(5) How then can a multitude of essential beings be really one?

Obviously either the one essence will be entire in all, or the many will rise from a one which remains unaltered and yet includes the one- many in virtue of giving itself, without self-abandonment, to its own multiplication.

It is competent thus to give and remain, because while it penetrates all things it can never itself be sundered: this is an identity in variety.

There is no reason for dismissing this explanation: we may think of a science with its constituents standing as one total, the source of all those various elements: again, there is the seed, a whole, producing those new parts in which it comes to its division; each of the new growths is a whole while the whole remains undiminished: only the material element is under the mode of part, and all the multiplicity remains an entire identity still.

It may be objected that in the case of science the constituents are not each the whole.

But even in the science, while the constituent selected for handling to meet a particular need is present actually and takes the lead, still all the other constituents accompany it in a potential presence, so that the whole is in every part: only in this sense is the whole science distinguished from the part: all, we may say, is here simultaneously effected: each part is at your disposal as you choose to take it; the part invites the immediate interest, but its value consists in its approach to the whole.

The detail cannot be considered as something separate from the entire body of speculation: so treated it would have no technical or scientific value; it would be childish divagation. The one detail, when it is a matter of science, potentially includes all. Grasping one such constituent of his science, the expert deduces the rest by force of sequence.

the geometrician, in his analysis, shows that the single proposition includes all the items that go to constitute it and all the propositions which can be developed from it.

It is our feebleness that leads to doubt in these matters; the body obscures the truth, but There all stands out clear and separate.

(15) Conferring- but how? As itself possessing them or not? How can it convey what it does not possess, and yet if it does possess how is it simplex? And if, again, it does not, how is it the source of the manifold?

A single, unmanifold emanation we may very well allow- how even that can come from a pure unity may be a problem, but we may always explain it on the analogy of the irradiation from a luminary- but a multitudinous production raises question.

The explanation is that what comes from the Supreme cannot be identical with it and assuredly cannot be better than it- what could be better than The One or the utterly transcendent? The emanation, then, must be less good, that is to say, less self-sufficing: now what must that be which is less self-sufficing than The One? Obviously the Not-One, that is to say, multiplicity, but a multiplicity striving towards unity; that is to say, a One-that-is-many.

All that is not One is conserved by virtue of the One, and from the One derives its characteristic nature: if it had not attained such unity as is consistent with being made up of multiplicity we could not affirm its existence: if we are able to affirm the nature of single things, this is in virtue of the unity, the identity even, which each of them possesses. But the all-transcendent, utterly void of multiplicity, has no mere unity of participation but is unity's self, independent of all else, as being that from which, by whatever means, all the rest take their degree of unity in their standing, near or far, towards it.

In virtue of the unity manifested in its variety it exhibits, side by side, both an all-embracing identity and the existence of the secondary: all the variety lies in the midst of a sameness, and identity cannot be separated from diversity since all stands as one; each item in that content, by the fact of participating in life, is a One-many: for the item could not make itself manifest as a One-and-all.

Only the Transcendent can be that; it is the great beginning, and the beginning must be a really existent One, wholly and truly One, while its sequent, poured down in some way from the One, is all, a total which has participation in unity and whose every member is similarly all and one.

What then is the All?

The total of which the Transcendent is the Source.

But in what way is it that source? In the sense, perhaps, of sustaining things as bestower of the unity of each single item?

That too; but also as having established them in being.

But how? As having, perhaps, contained them previously?

We have indicated that, thus, the First would be a manifold.

May we think, perhaps, that the First contained the universe as an indistinct total whose items are elaborated to distinct existence within the Second by the Reason-Principle there? That Second is certainly an Activity; the Transcendent would contain only the potentiality of the universe to come.

But the nature of this contained potentiality would have to be explained: it cannot be that of Matter, a receptivity, for thus the Source becomes passive- the very negation of production.

How then does it produce what it does not contain? Certainly not at haphazard and certainly not by selection. How then?

We have observed that anything that may spring from the One must be different from it. Differing, it is not One, since then it would be the Source. If unity has given place to duality, from that moment there is multiplicity; for here is variety side by side with identity, and this imports quality and all the rest.

We may take it as proved that the emanation of the Transcendent must be a Not-One something other than pure unity, but that it is a multiplicity, and especially that it is such a multiplicity as is exhibited in the sequent universe, this is a statement worthy of deliberation: some further enquiry must be made, also, as to the necessity of any sequel to the First.

