice through fear. He asserted therefore, that it is much better to be injured than to kill a man; for that judgment is deposited in Hades, where the soul, and its essence, and the first nature of beings, are properly estimated. Being desirous, however, to exhibit in things unequal, without symmetry and infinite, a definite, equal, and commensurate justice, and to show how it ought to be exercised, he said, that justice resembles that figure, which is the only one among geometrical diagrams, that having indeed infinite compositions of figures, but dissimilarly disposed with reference to each other, yet has equal demonstrations of power.

Since also, there is a certain justice in making use of another person, such a mode of it as the following, is said to have been delivered by the Pythagoreans: Of associations with others, one kind is seasonable, but another is unseasonable. These likewise are distinguished from each other by difference of age, desert, the familiarity of alliance, and of beneficence, and whatever else there may be of the like kind in the different associations of men with each other. For there is a species of association, viz. of a younger with a younger person, which does not appear to be unseasonable; but that of a younger with an elderly person is unseasonable. For no species of anger, or threatening, or boldness, is becoming in a younger towards an elderly man, but all unseasonable conduct of this kind should be cautiously avoided.

A similar reasoning likewise should be adopted with respect to desert. For it is neither decorous, nor seasonable, to use an unrestrained freedom of speech, or to adopt any of the above-mentioned modes of conduct, towards a man who has arrived at the true dignity of consummate virtue. Conformably to this also, was what he said respecting the association with parents, and likewise with benefactors. He added, that there is a certain various and multiform use of an opportune time. For of those that are enraged and angry, some are so seasonably, but others unseasonably. And again, of those that aspire after, desire, and are impelled to any thing appetible, an opportune time is the attendant on some, and an unseasonable time on others.

And the same thing may be said concerning other passions and actions, dispositions, associations, and meetings. He farther observed, that an opportune time is to a certain extent , to be taught, and also, that what happens contrary to expectation, is capable of receiving an artificial discussion; but that when it is considered universally and simply, none of the above-mentioned particulars pertain to it. Nearly, however, such things are the attendants on it, as follow the nature of opportune time, viz. what is called the florid, the becoming, the adapted, and whatever else there may be homogeneous to these. He likewise asserted, that principle [or the beginning] is in the universe unity, and is the most honorable of things; and that in a similar manner it is so in science, in experience, and in generation.

And again, that the number two is most honorable in a house, in a city, in a camp, and in all such like systems. But that the nature of principle is difficult to be surveyed and apprehended in all the above-mentioned particulars. For in sciences, it is not the province of any casual understanding to learn and judge, by well surveying the parts of things, what the nature is of the principle of these. He added, that it makes a great difference, and that there is danger with respect to the knowledge of the whole of things, when principle is not rightly assumed. For none, in short, of the consequent conclusions can be sane, when the true principle is unknown.

The same thing may also be said respecting a principle of another kind. For neither can a house, or a city, be well instituted, unless each has a true ruler, who governs those that voluntarily submit to him. For it is necessary that in both these the governor should be willing to rule, and the governed to obey. Just as with respect to disciplines, when they are taught with proper effect, it is necessary that there should be a concurrence in the will both of the teacher and learner. For if there is a resistance on the part of either, the proposed work will never be accomplished in a proper manner. Thus therefore, he proved, that it was beautiful to be persuaded by rulers, and to be obedient to preceptors.

But he exhibited the following as the greatest argument through deeds, of the truth of his observations. He went from Italy to Delos, to Pherecydes the Syrian, who had been his preceptor, in order that he might afford him some assistance, as he was then afflicted with what is called the morbus pedicularis, and he carefully attended him to the time of his death, and piously performed whatever rites were due to his dead preceptor. So diligent was he in the discharge of his duties to him from whom he had received instruction.

(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:

(7) In this age the word philosophy has little meaning unless accompanied by some other qualifying term. The body of philosophy has been broken up into numerous isms more or less antagonistic, which have become so concerned with the effort to disprove each other's fallacies that the sublimer issues of divine order and human destiny have suffered deplorable neglect. The ideal function of philosophy is to serve as the stabilizing influence in human thought. By virtue of its intrinsic nature it should prevent man from ever establishing unreasonable codes of life. Philosophers themselves, however, have frustrated the ends of philosophy by exceeding in their woolgathering those untrained minds whom they are supposed to lead in the straight and narrow path of rational thinking. To list and classify any but the more important of the now recognized schools of philosophy is beyond the space limitations of this volume. The vast area of speculation covered by philosophy will be appreciated best after a brief consideration of a few of the outstanding systems of philosophic discipline which have swayed the world of thought during the last twenty-six centuries. The Greek school of philosophy had its inception with the seven immortalized thinkers upon whom was first conferred the appellation of Sophos, "the wise." According to Diogenes Laertius, these were Thales, Solon, Chilon, Pittacus, Bias, Cleobulus, and Periander. Water was conceived by Thales to be the primal principle or element, upon which the earth floated like a ship, and earthquakes were the result of disturbances in this universal sea. Since Thales was an Ionian, the school perpetuating his tenets became known as the Ionic. He died in 546 B.C., and was succeeded by Anaximander, who in turn was followed by Anaximenes, Anaxagoras, and Archelaus, with whom the Ionic school ended. Anaximander, differing from his master Thales, declared measureless and indefinable infinity to be the principle from which all things were generated. Anaximenes asserted air to be the first element of the universe; that souls and even the Deity itself were composed of it.

