Guthrie-Plotinus: extension

As the nature of the body is composite, reason convinces us that it cannot last perpetually, and our senses show it to us dissolved, destroyed, and decayed, because the elements that compose it return to join the elements of the same nature, altering, destroying them and each other, especially when this chaos is abandoned to the soul, which alone keeps her parts combined. Even if a body were taken alone, it would not be a unity; it may be analyzed into form and matter, principles that are necessary to the constitution of all bodies, even of those that are simple. Besides, as they contain extension, the bodies can be cut, divided into infinitely small parts, and thus perish. Therefore if our body is a part of ourselves, not all of us is immortal; if the body is only the instrument of the soul, as the body is given to the soul only for a definite period, it still is by nature perishable. [Ennead IV,7 (2) 1]

(b.) (No aggregation of atoms could form a whole that would be one and sympathetic with itself.) Others, on the contrary, insist that the soul is constituted by the union of atoms or indivisibles (as thought Leucippus, Democritus   and Epicurus  .) To refute this error, we have to examine the nature of sympathy (or community of affection, a Stoic characteristic of a living being,) and juxtaposition. On the one hand an aggregation of corporeal molecules which are incapable of being united, and which do not feel cannot form a single sympathetic whole such as is the soul, which is sympathetic with herself. On the other hand, how could a body or extension be constituted by (a juxtaposition of) atoms? [Ennead IV,7 (2) 3]

(j.) (The soul, being one and simple, is everywhere entire, and has parts that are identical to the whole; this is not the case with the body.) If the soul is a body, she will have parts that are not identical with the whole, as every body is by nature divisible. If then the soul has a definite magnitude of which she cannot lose anything without ceasing to be a soul, she will by losing her parts, change her nature, as happens to every quantity. If, on losing some part of its magnitude, a body, notwithstanding, remains identical in respect to quality, it does not nevertheless become different from what it was, in respect to quantity, and it remains identical only in respect to quality, which differs from quantity. What shall we answer to those who insist that the soul is a body? Will they say that, in the same body, each part possesses the same quality as the total soul, and that the case is similar with the part of a part? Then quantity is no longer essential to the nature of the soul; which contradicts the hypothesis that the soul needed to possess a definite magnitude. Besides the soul is everywhere entire; now it is impossible for a body to be entire in several places simultaneously, or have parts identical to the whole. If we refuse the name of soul to each part, the soul is then composed of inanimate parts. Besides, if the soul is a definite magnitude, she cannot increase or diminish without ceasing to be a soul; but it often happens that from a single conception or from a single germ are born two or more beings, as is seen in certain animals in whom the germs divide; in this case, each part is equal to the whole. However superficially considered, this fact demonstrates that the principle in which the part is equal to the whole is essentially superior to quantity, and must necessarily lack any kind of quantity. On this condition alone can the soul remain identical when the body loses its quantity, because she has need of no mass, no quantity, and because her essence is of an entirely different nature. The soul and the (seminal) reasons therefore possess no extension. [Ennead IV,7 (2) 5]

The subject that perceives a sense-object must itself be single, and grasp this object in its totality, by one and the same power. This happens when by several organs we perceive several qualities of a single object, or when, by a single organ, we embrace a single complex object in its totality, as, for instance, a face. It is not one principle that sees the face, and another one that sees the eyes; it is the “same principle” which embraces everything at once. Doubtless we do receive a sense-impression by the eyes, and another by the ears; but both of them must end in some single principle. How, indeed, could any decision be reached about the difference of sense-impressions unless they all converged toward the same principle? The latter is like a centre, and the individual sensations are like radii which from the circumference radiate towards the centre of a circle. This central principle is essentially single. If it was divisible, and if sense-impressions were directed towards two points at a distance from each other, such as the extremities of the same line, they would either still converge towards one and the same point, as, for instance, the middle (of the line), or one part would feel one thing, and another something else. It would be absolutely as if I felt one thing, and you felt another, when placed in the presence of one and the same thing (as thought Aristotle  , de Anima). Facts, therefore, demonstrate that sensations centre in one and the same principle; as visible images are centred in the pupil of the eye; otherwise how could we, through the pupil, see the greatest objects? So much the more, therefore, must the sensations that centre in the (Stoic) “directing principle” resemble indivisible intuitions and be perceived by an indivisible principle. If the latter possessed extension, it could, like the sense-object, be divided; each of its parts would thus perceive one of the parts of the sense-object, and nothing within us would grasp the object in its totality. The subject that perceives must then be entirely one; otherwise, how could it be divided? In that case it could not be made to coincide with the sense-object, as two equal figures superimposed on each other, because the directing principle does not have an extension equal to that of the sense-object. How then will we carry out the division? Must the subject that feels contain as many parts as there are in the sense-object? Will each part of the soul, in its turn, feel by its own parts, or will (we decide that) the parts of parts will not feel? Neither is that likely. If, on the other hand, each part feels the entire object, and if each magnitude is divisible to infinity, the result is that, for a single object, there will be an infinity of sensations in each part of the soul; and, so much the more, an infinity of images in the principle that directs us. (This, however, is the opposite of the actual state of affairs.) [Ennead IV,7 (2) 6]

