(1) In reference to these commentaries, which contain as the exigencies of the case demand, the Hellenic opinions, I say thus much to those who are fond of finding fault. First, even if philosophy were useless, if the demonstration of its uselessness does good, it is yet useful. Then those cannot condemn the Greeks, who have only a mere hearsay knowledge of their opinions, and have not entered into a minute investigation in each department, in order to acquaintance with them. For the refutation, which is based on experience, is entirely trustworthy. For the knowledge of what is condemned is found the most complete demonstration. Many things, then, though not contributing to the final result, equip the artist. And otherwise erudition commends him, who sets forth the most essential doctrines so as to produce persuasion in his hearers, engendering admiration in those who are taught, and leads them to the truth. And such persuasion is convincing, by which those that love learning admit the truth; so that philosophy does not ruin life by being the originator of false practices and base deeds, although some have calumniated it, though it be the clear image of truth, a divine gift to the Greeks; nor does it drag us away from the faith, as if we were bewitched by some delusive art, but rather, so to speak, by the use of an ampler circuit, obtains a common exercise demonstrative of the faith.

(4) For some they have borrowed, and others they have misunderstood. And in the case of others, what they have spoken, in consequence of being moved, they have not yet perfectly worked out; and others by human conjecture and reasoning, in which also they stumble. And they think that they have hit the truth perfectly; but as we understand them, only partially. They know, then, nothing more than this world. And it is just like geometry, which treats of measures and magnitudes and forms, by delineation on plane-surfaces; and just as painting appears to take in the whole field of view in the scenes represented. But it gives a false description of the view, according to the rules of the art, employing the signs that result from the incidents of the lines of vision. By this means, the higher and lower points in the view, and those between, are preserved; and some objects seem to appear in the foreground, and others in the background, and others to appear in some other way, on the smooth and level surface. So also the philosophers copy the truth, after the manner of painting. And always in the case of each one of them, their self-love is the cause of all their mistakes.

(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.

(2) Further, the juxtaposition of doctrines, by comparison, saves the truth, from which follows knowledge. Philosophy came into existence, not on its own account, but for the advantages reaped by us from knowledge, we receiving a firm persuasion of true perception, through the knowledge of things comprehended by the mind. For I do not mention that the Stromata, forming a body of varied erudition, wish artfully to conceal the seeds of knowledge. As, then, he who is fond of hunting captures the game after seeking, tracking, scenting, hunting it down with dogs; so truth, when sought and got with toil, appears a delicious thing. Why, then, you will ask, did you think it fit that such an arrangement should be adopted in your memoranda? Because there is great danger in divulging the secret of the true philosophy to those, whose delight it is unsparingly to speak against everything, not justly; and who shout forth all kinds of names and words indecorously, deceiving themselves and beguiling those who adhere to them. "For the Hebrews seek signs," as the apostle says, "and the Greeks seek after wisdom."

(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:

(1) I, at any rate, am not conscious, when speaking in reply to Greeks or others, of fancying to assist good men, in case they should be able to know and speak the very truth, as it really is in itself. For, when this is correctly demonstrated in its essential nature, according to a law of truth, and has been established without flaw, every thing which is otherwise, and simulates the truth, will be convicted of being other than the reality, and dissimilar, and that which is seeming rather than real. It is superfluous then, that the expounder of truth should contend with these or those. For each affirms himself to have the royal coin, and perchance has some deceptive image of a certain portion of the true. And, if you refute this, first the one, and then the other, will contend concerning the same. But, when the true statement itself has been correctly laid down, and has remained unrefuted by all the rest, every thing which is not so in every respect is cast down of itself, by the impregnable stability of the really true. Having then as I think well understood this, I have not been over zealous to speak in reply to Greeks or to others; but it is sufficient for me (and may God grant this), first to know about truth, then, having known, to speak as it is fitting to speak.

(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) But if any one should say that we introduce in so doing a confusion, in disparagement of the distinction which befits God, we do not think that such a statement as this is itself sufficient to convince that it is true. For, if there is any one who has placed himself entirely in opposition to the Oracles, he will be also entirely apart from our. philosophy; and, if he has no care for the divine Wisdom of the Oracles, how shall we care for his guidance to the theological science? But, if he regards the truth of the Oracles, we also, using this canon and illumination, will advance unwaveringly to the answer, as best we can, by affirming that theology transmits some things as common, but others as distinctive; and neither is it meet to divide the common, nor to confuse the distinctive; but that following It according to our ability, we ought to rise to the Divine splendours; for, by taking thence the Divine revelations, as a most excellent canon of truth, we strive to guard the things lying there, in their native simplicity and integrity and identity--being ourselves guarded in our guard of the Oracles, and from these receiving strength to guard those who guard them.

