(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.

(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.

(1) There is a principle having intellection of the external and another having self-intellection and thus further removed from duality.

Even the first mentioned is not without an effort towards the pure unity of which it is not so capable: it does actually contain its object, though as something other than itself.

In the self-intellective, there is not even this distinction of being: self-conversing, the subject is its own object, and thus takes the double form while remaining essentially a unity. The intellection is the more profound for this internal possession of the object.

This principle is the primally intellective since there can be no intellection without duality in unity. If there is no unity, perceiving principle and perceived object will be different, and the intellection, therefore, not primal: a principle concerned with something external cannot be the primally intellective since it does not possess the object as integrally its own or as itself; if it does possess the object as itself- the condition of true intellection- the two are one. Thus there must be a unity in duality, while a pure unity with no counterbalancing duality can have no object for its intellection and ceases to be intellective: in other words the primally intellective must be at once simplex and something else.

But the surest way of realizing that its nature demands this combination of unity and duality is to proceed upwards from the Soul, where the distinction can be made more dearly since the duality is exhibited more obviously.

We can imagine the Soul as a double light, a lesser corresponding to the soul proper, a purer representing its intellective phase; if now we suppose this intellective light equal to the light which is to be its object, we no longer distinguish between them; the two are recognised as one: we know, indeed, that there are two, but as we see them they have become one: this gives us the relation between the intellective subject and the object of intellection : in our thought we have made the two into one; but on the other hand the one thing has become two, making itself into a duality at the moment of intellection, or, to be more exact, being dual by the fact of intellection and single by the fact that its intellectual object is itself.

(7) So likewise this Intelligence diffuses Its virtue multiplied among the stars. Itself revolving on its unity. Virtue diverse doth a diverse alloyage Make with the precious body that it quickens, In which, as life in you, it is combined. From the glad nature whence it is derived, The mingled virtue through the body shines, Even as gladness through the living pupil. From this proceeds whate'er from light to light Appeareth different, not from dense and rare: This is the formal principle that produces, According to its goodness, dark and bright."

(17) But what of the Infinite Number we hear of; does not all this reasoning set it under limit?

And rightly so if the thing is to be a number; limitlessness and number are in contradiction.

How, then, do we come to use the term? Is it that we think of Number as we think of an infinite line, not with the idea that any such lire exists but that even the very greatest- that of the universe, for example- may be thought of as still greater? So it might be with number; let it be fixed, yet we still are free to think of its double, though not of course to produce the doubled quantity since it is impossible to join to the actual what is no more than a conception, a phantasm, private to ourselves.

It is our view that there does exist an infinite line, among the Intellectual Beings: for There a line would not be quantitative and being without quantity could be numerically infinite. This however would be in another mode than that of limitless extension. In what mode then? In that the conception of the Absolute Line does not include the conception of limit.

But what sort of thing is the Line in the Intellectual and what place does it hold?

It is later than Number since unity is observed in it; it rises at one point and traverses one course and simply lacks the quantity that would be the measure of the distance.

But where does this thing lie? Is it existent only in the defining thought, so to speak?

No; it is also a thing, though a thing of the Intellectual. All that belongs to that order is at once an Intellectual and in some degree the concrete thing. There is a position, as well as a manner of being, for all configurations, for surface, for solid. And certainly the configurations are not of our devising; for example, the configurations of the universe are obviously antecedent to ourselves; so it must be with all the configurations of the things of nature; before the bodily reproductions all must exist There, without configuration, primal configurations. For these primals are not shapes in something; self-belonging, they are perfect without extension; only the extended needs the external. In the sphere of Real-Being the configuration is always a unity; it becomes discrete either in the Living-Form or immediately before: I say "becomes discrete" not in the sense that it takes magnitude There but that it is broken apart for the purpose of the Living-Form and is allotted to the bodies within that Form- for instance, to Fire There, the Intellectual Pyramid. And because the Ideal-Form is There, the fire of this sphere seeks to produce that configuration against the check of Matter: and so of all the rest as we read in the account of the realm of sense.

But does the Life-Form contain the configurations by the mere fact of its life?

They are in the Intellectual-Principle previously but they also exist in the Living-Form; if this be considered as including the Intellectual-Principle, then they are primally in the Life-Form, but if that Principle comes first then they are previously in that. And if the Life-Form entire contains also souls, it must certainly be subsequent to the Intellectual-Principle.