The same reflections may be made about pain, and one’s feeling of it. When a man’s finger is said to give him pain, this, no doubt, is a recognition that the seat of the pain is in the finger, and that the feeling of pain is experienced by the directing principle. Consequently, when a part of the spirit suffers, this suffering is felt by the directing principle, and shared by the whole soul. How can this sympathy be explained? By relay transmission, (the Stoic) will answer; the sense-impression is felt first by the animal spirit that is in the finger, and then transmitted to the neighboring part, and so on till it reaches the directing part. Necessarily, if the pain is felt by the first part that experiences it, it will also be felt by the second part to which it is transmitted; then by the third, and so on, until the one pain would have caused an infinite number of sensations. Last the directing principle will perceive all these sensations, adding thereto its own sensation. Speaking strictly, however, each of these sensations will not transmit the suffering of the finger, but the suffering of one of the intermediate parts. For instance, the second sensation will relay the suffering of the hand. The third, that of the arm, and so on, until there will be an infinity of sensations. The directing principle, for its part, will not feel the pain of the finger, but its own; it will know none but that, it will pay no attention to the rest, because it will ignore the pain suffered by the finger. Therefore, relayed sensation is an impossibility, nor could one part of the body perceive the suffering felt by another part; for the body has extension, and, in every extension, parts are foreign to each other (the opposite of the opinion of Cleanthes, Nemesius). Consequently, the principle that feels must everywhere be identical with itself; and among all beings, the body is that which is least suitable to this identity. [Ennead IV,7 (2) 7]

If, in any sense whatever, the soul were a body, we could not think. Here is the proof. If feeling is explained as the soul’s laying hold of perceptible things by making use of the body, thinking cannot also of making use of the body. Otherwise, thinking and feeling would be identical. Thus, thinking must consist in perceiving without the help of the body (as thought Aristotle). So much the more, the thinking principle cannot be corporeal. Since it is sensation that grasps sense-objects, it must likewise be thought, or intellection, that grasps intelligible objects. Though this should be denied, it will be admitted that we think certain intelligibles entities, and that we perceive entities that have no extension. How could an entity that had extension think one that had no extension? Or a divisible entity, think an indivisible one? Could this take place by an indivisible part? In this case, the thinking subject will not be corporeal; for there is no need that the whole subject be in contact with the object; it would suffice if one of its parts reached the object (as Aristotle said against Plato). If then this truth be granted, that the highest thoughts must have incorporeal objects, the latter can be cognized only by a thinking principle that either is, or becomes independent of body. Even the objection that the object of thought is constituted by the forms inherent in matter, implies that these forces cannot be thought unless, by intelligence, they are separated from matter. It is not by means of the carnal mass of the body, nor generally by matter, that we can effect the abstraction of triangle, circle, line or point. To succeed in this abstraction, the soul must separate from the body, and consequently, the soul cannot be corporeal. [Ennead IV,7 (2) 8]

Neither do beauty or justice possess extension, I suppose; and their conception must be similar. These things can be cognized or retained only by the indivisible part of the soul. If the latter were corporeal, where indeed could virtues, prudence, justice and courage exist? In this case, virtues (as Critias   thought), would be no more than a certain disposition of the spirit, or blood (as Empedocles   also thought). For instance, courage and temperance would respectively be no more than a certain irritability, and a fortunate temperament of the spirit; beauty would consist in the agreeable shape of outlines, which cause persons, in whom they occur, to be called elegant and handsome. Under this hypothesis, indeed, the types of spirit might possess vigor and beauty. But what need would it have of temperance? On the contrary, the spirit would seek to be agreeably affected by the things it touches and embraces, to enjoy a moderate heat, a gentle coolness, and to be in contact only with sweet, tender, and smooth entities. What incentive would the spirit have to apportion rewards to those who had deserved them? [Ennead IV,7 (2) 8]

The proof that bodies are activated only by incorporeal faculties may be proved as follows: Quantity and quality are two different things. Every body has a quantity, but not always a quality, as in the case of matter, (according to the Stoic definition, that it was a body without quality, but possessing magnitude). Granting this, (you Stoic) will also be forced to admit that as quality is something different from quantity, it must consequently be different from the body. Since then every body has a quantity, how could quality, which is no quantity, be a body? Besides, as we said above, every body and mass is altered by division; nevertheless, when a body is cut into pieces, every part preserves the entire quality without undergoing alteration. For instance, every molecule of honey, possesses the quality of sweetness as much as all the molecules taken together; consequently that sweetness cannot be corporeal; and other qualities must be in a similar case. Moreover, if the active powers were corporeal, they would have to have a material mass proportional to their strength or weakness. Now there are great masses that have little force, and small ones that have great force; demonstrating that power does not depend on extension, and should be attributed to some (substance) without extension. Finally, you may say that matter is identical with body, and produces different beings only by receiving different qualities (the Stoics considering that even the divinity was no more than modified matter, their two principles being matter and quality; the latter, however, was also considered as body). How do you (Stoics) not see that qualities thus added to matter are reasons, that are primary and immaterial? Do not object that when the spirit (breath) and blood abandon animals, they cease to live; for if these things are necessary to life, there are for our life many other necessities, even during the presence of the soul (as thought Nemesius). Besides, neither spirit nor blood are distributed to every part of the body. [Ennead IV,7 (2) 8]

Intelligence, therefore, essentially constitutes all beings; and when Intelligence thinks them, they are not outside of Intelligence, and neither precede nor follow it. Intelligence is the first legislator, or rather, it is the very law of existence. Parmenides   therefore was right in saying, “Thought is identical with existence.” The knowledge of immaterial things is therefore identical with those things themselves. That is why I recognize myself as a being, and why I have reminiscences of intelligible entities. Indeed, none of those beings is outside of Intelligence, nor is contained in any location; all of them subsist in themselves as immutable and indestructible. That is why they really are beings. If they were born, or perished, they would possess existence only in an incidental manner, they would no longer be beings; it would be the existence they possessed which would be essence. It is only by participation that sense-things are what they are said to be; the nature that constitutes their substance derives its shape from elsewhere, as the metal receives its shape from the sculptor, and wood from the carpenter; while the image of art penetrates into the matter, the art itself remains in its identity, and within itself possesses the genuine existence of the statue or of the bed. That is how the bodies’ general necessity of participating in images shows that they are different from the beings; for they change, while the entities are immutable, possess within themselves their own foundation, and have no need of existing in any location, since they have no extension, and since they subsist in an intellectual and absolute existence. Again, the existence of the bodies needs to be guarded by some other principle, while intelligence, which furnishes the existence for objects in themselves perishable, has need of nothing to make itself subsist. [Ennead V,9 (5) 5]