(1) There were, however, certain persons who were hostile to these men, and rose against them. That stratagems therefore were employed to destroy them, during the absence of Pythagoras, is universally acknowledged; but those that have written on this subject, differ in their account of the journey which he then undertook. For some say that he went to Pherecydes the Syrian, but others to Metapontum. Many causes, however, of the stratagems are enumerated. And one of them, which is said to have originated from the men called Cylonians, was as follows: Cylon the Crotonian held the first place among the citizens for birth, renown, and wealth; but otherwise, he was a severe, violent, and turbulent man, and of tyrannical manners. He had, however, the greatest desire of being made a partaker of the Pythagoric life, and having applied himself to Pythagoras, who was now an elderly man, for this purpose, was rejected by him on account of the above-mentioned causes.

In consequence of this, therefore, he and his friends exercised violent hostilities against Pythagoras and his disciples. So vehement likewise and immoderate was the ambition of Cylon, and of those who arranged themselves on his side, that it extended itself to the very last of the Pythagoreans. Pythagoras, therefore, for this cause went to Metapontum, and there is said to have terminated his life. But those who were called the Cylonians continued to form stratagems against the Pythagoreans, and to exhibit indications of all possible malevolence. Nevertheless, for a certain time the probity of the Pythagoreans subdued [this enmity,] and also the decision of the cities themselves, so that they were willing that their political concerns should be managed by the Pythagoreans [alone].

At length, however, the Cylonians became so hostile to the men, that setting fire to the house of Milo in which the Pythagoreans were seated, and were consulting about warlike concerns; they burnt all the men except two, Archippus and Lysis. For these being in perfect vigour, and most robust, escaped out of the house. But this taking place, and no mention being made by the multitude of the calamity which had happened, the Pythagoreans ceased to pay any further attention to the affairs of government. This however happened through two causes, through the negligence of the cities (for they were not at all affected by so great a calamity taking place) and through the loss of those men who were most qualified to govern.

But of the two Pythagoreans that were saved, and both of whom were Tarentines, Archippus indeed returned to Tarentum; but Lysis hating the negligence [of the cities] went into Greece, and dwelt in the Achaia of Peloponnesus. Afterwards, he migrated to Thebes, being stimulated by a certain ardent desire [of retreating thither]; and there he had for his auditor Epaminondas who called Lysis his father . There also Lysis terminated his life. But the rest of the Pythagoreans, except Archytas of Tarentum, departed from Italy, and being collected together in Rhegium, there dwelt with each other. The most celebrated of them, however, were Phanto, Echecrates, Polymnastus, and Diocles, who were Phlyasians; and Xenophilus Chalcidensis of Thrace. But in the course of time, when the administration of public affairs proceeded into a worse condition, these Pythagoreans nevertheless preserved their pristine manners and disciplines, though the sect began to fail, till it generously perished. These things, therefore, are narrated by Aristoxenus.

(2) Moreover, some time after, Aresas Lucanus, being saved through certain strangers, undertook the management of the school; and to him came Diodorus Aspendius, who was received into the school, on account of the paucity of the Pythagoreans it contained. And in Heraclea, indeed, were Clinias and Philolaus; but at Metapontum, Theorides and Eurytus; and at Tarentum Archytas. It is also said that Epicharmus was one of the foreign auditors; but that he was not one of the school. Having however arrived at Syracuse, he abstained from philosophizing openly, on account of the tyranny of Hiero. But he inserted the conceptions of the men in metre, and published in comedies the occult dogmas of Pythagoras.

