(1) The Mosaic philosophy is accordingly divided into four parts, - into the historic, and that which is specially called the legislative, which two properly belong to an ethical treatise; and the third, that which, relates to sacrifice, which belongs to physical science; and the fourth, above all, the department of theology, "vision," which Plato predicates of the truly great mysteries. And this species Aristotle calls metaphysics. Dialectics, according to Plato, is, as he says in The Statesman, a science devoted to the discovery of the explanation of things. And it is to be acquired by the wise man, not for the sake of saying or doing aught of what we find among men (as the dialecticians, who occupy themselves in sophistry, do), but to be able to say and do, as far as possible, what is pleasing to God. But the true dialectic, being philosophy mixed with truth, by examining things, and testing forces and powers, gradually ascends in relation to the most excellent essence of all, and essays to go beyond to the God of the universe, professing not the knowledge of mortal affairs, but the science of things divine and heavenly; in accordance with which follows a suitable course of practice with respect to words and deeds, even in human affairs. Rightly, therefore, the Scripture, in its desire to make us such dialecticians, exhorts us: "Be ye skilful money-changers" rejecting some things, but retaining what is good. For this true dialectic is the science which analyses the objects of thought, and shows abstractly and by itself the individual substratum of existences, or the power of dividing things into genera, which descends to their most special properties, and presents each individual object to be contemplated simply such as it is.

(6) Philosophy has other provinces, but Dialectic is its precious part: in its study of the laws of the universe, Philosophy draws on Dialectic much as other studies and crafts use Arithmetic, though, of course, the alliance between Philosophy and Dialectic is closer.

And in Morals, too, Philosophy uses Dialectic: by Dialectic it comes to contemplation, though it originates of itself the moral state or rather the discipline from which the moral state develops.

Our reasoning faculties employ the data of Dialectic almost as their proper possession for they are mainly concerned about Matter .

And while the other virtues bring the reason to bear upon particular experiences and acts, the virtue of Wisdom is a certain super-reasoning much closer to the Universal; for it deals with correspondence and sequence, the choice of time for action and inaction, the adoption of this course, the rejection of that other: Wisdom and Dialectic have the task of presenting all things as Universals and stripped of matter for treatment by the Understanding.

But can these inferior kinds of virtue exist without Dialectic and philosophy?

Yes- but imperfectly, inadequately.

And is it possible to be a Sage, Master in Dialectic, without these lower virtues?

It would not happen: the lower will spring either before or together with the higher. And it is likely that everyone normally possesses the natural virtues from which, when Wisdom steps in, the perfected virtue develops. After the natural virtues, then, Wisdom and, so the perfecting of the moral nature. Once the natural virtues exist, both orders, the natural and the higher, ripen side by side to their final excellence: or as the one advances it carries forward the other towards perfection.

But, ever, the natural virtue is imperfect in vision and in strength- and to both orders of virtue the essential matter is from what principles we derive them.

(3) The metaphysician, equipped by that very character, winged already and not like those others, in need of disengagement, stirring of himself towards the supernal but doubting of the way, needs only a guide. He must be shown, then, and instructed, a willing wayfarer by his very temperament, all but self-directed.

Mathematics, which as a student by nature he will take very easily, will be prescribed to train him to abstract thought and to faith in the unembodied; a moral being by native disposition, he must be led to make his virtue perfect; after the Mathematics he must be put through a course in Dialectic and made an adept in the science.

(4) But this science, this Dialectic essential to all the three classes alike, what, in sum, is it?

It is the Method, or Discipline, that brings with it the power of pronouncing with final truth upon the nature and relation of things- what each is, how it differs from others, what common quality all have, to what Kind each belongs and in what rank each stands in its Kind and whether its Being is Real-Being, and how many Beings there are, and how many non-Beings to be distinguished from Beings.

