(15) As I said earlier, among the things that were created the monad is first, the dyad follows it, and the triad, up to the tenths. Now the tenths rule the hundredths; the hundredths rule the thousandths; the thousands rule the ten thousands. This is the pattern immortals. First Man is like this: His monad [...].

(9) Again the Barbarian philosophy knows the world of thought and the world of sense - the former archetypal, and the latter the image of that which is called the model; and assigns the former to the Monad, as being perceived by the mind, and the world of sense to the number six. For six is called by the Pythagoreans marriage, as being the genital number; and he places in the Monad the invisible heaven and the holy earth, and intellectual light. For "in the beginning," it is said, "God made the heaven and the earth; and the earth was invisible." And it is added, "And God said, Let there be light; and there was light." And in the material cosmogony He creates a solid heaven (and what is solid is capable of being perceived by sense), and a visible earth, and a light that is seen. Does not Plato hence appear to have left the ideas of living creatures in the intellectual world, and to make intellectual objects into sensible species according to their genera? Rightly then Moses says, that the body which Plato calls "the earthly tabernacle" was formed of the ground, but that the rational soul was breathed by God into man's face. For there, they say, the ruling faculty is situated; interpreting the access by the senses into the first man as the addition of the soul.

(25) The Monad first existed, and the Paternal Monad still subsists.

(5) We return to our statement that The First remains intact even when other entities spring from it.

In the case of numbers, the unit remains intact while something else produces, and thus number arises in dependence on the unit: much more then does the unit, The One, remain intact in the principle which is before all beings; especially since the entities produced in its likeness, while it thus remains intact, owe their existence to no other, but to its own all-sufficient power.

And just as there is, primarily or secondarily, some form or idea from the monad in each of the successive numbers- the later still participating, though unequally, in the unit- so the series of Beings following upon The First bear, each, some form or idea derived from that source. In Number the participation establishes Quantity; in the realm of Being, the trace of The One establishes reality: existence is a trace of The One- our word for entity may probably be connected with that for unity.

What we know as Being, the first sequent upon The One, advanced a little outward, so to speak, then chose to go no further, turned inward again and comes to rest and is now the reality and hearth of the universe. Pressing on the word for Being we have the word "hen" , an indication that in our very form of speech we tell, as far as may be, that Being is that which proceeds from The One. Thus both the thing that comes to be and Being itself are carriers of a copy, since they are outflows from the power of The primal One: this power sees and in its emotion tries to represent what it sees and breaks into speech "On"; "einai"; "ousia," "hestia" , sounds which labour to express the essential nature of the universe produced by the travail of the utterer and so to represent, as far as sounds may, the origin of reality.

(9) Anaxagoras, again, in his assertion of a Mind pure and unmixed, affirms a simplex First and a sundered One, though writing long ago he failed in precision.

Heraclitus, with his sense of bodily forms as things of ceaseless process and passage, knows the One as eternal and intellectual.

In Empedocles, similarly, we have a dividing principle, "Strife," set against "Friendship"- which is The One and is to him bodiless, while the elements represent Matter.

Later there is Aristotle; he begins by making the First transcendent and intellective but cancels that primacy by supposing it to have self-intellection. Further he affirms a multitude of other intellective beings- as many indeed as there are orbs in the heavens; one such principle as in- over to every orb- and thus his account of the Intellectual Realm differs from Plato's and, failing reason, he brings in necessity; though whatever reasons he had alleged there would always have been the objection that it would be more reasonable that all the spheres, as contributory to one system, should look to a unity, to the First.

We are obliged also to ask whether to Aristotle's mind all Intellectual Beings spring from one, and that one their First; or whether the Principles in the Intellectual are many.

If from one, then clearly the Intellectual system will be analogous to that of the universe of sense-sphere encircling sphere, with one, the outermost, dominating all- the First will envelop the entire scheme and will be an Intellectual Kosmos; and as in our universe the spheres are not empty but the first sphere is thick with stars and none without them, so, in the Intellectual Kosmos, those principles of Movement will envelop a multitude of Beings, and that world will be the realm of the greater reality.