No doubt there is the passage "Whatever Intellect sees in the entire Life-Form"; thus seeing, must not the Intellectual-Principle be the later?

No; the seeing may imply merely that the reality comes into being by the fact of that seeing; the Intellectual-Principle is not external to the Life-Form; all is one; the Act of the Intellectual-Principle possesses itself of bare sphere, while the Life-Form holds the sphere as sphere of a living total.

(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.

(6) We take it, then, that the Intellectual-Principle is the authentic existences and contains them all- not as in a place but as possessing itself and being one thing with this its content. All are one there and yet are distinct: similarly the mind holds many branches and items of knowledge simultaneously, yet none of them merged into any other, each acting its own part at call quite independently, every conception coming out from the inner total and working singly. It is after this way, though in a closer unity, that the Intellectual-Principle is all Being in one total- and yet not in one, since each of these beings is a distinct power which, however, the total Intellectual-Principle includes as the species in a genus, as the parts in a whole. This relation may be illustrated by the powers in seed; all lies undistinguished in the unit, the formative ideas gathered as in one kernel; yet in that unit there is eye-principle, and there is hand-principle, each of which is revealed as a separate power by its distinct material product. Thus each of the powers in the seed is a Reason-Principle one and complete yet including all the parts over which it presides: there will be something bodily, the liquid, for example, carrying mere Matter; but the principle itself is Idea and nothing else, idea identical with the generative idea belonging to the lower soul, image of a higher. This power is sometimes designated as Nature in the seed-life; its origin is in the divine; and, outgoing from its priors as light from fire, it converts and shapes the matter of things, not by push and pull and the lever work of which we hear so much, but by bestowal of the Ideas.

(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.

(15) We must repeat: The Collective Being, the Authentic, There, is at once Being and Intellectual-Principle and the Complete Living Form; thus it includes the total of living things; the Unity There is reproduced by the unity of this living universe in the degree possible to it- for the sense-nature as such cannot compass that transcendental unity- thus that Living-All is inevitably Number-Entire: if the Number were not complete, the All would be deficient to the extent of some number, and if every number applicable to living things were not contained in it, it would not be the all-comprehending Life-Form. Therefore, Number exists before every living thing, before the collective Life-Form.

Again: Man exists in the Intellectual and with him all other living things, both by possession of Real-Being and because that is the Life-Form Complete. Even the man of this sphere is a member of the Intellectual since that is the Life-Form Complete; every living thing by virtue of having life, is There, There in the Life-form, and man is There also, in the Intellectual, in so far as he is intellect, for all intelligences are severally members of That. Now all this means Number There. Yet even in Intellect Number is not present primally; its presence There is the reckoning of the Acts of Intellectual-Principle; it tallies with the justice in Intellectual-Principle, its moral wisdom, its virtues, its knowledge, all whose possession makes That Principle what it is.

But knowledge- must not this imply presence to the alien? No; knowledge, known and knower are an identity; so with all the rest; every member of Intellectual-Principle is therefore present to it primally; justice, for example, is not accidental to it as to soul in its character as soul, where these virtues are mainly potential becoming actual by the intention towards Intellectual-Principle and association with it.

Next we come to Being, fully realized, and this is the seat of Number; by Number, Being brings forth the Beings; its movement is planned to Number; it establishes the numbers of its offspring before bringing them to be, in the same way as it establishes its own unity by linking pure Being to the First: the numbers do not link the lower to the First; it suffices that Being is so linked; for Being, in taking form as Number, binds its members to itself. As a unity, it suffers no division, remaining self-constant; as a thing of division, containing its chosen total of members, it knows that total and so brings forth Number, a phase therefore of its content: its development of part is ruled by the powers of Number, and the Beings it produces sum to that Number. Thus Number, the primal and true, is Principle and source of actuality to the Beings.

Hence it is that in our sphere, also, Number accompanies the coming to be of particular things and to suppose another number than the actual is to suppose the production of something else or of nothing.

These then are the primal numbers; they are numerable; the numbers of the other order are of a double character; as derived from the first numbers they are themselves numerable but as acting for those first they are measures of the rest of things, numbering numbers and numerables. For how could they declare a Decad save in the light of numbers within themselves?

