(1) So much then on these matters; but let us now at last, with your good pleasure, approach the most difficult subject in the whole discourse. For the Word of God predicates everything, singly and collectively, respecting the Cause of all, and extols Him both as Perfect and as One. He is then perfect not only as self-perfect, and solitarily separated within Himself, by Himself, and throughout most perfect, but also as super-perfect, as beseems His pre-eminence over all, and limiting every infinitude, and surpassing every term, and by none contained or comprehended; but even extending at once to all, and above all, by His unfailing gratuities and endless energies. But, on the other hand, He is called perfect, both as without increase, and always perfect, and as undiminished, as pre-holding all things in Himself, and overflowing as beseems one, inexhaustible, and same, and super-full, and undiminished, abundance, in accordance with which He perfects all perfect things, and fills them with His own perfection.

(1) With respect to your inquiry, “ what the peculiarities are in each of the more excellent genera, by which they are separated from each other? ” if you understand by peculiarities the specific differences under the same genus, which are distinguished by opposite qualities, as the rational and irrational under animal; we by no means admit peculiarities of this kind, in things which neither have one common essence, nor an equal contradistinction, nor receive a composition from something common, which is indefinite, and defines the peculiarity. But if you apprehend the peculiarity to be, as in prior and secondary natures, differing in their whole essence and whole genus, a certain simple condition of being, definite in itself; in this case, your conception of peculiarities will be reasonable. For these peculiarities of things, which have an eternal subsistence, are simple, and entirely exempt. The inquiry, however, proceeds imperfectly. For it was necessary, in the first place, to inquire what the peculiarities are of the more excellent genera, according to essence; in the next place, what they are according to power; and thus afterwards, what they are according to energy.

(9) the Pure intelligence so called because it purifies the Numerations, it proves and corrects the designing of their representation, and disposes their unity with which they are combined without diminution or division.

(1) St. Paul saith, “When that which is perfect is come, then that which is in part shall be done away.”6 Now mark what is “that which is perfect,” and “that which is in part.” “That which is perfect” is a Being, who hath comprehended and included all things in Himself and His own Substance, and without whom, and beside whom, there is no true Substance, and in whom all things have their Substance. For He is the Substance of all things, and is in Himself unchangeable and immoveable, and changeth and moveth all things else. But “that which is in part,” or the Imperfect, is that which hath its source in, or springeth from the Perfect; just as a brightness or a visible appearance floweth out from the sun or a candle, and appeareth to be somewhat, this or that. And it is called a creature; and of all these “things which are in part,” none is the Perfect. So also the Perfect is none of the things which are in part. The things which are in part can be apprehended, known, and expressed; but the Perfect cannot be apprehended, known, or expressed by any creature as creature. Therefore we do not give a name to the Perfect, for it is none of these. The creature as creature cannot know nor apprehend it, name nor conceive it. “Now when that which is Perfect is come, then that which is in part shall be done away.” But when doth it come?

(99) "Perfect numbers, therefore, are beautiful images of the virtues which are certain media between excess and defect, and are not summits, as by some of the ancients they were supposed to be. And evil indeed is opposed to evil, but both are opposed to one good. Good, however, is never opposed to good, but to two evils at one and the same time. Thus timidity is opposed to audacity, to both [of] which the want of true courage is common; but both timidity and audacity are opposed to fortitude. Craft also is opposed to fatuity, to both [of] which the want of intellect is common; and both these are opposed to prudence. Thus, too, profusion is opposed to avarice, to both [of] which illiberality is common; and both these are opposed to liberality. And in a similar manner in the other virtues; by all [of] which it is evident that perfect numbers have a great similitude to the virtues. But they also resemble the virtues on another account; for they are rarely found, as being few, and they are generated in a very constant order. On the contrary, an infinite multitude of superabundant and diminished numbers may be found, nor are they disposed in any orderly series, nor generated from any certain end; and hence they have a great similitude to the vices, which are numerous, inordinate, and indefinite."