If on the contrary each is a principle, then the effective powers become a matter of chance; under what compulsion are they to hold together and act with one mind towards that work of unity, the harmony of the entire heavenly system? Again what can make it necessary that the material bodies of the heavenly system be equal in number to the Intellectual moving principles, and how can these incorporeal Beings be numerically many when there is no Matter to serve as the basis of difference?

For these reasons the ancient philosophers that ranged themselves most closely to the school of Pythagoras and of his later followers and to that of Pherekudes, have insisted upon this Nature, some developing the subject in their writings while others treated of it merely in unwritten discourses, some no doubt ignoring it entirely.

(5) Those to whom existence comes about by chance and automatic action and is held together by material forces have drifted far from God and from the concept of unity; we are not here addressing them but only such as accept another nature than body and have some conception of soul.

Soul must be sounded to the depths, understood as an emanation from Intellectual-Principle and as holding its value by a Reason-Principle thence infused. Next this Intellect must be apprehended, an Intellect other than the reasoning faculty known as the rational principle; with reasoning we are already in the region of separation and movement: our sciences are Reason-Principles lodged in soul or mind, having manifestly acquired their character by the presence in the soul of Intellectual-Principle, source of all knowing.

Thus we come to see Intellectual-Principle almost as an object of sense: the Intellectual Kosmos is perceptible as standing above soul, father to soul: we know Intellectual-Principle as the motionless, not subject to change, containing, we must think, all things; a multiple but at once indivisible and comporting difference. It is not discriminate as are the Reason-Principles, which can in fact be known one by one: yet its content is not a confusion; every item stands forth distinctly, just as in a science the entire content holds as an indivisible and yet each item is a self-standing verity.

Now a plurality thus concentrated like the Intellectual Kosmos is close upon The First- and reason certifies its existence as surely as that of soul- yet, though of higher sovereignty than soul, it is not The First since it is not a unity, not simplex as unity, principle over all multiplicity, must be.

Before it there is That which must transcend the noblest of the things of Being: there must be a prior to this Principle which aiming towards unity is yet not unity but a thing in unity's likeness. From this highest it is not sundered; it too is self-present: so close to the unity, it cannot be articulated: and yet it is a principle which in some measure has dared secession.

That awesome Prior, The Unity, is not a being, for so its unity would be vested in something else: strictly no name is apt to it, but since name it we must there is a certain rough fitness in designating it as unity with the understanding that it is not the unity of some other thing.

Thus it eludes our knowledge, so that the nearer approach to it is through its offspring, Being: we know it as cause of existence to Intellectual-Principle, as fount of all that is best, as the efficacy which, self-perduring and undiminishing, generates all beings and is not to be counted among these its derivatives, to all of which it must be prior.

This we can but name The Unity, indicating it to each other by a designation that points to the concept of its partlessness while we are in reality striving to bring our own minds to unity. We are not to think of such unity and partlessness as belong to point or monad; the veritable unity is the source of all such quantity which could not exist unless first there existed Being and Being's Prior: we are not, then, to think in the order of point and monad but to use these- in their rejection of magnitude and partition- as symbols for the higher concept.

(5) As a manifold, then, this God, the Intellectual-Principle, exists within the Soul here, the Soul which once for all stands linked a member of the divine, unless by a deliberate apostasy.

Bringing itself close to the divine Intellect, becoming, as it were, one with this, it seeks still further: What Being, now, has engendered this God, what is the Simplex preceding this multiple; what the cause at once of its existence and of its existing as a manifold; what the source of this Number, this Quantity?

Number, Quantity, is not primal: obviously before even duality, there must stand the unity.

The Dyad is a secondary; deriving from unity, it finds in unity the determinant needed by its native indetermination: once there is any determination, there is Number, in the sense, of course, of the real Number. And the soul is such a number or quantity. For the Primals are not masses or magnitudes; all of that gross order is later, real only to the sense-thought; even in seed the effective reality is not the moist substance but the unseen- that is to say Number and the Reason-Principle .