Just as the soul of each animal is one, because she is entirely present in the whole body, and because she is thus really one, because she does not have one part in one organ, and some other part in another; and just as the sense-soul is equally one in all the beings which feel, and just as the vegetative soul is everywhere entirely one in each part of the growing plants; why then should your soul and mine not form a single unity? Why should not all souls form but a single one? Why should not the universal (Soul) which is present in all beings, be one because she is not divided in the manner of a body, being everywhere the same? Why indeed should the soul in myself form but one, and the universal (Soul) likewise not be one, similarly, since no more than my own is this universal (Soul) either material extension, or a body? If both my soul and yours proceed from the universal (Soul), and if the latter be one, then should my soul and yours together form but a single one. Or again, on the supposition that the universal (Soul) and mine proceed from a single soul, even on this hypothesis would all souls form but a single one. We shall have to examine in what (this Soul which is but) one consists. [Ennead IV,9 (8) 1]

(Following the ideas of Aristotle, Plotinos   wonders whether some objector) will ask whether the composition of a body requires anything beyond extension and all the other qualities? Yes: it demands a substrate to receive them (as a residence). This substrate is not a mass; for in this case, it would be an extension. But if this substrate have no extension, how can it be a residence (for form)? Without extension, it could be of no service, contributing neither to form nor qualities, to magnitude nor extension. It seems that extension, wherever it be, is given to bodies by matter. Just as actions, effects, times and movements, though they do not imply any matter, nevertheless are beings, it would seem that the elementary bodies do not necessarily imply matter (without extension), being individual beings, whose diverse substance is constituted by the mingling of several forms. Matter without extension, therefore, seems to be no more than a meaningless name. [Ennead II,4 (12) 11]

(Our answer to the above objection is this:) To begin with, not every residence is necessarily a mass, unless it have already received extension. The soul, which possesses all things, contains them all simultaneously. If it possessed extension, it would possess all things in extension. Consequently matter receives all it contains in extension, because it is capable thereof. Likewise in animals and plants there is a correspondence between the growth and diminution of their magnitude, with that of their quality. It would be wrong to claim that magnitude is necessary to matter because, in sense-objects, there exists a previous magnitude, on which is exerted the action of the forming principle; for the matter of these objects is not pure matter, but individual matter (as said Aristotle). Matter pure and simple must receive its extension from some other principle. Therefore the residence of form could not be a mass; for in receiving extension, it would also receive the other qualities. Matter therefore, is the image of extension, because as it is primary matter, it possesses the ability to become extended. People often imagine matter as empty extension; consequently several philosophers have claimed that matter is identical with emptiness. I repeat: matter is the image of extension because the soul, when considering matter, is unable to determine anything, spreads into indetermination, without being able to circumscribe or mark anything; otherwise, matter would determine something. This substrate could not properly be called big or little; it is simultaneously big and little (as said Aristotle). It is simultaneously extended and non-extended, because it is the matter of extension. If it were enlarged or made smaller, it would somehow move in extension. Its indetermination is an extension which consists in being the very residence of extension, but really in being only imaginary extension, as has been explained above. Other beings, that have no extension, but which are forms, are each of them determinate, and consequently imply no other idea of extension. On the contrary, matter, being indeterminate, and incapable of remaining within itself, being moved to receive all forms everywhere, ever being docile, by this very docility, and by the generation (to which it adapts itself), becomes manifold. It is in this way its nature seems to be extension. [Ennead II,4 (12) 11]

Extensions therefore contribute to the constitutions of bodies; for the forms of bodies are in extensions. These forms produce themselves not in extension (which is a form), but in the substrate that has received extension. If they occurred in extension, instead of occurring in matter, they would nevertheless have neither extension nor (hypostatic) substance; for they would be no more than reasons. Now as reasons reside in the soul, there would be no body. Therefore, in the sense-world, the multiplicity of forms must have a single substrate which has received extension, and therefore must be other than extension. All things that mingle form a mixture, because they contain matter; they have no need of any other substrate, because each of them brings its matter along with it. But (forms) need a receptacle (a residence), a “vase” (or stand), a location (this in answer to the objection at the beginning of the former section). Now location is posterior to matter and to bodies. Bodies, therefore, presuppose matter. Bodies are not necessarily immaterial, merely because actions and operations are. In the occurrence of an action, matter serves as substrate to the agent; it remains within him without itself entering into action; for that is not that which is sought by the agent. One action does not change into another, and consequently has no need of containing matter; it is the agent who passes from one action to another, and who, consequently, serves as matter to the actions (as thought Aristotle). [Ennead II,4 (12) 12]

Matter, therefore, is necessary to quality as well as to quantity, and consequently, to bodies. In this sense, matter is not an empty name, but a substrate, though it be neither visible nor extended. Otherwise, for the same reason, we would be obliged also to deny qualities and extension; for you might say that each of these things, taken in itself, is nothing real. If these things possess existence, though their existence be obscure, so much the more must matter possess existence, though its existence be neither clear nor evident to the senses. Indeed, matter cannot be perceived by sight, since it is colorless; nor by hearing, for it is soundless; nor by smell or taste, because it is neither volatile nor wet. It is not even perceived by touch, for it is not a body. Touch cognizes only body, recognizes that it is dense or sparse, hard or soft, wet or dry; now none of these attributes is characteristic of matter. The latter therefore can be perceived only by a reasoning which does not imply the presence of intelligence, which, on the contrary, implies the complete absence of matter; which (unintelligent reasoning therefore) deserves the name of “bastard” (or, illegitimate) reasoning. Corporeity itself, is not characteristic of matter. If corporeity be a reason (that is, by a pun, a ‘form’), it certainly differs from matter, both being entirely distinct. If corporeity be considered when it has already modified matter and mingled with it, it is a body; it is no longer matter pure and simple. [Ennead II,4 (12) 12]