(6) The Intellectual Beings, thus, are multiple and one; in virtue of their infinite nature their unity is a multiplicity, many in one and one over many, a unit-plurality. They act as entire upon entire; even upon the partial thing they act as entire; but there is the difference that at first the partial accepts this working only partially though the entire enters later. Thus, when Man enters into human form there exists a particular man who, however, is still Man. From the one thing Man- man in the Idea- material man has come to constitute many individual men: the one identical thing is present in multiplicity, in multi-impression, so to speak, from the one seal.

This does not mean that Man Absolute, or any Absolute, or the Universe in the sense of a Whole, is absorbed by multiplicity; on the contrary, the multiplicity is absorbed by the Absolute, or rather is bound up with it. There is a difference between the mode in which a colour may be absorbed by a substance entire and that in which the soul of the individual is identically present in every part of the body: it is in this latter mode that Being is omnipresent.

(1) It is suggested that multiplicity is a falling away from The Unity, infinity being the complete departure, an innumerable multiplicity, and that this is why unlimit is an evil and we evil at the stage of multiplicity.

A thing, in fact, becomes a manifold when, unable to remain self-centred, it flows outward and by that dissipation takes extension: utterly losing unity it becomes a manifold since there is nothing to bind part to part; when, with all this outflowing, it becomes something definite, there is a magnitude.

But what is there so grievous in magnitude?

Given consciousness, there will be, since the thing must feel its exile, its sundrance from its essence. Everything seeks not the alien but itself; in that outward moving there is frustration or compulsion; a thing most exists not when it takes multiplicity or extension but when it holds to its own being, that is when its movement is inward. Desire towards extension is ignorance of the authentically great, a movement not on the appropriate path but towards the strange; to the possession of the self the way is inward.

Consider the thing that has taken extension; broken into so many independent items, it is now those several parts and not the thing it was; if that original is to persist, the members must stand collected to their total; in other words, a thing is itself not by being extended but by remaining, in its degree, a unity: through expansion and in the measure of the expansion, it is less itself; retaining unity, it retains its essential being.

Yet the universe has at once extension and beauty?

Yes; because it has not been allowed to slip away into the limitless but is held fast by unity; and it has beauty in virtue of Beauty not of Magnitude; it needed Beauty to parry that magnitude; in the degree of its extension it was void of beauty and to that degree ugly. Thus extension serves as Matter to Beauty since what calls for its ordering is a multiplicity. The greater the expansion, the greater the disorder and ugliness.

(10) All of them exist in the single one, as he clothes himself completely and by his single name he is never called. And in this unique way they are equally the single one and the Totalities. He is neither divided as a body, nor is he separated into the names which he has received, (so that) he is one thing in this way and another in another way. Also, neither does he change in [...], nor does he turn into the names which he thinks of, and become now this, now something else, this thing now being one thing and, at another time, something else, but rather he is wholly himself to the uttermost. He is each and every one of the Totalities forever at the same time. He is what all of them are. He brought the Father to the Totalities. He also is the Totalities, for he is the one who is knowledge for himself and he is each one of the properties. He has the powers and he is beyond all that which he knows, while seeing himself in himself completely and having a Son and form. Therefore, his powers and properties are innumerable and inaudible, because of the begetting by which he begets them. Innumerable and indivisible are the begettings of his words, and his commands and his Totalities. He knows them, which things he himself is, since they are in the single name, and are all speaking in it. And he brings (them) forth, in order that it might be discovered that they exist according to their individual properties in a unified way. And he did not reveal the multitude to the Totalities at once nor did he reveal his equality to those who had come forth from him.

(1) [And then] [the] all-[glorious] One, Youel, said to me: "While the [Triple] Male is a self-begotten entity insofar as he is] substantial, the [(Triple Powered One) ...] is [an insubstantiality] [...] [...] [...] [...] [...] [...] [...] [...] ... [...] those who dwell [in association] with the [generation of those] who [truly] exist. The self-begotten ones dwell with the [Triple Male.] If you [seek with] [perfect] seeking, [then] you shall know the [Good that is] in you; then [you shall know yourself], as well, (as) one who [derives from] the God who truly [pre-exists].

(1) "Since your wisdom has become complete and you have known the Good that is within you, hear concerning the Triple-Powered One things you shall guard in great silence and great mystery, because they are not to be spoken to anyone except those who are worthy and able to hear. Nor is it fitting to speak to an uninstructed generation concerning anything higher than perfect. But you have concerning the Triple-Powered One, who exists in Blessedness and Goodness, the cause of everything by virtue of encompassing a vast magnitude even though he is One. [...] [...] [...] [...] [...] ... [...] of [preconception], not as if [through things that exist] within comprehension [and knowledge] and [understanding.