Thus by what we call the Number and the Dyad of that higher realm, we mean Reason Principles and the Intellectual-Principle: but while the Dyad is, as regards that sphere, undetermined- representing, as it were, the underly of The One- the later Number - that which rises from the Dyad and The One- is not Matter to the later existents but is their forming-Idea, for all of them take shape, so to speak, from the ideas rising within this. The determination of the Dyad is brought about partly from its object- The One- and partly from itself, as is the case with all vision in the act of sight: intellection is vision occupied upon The One.

(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.

(1) Prior to truly existing beings and total principles [or principles that rank as wholes], there is one God, prior to [that deity who is generally believed to be] the first God and king, immoveable, and abiding in the solitude of his own unity. For neither is the intelligible connected with him, nor any thing else; but he is established as the paradigm of the God who is the father of himself, is self begotten, is father alone, and is truly good. For he is something even greater and prior to this, is the fountain of all things, and the root of the first intelligible forms. But from this one deity, the God who is sufficient to himself unfolds himself, into light. For this divinity, also, is the principle and God of Gods, a monad from the one , prior to essence, and the principle of essence. For from him entity and essence are derived; and hence, also, he is denominated the principle of intelligibles. These, therefore, are the most ancient principles of all things, which Hermes arranges prior to the etherial, empyrean, and celestial Gods. He likewise delivered to us the history of the empyrean Gods in one hundred books; of the etherial in an equal number; and of the celestial in a thousand books.

(4) These things we have learned from the Divine Oracles, and you will find all the sacred Hymnology, so to speak, of the Theologians arranging the Names, of God with a view to make known and praise the beneficent progressions of the Godhead. Hence, we see in almost every theological treatise the Godhead religiously celebrated, both as Monad and unity, on account of the simplicity and oneness of Its supernatural indivisibility from which, as an unifying power, we are unified, and when our divided diversities have been folded together, in a manner supermundane, we are collected into a godlike unit and divinely-imitated union; but, also as Triad, on account of the tri-personal manifestation of the superessential productiveness, from which all paternity in heaven and on earth is, and is named; also, as cause of things existing, since all things were brought into being on account of Its creative goodness, both wise and good, because all things, whilst preserving the properties of their own nature unimpaired, are filled with every inspired harmony and holy comeliness, but pre-eminently, as loving towards man, because It truly and wholly shared, in one of Its Persons (subsistencies), in things belonging to us, recalling to Itself and replacing the human extremity, out of which, in a manner unutterable, the simplex Jesus was composed, and the Everlasting took a temporal duration, and He, Who is superessentially exalted above every rank throughout all nature, became within our nature, whilst retaining the unchangeable and unconfused steadfastness of His own properties. And whatever other divinely-wrought illuminations, conformable to the Oracles, the secret tradition of our inspired leaders bequeathed to us for our enlightenment, in these also we have been initiated; now indeed, according to our capacity, through the sacred veils of the loving-kindness towards man, made known in the Oracles and hierarchical traditions, which envelop things intellectual in things sensible, and things superessential in things that are; and place forms and shapes around the formless and shapeless, and multiply and fashion the supernatural and formless simplicity in the variedness of the divided symbols; but, then, when we have become incorruptible and immortal, and have reached the Christlike and most blessed repose, according to the Divine saying, we shall be "ever with the Lord," fulfilled, through all-pure contemplations, with the visible manifestation of God covering us with glory, in most brilliant splendours, as the disciples in the most Divine Transfiguration, and participating in His gift of spiritual light, with unimpassioned and immaterial mind; and, even in the union beyond conception, through the agnostic and most blessed efforts after rays of surpassing brilliancy, in a more Divine imitation of the supercelestial minds. For we shall be equal to the angels, as the truth of the Oracles affirms, and sons of God, being sons of the resurrection. But now, to the best of our ability, we use symbols appropriate to things Divine, and from these again we elevate ourselves, according to our degree, to the simple and unified truth of the spiritual visions; and after our every conception of things godlike, laying aside our mental energies, we cast ourselves, to the best of our ability, towards the superessential ray, in which all the terms of every kind of knowledge pre-existed in a manner beyond expression, which it is neither possible to conceive nor express, nor entirely in any way to contemplate, on account of Its being pre-eminently above all things, and super-unknown, and Its having previously contained within Itself, superessentially, the whole perfections of all kinds of essential knowledge and power, and Its being firmly fixed by Its absolute power, above all, even the supercelestial minds. For, if all kinds of knowledge are of things existing, and are limited to things existing, that, beyond all essence, is also elevated above all knowledge.