Those who insist that the substrate of things is a quality common to all elements are bound to explain first the nature of this quality; then, how a quality could serve as substrate; how an unextended, immaterial (?) quality could be perceived in something that lacked extension; further, how, if this quality be determinate, it can be matter; for if it be something indeterminate, it is no longer a quality, but matter itself that we seek. [Ennead II,4 (12) 13]

Some one may object that that is possible, because “being something else” is a quality. We would then have to ask whether the thing that is other be otherness-in-itself? If it be otherness-in-itself, it is so not because it is something qualified, because quality is not something qualified. If this thing be only other, it is not such by itself, it is so only by otherness, as a thing that is identical by identity. Privation, therefore, is not a quality, nor anything qualified, but the absence of quality or of something else, as silence is the absence of sound. Privation is something negative; qualification is something positive. The property of matter is not a form; for its property consists precisely in having neither qualification nor form. It is absurd to insist that it is qualified, just because it has no quality; this would be tantamount to saying that it possessed extension by the very fact of its possessing no extension. The individuality (or, property) of matter is to be what it is. Its characteristic is not an attribute; it consists in a disposition to become other things. Not only are these other things other than matter, but besides each of them possesses an individual form. The only name that suits matter is “other,” or rather, “others,” because the singular is too determinative, and the plural better expresses indetermination. [Ennead II,4 (12) 13]

As to the souls which have left the sense-world, so long as they remain in the intelligible world, they are above the guardian condition, and the fatality of generation. Souls bring with them thither that part of their nature which is desirous of begetting, and which may reasonably be regarded as the essence which is divisible in the body, and which multiplies by dividing along with the bodies. Moreover, if a soul divide herself, it is not in respect to extension; because she is entirely in all the bodies. On the other hand, the Soul is one; and from a single animal are ceaselessly born many young. This generative element splits up like the vegetative nature in plants; for this nature is divisible in the bodies. When this divisible essence dwells in the same body, it vivifies the body, just as the vegetative power does for plants. When it retires, it has already communicated life, as is seen in cut trees, or in corpses where putrefaction has caused the birth of several animals from a single one. Besides, the vegetative power of the human soul is assisted by the vegetative power that is derived from the universal (Soul), and which here below is the same (as on high). [Ennead III,4 (15) 6]

Taking the illustration of fire, is it “mere being” before it is “such being?” In this case, it would be a body. Consequently, the body will be a being; fire will be a hot body. Body and heat combined will not constitute being; but heat will exist in the body as in you exists the property of having a stub nose (as said Aristotle). Consequently, if we abstract heat, shine and lightness, which seem to be qualities, and also impenetrability, nothing will remain but tridimensional extension, and matter will be “being.” But this hypothesis does not seem likely; it is rather form which will be “being.” [Ennead II,6 (17) 2]

On the other hand, there exists another kind of essence (“being”), whose nature differs from the preceding (entirely divisible beings), which admits of no division, and is neither divided nor divisible. This has no extension, not even in thought. It does not need to be in any place, and is not either partially or wholly contained in any other being. If we dare say so, it hovers simultaneously over all beings, not that it needs to be built up on them, but because it is indispensable to the existence of all. It is ever identical with itself, and is the common support of all that is below it. It is as in the circle, where the centre, remaining immovable in itself, nevertheless is the origin of all the radii originating there, and drawing their existence thence. The radii by thus participating in the existence of the centre, the radii’s principle, depend on what is indivisible, remaining attached thereto, though separating in every direction. [Ennead IV,2 (21) 1]

In no way does the unity of this essence resemble that of the body; for the unity of the body consists in the unity of parts, of which each is different from the others, and occupies a different place. Nor does the unity of the soul bear any closer resemblance to the unity of the qualities. Thus this nature that is simultaneously divisible and indivisible, and that we call soul is not one in the sense of being continuous (of which each part is external to every other); it is divisible, because it animates all the parts of the body it occupies, but is indivisible because it entirely inheres in the whole body, and in each of its parts. When we thus consider the nature of the soul, we see her magnitude and power, and we understand how admirable and divine are these and superior natures. Without any extension, the soul is present throughout the whole of extension; she is present in a location, though she be not present therein. She is simultaneously divided and undivided, or rather, she is never really divided, and she never really divides; for she remains entire within herself. If she seem to divide, it is not in relation with the bodies, which, by virtue of their own divisibility, cannot receive her in an indivisible manner. Thus division is the property of the body, but not the characteristic of the soul. [Ennead IV,2 (21) 1]

But if the Soul had such an extension before the body approached her, if she already filled all space, how can she have no magnitude? Besides, how could she have been present in the universe when the latter did not yet exist? Last, being considered indivisible and non-extended, is she everywhere present without having any magnitude? If the answer be that she extended herself throughout the body of the universe without herself being corporeal, the question is not yet resolved by thus accidentally attributing magnitude to the Soul; for it would then be reasonable to ask how she grew great by accident. The Soul could not extend herself in the entire body in the same manner as quality, as for instance, sweetness or color; for these are passive modifications of the bodies, so that one must not be astonished to see a modification spread all over the modified body, being nothing by itself, inhering in the body, and existing only within it; that is why the soul necessarily has the same magnitude as the body. Besides, the whiteness of one part of the body does not share the experience (or, “passion”) experienced by the whiteness of another part; the whiteness of one part is identical, in respect to species, to the whiteness of another part; but it is not identical therewith in respect to number; on the contrary, the part of the soul which is present in the foot is identical with the portion of the soul present in the hand, as may be seen in the percepts thereof. Last, what is identical in the qualities is divisible, while that which is identical in the soul is indivisible; if it be said to divide, it is in this sense that it is present everywhere. [Ennead VI,4 (22) 1]