(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.

(12) But why, after all, should it not be such a manifold as long as it remains one substantial existence, having the multiplicity not of a compound being but of a unity with a variety of activities?

Now, no doubt, if these various activities are not themselves substantial existences- but merely manifestations of latent potentiality- there is no compound; but, on the other hand, it remains incomplete until its substantial existence be expressed in act. If its substantial existence consists in its Act, and this Act constitutes multiplicity, then its substantial existence will be strictly proportioned to the extent of the multiplicity.

We allow this to be true for the Intellectual-Principle to which we have allotted self-knowing; but for the first principle of all, never. Before the manifold, there must be The One, that from which the manifold rises: in all numerical series, the unit is the first.

But- we will be answered- for number, well and good, since the suite makes a compound; but in the real beings why must there be a unit from which the multiplicity of entities shall proceed?

Because the multiplicity would consist of disjointed items, each starting at its own distinct place and moving accidentally to serve to a total.

But, they will tell us, the Activities in question do proceed from a unity, from the Intellectual-Principle, a simplex.

By that they admit the existence of a simplex prior to the Activities; and they make the Activities perdurable and class them as substantial existences ; but as Hypostases they will be distinct from their source, which will remain simplex; while its product will in its own nature be manifold and dependent upon it.

Now if these activities arise from some unexplained first activity in that principle, then it too contains the manifold: if, on the contrary, they are the very earliest activities and the source and cause of any multiple product and the means by which that Principle is able, before any activity occurs, to remain self-centred, then they are allocated to the product of which they are the cause; for this principle is one thing, the activities going forth from it are another, since it is not, itself, in act. If this be not so, the first act cannot be the Intellectual-Principle: the One does not provide for the existence of an Intellectual-Principle which thereupon appears; that provision would be something intervening between the One and the Intellectual-Principle, its offspring. There could, in fact, be no such providing in The One, for it was never incomplete; and such provision could name nothing that ought to be provided. It cannot be thought to possess only some part of its content, and not the whole; nor did anything exist to which it could turn in desire. Clearly anything that comes into being after it, arises without shaking to its permanence in its own habit. It is essential to the existence of any new entity that the First remain in self-gathered repose throughout: otherwise, it moved before there was motion and had intellectual act before any intellection- unless, indeed, that first act was incomplete, nothing more than a tendency. And what can we imagine it lights upon to become the object of such a tendency?

The only reasonable explanation of act flowing from it lies in the analogy of light from a sun. The entire intellectual order may be figured as a kind of light with the One in repose at its summit as its King: but this manifestation is not cast out from it: we may think, rather, of the One as a light before the light, an eternal irradiation resting upon the Intellectual Realm; this, not identical with its source, is yet not severed from it nor of so remote a nature as to be less than Real-Being; it is no blind thing, but is seeing and knowing, the primal knower.

The One, as transcending Intellect, transcends knowing: above all need, it is above the need of the knowing which pertains solely to the Secondary Nature. Knowing is a unitary thing, but defined: the first is One, but undefined: a defined One would not be the One-absolute: the absolute is prior to the definite.

(9) If in such a partition of the unity, that which entered into each participant were an entire- always identical with the first- then, in the progressive severance, the firsts would become numerous, each particular becoming a first: and then what prevents these many firsts from reconstituting the collective unity? Certainly not the bodies they have entered, for those firsts cannot be present in the material masses as their Forms if they are to remain identical with the First from which they come. On the other hand, taking the part conceived as present in the multiple to be simply a power , at once such a part ceases to be the unity; we have then to ask how these powers come to be cut off, to have abandoned their origin; they certainly have not moved away with no purpose in their movement.

Again, are those powers, entering the universe of sense, still within the First or not?

If they are not, we have the absurdity that the First has been lessened, disempowered, stripped of power originally possessed. Besides, how could powers thus cut off subsist apart from the foundations of their being? Suppose these powers to be at once within the First and elsewhere; then the universe of sense contains either the entire powers or parts of them; if parts of powers, the other parts are There; if entires, then either the powers There are present here also undivided- and this brings us back to an identity omnipresent in integral identity- or they are each an entire which has taken division into a multiplicity of similars so that attached to every essence there is one power only- that particularly appropriated to it- the other powers remaining powers unattached: yet power apart from Being is as impossible as Being apart from power; for There power is Being or something greater than Being.