Dialectic treats also of the Good and the not-Good, and of the particulars that fall under each, and of what is the Eternal and what the not Eternal- and of these, it must be understood, not by seeming-knowledge but with authentic science.

All this accomplished, it gives up its touring of the realm of sense and settles down in the Intellectual Kosmos and there plies its own peculiar Act: it has abandoned all the realm of deceit and falsity, and pastures the Soul in the "Meadows of Truth": it employs the Platonic division to the discernment of the Ideal-Forms, of the Authentic-Existence and of the First-Kinds : it establishes, in the light of Intellection, the unity there is in all that issues from these Firsts, until it has traversed the entire Intellectual Realm: then, resolving the unity into the particulars once more, it returns to the point from which it starts.

Now rests: instructed and satisfied as to the Being in that sphere, it is no longer busy about many things: it has arrived at Unity and it contemplates: it leaves to another science all that coil of premisses and conclusions called the art of reasoning, much as it leaves the art of writing: some of the matter of logic, no doubt, it considers necessary- to clear the ground- but it makes itself the judge, here as in everything else; where it sees use, it uses; anything it finds superfluous, it leaves to whatever department of learning or practice may turn that matter to account.

(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) 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) 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) 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.

(5) "Philosophy," he said, "to him who heeds it, Noteth, not only in one place alone, After what manner Nature takes her course From Intellect Divine, and from its art; And if thy Physics carefully thou notest, After not many pages shalt thou find, That this your art as far as possible Follows, as the disciple doth the master; So that your art is, as it were, God's grandchild. From these two, if thou bringest to thy mind Genesis at the beginning, it behoves Mankind to gain their life and to advance; And since the usurer takes another way, Nature herself and in her follower Disdains he, for elsewhere he puts his hope. But follow, now, as I would fain go on, For quivering are the Fishes on the horizon, And the Wain wholly over Caurus lies, And far beyond there we descend the crag."

(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) He, then, who imitates opinion shows also preconception. When then one, having got an inkling of the subject, kindles it within in his soul by desire and study, he sets everything in motion afterwards in order to know it. For that which one does not apprehend, neither does he desire it, nor does he embrace the advantage flowing from it. Subsequently, therefore, the Gnostic at last imitates the Lord, as far as allowed to men, having received a sort of quality akin to the Lord Himself, in order to assimilation to God. But those who are not proficient in knowledge cannot judge the truth by rule. It is not therefore possible to share in the gnostic contemplations, unless we empty ourselves of our previous notions. For the truth in regard to every object of intellect and of sense is thus simply universally declared. For instance, we may distinguish the truth of painting from that which is vulgar, and decorous music from licentious. There is, then, also a truth of philosophy as distinct from the other philosophies, and a true beauty as distinct from the spurious. It is not then the partial truths, of which truth is predicated, but the truth itself, that we are to investigate, not seeking to learn names. For what is to be investigated respecting God is not one thing, but ten thousand. There is a difference between declaring God, and declaring things about God. And to speak generally, in everything the accidents are to be distinguished from the essence.

(1) If, however, it be necessary, dismissing these particulars, to speak what appears to me to be the truth, you do not rightly infer “ that a knowledge of this mathematical science cannot be obtained, because there is much dissonance concerning it, or because Chæremon, or some other, has written against it .” For if this reason were admitted, all things will be incomprehensible. For all sciences have ten thousand controvertists, and the doubts with which they are attended are innumerable. As, therefore, we are accustomed to say in opposition to the contentious, that contraries in things that are true are naturally discordant, and that it is not falsities alone that are hostile to each other; thus, also, we say respecting this mathematical science, that it is indeed true; but that those who wander from the scope of it, being ignorant of the truth, contradict it. This, however happens not in this science alone, but likewise in all the sciences, which are imparted by the Gods to men.

(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.

(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.