(4) We have to enquire into the existence of the Numbers in the Intellectual. Are they Ideas added to the other Ideas? Or are they no more than necessary concomitants to the Ideas?

In the latter case, Being, as the first would give us the conception of the Monad; then since Being produces motion and rest, Three exists; and so on for all the other members of the realm of Being. Or perhaps there is one monad for each member, or a monad for the first, with a dyad for its next, since there exists a series, and a corresponding number for every successive total, decad for ten, and so on.

If, on the contrary, Number is a direct production of the Intellectual-Principle , there is the question whether it preceded or followed the other Ideas.

Plato, where he says that men arrived at the conception of Number by way of the changes of day and night- thus making the concept depend upon variation among things- seems to hold that the things numerable precede and by their differences produce number: Number then would consist in a process within the human mind passing onwards from thing to thing; it results by the fact that the mind takes count, that is when the mind traverses things and reports their differences; observing pure identity unbroken by difference, it says One. But there is the passage where he tells us that the veritable Number has Being, is a Being; this is the opposed view that Number is no product of the reckoning mind but a reality in itself, the concept of which is reawakened in the mind by changes in things of sense.

(11) It may be suggested that the decad is nothing more than so many henads; admitting the one henad why should we reject the ten? As the one is a real existence why not the rest? We are certainly not compelled to attach that one henad to some one thing and so deprive all the rest of the means to unity: since every existent must be one thing, the unity is obviously common to all. This means one principle applying to many, the principle whose existence within itself we affirmed to be presupposed by its manifestation outside.

But if a henad exists in some given object and further is observed in something else, then that first henad being real, there cannot be only one henad in existence; there must be a multiplicity of henads.

Supposing that first henad alone to exist, it must obviously be lodged either in the thing of completest Being or at all events in the thing most completely a unity. If in the thing of completest Being, then the other henads are but nominal and cannot be ranked with the first henad, or else Number becomes a collection of unlike monads and there are differences among monads . If that first henad is to be taken as lodged in the thing of completest unity, there is the question why that most perfect unity should require the first henad to give it unity.

Since all this is impossible, then, before any particular can be thought of as a unit, there must exist a unity bare, unrelated by very essence. If in that realm also there must be a unity apart from anything that can be called one thing, why should there not exist another unity as well?

Each particular, considered in itself, would be a manifold of monads, totalling to a collective unity. If however Nature produces continuously- or rather has produced once for all- not halting at the first production but bringing a sort of continuous unity into being, then it produces the minor numbers by the sheer fact of setting an early limit to its advance: outgoing to a greater extent- not in the sense of moving from point to point but in its inner changes- it would produce the larger numbers; to each number so emerging it would attach the due quantities and the appropriate thing, knowing that without this adaptation to Number the thing could not exist or would be a stray, something outside, at once, of both Number and Reason.

(1) According to another order, however, he arranges the God Emeph prior to, and as the leader of, the celestial Gods. And he says that this God is an intellect, itself intellectually perceiving itself, and converting intellections to itself. But prior to this, he arranges the impartible one, which he says is the first paradigm, and which he denominates Eicton . In this, also, is contained that which is first intellective, and the first intelligible, and which is to be worshiped through silence alone. Besides these, also, other leaders preside over the fabrication of visible natures. For the demiurgic intellect, who is the curator of truth and wisdom, descending into generation, and leading the power; of occult reasons into light, is called in the Egyptian tongue Amon; but in consequence of perfecting all things with veracity and artificially, he is called Ptha. The Greeks, however, assume Ptha for Vulcan, solely directing their attention to the artificial peculiarity of the God. So far, also, as he is effective of good he is called Osiris; and he has other appellations through other powers and energies.