Or, again, suppose the powers coming Thence are other than their source- lesser, fainter, as a bright light dwindles to a dim- but each attached to its essence as a power must always be: such secondary powers would be perfectly uniform and at once we are forced to admit the omnipresence of the one same power or at the least the presence- as in one and the same body- of some undivided identity integral at every point.

And if this is the case with a particular body, why not with the entire universe?

If we think of the single power as being endlessly divided, it is no longer a power entire; partition means lessening of power; and, with part of power for part of body, the conditions of consciousness cease.

Further, a vestigial cut off from its source disappears- for example, a reflected light- and in general an emanant loses its quality once it is severed from the original which it reproduces: just so the powers derived from that source must vanish if they do not remain attached to it.

This being so, where these powers appear, their source must be present with them; thus, once more, that source must itself be omnipresent as an undivided whole.

(3) We may be told that nothing prevents an identity being thus multiple. But there must be a unity underlying the aggregate: a manifold is impossible without a unity for its source or ground, or at least, failing some unity, related or unrelated. This unity must be numbered as first before all and can be apprehended only as solitary and self-existent.

When we recognize it, resident among the mass of things, our business is to see it for what it is- present to the items but essentially distinguished from them- and, while not denying it there, to seek this underly of all no longer as it appears in those other things but as it stands in its pure identity by itself. The identity resident in the rest of things is no doubt close to authentic identity but cannot be it; and, if the identity of unity is to be displayed beyond itself, it must also exist within itself alone.

It may be suggested that its existence takes substantial form only by its being resident among outside things: but, at this, it is itself no longer simplex nor could any coherence of manifolds occur. On the one hand things could take substantial existence only if they were in their own virtue simplex. On the other hand, failing a simplex, the aggregate of multiples is itself impossible: for the simplex individual thing could not exist if there were no simplex unity independent of the individual, and, not existing, much less could it enter into composition with any other such: it becomes impossible then for the compound universe, the aggregate of all, to exist; it would be the coming together of things that are not, things not merely lacking an identity of their own but utterly non-existent.

Once there is any manifold, there must be a precedent unity: since any intellection implies multiplicity in the intellective subject, the non-multiple must be without intellection; that non-multiple will be the First: intellection and the Intellectual-Principle must be characteristic of beings coming later.

(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.

(8) The light of our world can be allocated because it springs from a corporeal mass of known position, but conceive an immaterial entity, independent of body as being of earlier nature than all body, a nature firmly self-based or, better, without need of base: such a principle, incorporeal, autonomous, having no source for its rising, coming from no place, attached to no material mass, this cannot be allotted part here and part there: that would be to give it both a previous position and a present attachment. Finally, anything participating in such a principle can participate only as entirety with entirety; there can be no allotment and no partition.

A principle attached to body might be exposed, at least by way of accident, to such partition and so be definable as passive and partible in view of its close relationship with the body of which it is so to speak a state or a Form; but that which is not inbound with body, which on the contrary body must seek, will of necessity go utterly free of every bodily modification and especially of the very possibility of partition which is entirely a phenomenon of body, belonging to its very essence. As partibility goes with body, so impartibility with the bodiless: what partition is possible where there is no magnitude? If a thing of magnitude participates to any degree in what has no magnitude, it must be by a participation without division; divisibility implies magnitude.

When we affirm unity in multiplicity, we do not mean that the unity has become the multiples; we link the variety in the multiples with the unity which we discern, undivided, in them; and the unity must be understood as for ever distinct from them, from separate item and from total; that unity remains true to itself, remains itself, and so long as it remains itself cannot fail within its own scope , yet it is not to be thought of as coextensive with the material universe or with any member of the All; utterly outside of the quantitative, it cannot be coextensive with anything.

Extension is of body; what is not of body, but of the opposed order, must be kept free of extension; but where there is no extension there is no spatial distinction, nothing of the here and there which would end its freedom of presence. Since, then, partition goes with place- each part occupying a place of its own- how can the placeless be parted? The unity must remain self-concentrated, immune from part, however much the multiple aspire or attain to contact with it. This means that any movement towards it is movement towards its entirety, and any participation attained is participation in its entirety. Its participants, then, link with it as with something unparticipated, something never appropriated: thus only can it remain intact within itself and within the multiples in which it is manifested. And if it did not remain thus intact, it would cease to be itself; any participation, then, would not be in the object of quest but in something never quested.