In view of these facts, let us, starting from the very beginning, explain in a clear and plausible manner, how the soul, being incorporeal and extended, could, nevertheless, have assumed such an extension, either before the bodies, or in the bodies. If indeed one see that she was capable of assuming extension before the bodies existed, it will be easily understood that she could have done so within the bodies. [Ennead VI,4 (22) 1]

There exists a genuinely universal (Being). The world that we see is no more than its image. This veritably universal (Being) is in nothing; for nothing has proceeded from its existence. What is posterior to this universal (Being) must, to exist, be in it, since it would depend on it, and without it could neither subsist nor move. Do not therefore place our world in this genuinely universal (being) as in a place, if by place you understand the limit of the body containing so far as it contains, or a space which before had, and which still has emptiness for nature. Conceive of the foundation on which our world rests as existing in the (Being) which exists everywhere, and contains it. Conceive their relation exclusively by the mind, setting aside all local nomenclature. Indeed, when one speaks of place, it is only in relation with our visible world; but the universal (being), being the First, and possessing genuine existence, has no need of being in a place, nor in anything whatever. Being universal, it could not fail to support itself, for it fills itself, equals itself, and is where is the universal because it is this itself. What has been built on the universal, being other than it, participates in it, and approaches it, receives strength from it, not by dividing it, but because it finds it in itself, because it approaches it, since the universal (“being”) is not outside of itself; for it is impossible for the essence to be in non-essence; on the contrary, it is non-essence that must subsist in essence, and consequently unite entirely with the whole essence. We repeat, the universal could not separate itself from itself; and if we say that it is everywhere, it is only in this sense that it is in essence, that is, in itself. It is not surprising that what is everywhere is in essence and in itself; for that which is everywhere is in the unity. We, however, positing that the (Being) in question is sense-(existence), believe that it is everywhere here below; and, as the sense-(existence) is great, we wonder how nature (that is, the intelligible essence) can extend in that which has so great a magnitude. In reality, the (Being) which is called great is small; the (Being) which is regarded as small is great, since the whole of it penetrates in every part of all; or rather, our world, by its parts everywhere approaching the universal (Being), finds it everywhere entire, and greater than itself. Consequently, as it would receive nothing more by a greater extension (for, if it were possible, it would thereby exclude itself from the universal Being), it circles around this Being. Not being able to embrace it, nor to pierce into its innermost, it contented itself with occupying a place, and with having a place where it might preserve existence while approaching the universal (Being), which in one sense is present to it, and in another, is not present; for the universal (Being) is in itself, even when something else wishes to unite itself to it. Therefore, approaching it, the body of the universe finds the universal “Being”; having no need of going any farther, it turns around the same thing because the thing around which it turns is the veritably universal (Being), so that in all its parts it enjoys the presence of this whole entire Being. If the universal (Being) were in a place, our world should (instead of having a circular motion), rush towards it in a straight line, touching different parts of this Being by different parts of its own, and find itself on one side distant from it, and on the other side near it. But as the universal (Being) is neither near one place, nor distant from, another, it is necessarily entirely present as soon as it is at all present. Consequently, it is entirely present to each of these things from which it is neither near nor far; it is present to the things that are able to receive it. [Ennead VI,4 (22) 2]

Is the universal (Being) by itself present everywhere? Or does it remain within itself, while from its innermost its powers descend on all things, and is it in this sense that it is regarded as everywhere present? Yes, doubtless. That is why it is said that souls are the rays of this universal (Being), that it is built on itself, and that from it, souls descend into various animals. The things which participate in its unity, incapable as they are of possessing a complete nature conformed to its nature, enjoy the presence of the universal (Being) in this sense that they enjoy the presence of some of its powers. They are not, however, entirely separated from it, because it is not separated from the power which it communicates to each of them. If they do not have more, it is only because they are not capable of receiving more from the presence of the entire whole (Being). Evidently it is always entirely present there where its powers are present. It however remains separated, for if it became the form of any one particular being, it would cease to be universal, to subsist everywhere in itself, and it would be the accident of some other “being.” Therefore, since it belongs to none of these things, even of those that aspire to unite themselves with it, it makes them enjoy its presence when they desire it, and in the measure in which they are capable thereof; but it does not belong to any of them in particular. It is not surprising, therefore, that it should be present in all things, since it is not present in any in a manner such as to belong to it alone. It is also reasonable to assert that, if the soul share the passions of the bodies, it is only by accident, that she dwells in herself, and belongs neither to matter nor to body, that the whole of her illuminates the whole world-body. It is not a contradiction to say that the (Being) which is not present in any place is present to all things each of which is in a place. What, indeed, would be surprising and impossible would be that the universal (Being) could, while occupying a determinate place, be present to things which are in a place, and could at all be present in the sense in which we have explained it. Reason forces us, therefore, to admit that the universal (Being) must, precisely because it does not occupy any place, be entirely present to the things to which it is present; and, since it is present to the universe, be entirely present to each thing; otherwise, one part of it would be here, and another there; consequently, it would be divisible, it would be body. How otherwise could one divide the (“Being”)? Is it its life that shall within it be divided? If it be the totality of the (being) that is life, no part of it would be that. Or will somebody try to divide the Intelligence, so that one of its parts be here, and the other there? In this case, neither of the two parts would be intelligence. Or will the (Being) itself be divided? But if the totality be the (Being), no one part of it would be that. It might be objected that the parts of the bodies are still bodies themselves. But that which is divided is not the body (as such), but a certain body of a certain extent; now each of its parts possesses the form that causes it to be named body; while the form not only does not have some particular extension, but even any kind of extension at all. [Ennead VI,4 (22) 3]