(8) As then there is a Life-Form primal- which therefore is the Life-Form Absolute- and there is Intellectual-Principle or Being, Authentic Being, these, we affirm, contain all living things and all Number, and Absolute Justice and Beauty and all of that order; for we ascribe an existence of their own to Absolute Man, Absolute Number, Absolute Justice. It remains to discover, in so far as such knowledge is possible, how these distinct entities come to be and what is the manner of their being.

At the outset we must lay aside all sense-perception; by Intellectual-Principle we know Intellectual-Principle. We reflect within ourselves there is life, there is intellect, not in extension but as power without magnitude, issue of Authentic Being which is power self-existing, no vacuity but a thing most living and intellective- nothing more living, more intelligent, more real- and producing its effect by contact and in the ratio of the contact, closely to the close, more remotely to the remote. If Being is to be sought, then most be sought is Being at its intensest; so too the intensest of Intellect if the Intellectual act has worth; and so, too, of Life.

First, then, we take Being as first in order; then Intellectual-Principle; then the Living-Form considered as containing all things: Intellectual-Principle, as the Act of Real Being, is a second.

Thus it is clear that Number cannot be dependent upon the Living-Form since unity and duality existed before that; nor does it rise in the Intellectual-Principle since before that there existed Real Being which is both one and numerous.

(4) Another consideration is that if The Good is simplex and without need, it can neither need the intellective act nor possess what it does not need: it will therefore not have intellection. (Interpolation or corruption: It is without intellection because, also, it contains no duality.)

Again; an Intellectual-Principle is distinct from The Good and takes a certain goodness only by its intellection of The Good.

Yet again: In any dual object there is the unity side by side with the rest of the thing; an associated member cannot be the unity of the two and there must be a self-standing unity before this unity of members can exist: by the same reasoning there must be also the supreme unity entering into no association whatever, something which is unity-simplex by its very being, utterly devoid of all that belongs to the thing capable of association.

How could anything be present in anything else unless in virtue of a source existing independently of association? The simplex requires no derivation; but any manifold, or any dual, must be dependent.

We may use the figure of, first, light; then, following it, the sun; as a third, the orb of the moon taking its light from the sun: Soul carries the Intellectual-Principle as something imparted and lending the light which makes it essentially intellective; Intellectual-Principle carries the light as its own though it is not purely the light but is the being into whose very essence the light has been received; highest is That which, giving forth the light to its sequent, is no other than the pure light itself by whose power the Intellectual-Principle takes character.

How can this highest have need of any other? It is not to be identified with any of the things that enter into association; the self-standing is of a very different order.

(46) By Intellect he containeth the Intelligibles, and introduceth Sense into the Worlds.

(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) Thus the Intellectual-Principle, in the act of knowing the Transcendent, is a manifold. It knows the Transcendent in very essence but, with all its effort to grasp that prior as a pure unity, it goes forth amassing successive impressions, so that, to it, the object becomes multiple: thus in its outgoing to its object it is not Intellectual-Principle; it is an eye that has not yet seen; in its return it is an eye possessed of the multiplicity which it has itself conferred: it sought something of which it found the vague presentment within itself; it returned with something else, the manifold quality with which it has of its own act invested the simplex.

If it had not possessed a previous impression of the Transcendent, it could never have grasped it, but this impression, originally of unity, becomes an impression of multiplicity; and the Intellectual-Principle, in taking cognisance of that multiplicity, knows the Transcendent and so is realized as an eye possessed of its vision.

It is now Intellectual-Principle since it actually holds its object, and holds it by the act of intellection: before, it was no more than a tendance, an eye blank of impression: it was in motion towards the transcendental; now that it has attained, it has become Intellectual-Principle henceforth absorbed; in virtue of this intellection it holds the character of Intellectual-Principle, of Essential Existence and of Intellectual Act where, previously, not possessing the Intellectual Object, it was not Intellectual Perception, and, not yet having exercised the Intellectual Act, it was not Intellectual-Principle.

The Principle before all these principles is no doubt the first principle of the universe, but not as immanent: immanence is not for primal sources but for engendering secondaries; that which stands as primal source of everything is not a thing but is distinct from all things: it is not, then, a member of the total but earlier than all, earlier, thus, than the Intellectual-Principle- which in fact envelops the entire train of things.

