simplex

Now if Matter must characteristically be undetermined, void of shape, while in that sphere of the Highest there can be nothing that lacks determination, nothing shapeless, there can be no Matter there. Further, if all that order is simplex, there can be no need of Matter, whose function is to join with some other element to form a compound: it will be found of necessity in things of derived existence and shifting nature – the signs which lead us to the notion of Matter – but it is unnecessary to the primal. Enneads II,4,

But that argument would equally cancel the Matter present in the bodily forms of this realm: body without shape has never existed, always body achieved and yet always the two constituents. We discover these two – Matter and Idea – by sheer force of our reasoning which distinguishes continually in pursuit of the simplex, the irreducible, working on, until it can go no further, towards the ultimate in the subject of enquiry. And the ultimate of every partial-thing is its Matter, which, therefore, must be all darkness since light is a Reason-Principle. The Mind, too, as also a Reason-Principle, sees only in each particular object the Reason-Principle lodging there; anything lying below that it declares to lie below the light, to be therefore a thing of darkness, just as the eye, a thing of light, seeks light and colours which are modes of light, and dismisses all that is below the colours and hidden by them, as belonging to the order of the darkness, which is the order of Matter. Enneads II,4,

If this “infinite” means “of endless extension” there is no infinite among beings; there is neither an infinity-in-itself [Infinity Abstract] nor an infinity as an attribute to some body; for in the first case every part of that infinity would be infinite and in the second an object in which the infinity was present as an attribute could not be infinite apart from that attribute, could not be simplex, could not therefore be Matter. Enneads II,4,

It cannot be a compound, it must be a simplex, one distinct thing in its nature; only so can it be void of all quality. The Principle which gives it form gives this as something alien: so with magnitude and all really-existent things bestowed upon it. If, for example, it possessed a magnitude of its own, the Principle giving it form would be at the mercy of that magnitude and must produce not at will, but only within the limit of the Matter’s capacity: to imagine that Will keeping step with its material is fantastic. Enneads II,4,

Then how do we assert the rising in the Supreme of what we have called Reality from what is not Reality [i.e., from the pure Being which is above Reality]? The Reality there – possessing Authentic Being in the strictest sense, with the least admixture – is Reality by existing among the differentiations of the Authentic Being; or, better, Reality is affirmed in the sense that with the existence of the Supreme is included its Act so that Reality seems to be a perfectionment of the Authentic Being, though in the truth it is a diminution; the produced thing is deficient by the very addition, by being less simplex, by standing one step away from the Authentic. Enneads: II VI.

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. Enneads: II VIII.

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. Enneads: II VIII.

A thing can be hurt only by something related to it, and similarly things are not changed or modified by any chance presence: modification comes by contrary acting upon contrary; things merely different leave each other as they were. Such modification by a direct contrary can obviously not occur in an order of things to which there is no contrary: Matter, therefore [the mere absence of Reality] cannot be modified: any modification that takes place can occur only in some compound of Matter and reality, or, speaking generally, in some agglomeration of actual things. The Matter itself – isolated, quite apart from all else, utterly simplex – must remain immune, untouched in the midst of all the interacting agencies; just as when people fight within their four walls, the house and the air in it remain without part in the turmoil. Enneads III,6,

What will This be; under what character can we picture It? It must be either Intellective or without Intellection: if Intellective it is the Intellectual-Principle; if not, it will be without even knowledge of itself – so that, either way, what is there so august about it? If we define it as The Good and the wholly simplex, we will, no doubt, be telling the truth, but we will not be giving any certain and lucid account of it as long as we have in mind no entity in which to lodge the conception by which we define it. Enneads III,8,

For the Universe is not a Principle and Source: it springs from a source, and that source cannot be the All or anything belonging to the All, since it is to generate the All, and must be not a plurality but the Source of plurality, since universally a begetting power is less complex than the begotten. Thus the Being that has engendered the Intellectual-Principle must be more simplex than the Intellectual-Principle. Enneads III,8,