(524) Most true. This was what I meant when I spoke of impressions which invited the intellect, or the reverse—those which are simultaneous with opposite impressions, invite thought; those which are not simultaneous do not. I understand, he said, and agree with you. And to which class do unity and number belong? I do not know, he replied. Think a little and you will see that what has preceded will supply the answer; for if simple unity could be adequately perceived by the sight or by any other sense, then, as we were saying in the case of the finger, there would be nothing to attract towards being; but when there is some contradiction always present, and one is the reverse of one and involves the conception of plurality, then thought begins to be aroused within us, and the soul perplexed and wanting to arrive at a decision asks ‘What is absolute unity?’ This is the way in which the study of the one has a power of drawing and converting the mind to the contemplation of true being. And surely, he said, this occurs notably in the case of one; for we see the same thing to be both one and infinite in multitude? Yes, I said; and this being true of one must be equally true of all number? Certainly. And all arithmetic and calculation have to do with number? Yes.

(6) The self-existent Super-goodness then, as projecting the first gift of self-existent being, is celebrated by the elder and first of the participations; and being itself is from It, and in It; as also the sources of things being, and all the things that be, and the things howsoever sustained by being, and that irresistibly, and comprehensively and uniformly. For even in a monad, every number preexists in the form of a unit, and the monad holds every number in itself singly. And every number is united in the monad, but so far as it advances from the monad, so far it is distributed and multiplied. And in a centre, all the lines of the circle coexist within one union, and the point holds all the straight lines in itself, uniformly united, both to each other, and to the one source from which they proceeded, and in the centre itself they are completely united; but standing slightly distant from it, they are slightly separated; but when more apart, more so. And in one word, the nearer they are to the centre, the more they are united to it and to each other? and the more they stand apart from it, the more they stand apart from each other.

(11) We divide, therefore, the genus of what is proposed for consideration into the species contained in it; as, in the case of man, we divide animal, which is the genus, into the species that appear in it, the mortal, and the immortal. And thus, by continually dividing those genera that seem to be compound into the simpler species, we arrive at the point which is the subject of investigation, and which is incapable of further division.

(1) And all dependent from Above are subdivided into species in the fashion which I am to tell. The genera of all things company with their own species; so that the genus is a class in its entirety, the species is part of a genus. The genus of the Gods will, therefore, make the species of the Gods out of itself. In like way, too, the genus of the daimons, and of men, likewise of birds, and of all [animals] the Cosmos doth contain within itself, brings into being species like itself. There is besides a genus other than the animal,—a genus, or indeed a soul, in that it’s not without sensation,—in consequence of which it both finds happiness in suitable conditions, and pines and spoils in adverse ones;—I mean [the class] of all things on the earth which owe their life to the sound state of roots and shoots, of which the various kinds are scattered through the length and breadth of Earth.

(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.

(2) But One, because He is uniquely all, as beseems an excess of unique Oneness, and is Cause of all without departing from the One. For there is no single existing being, which does not participate in the one, but as every number participates in an unit, and one dual and one decade is spoken of, and one half, and one third and tenth, so everything, and part of everything participates in the one, and by the fact that the One is, all existing things are. And the Cause of all is not One, as one of many, but before every one and multitude, and determinative of every one and multitude. For there is no multitude which does not partake in some way or other of the one. Yea, that which is many by parts, is one in the whole; and the many by the accidents, is one by the subject; and the many by the number or the powers, is one by the species, and the many by the species, is one by the genus; and the many by the progressions, is one by the source. And there is no single thing which does not participate in some way in the one, which uniformly pre-held in the uniqueness throughout all, all and whole, all, even the things opposed. And indeed, without the one there will not be a multitude, but without the multitude there will be the one, even as the unit previous to every multiplied number; and, if any one should suppose, that all things are united to all, the All will be one in the whole.

(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.”