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

(2) Although at one time philosophy justified the Greeks, not conducting them to that entire righteousness to which it is ascertained to cooperate, as the first and second flight of steps help you in your ascent to the upper room, and the grammarian helps the philosopher. Not as if by its abstraction, the perfect Word would be rendered incomplete, or truth perish; since also sight, and hearing, and the voice contribute to truth, but it is the mind which is the appropriate faculty for knowing it. But of those things which co-operate, some contribute a greater amount of power; some, a less. Perspicuity accordingly aids in the communication of truth, and logic in preventing us from falling under the heresies by which we are assailed. But the teaching, which is according to the Saviour, is complete in itself and without defect, being "the power and wisdom of God;" and the Hellenic philosophy does not, by its approach, make the truth more powerful; but rendering powerless the assault of sophistry against it, and frustrating the treacherous plots laid against the truth, is said to be the proper "fence and wall of the vineyard." And the truth which is according to faith is as necessary for life as bread; while the preparatory discipline is like sauce and sweetmeats. "At the end of the dinner, the dessert is pleasant," according to the Theban Pindar. And the Scripture has expressly said, "The innocent will become wiser by understanding, and the wise will receive knowledge." "And he that speaketh of himself," saith the Lord, "seeketh his own glory; but He that seeketh His glory that sent Him is true, and there is no unrighteousness in Him." On the other hand, therefore, he who appropriates what belongs to the barbarians, and vaunts it is his own, does wrong, increasing his own glory, and falsifying the truth. It is such an one that is by Scripture called a "thief." It is therefore said, "Son, be not a liar; for falsehood leads to theft."

(24) Thus he, being magnanimous, possessing, through knowledge, what is the most precious of all, the best of all, being quick in applying himself to contemplation, retains in his soul the permanent energy of the objects of his contemplation, that is the perspicacious keenness of knowledge. And this power he strives to his utmost to acquire, by obtaining command of all the influences which war against the mind; and by applying himself without intermission to speculation, by exercising himself in the training of abstinence from pleasures, and of fight conduct in what he does; and besides, furnished with great experience both in study and in life, he has freedom of speech, not the power of a babbling tongue, but a power which employs plain language, and which neither for favour nor fear conceals aught of the things which may be worthily said at the fitting time, in which it is highly necessary to say them. He, then, having received the things respecting God from the mystic choir of the truth itself, employs language which urges the magnitude of virtue in accordance with its worth; and shows its results with an inspired elevation of prayer, being associated gnostically, as far as possible, with intellectual and spiritual objects.

(22) Having then moulded, as it were, a statue of the Gnostic, we have now shown who he is; indicating in outline, as it were, both the greatness and beauty of his character. What he is as to the study of physical phenomena shall be shown afterwards, when we begin to treat of the creation of the world.

(28) But him, who from this has trained himself to the summit of knowledge and the elevated height of the perfect man, all things relating to time and place help on, now that he has made it his choice to live infallibly, and subjects himself to training in order to the attainment of the stability of knowledge on each side. But in the case of those in whom there is still a heavy corner, leaning downwards, even that part which has been elevated by faith is dragged down. In him, then, who by gnostic training has acquired virtue which cannot be lost, habit becomes nature. And just as weight in a stone, so the knowledge of such an one is incapable of being lost. Not without, but through the exercise of will, and by the force of reason, and knowledge, and Providence, is it brought to become incapable of being lost. Through care it becomes incapable of being lost.

(7) 5. “Whoever, therefore, is able to analyze all the genera which are contained under one and the same principle, and again to compose and con-numerate them, he appears to me to be the wisest of men, and to possess the most perfect veracity. Farther still, he will also have discovered a beautiful place of survey, from which it will be possible to behold divinity, and all things that are in co-ordination with, and successive to him, subsisting separately, or distinct from each other. Having likewise entered this most ample road, being impelled in a right direction by intellect, and having arrived at the end of his course, he will have conjoined beginnings with ends, and will know that God is the principle, middle, and end, of all things which are accomplished according to justice and right reason.”