What place, then, is there for reasoning, for calculation, what place for memory, where wisdom and knowledge are eternal, unfailingly present, effective, dominant, administering in an identical process? The fact that the product contains diversity and difference does not warrant the notion that the producer must be subject to corresponding variations. On the contrary, the more varied the product, the more certain the unchanging identity of the producer: even in the single animal the events produced by Nature are many and not simultaneous; there are the periods, the developments at fixed epochs – horns, beard, maturing breasts, the acme of life, procreation – but the principles which initially determined the nature of the being are not thereby annulled; there is process of growth, but no diversity in the initial principle. The identity underlying all the multiplicity is confirmed by the fact that the principle constituting the parent is exhibited unchanged, undiminished, in the offspring. We have reason, then, for thinking that one and the same wisdom envelops both, and that this is the unalterable wisdom of the kosmos taken as a whole; it is manifold, diverse and yet simplex, presiding over the most comprehensive of living beings, and in no wise altered within itself by this multiplicity, but stably one Reason-Principle, the concentrated totality of things: if it were not thus all things, it would be a wisdom of the later and partial, not the wisdom of the Supreme. Enneads IV,4,

Body – not merely because it is a composite, but even were it simplex – could not exist unless there were soul in the universe, for body owes its being to the entrance of a Reason-Principle into Matter, and only from soul can a Reason-Principle come. Enneads IV,7,

Again, there is movement: all bodily movement is uniform; failing an incorporeal soul, how account for diversity of movement? Predilections, reasons, they will say; that is all very well, but these already contain that variety and therefore cannot belong to body which is one and simplex, and, besides, is not participant in reason – that is, not in the sense here meant, but only as it is influenced by some principle which confers upon it the qualities of, for instance, being warm or cold. Enneads IV,7,

Every dissoluble entity, that has come to be by way of groupment, must in the nature of things be broken apart by that very mode which brought it together: but the soul is one and simplex, living not in the sense of potential reception of life but by its own energy; and this can be no cause of dissolution. Enneads IV,7,

Anaxagoras, again, in his assertion of a Mind pure and unmixed, affirms a simplex First and a sundered One, though writing long ago he failed in precision. Enneads: V I

Are we to think that a being knowing itself must contain diversity, that self-knowledge can be affirmed only when some one phase of the self perceives other phases, and that therefore an absolutely simplex entity would be equally incapable of introversion and of self-awareness? No: a being that has no parts or phases may have this consciousness; in fact there would be no real self-knowing in an entity presented as knowing itself in virtue of being a compound – some single element in it perceiving other elements – as we may know our own form and entire bodily organism by sense-perception: such knowing does not cover the whole field; the knowing element has not had the required cognisance at once of its associates and of itself; this is not the self-knower asked for; it is merely something that knows something else. Enneads V,3,

Similarly the knowing principle itself cannot remain simplex, especially in the act of self-knowing: all silent though its self-perception be, it is dual to itself. Of course it has no need of minute self-handling since it has nothing to learn by its intellective act; before it is [effectively] Intellect, it holds knowledge of its own content. Knowledge implies desire, for it is, so to speak, discovery crowning a search; the utterly undifferentiated remains self-centred and makes no enquiry about that self: anything capable of analysing its content, must be a manifold. Enneads V,3,

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 [fully realised] 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. Enneads V,3,

The Intellectual-Principle is established in multiplicity; its intellection, self-sprung though it be, is in the nature of something added to it [some accidental dualism] 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. Enneads V,3,

But, they will tell us, the Activities in question do proceed from a unity, from the Intellectual-Principle, a simplex. Enneads V,3,

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 [hypostases]; 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. Enneads V,3,

The wholly simplex and veritable self-sufficing can be lacking at no point: self-intellection begins in that principle which, secondarily self-sufficing, yet needs itself and therefore needs to know itself: this principle, by its self-presence, achieves its sufficiency in virtue of its entire content [it is the all]: it becomes thus competent from the total of its being, in the act of living towards itself and looking upon itself. Enneads V,3,

Consciousness, as the very word indicates, is a conperception, an act exercised upon a manifold: and even intellection, earlier [nearer to the divine] though it is, implies that the agent turns back upon itself, upon a manifold, then. If that agent says no more than “I am a being,” it speaks [by the implied dualism] as a discoverer of the extern; and rightly so, for being is a manifold; when it faces towards the unmanifold and says, “I am that being,” it misses both itself and the being [since the simplex cannot be thus divided into knower and known]: if it is [to utter] truth it cannot indicate by “being” something like a stone; in the one phrase multiplicity is asserted; for the being thus affirmed – [even] the veritable, as distinguished from such a mere container of some trace of being as ought not to be called a being since it stands merely as image to archetype – even this must possess multiplicity. Enneads V,3,

This accepted, it follows that anything that is to be thought of as the most utterly simplex of all cannot have self-intellection; to have that would mean being multiple. The Transcendent, thus, neither knows itself nor is known in itself. Enneads V,3,