Let us first explain how there can be a plurality of intelligences, souls, and essences. If we consider the things that proceed from the first principles, as they are numbers and not magnitudes, we shall also have to ask ourselves how they fill the universe. This plurality which thus arises from the first principles does not in any way help us to solve our question, since we have granted that essence is multiple because of the difference (of the beings that proceed from it), and not by place; for though it be multiple, it is simultaneously entire; “essence everywhere touches essence,” and it is everywhere entirely present. Intelligence likewise is manifold by the difference (of the intelligences that proceed therefrom), and not by space; it is entire everywhere. It is so also with souls; even their part which is divisible in the bodies is indivisible by its nature. But the bodies possess extension because the soul is present with them; or rather, it is because there are bodies in the sense-world; it is because the power of the Soul (that is universal) which is in them manifests itself in all their parts, that the Soul herself seems to have parts. What proves that she is not divided as they are, and with them, that she is entirely present everywhere, is that by nature she is essentially one and indivisible. Thus, the unity of the Soul does not exclude the plurality of souls, any more than the unity of essence excludes the plurality of (beings), or that the plurality of intelligibles does not disagree with the existence of the One. It is not necessary to admit that the Soul imparts life to the bodies by the plurality of souls, nor that that plurality derives from the extension of the body (of the world). Before there ever were any bodies, there was already one (universal) Soul and several (individual) souls. The individual souls existed already in the universal Soul, not potentially, but each in actuality. The unity of the universal Soul does not hinder the multitude of the individual souls contained within her; the multitude of the individual souls does not hinder the unity of the universal Soul. They are distinct without being separated by any interval; they are present to each other instead of being foreign to each other; for they are not separated from each other by any limits, any more than different sciences are within a single soul. The Soul is such that in her unity she contains all the souls. Such a nature is, therefore, infinite. [Ennead VI,4 (22) 4]

The magnitude of the Soul does not consist in being a corporeal mass; for every corporeal mass is small, and reduces to nothing, if it be made to undergo a diminution. As to the magnitude of the Soul, nothing can be removed from it; and if something were removed, she would not lose anything. Since, therefore, she cannot lose anything, why fear that she should be far from something? How could she be far from something since she loses nothing, since she possesses an eternal nature, and is subject to no leakage? If she were subject to some leakage, she would advance till where she could leak; but as she cannot leak at all (for there is no place where or into which she could leak), she has embraced the universe, or rather, she herself is the universe, and she is too great to be judged according to physical magnitude. We may say that she gives little to the universe; but she gives it all it can receive. Do not consider the universal Being (Essence) as being smaller, or as having a smaller mass (than our universe); otherwise, you would be led to ask yourself how that which is smaller can unite with that which is greater. Besides, one should not predicate comparative smallness of the universal Essence, nor compare, in regard to mass, that which has no mass with that which has; that would be as if somebody said that the science called medicine is smaller than the body of the doctor. Neither attribute to the universal Essence an extent greater (than that of our universe); for it is not in extension that the soul is greater than the body. What shows the veritable magnitude of the soul, is that, when the body increases, the same soul which formerly existed in a smaller mass is present in this whole mass that has become greater; now it would be ridiculous to suppose that the soul increases in the same manner as a corporeal mass. [Ennead VI,4 (22) 5]

Let us return to this question: How can the same principle exist in all things? This question amounts to asking how each of the sense-objects which form a plurality and which occupy different places, can, nevertheless, participate in the same principle; for it is not allowable to divide unity into a multitude of parts; it would be more fitting to reduce the multitude of parts to unity, which could not approach them. But when these parts occupy different places, they have led us to believe that unity likewise is split up, as if the power which dominates and which contains were divided into as many parts as that which is contained. The hand itself (though corporeal), may hold an entire body, such as a piece of wood several feet in length, and other objects. In this case, the force that holds makes itself felt in the whole object that is felt, and does not distribute itself in as many parts as it may contain, though it be circumscribed by the limit of the reach of the hand. Nevertheless, the hand is limited by its own extension, and not by that of the body which is held or suspended. Add to the suspended body some other length, and admitting that the hand can carry it, its force will hold the entire body without dividing into as many parts as it may contain. Now suppose that the corporeal mass of the hand be annihilated, and, nevertheless, allow the force which, before, existed in the hand and held the weight, to persist; will not this same force, indivisible in the totality, be equally indivisible in each of its parts? [Ennead VI,4 (22) 6]

When light emanates from a body it is easy to tell when it shines, because the location of that body is known. But if a being be immaterial, if it have no need of a body, if it be anterior to all bodies, and be founded on itself, or rather if it have no need, as has a body, or resting on any foundation — then, a being endowed with such a nature has no origin from which it is derived, resides in no place, and depends on no body. How could you then say that one of its parts is here, and another is there? For thus it would have an origin from which it had issued, and it would depend from something. We must, therefore, say that if something participate in this being by the power of the universe, it participates in this being entirely, without thereby being changed or divided; for it is a being united to a body that suffers (although often that happens to it only accidentally), and in this respect it may be said that it is passive and divisible, since it is some part of the body, either its passion, or form. As to the (being) which is united to any body, and to which the body aspires to be united, it must in no manner share the passions of the body, as such; for the essential passion of the body, as such, is to divide itself. If, therefore, the body be by nature inclined to divide itself, then is the incorporeal, by nature, indivisible. How, in fact, could one divide that which has no extension? If, therefore, the extended (being) participate in the (being) which has no extension, it participates in this (being) without dividing it; otherwise, this (being) would have extension. Consequently, when you say that the unity (of the universal essence) is in the manifold, you do not say that unity has become manifoldness, but you refer to this unity the manner of existence of the multitude, seeing it in this whole multitude simultaneously. As to this Unity, it will have to be understood that it belongs to no individual, nor to the whole multitude, but that it belongs to itself alone, that it is itself, and that, being itself, it does not fail to support itself. Nor does it possess a magnitude such as of our universe, nor, let alone, such as that of one of the parts of the universe; for it has absolutely no magnitude. How could it have any magnitude? It is the body that should have such magnitude. As to the (being) whose nature is entirely different from that of the body, no magnitude should be ascribed to it. If it have no magnitude, it is nowhere; it is neither here nor there; for if so, it would be in several places. If then the local division suits only the (being) of which one part is here, and the other there, how could the (being) that is neither here nor there be divided? Consequently, the incorporeal (being) must remain indivisible in itself, although the multitude of things aspire to unite itself to it, and succeeds therein. If they aspire to possess it, they aspire to possess it entire, so that if they succeed in participating in that (being), they will participate in that entire (being) so far as their capacity reaches. Nevertheless, the things that participate in this (being) must participate in it as if they did not participate in it, in this sense that it does not belong exclusively to any of them. It is thus that this (being) dwells entirely in itself, and in the things in which it manifests; if it did not remain entire, it would no more be itself, and things would no longer participate in the (being) to which they aspire, but in some other (being) to which they did not aspire. [Ennead VI,4 (22) 8]