(1) Here I find perfection apprehended variously in relation to Him who excels in every virtue. Accordingly one is perfected as pious, and as patient, and as continent, and as a worker, and as a martyr, and as a Gnostic. But I know no one of men perfect in all things at once, while still human, though according to the mere letter of the law, except Him alone who for us clothed Himself with humanity. Who then is perfect? He who professes abstinence from what is bad.

(11) This then is sufficient on these matters, let us now advance to the purpose of the discourse by unfolding, to the best of our ability, the kindred and common Names of the Divine distinction. And, in order that we may first distinctly define everything, in order, we call Divine distinction, as we have said, the goodly progressions of the Godhead. For, by being given to all things existing, and pouring forth the whole imparted goods in abundance, It is distinguished uniformly, and multiplied uniquely, and is moulded into many from the One, whilst being self-centred. For example, since Almighty God is superessentially Being, but the Being is bequeathed to things being, and produces the whole Essences; that One Being is said to be fashioned in many forms, by the production from Itself of the many beings, whilst It remains undiminished, and One in the multiplicity, and Unified during the progression, and complete in the distinction, both by being superessentially exalted above all beings, and by the unique production of the whole; and by the un-lessened stream of His undiminished distributions. Further, being One, and having distributed the One, both to every part and whole, both to one and to multitude, He is One, as it were, superessentially, being neither a part of the multitude, nor whole from parts; and thus is neither one, nor partakes of one, nor has the one. But, beyond these, He is One, above the one, to things existing--One, and multitude indivisible, unfilled super-fulness, producing and perfecting and sustaining every one thing and multitude. Again, by the Deification from Itself, by the Divine likeness of many who become gods, according to their several capacity, there seems, and is said to be, a distinction and multiplication of the One God, but. He is none the less the Supreme God, and super-God, superessentially One God,--undivided in things divided, unified in Himself, both unmingled and unmultiplied in the many. And when the common conductor of ourselves, and of our leader to the Divine gift of light,--he, who is great in Divine mysteries--the light of the world--had thought out this in a manner above natural ability,--he speaks as follows, from the inspiration of God, in his sacred writings--"For, even if there are who are called gods, whether in heaven or upon earth, as there are gods many and lords many; but to us there is One God, the Father, from Whom are all things, and we unto Him,--and One Lord Jesus Christ, through Whom are all things, and we, through Him." For, with regard to things Divine, the unions overrule the distinctions, and precede them, and are none the less unified, even after the self-centred and unified distinction. These, the mutual and common distinctions, or rather the goodly progressions of the whole Deity, we will endeavour to the best of our ability to celebrate from the Names of God, which make them known in the Oracles;--first, having laid down, as we have said, that every beneficent Name of God, to whichever of the supremely Divine Persons it may be applied, is to be understood with reference to the whole Supremely Divine wholeness unreservedly.

(9) Accordingly we must first take the genus, in which are the points that are nearest those above; and after this the next difference. And the succession of differences, when cut and divided, completes the "What it is." There is no necessity for expressing all the differences of each thing, but those which form the species.

(2) Moreover, of perfect men there are two differences. For some of them are naturally perfect; but others are perfect according to life. And those indeed alone that are good, are naturally perfect. But these are such as possess virtue. For the virtue of the nature of every thing is a summit and perfection. Thus the virtue of the eye is the summit and perfection of the nature of the eye. But the virtue of man is the summit and perfection of the nature of man. Those also are perfect according to life, who are not only good, but happy. For felicity, indeed, is the perfection of human life. But human, life is a system of actions: and: felicity gives completion to the actions.

Virtue also and fortune give completion to actions; virtue, indeed, according to use; but good fortune according to prosperity. God therefore is neither good through learning virtue from any one, nor is he happy through being attended by good fortune. For he is good by nature, and happy by nature, and always was and will be, and will never cease to be, such; since he is incorruptible, and naturally good. But man is neither happy nor good by nature, but requires discipline and providential care. And in order to become good, indeed; he requires virtue; but in order to become happy, good fortune. On this account, human felicity summarily consists of these two things, viz. of praise, and the predication of beatitude.