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. Enneads V,3,

All must be grouped under a unity which, as standing outside of all multiplicity and outside of any ordinary simplicity, is the veritably and essentially simplex. Enneads V,3,

Still, how can a Reason-Principle [the Intellectual], characteristically a manifold, a total, derive from what is obviously no Reason-Principle? But how, failing such origin in the simplex, could we escape [what cannot be accepted] the derivation of a Reason-Principle from a Reason-Principle? And how does the secondarily good [the imaged Good] derive from The Good, the Absolute? What does it hold from the Absolute Good to entitle it to the name? Similarity to the prior is not enough, it does not help towards goodness; we demand similarity only to an actually existent Good: the goodness must depend upon derivation from a Prior of such a nature that the similarity is desirable because that Prior is good, just as the similarity would be undesirable if the Prior were not good. Enneads V,3,

Our One-First is not a body: a body is not simplex and, as a thing of process cannot be a First, the Source cannot be a thing of generation: only a principle outside of body, and utterly untouched by multiplicity, could be The First. Enneads V,4,

Any unity, then, later than The First must be no longer simplex; it can be no more than a unity in diversity. Enneads V,4,

Thus it is not a simplex; it is manifold; it exhibits a certain composite quality – within the Intellectual or divine order, of course – as the principle that sees the manifold. It is, further, itself simultaneously object and agent of intellection and is on that count also a duality: and it possesses besides another object of intellection in the Order following upon itself. Enneads V,4,

It is The Good since, being a power [being effective outwardly], it is the cause of the intelligent and intellective life as of life and intellect: for these grow from it as from the source of essence and of existence, the Source as being One, simplex and first because before it was nothing. All derives from this: it is the origin of the primal movement which it does not possess and of the repose which is but its absence of need; for neither rest nor movement can belong to that which has no place in which either could occur; centre, object, ground, all are alike unknown to it, for it is before all. Yet its Being is not limited; what is there to set bounds to it? Nor, on the other hand, is it infinite in the sense of magnitude; what place can there be to which it must extend, or why should there be movement where there is no lacking? All its infinitude resides in its power: it does not change and will not fail; and in it all that is unfailing finds duration. Enneads V,5,

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 [in order to primal intellection] 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. Enneads V,6,

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, [a principle of identity] 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. Enneads V,6,

Another consideration is that if The Good [and First] 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.) Enneads V,6,

How could anything be present in anything else unless in virtue of a source existing independently of association? The simplex [or absolute] requires no derivation; but any manifold, or any dual, must be dependent. Enneads V,6,

All that we see, and describe as having existence, we know to be compound; hand-wrought or compacted by nature, nothing is simplex. Now the hand-wrought, with its metal or stone or wood, is not realized out of these materials until the appropriate craft has produced statue, house or bed, by imparting the particular idea from its own content. Similarly with natural forms of being; those including several constituents, compound bodies as we call them, may be analysed into the materials and the Idea imposed upon the total; the human being, for example, into soul and body; and the human body into the four elements. Finding everything to be a compound of Matter and shaping principle – since the Matter of the elements is of itself shapeless – you will enquire whence this forming idea comes; and you will ask whether in the soul we recognise a simplex or whether this also has constituents, something representing Matter and something else – the Intellectual-Principle in it – representing Idea, the one corresponding to the shape actually on the statue, the other to the artist giving the shape. Enneads V,8,

There is, thus, a Nature comprehending in the Intellectual all that exists, and this Principle must be the source of all. But how, seeing that the veritable source must be a unity, simplex utterly? The mode by which from the unity arises the multiple, how all this universe comes to be, why the Intellectual-Principle is all and whence it springs, these matters demand another approach. Enneads V,8,

And whence is this resistance supposed to come? Whence the three dimensions? What is the source of their existence? Matter is not comprised in the concept of the three-dimensional, nor the three-dimensional in the concept of Matter; if Matter partakes thus of extension, it can no longer be a simplex. Enneads: VI I

Qualities must be for this school distinct from Substrates. This in fact they acknowledge by counting them as the second category. If then they form a distinct category, they must be simplex; that is to say they are not composite; that is to say that as qualities, pure and simple, they are devoid of Matter: hence they are bodiless and active, since Matter is their substrate – a relation of passivity. Enneads: VI I