(Let us study) the relation of the (world) Soul to bodies. As this relation is of a different kind, it must be understood that the Soul is not partly in herself and partly in the bodies. Simultaneously she dwells entirely within herself, and also projects her image into the multiplicity of the bodies (which reflect her, like mirrors). Suppose that some definite body approach the Soul to receive life from her; it obtains life silently, and thus possesses what already was in other bodies. Indeed, conditions had not been arranged so that a part of the Soul, located in a certain place, should await a body, so as to enter into it. But this part of the Soul which enters into a body, so to speak, existed already in the universe, that is to say, in herself, and she continued to exist in herself although she seemed to have descended here below. How indeed should the Soul descend here below? Therefore, if she did not descend here below, if she only manifested her actual presence, without awaiting the body which was to participate in her, evidently the Soul dwells in herself simultaneously with becoming present to this body. Now, if the Soul dwell in herself at the same time as she becomes present to this body (for it is not the Soul that came into this body), it is the body which entered into her; it is the body which, being till then outside of veritable Essence, entered into it, and passed into the world of life. Now the world of life was all in itself, without extension, and, therefore, without division. The body has, therefore, not entered into it as in something that possesses extension. It commenced by participating, not in one of the parts of the world of life, but in this whole world, entirely. If an additional body should also enter it, it will participate in it in the same way (entirely). Consequently, if we said that the world of life is entire in these bodies, it is similarly entire in each of them. It is, therefore everywhere the same, and numerically one, without dividing, but always present entire. [Ennead VI,4 (22) 12]

Whence originates extension in our universe, and in the animals? The world of life contains no extension. Sensation, whose testimony hinders us from believing what we are told in this respect, reveals to us here and there the world of life. But reason tells us that, if we see it thus, it is not that it is really extended here and there, but that all that possesses extension has participated in the world of life, which, however, has no extension. [Ennead VI,4 (22) 13]

When a being participates in something, evidently it does not participate in itself; for thus it would really participate in nothing, and would remain what it was. The body that participates in something must, therefore, not participate in corporeal nature, for it possesses it already. Consequently, the body will not participate in the corporeal nature, any more than a magnitude would participate in a magnitude, which it possesses already. Let us even admit that a magnitude be increased, yet on that account alone it would not participate in magnitude; for a two-foot object does, not become a three-foot object, but the object which first had a certain quantity merely changes to some other quantity; otherwise two would become three. Thus, since that which has extension and is divided participates in genus that is different, and even very different, the thing in which it participates must neither be divided, nor have extension; but have absolutely no kind of quantity. Consequently, the (being) which everywhere is present entire must be present, though remaining indivisible. It is not indivisible merely because it is small, which would not make it any less divisible; only, it would no more be proportioned to the universe, it would not spread in the corporeal mass in the degree that it increases. Neither does it resemble a point, but it includes an infinity of points; consequently what you might suppose was a point would include an infinity of (separate) points, and could not be continuous, nor, consequently, proportion itself to the universe. If then every corporeal mass possess the (being) which is present everywhere, it must possess it entire in all the parts that compose it. [Ennead VI,4 (22) 13]

In order to clear up this point, the following illustration has been much used. Let us imagine a multitude of rays, which start from a single centre; and you will succeed in conceiving the multitude begotten in the intelligible world. But, admitting this proposition, that things begotten in the intelligible, and which are called multitude, exist simultaneously, one observation must be added: in the circle, the rays which are not distinct may be supposed to be distinct, because the circle is a plane. But there, where there is not even the extension proper to a plane, where there are only potentialities and beings without extension, all things must be conceived as centres united together in a single centre, as might be the rays considered before their development in space, and considered in their origin, where, with the centre, they form but a single and same point. If now you imagine developed rays, they will depend from the points from where they started, and every point will not be any the less a centre, as nothing will separate it from the first centre. Thus these centres, though united to the first centre, will not any the less have their individual existence, and will form a number equal to the rays of which they are the origins. As many rays as will come to shine in the first centre, so many centres will there seem to be; and, nevertheless, all together will form but a single one. Now if we compare all intelligible entities to centres, and I mean centres that coincide in a single centre and unite therein, but which seem multiple because of the different rays which manifest, without begetting them, such rays could give us some idea of the things by the contact of which intelligible being seems to be manifold and present everywhere. [Ennead VI,5 (23) 5]

Let us return to our subject. We were seeking how we might attain the Good with our souls. The Good that you attain is not different from the one that I myself attain; it is the same. And when I say that it is the same, I do not mean that from the Good descended upon us both different things, so that the Good would remain somewhere on high, while His gifts descended down here; on the contrary, I mean that He who gives is present to those who receive, so that these may veritably receive; I mean besides that He gives His gifts to beings who are intimately united with Him, and not to beings who might be foreign to Him; for intellectual gifts cannot be communicated in a local manner. One even sees different bodies, in spite of the distance that separates them, receiving the same gifts, because the gift granted, and the effect produced tend to the same result; much more, all the actions and passions which produce themselves in the body of the universe are contained within it, and nothing comes to it from without. Now if a body, which by its nature as it were scatters itself (because it is in a perpetual flowing wastage), nevertheless, receives nothing from without, how would a being that has no extension retain nothing from without, how would a being that has no extension retain something from without? Consequently, as all are contained in one and the same Principle, we see the good, and we altogether touch it by the intelligible part of our nature. [Ennead VI,5 (23) 10]