(527) Yes, that is what we assert. Yet anybody who has the least acquaintance with geometry will not deny that such a conception of the science is in flat contradiction to the ordinary language of geometricians. How so? They have in view practice only, and are always speaking, in a narrow and ridiculous manner, of squaring and extending and applying and the like—they confuse the necessities of geometry with those of daily life; whereas knowledge is the real object of the whole science. Certainly, he said. Then must not a further admission be made? What admission? That the knowledge at which geometry aims is knowledge of the eternal, and not of aught perishing and transient. That, he replied, may be readily allowed, and is true. Then, my noble friend, geometry will draw the soul towards truth, and create the spirit of philosophy, and raise up that which is now unhappily allowed to fall down. Nothing will be more likely to have such an effect. Then nothing should be more sternly laid down than that the inhabitants of your fair city should by all means learn geometry. Moreover the science has indirect effects, which are not small. Of what kind? he said. There are the military advantages of which you spoke, I said; and in all departments of knowledge, as experience proves, any one who has studied geometry is infinitely quicker of apprehension than one who has not. Yes indeed, he said, there is an infinite difference between them. Then shall we propose this as a second branch of knowledge which our youth will study? Let us do so, he replied.

(27) For I do not imagine that any composition can be so fortunate as that no one will speak against it. But that is to be regarded as in accordance with reason, which nobody speaks against, with reason. And that course of action and choice is to be approved, not which is faultless, but which no one rationally finds fault with. For it does not follow, that if a man accomplishes anything not purposely, he does it through force of circumstances. But he will do it, managing it by wisdom divinely given, and in accommodation to circumstances. For it is not he who has virtue that needs the way to virtue, any more than he, that is strong, needs recovery. For, like farmers who irrigate the land beforehand, so we also water with the liquid stream of Greek learning what in it is earthy; so that it may receive the spiritual seed cast into it, and may be capable of easily nourishing it. The Stromata will contain the truth mixed up in the dogmas of philosophy, or rather covered over and hidden, as the edible part of the nut in the shell. For, in my opinion, it is fitting that the seeds of truth be kept for the husbandmen of faith, and no others. I am not oblivious of what is babbled by some, who in their ignorance are frightened at every noise, and say that we ought to occupy ourselves with what is most necessary, and which contains the faith; and that we should pass over what is beyond and superfluous, which wears out and detains us to no purpose, in things which conduce nothing to the great end. Others think that philosophy was introduced into life by an evil influence, for the ruin of men, by an evil inventor. But I shall show, throughout the whole of these Stromata, that evil has an evil nature, and can never turn out the producer of aught that is good; indicating that philosophy is in a sense a work of Divine Providence.

(3) In addition, it will in my opinion form an appropriate sequel to defend those tenets, on account of which the Greeks assail us, making use of a few Scriptures, if perchance the Jew also may listen and be able quietly to turn from what he has believed to Him on whom he has not believed. The ingenuous among the philosophers will then with propriety be taken up in a friendly exposure both of their life and of the discovery of new dogmas, not in the way of our avenging ourselves on our detractors (for that is far from being the case with those who have learned to bless those who curse, even though they needlessly discharge on us words of blasphemy), but with a view to their conversion; if by any means these adepts in wisdom may feel ashamed, being brought to their senses by barbarian demonstration; so as to be able, although late, to see clearly of what sort are the intellectual acquisitions for which they make pilgrimages over the seas. Those they have stolen are to be pointed out, that we may thereby pull down their conceit; and of those on the discovery of which through investigation they plume themselves, the refutation will be furnished. By consequence, also we must treat of what is called the curriculum of study - how far it is serviceable; and of astrology, and mathematics, and magic, and sorcery. For all the Greeks boast of these as the highest sciences.

(533) Dear Glaucon, I said, you will not be able to follow me here, though I would do my best, and you should behold not an image only but the absolute truth, according to my notion. Whether what I told you would or would not have been a reality I cannot venture to say; but you would have seen something like reality; of that I am confident. Doubtless, he replied. But I must also remind you, that the power of dialectic alone can reveal this, and only to one who is a disciple of the previous sciences. Of that assertion you may be as confident as of the last. And assuredly no one will argue that there is any other method of comprehending by any regular process all true existence or of ascertaining what each thing is in its own nature; for the arts in general are concerned with the desires or opinions of men, or are cultivated with a view to production and construction, or for the preservation of such productions and constructions; and as to the mathematical sciences which, as we were saying, have some apprehension of true being—geometry and the like—they only dream about being, but never can they behold the waking reality so long as they leave the hypotheses which they use unexamined, and are unable to give an account of them. For when a man knows not his own first principle, and when the conclusion and intermediate steps are also constructed out of he knows not what, how can he imagine that such a fabric of convention can ever become science? Impossible, he said. Then dialectic, and dialectic alone, goes directly to the first principle and is the only science which does away with hypotheses in order to make her ground secure; the eye of

