(2) What, then, of the "Number of the Infinite"?

To begin with, how is Number consistent with infinity?

Objects of sense are not unlimited and therefore the Number applying to them cannot be so. Nor is an enumerator able to number to infinity; though we double, multiply over and over again, we still end with a finite number; though we range over past and future, and consider them, even, as a totality, we still end with the finite.

Are we then to dismiss absolute limitlessness and think merely that there is always something beyond?

No; that more is not in the reckoner's power to produce; the total stands already defined.

In the Intellectual the Beings are determined and with them Number, the number corresponding to their total; in this sphere of our own- as we make a man a multiple by counting up his various characteristics, his beauty and the rest- we take each image of Being and form a corresponding image of number; we multiply a non-existent in and so produce multiple numbers; if we number years we draw on the numbers in our own minds and apply them to the years; these numbers are still our possession.

(36) The Universe is immensely varied, the container of all the Reason-Principles and of infinite and diverse efficacies. In man, we are told, the eye has its power, and the bones have their varied powers, and so with each separate part of hand and of foot; and there is no member or organ without its own definite function, some separate power of its own- a diversity of which we can have no notion unless our studies take that direction. What is true of man must be true of the universe, and much more, since all this order is but a representation of the higher: it must contain an untellably wonderful variety of powers, with which, of course, the bodies moving through the heavens will be most richly endowed.

We cannot think of the universe as a soulless habitation, however vast and varied, a thing of materials easily told off, kind by kind- wood and stone and whatever else there be, all blending into a kosmos: it must be alert throughout, every member living by its own life, nothing that can have existence failing to exist within it.

And here we have the solution of the problem, "How an ensouled living form can include the soulless": for this account allows grades of living within the whole, grades to some of which we deny life only because they are not perceptibly self-moved: in the truth, all of these have a hidden life; and the thing whose life is patent to sense is made up of things which do not live to sense, but, none the less, confer upon their resultant total wonderful powers towards living. Man would never have reached to his actual height if the powers by which he acts were the completely soulless elements of his being; similarly the All could not have its huge life unless its every member had a life of its own; this however does not necessarily imply a deliberate intention; the All has no need of intention to bring about its acts: it is older than intention, and therefore its powers have many servitors.

(4) From two letters, or forms He composed two dwellings; from three, six; from four, twenty-four; from five, one hundred and twenty; from six, seven hundred and twenty; from seven, five thousand and forty; and from thence their numbers increase in a manner beyond counting; and are incomprehensible. These seven are Planets of the Universe, the Sun, Venus, Mercury, Moon, Saturn, Jupiter, and Mars; the seven days are the days of creation; and these an the seven gateways of a man, two eyes, two ears, two nostrils and a mouth, through which he perceives by his senses.

(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.

(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.

(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.

(5) The student will, of course, realize that the illustrations given above are necessarily imperfect and inadequate, for they represent the creation of mental images in finite minds, while the Universe is a creation of Infinite Mind--and the difference between the two poles separates them. And yet it is merely a matter of degree--the same Principle is in operation--the Principle of Correspondence manifests in each--"As above, so Below; as Below, so above."

(5) For He indeed showed the mode of combination of the letters, each with each, Aleph with all, and all with Aleph. Thus in combining all together in pairs are produced these two hundred and thirty-one gates of knowledge. And from Nothingness did He make something, and all forms of speech and every created thing, and from the empty void He made the solid earth, and from the non-existent He brought forth Life.

(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.

(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.

(15) Whereas in all the rest of composed bodies, of each there is a certain number; for without number structure cannot be, or composition, or decomposition. Now it is units that give birth to number and increase it, and, being decomposed, are taken back again into themselves. Matter is one; and this whole Cosmos - the mighty God and image of the mightier One, both with Him unified, and the conserver of the Will and Order of the Father - is filled full of Life. Naught is there in it throughout the whole of Aeon, the Father's [everlasting] Re-establishment - nor of the whole, nor of the parts - which doth not live. For not a single thing that's dead, hath been, or is, or shall be in [this] Cosmos. For that the Father willed it should have Life as long as it should be. Wherefore it needs must be a God.