Thus we come, once more, to a Being above the Intellectual-Principle and, since the sequent amounts to no less than the All, we recognise, again, a Being above the All. This assuredly cannot be one of the things to which it is prior. We may not call it "Intellect"; therefore, too, we may not call it "the Good," if "the Good" is to be taken in the sense of some one member of the universe; if we mean that which precedes the universe of things, the name may be allowed.

The Intellectual-Principle is established in multiplicity; its intellection, self-sprung though it be, is in the nature of something added to it and makes it multiple: the utterly simplex, and therefore first of all beings, must, then, transcend the Intellectual-Principle; and, obviously, if this had intellection it would no longer transcend the Intellectual-Principle but be it, and at once be a multiple.

(1) We have seen elsewhere that the Good, the Principle, is simplex, and, correspondingly, primal- for the secondary can never be simplex- that it contains nothing: that it is an integral Unity.

Now the same Nature belongs to the Principle we know as The One. just as the goodness of The Good is essential and not the outgrowth of some prior substance so the Unity of The One is its essential.

Therefore:

When we speak of The One and when we speak of The Good we must recognize an Identical Nature; we must affirm that they are the same- not, it is true, as venturing any predication with regard to that Hypostasis but simply as indicating it to ourselves in the best terms we find.

Even in calling it "The First" we mean no more than to express that it is the most absolutely simplex: it is the Self-Sufficing only in the sense that it is not of that compound nature which would make it dependent upon any constituent; it is "the Self-Contained" because everything contained in something alien must also exist by that alien.

Deriving, then, from nothing alien, entering into nothing alien, in no way a made-up thing, there can be nothing above it.

We need not, then, go seeking any other Principles; this- the One and the Good- is our First; next to it follows the Intellectual Principle, the Primal Thinker; and upon this follows Soul. Such is the order in nature. The Intellectual Realm allows no more than these and no fewer.

Those who hold to fewer Principles must hold the identity of either Intellectual-Principle and Soul or of Intellectual-Principle and The First; but we have abundantly shown that these are distinct.

It remains for us to consider whether there are more than these Three.

Now what other Kinds could there be? No Principles of the universe could be found at once simpler and more transcendent than this whose existence we have affirmed and described.

They will scarcely urge upon us the doubling of the Principle in Act by a Principle in Potentiality. It is absurd to seek such a plurality by distinguishing between potentiality and actuality in the case of immaterial beings whose existence is in Act- even in lower forms no such division can be made and we cannot conceive a duality in the Intellectual-Principle, one phase in some vague calm, another all astir. Under what form can we think of repose in the Intellectual Principle as contrasted with its movement or utterance? What would the quiescence of the one phase be as against the energy of the others?

No: the Intellectual-Principle is continuously itself, unchangeably constituted in stable Act. With movement- towards it or within it- we are in the realm of the Soul's operation: such act is a Reason-Principle emanating from it and entering into Soul, thus made an Intellectual Soul, but in no sense creating an intermediate Principle to stand between the two.

Nor are we warranted in affirming a plurality of Intellectual Principles on the ground that there is one that knows and thinks and another knowing that it knows and thinks. For whatever distinction be possible in the Divine between its Intellectual Act and its Consciousness of that Act, still all must be one projection not unaware of its own operation: it would be absurd to imagine any such unconsciousness in the Authentic Intelligence; the knowing principle must be one and the selfsame with that which knows of the knowing.

The contrary supposition would give us two beings, one that merely knows, and another separate being that knows of the act of knowing.

If we are answered that the distinction is merely a process of our thought, then, at once, the theory of a plurality in the Divine Hypostasis is abandoned: further, the question is opened whether our thought can entertain a knowing principle so narrowed to its knowing as not to know that it knows- a limitation which would be charged as imbecility even in ourselves, who if but of very ordinary moral force are always master of our emotions and mental processes.

No: The Divine Mind in its mentation thinks itself; the object of the thought is nothing external: Thinker and Thought are one; therefore in its thinking and knowing it possesses itself, observes itself and sees itself not as something unconscious but as knowing: in this Primal Knowing it must include, as one and the same Act, the knowledge of the knowing; and even the logical distinction mentioned above cannot be made in the case of the Divine; the very eternity of its self-thinking precludes any such separation between that intellective act and the consciousness of the act.