(1) [Trismegistus] ’Tis in this way, Asclepius;—by mixing it, by means of subtle expositions, with divers sciences not easy to be grasped,—such as arithmetic, and music, and geometry. But Pure Philosophy, which doth depend on godly piety alone, should only so far occupy itself with other arts, that it may [know how to] appreciate the working out in numbers of the fore-appointed stations of the stars when they return, and of the course of their procession. Let her, moreover, know how to appreciate the Earth’s dimensions, its qualities and quantities, the Water’s depths, the strength of Fire, and the effects and nature of all these. [And so] let her give worship and give praise unto the Art and Mind of God.

(526) And indeed, you will not easily find a more difficult study, and not many as difficult. You will not. And, for all these reasons, arithmetic is a kind of knowledge in which the best natures should be trained, and which must not be given up. I agree. Let this then be made one of our subjects of education. And next, shall we enquire whether the kindred science also concerns us? You mean geometry? Exactly so. Clearly, he said, we are concerned with that part of geometry which relates to war; for in pitching a camp, or taking up a position, or closing or extending the lines of an army, or any other military manoeuvre, whether in actual battle or on a march, it will make all the difference whether a general is or is not a geometrician. Yes, I said, but for that purpose a very little of either geometry or calculation will be enough; the question relates rather to the greater and more advanced part of geometry— whether that tends in any degree to make more easy the vision of the idea of good; and thither, as I was saying, all things tend which compel the soul to turn her gaze towards that place, where is the full perfection of being, which she ought, by all means, to behold. True, he said. Then if geometry compels us to view being, it concerns us; if becoming only, it does not concern us?

(13) This pretext is then, in the case of the Greeks, futile; for those who are willing may find the truth. But in the case of those who adduce unreasonable excuses, their condemnation is unanswerable. For whether do they deny or admit that there is such a thing as demonstration? I am of opinion that all will make the admission, except those who take away the senses. There being demonstration, then, it is necessary to condescend to questions, and to ascertain by way of demonstration by the Scriptures themselves how the heresies failed, and how in the truth alone and in the ancient Church is both the exactest knowledge, and the truly best set of I principles (airesis).

(1) As many men drawing down the ship, cannot be called many causes, but one cause consisting of many; - for each individual by himself is not the cause of the ship being drawn, but along with the rest; - so also philosophy, being the search for truth, contributes to the comprehension of truth; not as being the cause of comprehension, but a cause along with other things, and co-operator; perhaps also a joint cause. And as the several virtues are causes of the happiness of one individual; and as both the sun, and the fire, and the bath, and clothing are of one getting warm: so while truth is one, many things contribute to its investigation. But its discovery is by the Son. If then we consider, virtue is, in power, one. But it is the case, that when exhibited in some things, it is called prudence, in others temperance, and in others manliness or righteousness. By the same analogy, while truth is one, in geometry there is the truth of geometry; in music, that of music; and in the right philosophy, there will be Hellenic truth. But that is the only authentic truth, unassailable, in which we are instructed by the Son of God. In the same way we say, that the drachma being one and the same, when given to the shipmaster, is called the fare; to the tax-gatherer, tax; to the landlord, rent; to the teacher, fees; to the seller, an earnest. And each, whether it be virtue or truth, called by the same name, is the cause of its own peculiar effect alone; and from the blending of them arises a happy life. For we are not made happy by names alone, when we say that a good life is happiness, and that the man who is adorned in his soul with virtue is happy. But if philosophy contributes remotely to the discovery of truth, by reaching, by diverse essays, after the knowledge which touches close on the truth, the knowledge possessed by us, it aids him who aims at grasping it, in accordance with the Word, to apprehend knowledge. But the Hellenic truth is distinct from that held by us (although it has got the same name), both in respect of extent of knowledge, certainly of demonstration, divine power, and the like. For we are taught of God, being instructed in the truly "sacred letters" by the Son of God. Whence those, to whom we refer, influence souls not in the way we do, but by different teaching. And if, for the sake of those who are fond of fault-finding, we must draw a distinction, by saying that philosophy is a concurrent and cooperating cause of true apprehension, being the search for truth, then we shall avow it to be a preparatory training for the enlightened man (tou gnwstikou); not assigning as the cause that which is but the joint-cause; nor as the upholding cause, what is merely co-operative; nor giving to philosophy the place of a sine qua non. Since almost all of us, without training in arts and sciences, and the Hellenic philosophy, and some even without learning at all, through the influence of a philosophy divine and barbarous, and by power, have through faith received the word concerning God, trained by self-operating wisdom. But that which acts in conjunction with something else, being of itself incapable of operating by itself, we describe as co-operating and concausing, and say that it becomes a cause only in virtue of its being a joint-cause, and receives the name of cause only in respect of its concurring with something else, but that it cannot by itself produce the right effect.