Of praise indeed, from virtue; but of the predication of beatitude, from prosperity. It possesses virtue therefore, through a divine destiny, but prosperity through a mortal allotment. But mortal are suspended from divine concerns, and terrestrial from such as are celestial. Things subordinate, also, are suspended from such as are more excellent. And on this account, the good man who follows the Gods is happy; but he who follows mortal natures is miserable. For to him who possesses wisdom, prosperity is good and useful. It is good, indeed, through his knowledge of the use of it; but it is useful, through his co-operating with actions. It is beautiful, therefore, when prosperity is present with intellect, and when sailing as it were with a prosperous wind, actions are performed looking to virtue; just as a pilot looks to the motions of the stars. For thus, he who does this will not only follow God, but will also co-arrange human with divine good.

(41) Timaeus: it is to be fully perfect. But if by my doing these creatures came into existence and partook of life, they would be made equal unto gods; in order, therefore, that they may be mortal and that this World-all may be truly All, do ye turn yourselves, as Nature directs, to the work of fashioning these living creatures, imitating the power showed by me in my generating of you. Now so much of them as it is proper to designate 'immortal,' the part we call divine which rules supreme in those who are fain to follow justice always and yourselves, that part I will deliver unto you when I have sown it and given it origin.

(4) Will not, therefore, he who surveys this conspicuous statue of the Gods, thus united to itself, be ashamed to have a different opinion of the Gods, who are the causes of it, so as to introduce among them sections, and separations, and corporeal-formed circumscriptions? I, indeed, should think, that every one would be thus disposed. For if there is no ratio, no habitude of symmetry, no communion of essence, nor a connexion either in capacity or in energy, between that which is adorned and the adorning cause; if this be the case, there will neither be found in the world a certain extension according to interval, nor local comprehension, nor partible interception, nor any other such like connascent equalization in the presence of the Gods [with mundane natures]. For in things which are of a kindred nature, according to essence and power, or which are, in a certain respect, of the same species, or homogeneous, a certain comprehension, or conservation, may be discovered. But in such things as are entirely exempt from all mundane wholes, what opposing circumstance, or transition through all things, or partible circumscription, or local comprehension, or any thing else of this kind can justly be perceived? I think, therefore, that the several participants of the divinities are of such a nature, that some partake of them etherially, others aerially, and others aquatically; which also, the art of divine works perceiving, employs adaptations and invocations, conformable to such a division. And thus much concerning the distribution of the more excellent genera into the world.

(1) This is the meaning of that saying of St. Paul: “When that which is perfect is come” (that is, when it is known), “then that which is in part” (to wit, creature-nature, qualities, the I, the Self, the Mine) will be despised and counted for nought. So long as we think much of these things, cleave to them with love, joy, pleasure or desire, so long remaineth the Perfect unknown to us. But it might further be said, “Thou sayest, beside the Perfect there is no Substance, yet sayest again that somewhat floweth out from it: now is not that which hath flowed out from it, something beside it.” Answer: This is why we say, beside it, or without it, there is no true Substance. That which hath flowed forth from it, is no true Substance, and hath no Substance except in the Perfect, but is an accident, or a brightness, or a visible appearance, which is no Substance, and hath no Substance except in the fire whence the brightness flowed forth, such as the sun or a candle.

(2) Nor, even though we should admit that this essence is especially in want of such things, will it require the aid of men to a sacred worship of this kind; since it is itself filled from itself, and from the nature of the world, and the perfection which is in generation; and, if it be lawful so to speak, prior to being in want it receives the self-sufficient, through the never failing wholeness of the world and its own proper plenitude, and because all the more excellent genera are full of appropriate good. Let this, therefore, be a lenitive for us in common, concerning the worship of the undefiled genera, as being appropriately coadapted to the beings that are more excellent than we, and because pure things are introduced to pure, and impassive things to impassive, natures.