(9) For the One is indivisible; wherefore also it is infinite, not considered with reference to inscrutability, but with reference to its being without dimensions, and not having a limit. And therefore it is without form and name.

(5) Often for the purpose of exposition- as a help towards stating the nature of the produced multiplicity- we use the example of many lines radiating from one centre; but, while we provide for individualization, we must carefully preserve mutual presence. Even in the case of our circle we need not think of separated radii; all may be taken as forming one surface: where there is no distinction even upon the one surface but all is power and reality undifferentiated, all the beings may be thought of as centres uniting at one central centre: we ignore the radial lines and think of their terminals at that centre, where they are at one. Restore the radii; once more we have lines, each touching a generating centre of its own, but that centre remains coincident with the one first centre; the centres all unite in that first centre and yet remain what they were, so that they are as many as are the lines to which they serve as terminals; the centres themselves appear as numerous as the lines starting from gem and yet all those centres constitute a unity.

Thus we may liken the Intellectual Beings in their diversity to many centres coinciding with the one centre and themselves at one in it but appearing multiple on account of the radial lines- lines which do not generate the centres but merely lead to them. The radii, thus, afford a serviceable illustration for the mode of contact by which the Intellectual Unity manifests itself as multiple and multipresent.

(1) [...] [...] [...] [...] [...] [...] since they are [perfect Individuals. And they are] all [unified, in harmony]. The [Mind], the guardian [I provided] [for you] taught you. And it is the power that [exists] in you that [extended] [itself], since [it (you?)] often [rejoiced] in the Triple Powered One who [belongs to] all [those] who [truly] exist with the [immeasurable] one.

(1) The One is all things and no one of them; the source of all things is not all things; all things are its possession- running back, so to speak, to it- or, more correctly, not yet so, they will be.

But a universe from an unbroken unity, in which there appears no diversity, not even duality?

It is precisely because that is nothing within the One that all things are from it: in order that Being may be brought about, the source must be no Being but Being's generator, in what is to be thought of as the primal act of generation. Seeking nothing, possessing nothing, lacking nothing, the One is perfect and, in our metaphor, has overflowed, and its exuberance has produced the new: this product has turned again to its begetter and been filled and has become its contemplator and so an Intellectual-Principle.

That station towards the one establishes Being; that vision directed upon the One establishes the Intellectual-Principle; standing towards the One to the end of vision, it is simultaneously Intellectual-Principle and Being; and, attaining resemblance in virtue of this vision, it repeats the act of the One in pouring forth a vast power.

This second outflow is a Form or Idea representing the Divine Intellect as the Divine Intellect represented its own prior, The One.

This active power sprung from essence is Soul.

Soul arises as the idea and act of the motionless Intellectual-Principle- which itself sprang from its own motionless prior- but the soul's operation is not similarly motionless; its image is generated from its movement. It takes fulness by looking to its source; but it generates its image by adopting another, a downward, movement.

This image of Soul is Sense and Nature, the vegetal principle.

Nothing, however, is completely severed from its prior. Thus the human Soul appears to reach away as far down as to the vegetal order: in some sense it does, since the life of growing things is within its province; but it is not present entire; when it has reached the vegetal order it is there in the sense that having moved thus far downwards it produces- by its outgoing and its tendency towards the less good- another hypostasis or form of being just as its prior (the loftier phase of the Soul) is produced from the Intellectual-Principle which yet remains in untroubled self-possession.

(16) But here we may be questioned about these numbers which we describe as the primal and authentic:

"Where do you place these numbers, in what genus among Beings? To everyone they seem to come under Quantity and you have certainly brought Quantity in, where you say that discrete Quantity equally with the continuous holds place among Beings; but you go on to say that there are the numbers belonging to the Firsts and then talk of other numbers quite distinct, those of reckoning; tell us how you arrange all this, for there is difficulty here. And then, the unity in sense-things- is that a quantity or is quantity here just so many units brought together, the unity being the starting-point of quantity but not quantity itself? And, if the starting-point, is it a kindred thing or of another genus? All this you owe it to us to make clear."

Be it so; we begin by pointing out a distinction:

You take one thing with another- for we must first deal with objects of sense- a dog and a man, or two men; or you take a group and affirm ten, a decad of men: in this case the number affirmed is not a Reality, even as Reality goes in the sphere of sense, but is purely Quantity: similarly when you resolve into units, breaking up the decad, those units are your principle of Quantity since the single individual is not a unity absolute.

But the case is different when you consider one man in himself and affirm a certain number, duality, for example, in that he is at once living and reasoning.