(2) We must lop, dig, bind, and perform the other operations. The pruning-knife, I should think, and the pick-axe, and the other agricultural implements, are necessary for the culture of the vine, so that it may produce eatable fruit. And as in husbandry, so also in medicine: he has learned to purpose, who has practised the various lessons, so as to be able to cultivate and to heal. So also here, I call him truly learned who brings everything to bear on the truth; so that, from geometry, and music, and grammar, and philosophy itself, culling what is useful, he guards the faith against assault. Now, as was said, the athlete is despised who is not furnished for the contest. For instance, too, we praise the experienced helmsman who "has seen the cities of many men," and the physician who has had large experience; thus also some describe the empiric. And he who brings everything to bear on a fight life, procuring examples from the Greeks and barbarians, this man is an experienced searcher after truth, and in reality a man of much counsel, like the touch-stone (that is, the Lydian), which is believed to possess the power of distinguishing the spurious from the genuine gold. And our much-knowing gnostic can distinguish sophistry from philosophy, the art of decoration from gymnastics, cookery from physic, and rhetoric from dialectics, and the other sects which are according to the barbarian philosophy, from the truth itself. And how necessary is it for him who desires to be partaker of the power of God, to treat of intellectual subjects by philosophising! And how serviceable is it to distinguish expressions which are ambiguous, and which in the Testaments are used synonymously! For the Lord, at the time of His temptation, skilfully matched the devil by an ambiguous expression. And I do not yet, in this connection, see how in the world the inventor of philosophy and dialectics, as some suppose, is seduced through being deceived by the form of speech which consists in ambiguity. And if the prophets and apostles knew not the arts by which the exercises of philosophy are exhibited, yet the mind of the prophetic and instructive spirit, uttered secretly, because all have not an intelligent ear, demands skilful modes of teaching in order to clear exposition. For the prophets and disciples of the Spirit knew infallibly their mind. For they knew it by faith, in a way which others could not easily, as the Spirit has said. But it is not possible for those who have not learned to receive it thus. "Write," it is said, "the commandments doubly, in counsel and knowledge, that thou mayest answer the words of truth to them who send unto thee." What, then, is the knowledge of answering? or what that of asking? It is dialectics. What then? Is not speaking our business, and does not action proceed from the Word? For if we act not for the Word, we shall act against reason. But a rational work is accomplished through God. "And nothing," it is said, "was made without Him" - the Word of God.

(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.

(4) "He who reproves boldly is a peacemaker." We lave often said already that we have neither practised nor do we study the expressing ourselves in pure Greek; for this suits those who seduce the multitude from the truth. But true philosophic demonstration will contribute to the profit not of the listeners' tongues, but of their minds. And, in my opinion, he who is solicitous about truth ought not to frame his language with artfulness and care, but only to try to express his meaning as he best can. For those who are particular about words, and devote their time to them, miss the things. It is a feat fit for the gardener to pluck without injury the rose that is growing among the thorns; and for the craftsman to find out the pearl buried in the oyster's flesh. And they say that fowls have flesh of the most agreeable quality, when, through not being supplied with abundance of food, they pick their sustenance with difficulty, scraping with their feet. If any one, then, speculating on what is similar, wants to arrive at the truth [that is] in the numerous Greek plausibilities, like the real face beneath masks, he will hunt it out with much pains. For the power that appeared in the vision to Hermas said, "Whatever may be revealed to you, shall be revealed."

(525) how steadily the masters of the art repel and ridicule any one who attempts to divide absolute unity when he is calculating, and if you divide, they multiply 4 , taking care that one shall continue one and not become lost in fractions. That is very true. Now, suppose a person were to say to them: O my friends, what are these wonderful numbers about which you are reasoning, in which, as you say, there is a unity such as you demand, and each unit is equal, invariable, indivisible,—what would they answer? They would answer, as I should conceive, that they were speaking of those numbers which can only be realized in thought. Then you see that this knowledge may be truly called necessary, necessitating as it clearly does the use of the pure intelligence in the attainment of pure truth? Yes; that is a marked characteristic of it. And have you further observed, that those who have a natural talent for calculation are generally quick at every other kind of knowledge; and even the dull, if they have had an arithmetical training, although they may derive no other advantage from it, always become much quicker than they would otherwise have been. Very true, he said.