(3) And there is the question How can the infinite have existence and remain unlimited: whatever is in actual existence is by that very fact determined numerically.

But, first, if multiplicity holds a true place among Beings, how can it be an evil?

As existent it possesses unity; it is a unit-multiple, saved from stark multiplicity; but it is of a lessened unity and, by that inwoven multiplicity, it is evil in comparison with unity pure. No longer steadfast in that nature, but fallen, it is the less, while in virtue of the unity thence retained it keeps some value; multiplicity has value in so far as it tends to return to, unity.

But how explain the unlimited? It would seem that either it is among beings and so is limited or, if unlimited, is not among beings but, at best, among things of process such as Time. To be brought to limit it must be unlimited; not the limited but the unlimited is the subject of limitation, since between the limited and the unlimited there is no intermediate to accept the principle of limitation. The unlimited recoils by very nature from the Idea of limit, though it may be caught and held by it from without:- the recoil, of course, is not from one place to another; the limitless can have nothing to do with place which arises only with the limiting of the unlimited. Hence what is known as the flux of the unlimited is not to be understood as local change; nor does any other sort of recognisable motion belong to it in itself; therefore the limitless cannot move: neither can it be at rest: in what, since all place is later? Its movement means little more than that it is not fixed in rest.

Is it, then, suspended at some one point, or rocking to and fro?

No; any such poising, with or without side motion, could be known only by place .

How, then, are we to form any conception of its being?

We must fasten on the bare notion and take what that gives us- opposites that still are not opposed: we think of large and small and the unlimited becomes either, of stationary and moving, and it will be either of these. But primarily it can be neither in any defined degree, or at once it is under limit. Limitless in this unlimited and undefined way, it is able to appear as either of a pair of opposites: draw near, taking care to throw no net of limit over it, and you have something that slips away; you come upon no unity for so it would be defined; approach the thing as a unit, and you find it manifold; call it a manifold, and again you falsify, for when the single thing is not a unity neither is the total a manifold. In one manifestation it takes the appearance of movement, in another of rest, as the mind envisages it.

And there is movement in its lack of consciousness; it has passed out of Intellectual-Principle, slid away. That it cannot break free but is under compulsion from without to keep to its circling with no possibility of advance, in this would be its rest. Thus it is not true to speak of Matter as being solely in flux.

(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.

(1) This also is worthy, in my opinion, of intellectual attention, that the tradition of the Oracles concerning the Angels affirms that they are thousand thousands, and myriad myriads, accumulating and multiplying, to themselves, the supreme limits of our numbers, and, through these, shewing clearly, that the ranks of the Heavenly Beings cannot be numbered by us. For many are the blessed hosts of the supermundane minds, surpassing the weak and contracted measurement of our material number, and being definitely known by their own supermundane and heavenly intelligence and science alone, which is given to them in profusion by the supremely Divine and Omniscient Framer of Wisdom, and essentiating Cause and connecting Force, and encompassing Term of all created things together. Next: Caput XV. Sacred Texts | Christianity « Previous: The Works of Dionysius the Areopagite: On the Heavenly Hi... Index Next: The Works of Dionysius the Areopagite: On the Heavenly Hi... » Sacred Texts | Christianity

(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?

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

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

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

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

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

(16) For the whole or total God stands in seven Species or Kinds, or in a sevenfold Form or Generating; and if these Births or Genitures were not, then there would be neither God, nor Life, nor Angel, nor any Creature.

(8) These considerations, amounting to the settlement of the question, are not countered by the phenomenon of sympathy; the response between soul and soul is due to the mere fact that all spring from that self-same soul from which springs the Soul of the All.

We have already stated that the one soul is also multiple; and we have dealt with the different forms of relationship between part and whole: we have investigated the different degrees existing within soul; we may now add, briefly, that differences might be induced, also, by the bodies with which the soul has to do, and, even more, by the character and mental operations carried over from the conduct of the previous lives. "The life-choice made by a soul has a correspondence"- we read- "with its former lives."