The absurdity becomes still more blatant if we introduce yet a further distinction- after that which affirms the knowledge of the knowing, a third distinction affirming the knowing of the knowledge of the knowing: yet there is no reason against carrying on the division for ever and ever.

To increase the Primals by making the Supreme Mind engender the Reason-Principle, and this again engender in the Soul a distinct power to act as mediator between Soul and the Supreme Mind, this is to deny intellection to the Soul, which would no longer derive its Reason from the Intellectual-Principle but from an intermediate: the Soul then would possess not the Reason-Principle but an image of it: the Soul could not know the Intellectual-Principle; it could have no intellection.

(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.

(12) Enough upon that side of the question. But how does the perfection of numbers, lifeless things, depend upon their particular unity? Just as all other inanimates find their perfection in their unity.

If it should be objected that numbers are simply non-existent, we should point out that our discussion is concerned with beings considered from the aspect of their unity.

We may again be asked how the point- supposing its independent existence granted- participates in perfection. If the point is chosen as an inanimate object, the question applies to all such objects: but perfection does exist in such things, for example in a circle: the perfection of the circle will be perfection for the point; it will aspire to this perfection and strive to attain it, as far as it can, through the circle.

But how are the five genera to be regarded? Do they form particulars by being broken up into parts? No; the genus exists as a whole in each of the things whose genus it is.

But how, at that, can it remain a unity? The unity of a genus must be considered as a whole-in-many.

Does it exist then only in the things participating in it? No; it has an independent existence of its own as well. But this will, no doubt, become clearer as we proceed.

(21) How then does the universal Intellect produce the particulars while, in virtue of its Reason-Principle, remaining a unity? In other words, how do the various grades of Being, as we call them, arise from the four primaries? Here is this great, this infinite Intellect, not given to idle utterance but to sheer intellection, all-embracing, integral, no part, no individual: how, we ask, can it possibly be the source of all this plurality?

Number at all events it possesses in the objects of its contemplation: it is thus one and many, and the many are powers, wonderful powers, not weak but, being pure, supremely great and, so to speak, full to overflowing powers in very truth, knowing no limit, so that they are infinite, infinity, Magnitude-Absolute.

As we survey this Magnitude with the beauty of Being within it and the glory and light around it, all contained in Intellect, we see, simultaneously, Quality already in bloom, and along with the continuity of its Act we catch a glimpse of Magnitude at Rest. Then, with one, two and three in Intellect, Magnitude appears as of three dimensions, with Quantity entire. Quantity thus given and Quality, both merging into one and, we may almost say, becoming one, there is at once shape. Difference slips in to divide both Quantity and Quality, and so we have variations in shape and differences of Quality. Identity, coming in with Difference, creates equality, Difference meanwhile introducing into Quantity inequality, whether in number or in magnitude: thus are produced circles and squares, and irregular figures, with number like and unlike, odd and even.

The life of Intellect is intelligent, and its activity has no failing-point: hence it excludes none of the constituents we have discovered within it, each one of which we now see as an intellectual function, and all of them possessed by virtue of its distinctive power and in the mode appropriate to Intellect.

But though Intellect possesses them all by way of thought, this is not discursive thought: nothing it lacks that is capable of serving as Reason-Principle, while it may itself be regarded as one great and perfect Reason-Principle, holding all the Principles as one and proceeding from its own Primaries, or rather having eternally proceeded, so that "proceeding" is never true of it. It is a universal rule that whatever reasoning discovers to exist in Nature is to be found in Intellect apart from all ratiocination: we conclude that Being has so created Intellect that its reasoning is after a mode similar to that of the Principles which produce living beings; for the Reason-Principles, prior to reasoning though they are, act invariably in the manner which the most careful reasoning would adopt in order to attain the best results.

What conditions, then, are we to think of as existing in that realm which is prior to Nature and transcends the Principles of Nature? In a sphere in which Substance is not distinct from Intellect, and neither Being nor Intellect is of alien origin, it is obvious that Being is best served by the domination of Intellect, so that Being is what Intellect wills and is: thus alone can it be authentic and primary Being; for if Being is to be in any sense derived, its derivation must be from Intellect.