By this analysis and totalling, you get quantity; but there are two objects under consideration and each of these is one; each of the unities contributes to the complete being and the oneness is inherent in each; this is another kind of number; number essential; even the duality so formed is no posterior; it does not signify a quantity apart from the thing but the quantity in the essence which holds the thing together. The number here is no mere result of your detailing; the things exist of themselves and are not brought together by your reckoning, but what has it to do with essential reality that you count one man in with another? There is here no resultant unity such as that of a choir- the decad is real only to you who count the ten; in the ten of your reckoning there cannot be a decad without a unitary basis; it is you that make the ten by your counting, by fixing that tenness down to quantity; in choir and army there is something more than that, something not of your placing.

But how do you come to have a number to place?

The Number inherent apart from any enumeration has its own manner of being, but the other, that resulting upon the appearance of an external to be appraised by the Number within yourself, is either an Act of these inherent numbers or an Act in accordance with them; in counting we produce number and so bring quantity into being just as in walking we bring a certain movement into being.

But what of that "Number within us having its own manner of being"?

It is the Number of our essence. "Our essence" we read "partakes of Number and harmony and, also, is Number and harmony." "Neither body nor magnitude," someone says: soul, then, is Number since it is essence. The number belonging to body is an essence of the order of body; the number belonging to soul constitutes the essences of souls.

In the Intellectuals, all, if the Absolute Living-Form, there is a multiple- a triad, let us say- that Triad of the Living-Form is of the nature of essence: and the Triad prior to any living thing, Triad in the realm of Being, is a principle of essence.

When you enumerate two things- say, animal and beauty- each of these remains one thing; the number is your production; it lay within yourself; it is you that elaborate quantity, here the dyad. But when you declare virtue to be a Tetrad, you are affirming a Tetrad which does actually exist; the parts, so to speak, make one thing; you are taking as the object of your act a Unity- Tetrad to which you accommodate the Tetrad within yourself.

(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.

(14) To the argument touching relation we have an answer surely legitimate:

The Unity is not of a nature to lose its own manner of being only because something else stands in a state which it does not itself share; to stray from its unity it must itself suffer division into duality or the still wider plurality.

If by division the one identical mass can become a duality without loss of quantity, clearly the unity it possessed and by this destructive division lost was something distinct. What may be alternatively present and absent to the same subject must be classed among Real-Beings, regardless of position; an accidental elsewhere, it must have reality in itself whether it be manifested in things of sense or in the Intellectual- an accidental in the Laters but self-existent in the higher, especially in the First in its aspect of Unity developing into Being. We may be told that Unity may lose that character without change in itself, becoming duality by association with something else; but this is not true; unity does not become two things; neither the added nor what takes the addition becomes two; each remains the one thing it was; the duality is predicable of the group only, the unity remaining unchanged in each of those unchanged constituents.

Two and the Dyad are not essentially relative: if the only condition to the construction of duality were meeting and association such a relation might perhaps constitute Twoness and Duality; but in fact we see Duality produced by the very opposite process, by the splitting apart of a unity. This shows that duality- or any other such numerical form- is no relation produced either by scission or association. If one configuration produces a certain thing it is impossible that the opposite should produce the same so that the thing may be identified with the relation.

What then is the actual cause?

Unity is due to the presence of Unity; duality to that of Duality; it is precisely as things are white by Whiteness, just by Justice, beautiful by Beauty. Otherwise we must reject these universals and call in relation here also: justice would arise from a certain attitude in a given situation, Beauty from a certain pattern of the person with nothing present able to produce the beauty, nothing coming from without to effect that agreeable appearance.

You see something which you pronounce to be a unity; that thing possesses also size, form, and a host of other characteristics you might name; size, bulk, sweetness, bitterness and other Ideas are actually present in the thing; it surely cannot be thought that, while every conceivable quality has Real-Being, quantity has not and that while continuous quantity exists, discrete quantity does not and this though continuous quantity is measured by the discrete. No: as size by the presence of Magnitude, and Oneness by the presence of Unity, so with Duality and all the other numerical modes.

As to the How of participation, the enquiry is that of all participation in Ideal Forms; we must note, however, that the presence of the Decad in the looser totals is different from its presence in the continuous; there is difference again in its presence within many powers where multiplicity is concentred in unity; arrived at the Intellectuals, there too we discover Number, the Authentic Number, no longer entering the alien, Decad-Absolute not Decad of some particular Intellectual group.