As regards the nature of soul in general, the differences have been defined in the passage in which we mentioned the secondary and tertiary orders and laid down that, while all souls are all-comprehensive, each ranks according to its operative phase- one becoming Uniate in the achieved fact, another in knowledge, another in desire, according to the distinct orientation by which each is, or tends to become, what it looks upon. The very fulfillment and perfectionment attainable by souls cannot but be different.

But, if in the total the organization in which they have their being is compact of variety- as it must be since every Reason-Principle is a unity of multiplicity and variety, and may be thought of as a psychic animated organism having many shapes at its command- if this is so and all constitutes a system in which being is not cut adrift from being, if there is nothing chance- borne among beings as there is none even in bodily organisms, then it follows that Number must enter into the scheme; for, once again, Being must be stable; the members of the Intellectual must possess identity, each numerically one; this is the condition of individuality. Where, as in bodily masses, the Idea is not essentially native, and the individuality is therefore in flux, existence under ideal form can rise only out of imitation of the Authentic Existences; these last, on the contrary, not rising out of any such conjunction have their being in that which is numerically one, that which was from the beginning, and neither becomes what it has not been nor can cease to be what it is.

Even supposing Real-Beings to be produced by some other principle, they are certainly not made from Matter; or, if they were, the creating principle must infuse into them, from within itself, something of the nature of Real-Being; but, at this, it would itself suffer change, as it created more or less. And, after all, why should it thus produce at any given moment rather than remain for ever stationary?

Moreover the produced total, variable from more to less, could not be an eternal: yet the soul, it stands agreed, is eternal.

But what becomes of the soul's infinity if it is thus fixed?

The infinity is a matter of power: there is question, not of the soul's being divisible into an infinite number of parts, but of an infinite possible effectiveness: it is infinity in the sense in which the Supreme God, also, is free of all bound.

This means that it is no external limit that defines the individual being or the extension of souls any more than of God; on the contrary each in right of its own power is all that it chooses to be: and we are not to think of it as going forth from itself : the fact is simply that the element within it, which is apt to entrance into body, has the power of immediate projection any whither: the soul is certainly not wrenched asunder by its presence at once in foot and in finger. Its presence in the All is similarly unbroken; over its entire range it exists in every several part of everything having even vegetal life, even in a part cut off from the main; in any possible segment it is as it is at its source. For the body of the All is a unit, and soul is everywhere present to it as to one thing.

When some animal rots and a multitude of others spring from it, the Life-Principle now present is not the particular soul that was in the larger body; that body has ceased to be receptive of soul, or there would have been no death; what happens is that whatsoever in the product of the decay is apt material for animal existence of one kind or another becomes ensouled by the fact that soul is nowhere lacking, though a recipient of soul may be. This new ensouling does not mean, however, an increase in the number of souls: all depend from the one or, rather, all remains one: it is as with ourselves; some elements are shed, others grow in their place; the soul abandons the discarded and flows into the newcoming as long as the one soul of the man holds its ground; in the All the one soul holds its ground for ever; its distinct contents now retain soul and now reject it, but the total of spiritual beings is unaffected.

(7) And if thou notest that which is revealed By Daniel, thou wilt see that in his thousands Number determinate is kept concealed. The primal light, that all irradiates it, By modes as many is received therein, As are the splendours wherewith it is mated. Hence, inasmuch as on the act conceptive The affection followeth, of love the sweetness Therein diversely fervid is or tepid. The height behold now and the amplitude Of the eternal power, since it hath made Itself so many mirrors, where 'tis broken, One in itself remaining as before."

(8) And as is mentioned before, these seven Forms divide themselves again every one in itself into an Infinity of Forms, according to the Discovery of the Spirit, and therein stands the Essence of all Essences, and it is all a great Wonder; and our whole Teaching does but aim at this, that we Men might enter into the light holy Wonders; for at the End of this Time all shall be manifested, and every Thing shall stand in that wherein it is grown; and then when that Substance (which at present it possesses and brings forth) perishes, then it is all an Eternity.