Now the wonder comes how a unity of this type can be many as well as one. In the case of body it was easy to concede unity-with-plurality; the one body is divisible to infinity; its colour is a different thing from its shape, since in fact they are separated. But if we take Soul, single, continuous, without extension, of the highest simplicity – as the first effort of the mind makes manifest – how can we expect to find multiplicity here too? We believed that the division of the living being into body and soul was final: body indeed was manifold, composite, diversified; but in soul we imagined we had found a simplex, and boldly made a halt, supposing that we had come to the limit of our course. Enneads VI,2,

Further, as the simplex must be the principle of the non-simplex, though not its genus – for then the non-simplex too would be simplex, – so it stands with unity; if unity is a Principle; it cannot be a genus to its subsequents, and therefore cannot be a genus of Being or of other things. If it is nevertheless to be a genus, everything of which it is a genus must be taken as a unit – a notion which implies the separation of unity from substance: it will not, therefore, be all-embracing. just as Being is not a genus of everything but only of species each of which is a being, so too unity will be a genus of species each of which is a unity. But that raises the question of what difference there is between one thing and another in so far as they are both units, corresponding to the difference between one being and another. Enneads VI,2,

Action and Passivity presuppose Motion; if, then, they exist in the higher sphere, they each involve a duality; neither is a simplex. Enneads VI,2,

But would not this indicate that the Authentic is diverse, multiple? That diversity is simplex still; that multiple is one; for it is a Reason-Principle, which is to say a unity in variety: all Being is one; the differing being is still included in Being; the differentiation is within Being, obviously not within non-Being. Being is bound up with the unity which is never apart from it; wheresoever Being appears, there appears its unity; and the unity of Being is self-standing, for presence in the sensible does not abrogate independence: things of sense are present to the Intellectual – where this occurs – otherwise than as the Intellectual is present within itself; so, too, body’s presence to soul differs from that of knowledge to soul; one item of knowledge is present in a different way than another; a body’s presence to body is, again, another form of relation. Enneads VI,4,

There is in fact no planning There; we speak of reasoned purpose in the world of things only to convey that the universe is of the character which in the later order would point to a wise purposing; Providence implies that things are as, in the later order, a competent foreplanning would produce them. Reasoning serves, in beings not of the order above that need, to supply for the higher power; foresight is necessary in the lack of power which could dispense with it; it labours towards some one occurrence in preference to another and it goes in a sort of dread of the unfitting; where only the fitting can occur, there is no foreseeing. So with planning; where one only of two things can be, what place is there for plan? The alone and one and utterly simplex cannot involve a “this to avert that”: if the “this” could not be, the “that” must; the serviceable thing appeared and at once approved itself so. Enneads VI,7,

For Intellectual-Principle is not a simplex, nor is the soul that proceeds from it: on the contrary things include variety in the degree of their simplicity, that is to say in so far as they are not compounds but Principles and Activities; – the activity of the lowest is simple in the sense of being a fading-out, that of the First as the total of all activity. Intellectual-Principle is moved in a movement unfailingly true to one course, but its unity and identity are not those of the partial; they are those of its universality; and indeed the partial itself is not a unity but divides to infinity. Enneads VI,7,

A simplex moving retains its character; either there is no change, movement has been null, or if there has been advance it still remains a simplex and at once there is a permanent duality: if the one member of this duality is identical with the other, then it is still as it was, there has been no advance; if one member differs from the other, it has advanced with differentiation, and, out of a certain identity and difference, it has produced a third unity. This production, based on Identity and Difference, must be in its nature identical and different; it will be not some particular different thing but Collective Difference, as its Identity is Collective Identity. Enneads VI,7,

It is in view, probably, of this difficulty that Plato, in the Philebus, makes pleasure an element in the Term; the good is not defined as a simplex or set in Intellectual-Principle alone; while he rightly refrains from identifying the good with the pleasant, yet he does not allow Intellectual-Principle, foreign to pleasure, to be The Good, since he sees no attractive power in it. He may also have had in mind that the good, to answer to its name, must be a thing of delight and that an object of pursuit must at least hold some pleasure for those that acquire and possess it, so that where there is no joy the good too is absent, further that pleasure, implying pursuit, cannot pertain to the First and that therefore good cannot. Enneads VI,7,

It would seem possible, however, to perceive and yet be unmoved by the possession; this is quite likely in the case of the wiser and least dependent – and indeed it is so with the First, immune not merely because simplex, but because pleasure by acquisition implies lack. Enneads VI,7,