(2) Nicomachus, however, in other respects accords with Aristoxenus, but as to the journey of Pythagoras, he says that this stratagem took place, while Pythagoras was at Delos. For he went there, in order to give assistance to his preceptor Pherecydes the Syrian who was then afflicted with the morbus pedicularis, and when he died, performed the necessary funeral rites. Then, therefore, those who had been rejected by the Pythagoreans, and to whom monuments had been raised, as if they were dead, attacked them, and committed all of them to the flames. Afterwards, they were overwhelmed by the Italians with stones, and thrown out of the house unburied. At that time, therefore, it happened that science failed together with those who possessed scientific knowledge, because till that period, it was preserved by them in their breasts as something arcane and ineffable.

But such things only as were difficult to be understood, and which were not unfolded, were preserved in the memory of those who did not belong to the Pythagorean sect; a few things excepted, which certain Pythagoreans, who happened at that time to be in foreign lands, preserved as certain sparks of science very obscure and of difficult investigation. These also, being left by themselves, and not moderately dejected by the calamity, were scattered in different places, and no longer endured to have any communion with the rest of mankind. But they lived alone in solitary places, wherever they happened to meet with them; and each greatly preferred an association with himself to that with any other person.

(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) Many also of the political actions of his followers are [deservedly] praised. For it is reported that the Crotonians being once impelled to make sumptuous funerals and interments, some one of them said to the people, that he had heard Pythagoras when he was discoursing about divine natures observe, that the Olympian Gods attended to the dispositions of those that sacrificed, and not to the multitude of the sacrifices; but that, on the contrary, the terrestrial Gods, as being allotted the government of things less important, rejoiced in banquets and lamentations, and farther still, in continual libations, in delicacies, and in celebrating funerals with great expense. Whence, on account of his wish to receive, Pluto is called Hades. He suffers, therefore, those that slenderly honor him to remain for a longer time in the upper world; but he always draws down some one of those who are disposed to spend profusely in funeral solemnities, in order that he may obtain the honors which take place in commemoration of the dead.

In consequence of this advice, the Crotonians that heard it were of opinion, that if they conducted themselves moderately in misfortunes, they would preserve their own salvation; but that if they were immoderate in their expenses, they would all of them die prematurely. A certain person also having been made an arbitrator in an affair in which there was no witness, led each of the litigants to a certain monument, and said to one of them, the man who is buried in this monument was transcendently equitable; in consequence of which the other litigant prayed that the dead man might obtain much good; but the former said that the defunct was not at all better for the prayers of his opponent.

Pythagoras, therefore, condemned what the former litigant said, but asserted that he who praised the dead man for his worth, had done that which would be of no small importance in his claim to belief. At another time, in a cause of great moment, he decided that one of the two who had agreed to settle the affair by arbitration, should pay four talents, but that the other should receive two. Afterwards, he condemned the defendant to pay three talents; and thus he appeared to have given a talent to each of them. Two persons also had fraudulently deposited a garment with a woman who belonged to a court of justice, and told her she was not to give it to either of them unless both were present.

Some time after, for the purpose of circumvention, one of them received the common deposit, and said that it was with the consent of the other. But the other, who had not been present [when the garment was returned], acted the part of a sycophant, and related the compact that was made at the beginning, to the magistrates. A certain Pythagorean, however, taking up the affair said, that the woman had acted conformably to the compact, as both parties had been present. Two other persons also appeared to have a strong friendship for each other, but had fallen into a silent suspicion through a flatterer of one of them, who told him that his wife had been corrupted by the other.

It so happened however, that a Pythagorean came into a brazier’s shop, where he who conceived himself to be injured, was showing to the artist a sword which he had given him to sharpen, and was indignant with him because it was not sufficiently sharp. The Pythagorean, therefore, suspecting that the sword was intended to be used against him who was accused of adultery, said, This sword is sharper than all things except calumny. This being said, caused the man to consider with himself [what it was he intended to do], and not rashly to sin against his friend who was within, and who had been previously called [by him in order that he might kill him]. A zone also that had golden ornaments having fallen [at the feet] of a certain stranger in the temple of Esculapius, and the laws forbidding any one to take up that which had fallen on the ground, a Pythagorean advised the stranger, who was indignant at this prohibition, to take away the golden ornaments which had not fallen to the ground, but to leave the zone, because this was on the ground.

That circumstance, likewise, which by the ignorant is transferred to other places, is said to have happened in Crotona, viz. that during a public spectacle, some cranes flew over the theatre, and one of those who had sailed into the port, said to the person who sat near him, Do you see the witnesses? which being heard by a certain Pythagorean, he brought them into the court, consisting of a thousand magistrates, where being examined, it was found that they had thrown certain boys into the sea, and that they called the cranes who flew over the ship [at the time,] witnesses of the deed. When likewise certain persons who had recently become disciples of Pythagoras were at variance with each other, he who was the junior of the two came to the other and said to him, that there was no occasion to refer the affair to a third person, but that it rested with them to commit their anger to oblivion.