Being, thus, exhibits every shape and every quality; it is not seen as a thing determined by some one particular quality; there could not be one only, since the principle of Difference is there; and since Identity is equally there, it must be simultaneously one and many. And so Being is; such it always was: unity-with-plurality appears in all its species, as witness all the variations of magnitude, shape and quality. Clearly nothing may legitimately be excluded , for the whole must be complete in the higher sphere which, otherwise, would not be the whole.

Life, too, burst upon Being, or rather was inseparably bound up with it; and thus it was that all living things of necessity came to be. Body too was there, since Matter and Quality were present.

Everything exists forever, unfailing, involved by very existence in eternity. Individuals have their separate entities, but are at one in the unity. The complex, so to speak, of them all, thus combined, is Intellect; and Intellect, holding all existence within itself, is a complete living being, and the essential Idea of Living Being. In so far as Intellect submits to contemplation by its derivative, becoming an Intelligible, it gives that derivative the right also to be called "living being."

(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.

(6) In what sense, then, do we assert this Unity, and how is it to be adjusted to our mental processes?

Its oneness must not be entitled to that of monad and point: for these the mind abstracts extension and numerical quantity and rests upon the very minutest possible, ending no doubt in the partless but still in something that began as a partible and is always lodged in something other than itself. The Unity was never in any other and never belonged to the partible: nor is its impartibility that of extreme minuteness; on the contrary it is great beyond anything, great not in extension but in power, sizeless by its very greatness as even its immediate sequents are impartible not in mass but in might. We must therefore take the Unity as infinite not in measureless extension or numerable quantity but in fathomless depths of power.

Think of The One as Mind or as God, you think too meanly; use all the resources of understanding to conceive this Unity and, again, it is more authentically one than God, even though you reach for God's unity beyond the unity the most perfect you can conceive. For This is utterly a self-existent, with no concomitant whatever. This self-sufficing is the essence of its unity. Something there must be supremely adequate, autonomous, all-transcending, most utterly without need.

Any manifold, anything beneath The Unity, is dependent; combined from various constituents, its essential nature goes in need of unity; but unity cannot need itself; it stands unity accomplished. Again, a manifold depends upon all its factors; and furthermore each of those factors in turn- as necessarily inbound with the rest and not self-standing- sets up a similar need both to its associates and to the total so constituted.

The sovranly self-sufficing principle will be Unity-Absolute, for only in this Unity is there a nature above all need, whether within itself or in regard to the rest of things. Unity seeks nothing towards its being or its well-being or its safehold upon existence; cause to all, how can it acquire its character outside of itself or know any good outside? The good of its being can be no borrowing: This is The Good. Nor has it station; it needs no standing ground as if inadequate to its own sustaining; what calls for such underpropping is the soulless, some material mass that must be based or fall. This is base to all, cause of universal existence and of ordered station. All that demands place is in need; a First cannot go in need of its sequents: all need is effort towards a first principle; the First, principle to all, must be utterly without need. If the Unity be seeking, it must inevitably be seeking to be something other than itself; it is seeking its own destroyer. Whatever may be said to be in need of a good is needing a preserver; nothing can be a good to The Unity, therefore.

Neither can it have will to anything; it is a Beyond-Good, not even to itself a good but to such beings only as may be of quality to have part with it. Nor has it Intellection; that would comport diversity: nor Movement; it is prior to Movement as to Intellection.

To what could its Intellection be directed? To itself? But that would imply a previous ignorance; it would be dependent upon that Intellection in order to knowledge of itself; but it is the self-sufficing. Yet this absence of self-knowing does not comport ignorance; ignorance is of something outside- a knower ignorant of a knowable- but in the Solitary there is neither knowing nor anything unknown. Unity, self-present, it has no need of self-intellection: indeed this "self-presence" were better left out, the more surely to preserve the unity; we must eliminate all knowing and all association, all intellection whether internal or external. It is not to be though of as having but as being Intellection; Intellection does not itself perform the intellective act but is the cause of the act in something else, and cause is not to be identified with caused: most assuredly the cause of all is not a thing within that all.

This Principle is not, therefore, to be identified with the good of which it is the source; it is good in the unique mode of being The Good above all that is good.