(14) On the nature of the Intellectual-Principle we get light from its manifestations; they show that it demands such diversity as is compatible with its being a monad. Take what principle you will, that of plant or animal: if this principle were a pure unity and not a specifically varied thing, it could not so serve as principle; its product would be Matter, the principle not having taken all those forms necessary if Matter is to be permeated and utterly transformed. A face is not one mass; there are nose and eyes; and the nose is not a unity but has the differences which make it a nose; as bare unity it would be mere mass.

There is infinity in Intellectual-Principle since, of its very nature, it is a multiple unity, not with the unity of a house but with that of a Reason-Principle, multiple in itself: in the one Intellectual design it includes within itself, as it were in outline, all the outlines, all the patterns. All is within it, all the powers and intellections; the division is not determined by a boundary but goes ever inward; this content is held as the living universe holds the natural forms of the living creatures in it from the greatest to the least, down even to the minutest powers where there is a halt at the individual form. The discrimination is not of items huddled within a sort of unity; this is what is known as the Universal Sympathy, not of course the sympathy known here which is a copy and prevails amongst things in separation; that authentic Sympathy consists in all being a unity and never discriminate.

(23) "First Man has his unique mind, within, and thought - just as he is it (thought) - (and) considering, reflecting, rationality, power. All the attributes that exist are perfect and immortal. In respect to imperishableness, they are indeed equal. (But) in respect to power, they are different, like the difference between father and son and thought, and the thought and the remainder. As I said earlier, among the things that were created, the monad is first.

(4) We have said that all must be brought back to a unity: this must be an authentic unity, not belonging to the order in which multiplicity is unified by participation in what is truly a One; we need a unity independent of participation, not a combination in which multiplicity holds an equal place: we have exhibited, also, the Intellectual Realm and the Intellectual-Principle as more closely a unity than the rest of things, so that there is nothing closer to The One. Yet even this is not The purely One.

This purely One, essentially a unity untouched by the multiple, this we now desire to penetrate if in any way we may.

Only by a leap can we reach to this One which is to be pure of all else, halting sharp in fear of slipping ever so little aside and impinging on the dual: for if we fail of the centre, we are in a duality which does not even include The authentic One but belongs on both sides, to the later order. The One does not bear to be numbered in with anything else, with a one or a two or any such quantity; it refuses to take number because it is measure and not the measured; it is no peer of other entities to be found among them; for thus, it and they alike would be included in some container and this would be its prior, the prior it cannot have. Not even essential number can belong to The One and certainly not the still later number applying to quantities; for essential number first appears as providing duration to the divine Intellection, while quantitative number is that which furnishes the Quantity found in conjunction with other things or which provides for Quantity independent of things, if this is to be thought of as number at all. The Principle which in objects having quantitative number looks to the unity from which they spring is a copy of the Principle which in the earlier order of number looks to the veritable One; and it attains its existence without in the least degree dissipating or shattering that prior unity: the dyad has come into being, but the precedent monad still stands; and this monad is quite distinct within the dyad from either of the two constituent unities, since there is nothing to make it one rather than the other: being neither, but simply that thing apart, it is present without being inherent.

But how are the two unities distinct and how is the dyad a unity, and is this unity the same as the unity by which each of the constituents is one thing?

Our answer must be that the unity is that of a participation in the primal unity with the participants remaining distinct from that in which they partake; the dyad, in so far as it is one thing, has this participation, but in a certain degree only; the unity of an army is not that of a single building; the dyad, as a thing of extension, is not strictly a unit either quantitatively or in manner of being.

Are we then to take it that the monads in the pentad and decad differ while the unity in the pentad is the same as that in the decad?

Yes, in the sense in which, big and little, ship is one with ship, army with army, city with city; otherwise, no. But certain difficulties in this matter will be dealt with later.