He, therefore, to whom these words were addressed, replied that he was very much pleased in other respects with what had been said, but that he was ashamed that, being the elder, he had not first said the same thing to the other [who was the junior]. We might here also narrate what is said of Phinthias and Damon, of Plato and Archytas, and likewise of Clinias and Prorus. Omitting, however, these [for the present], we shall mention what is related of Eubulus the Messenian, who when he was sailing homeward, and was taken captive by the Tyrrhenians, was recognized by Nausitheus a Tyrrhenian and also a Pythagorean, because he was one of the disciples of Pythagoras, and was taken by him from the pirates, and brought with great safety to Messena.

When the Carthaginians, also, were about to send more than five thousand soldiers into a desert island, Miltiades the Carthaginian, perceiving among them the Argive Possiden (both of them being Pythagoreans), went to him, and not manifesting what he intended to do, advised him to return to his native country, with all possible celerity, and having placed him in a ship that was then sailing near the shore, supplied him with what was necessary for his voyage, and thus saved the man from the dangers [to which he was exposed]. In short, he who should relate all that has taken place among the Pythagoreans in their associations with each other, would by the length of his narration exceed the proper quantity and the occasion of his treatise.

(2) I shall therefore rather pass on to show, that some of the Pythagoreans were political characters, and adapted to govern. For they were guardians of the laws, and ruled over certain Italian cities, unfolding to them, and counselling them to adopt the most excellent measures, but abstaining from public revenues. And though they were greatly calumniated, yet at the same time the probity of the Pythagoreans, and the wish of the cities themselves prevailed, so that they were desired by them to administer their political concerns. But at this time the most beautiful of polities appear to have existed in Italy and in Sicily. For Charondas the Catanean, who appears to have been one of the best legislators, was a Pythagorean; as were also the Locrians Zaleucus and Timares, who were celebrated for their legislation.

Those also who established the Rheginic polities, that polity which is called Gymnasiarchic, and that which is denominated from Theocles, are said to have been Pythagoreans. Phytius likewise, Theocles, Elecaon, and Aristocrates, excelled among the Pythagoreans in their studies and manners, which also the cities in those places adopted at those times. In short, it is asserted that Pythagoras was the inventor of the whole of political erudition, when he said that nothing is pure among things that have an existence; but that earth participates of fire, fire of air, air of water, and water of spirit. And in a similar manner the beautiful participates of the deformed, the just of the unjust, and other things conformably to these. From this hypothesis, however, the reasoning tends to either part.

He also said, that there are two motions of the body and the soul; the one being irrational, but the other the effect of deliberate choice. That three certain lines also constitute polities, the extremes of which mutually touch each other, and produce one right angle; so that one of them has the nature of the sesquitertian; another that of the diapente; and the third is a medium between the other two. But when we consider by a reasoning process the coincidences of the lines with each other, and also of the places under these, we shall find that they represent the best image of a polity. Plato has made the glory of this invention his own; for he clearly says in his Republic, “that the sesquitertian progeny conjoined with the pentad produces two harmonies.” It is also said, that Pythagoras cultivated the moderation of the passions, and mediocrity, and that by the conjunction of a certain precedaneous good, he rendered the life of each of his disciples happy.

And in short, it is said that he discovered the choice of our good, and of the works adapted to our nature. It is likewise narrated of him, that he withdrew the Crotonians from harlots, and universally from an association with women that were not affianced. For the wives of the Crotonians came to Theano the wife of Brontinus, one of the Pythagoreans, a woman of a wise and excellent soul, (and who was the author of that beautiful and admirable saying, “that it is lawful for a woman to sacrifice on the very day in which she has risen from the embraces of her husband,” which some ascribe to Theano the wife of Pythagoras) the Crotonian wives came therefore to her, and entreated her to persuade Pythagoras to discourse to them on the continence which was due from them to their husbands.

This she promised to do; and Pythagoras having accordingly made an oration to the Crotonians, which had the desired effect, the incontinence which then prevailed was entirely destroyed. It is further related likewise, that when ambassadors came to the city of the Crotonians from Sybaris, for the purpose of demanding the exiles, Pythagoras beholding one of the ambassadors, who with his own hand had slain one of his friends, made him no answer. But when the man interrogated him, and wished to converse with him, Pythagoras said, that it was not lawful to discourse with homicides. Whence also by certain persons he was thought to be Apollo. All these particulars, therefore, and such as we have a little before mentioned concerning the destruction of tyrants, and the liberation of the cities of Italy and Sicily, and many other circumstances, are indications of the benefits conferred on mankind by Pythagoras in political concerns.