Intellectual-Principle, thus, has two powers, first that of grasping intellectively its own content, the second that of an advancing and receiving whereby to know its transcendent; at first it sees, later by that seeing it takes possession of Intellectual-Principle, becoming one only thing with that: the first seeing is that of Intellect knowing, the second that of Intellect loving; stripped of its wisdom in the intoxication of the nectar, it comes to love; by this excess it is made simplex and is happy; and to be drunken is better for it than to be too staid for these revels. Enneads VI,7,

But we ask in what must his grandeur lie, in his Intellection or in himself. If in the Intellection, he has no worth or the less worth; if in himself, he is perfect before the Intellection, not perfected by it. We may be told that he must have Intellection because he is an Act, not a potentiality. Now if this means that he is an essence eternally intellective, he is represented as a duality – essence and Intellective Act – he ceases to be a simplex; an external has been added: it is just as the eyes are not the same as their sight, though the two are inseparable. If on the other hand by this actualization it is meant that he is Act and Intellection, then as being Intellection he does not exercise it, just as movement is not itself in motion. Enneads VI,7,

But do not we ourselves assert that the Beings There are essence and Act? The Beings, yes, but they are to us manifold and differentiated: the First we make a simplex; to us Intellection begins with the emanant in its seeking of its essence, of itself, of its author; bent inward for this vision and having a present thing to know, there is every reason why it should be a principle of Intellection; but that which, never coming into being, has no prior but is ever what it is, how could that have motive to Intellection? As Plato rightly says, it is above Intellect. Enneads VI,7,

Again, if the Supreme is to have intellection it cannot know only itself; that would not be intellection, for, if it did know itself, nothing could prevent it knowing all things; but this is impossible. With self-intellection it would no longer be simplex; any intellection, even in the Supreme, must be aware of something distinct; as we have been saying, the inability to see the self as external is the negation of intellection. That act requires a manifold-agent, object, movement and all the other conditions of a thinking principle. Further we must remember what has been indicated elsewhere that, since every intellectual act in order to be what it must be requires variety, every movement simple and the same throughout, though it may comport some form of contact, is devoid of the intellective. Enneads VI,7,

Further, this objected obedience to the characteristic nature would imply a duality, master and mastered; but an undivided Principle, a simplex Activity, where there can be no difference of potentiality and act, must be free; there can be no thought of “action according to the nature,” in the sense of any distinction between the being and its efficiency, there where being and act are identical. Where act is performed neither because of another nor at another’s will, there surely is freedom. Freedom may of course be an inappropriate term: there is something greater here: it is self-disposal in the sense, only, that there is no disposal by the extern, no outside master over the act. Enneads VI,8,

Another approach: Everything to which existence may be attributed is either one with its essence or distinct from it. Thus any given man is distinct from essential man though belonging to the order Man: a soul and a soul’s essence are the same – that is, in case of soul pure and unmingled – Man as type is the same as man’s essence; where the thing, man, and the essence are different, the particular man may be considered as accidental; but man, the essence, cannot be so; the type, Man, has Real Being. Now if the essence of man is real, not chanced or accidental, how can we think That to be accidental which transcends the order man, author of the type, source of all being, a principle more nearly simplex than man’s being or being of any kind? As we approach the simplex, accident recedes; what is utterly simplex accident never touches at all. Enneads VI,8,

Considered as at once Thinker and Object of its Thought, it is dual, not simplex, not The Unity: considered as looking beyond itself, it must look to a better, to a prior: looking simultaneously upon itself and upon its Transcendent, it is, once more, not a First. Enneads VI,8,

But how, if not in movement, can it be otherwise than at rest? The answer is that movement and rest are states pertaining to Being, which necessarily has one or the other or both. Besides, anything at rest must be so in virtue of Rest as something distinct: Unity at rest becomes the ground of an attribute and at once ceases to be a simplex. Enneads VI,8,

The main part of the difficulty is that awareness of this Principle comes neither by knowing nor by the Intellection that discovers the Intellectual Beings but by a presence overpassing all knowledge. In knowing, soul or mind abandons its unity; it cannot remain a simplex: knowing is taking account of things; that accounting is multiple; the mind, thus plunging into number and multiplicity, departs from unity. Enneads VI,8,

Now a plurality thus concentrated like the Intellectual Kosmos is close upon The First – and reason certifies its existence as surely as that of soul – yet, though of higher sovereignty than soul, it is not The First since it is not a unity, not simplex as unity, principle over all multiplicity, must be. Enneads VI,8,