Besides, the intelligible world has much more unity than the sense-world; otherwise, there would be two sense-worlds, since the intelligible sphere would not differ from the sense-sphere if the former did not have more unity than the latter. In respect to unity, therefore, the intelligible world would surpass the sense-sphere. It would indeed be ridiculous to admit that one of the two spheres would have an extension suitable to its nature; while the other, without any necessity, would extend, and would withdraw from its centre. Why would not all things conspire together to unity, in the intelligible world? There, indeed, no one thing hinders another by impenetrability, any more than the conception that you have of a notion or of a proposition in no wise hinders the one that I have in myself, any more than different notions mutually hinder each other in the same soul. To the objection that such a union could not take place for (separate) beings, an affirmative answer may be given, but only if one dare to suppose that veritable beings are corporeal masses. [Ennead VI,5 (23) 10]

How can the intelligible, which has no extension, penetrate into the whole body of the universe, which has no such extension? How does it remain single and identical, and how does it not split up? This question has been raised several times, and we sought to answer it, so as to leave no uncertainty. We have often demonstrated that the things are thus; nevertheless, it will be well to give some further convincing proofs, although we have already given the strongest demonstration, and the most evident one, by teaching the quality of the nature of the intelligible, explaining that it is not a vast mass, some enormous stone which, located in space, might be said to occupy an extension determined by its own magnitude, and would be incapable of going beyond its limits; for its mass and its power would be measured by its own nature, which is that of a stone. (The intelligible Essence, on the contrary,) being the primary nature, has no extension that is limited or measured, because it itself is the measure of the sense-nature; and because it is the universal power without any determinate magnitude. Nor is it within time, because the time is continually divided into intervals, while eternity dwells in its own identity, dominating and surpassing time by its perpetual power, though this seemed to have an unlimited course. Time may be compared to a line which, while extending indefinitely, ever depends from a point, and turns around it; so, that, into whatever place it advances, it always reveals the immovable point around which it moves in a circle. If, by nature, time be in the same relation (as is this line with its centre), and if the identical Essence be infinite by its power as well as by its eternity, by virtue of its infinite power it will have to produce a nature which would in some way be parallel to this infinite power, which rises with it, and depends from it, and which finally, by the movable course of time, tries to equal this power which remains movable in itself. But then even this power of the intelligible Essence remains superior to the universe, because the former determines the extension of the latter. [Ennead VI,5 (23) 11]

When, therefore, you will have embraced the universal Essence and will be resting within it, you must not seek anything beyond it. Otherwise, you will be withdrawing from it; and, directing your glance on something foreign, you will fail to see what is near you. If, on the contrary, you seek nothing beyond it, you will be similar to a universal Essence. How? You will be entirely united to it, you will not be held back by any of its parts, and you will not even be saying, “This is what I am!” By forgetting the particular being that you are, you will be becoming the universal Being. You had, indeed, already been the universal Essence, but you were something besides; you were inferior by that very circumstance; because that which you possessed beyond the universal Essence did not proceed from the universal Essence, for nothing can be added thereto; but rather had come from that which is not universal. When you become a determined being, because you borrow something from non-essence, you cease being universal. But if you abandon non-essence, you will be increasing yourself. It is by setting aside all the rest that the universal Essence may be discovered; for essence does not reveal itself so long as one remains with the rest. It does not approach you to make you enjoy its presence; it is you who are straying from it, when it ceases to be present. Besides, when you stray away, you are not actually straying away from it, as it continues to be present; you are not distant from it, but, though being near Essence, you have turned away from it. Thus even the other divinities, though they be present to many human beings, often reveal themselves only to some one person, because he alone is able (or, knows how) to contemplate them. These divinities (according to Homer), assume many different forms, and haunt the cities. But it is to the supreme Divinity that all the cities, all the earth, and all the heavens turn; for the universe subsists by Him, and in Him. From Him also do all real essences derive their existence; it is from Him that all depend, even the (universal) Soul, and the universal Life; it is to His infinite unity that they all turn as to their goal; a unity which is infinite precisely because it has no extension. [Ennead VI,5 (23) 12]

Let us return to matter as a substrate, and then to what is said to exist within it. This will lead us to see that it consists of nonentity, and that it is impassible. Matter is incorporeal because the body exists only as posterior thereto, because it is a composite of which it constitutes an element. It is called incorporeal because existence and matter are two things equally distinct from the body. Not being soul, matter is neither intelligence, nor life, nor (“seminal) reason,” nor limit. It is a kind of infinity. Neither is it an (active) power; for what could it produce? Since matter is none of the above-mentioned things, it could not be called existence. It deserves only the name “nonentity” yet not even in the sense in which we may say that movement or rest are not existence; matter is real nonentity. It is an image and phantom of extension, it is aspiration to a form of hypostatic existence. Its perseverance is not in rest (but in change). By itself, it is invisible, it escapes whoever wishes to see it. It is present when you do not look at it, it escapes the eye that seeks it. It seems to contain all the contraries: the large and small, the more and the less, the lack and excess. It is a phantom equally incapable of remaining or escaping; for matter does not even have the strength of avoiding (form), because it has received no strength from intelligence, and it is the lack of all existence. Consequently, all its appearances are deceptions. If we represent matter as being greatness, it immediately appears as smallness; if we represent it as the more, we are forced to recognize it as the less. When we try to conceive of its existence, it appears as nonentity; like all the things it contains, it is a fugitive shadow, and a fleeting game, an image within an image. It resembles a mirror, in which one might see the reflections of objects external to it; the mirror seems to be filled, and to possess everything, though really containing nothing. [Ennead III,6 (26) 7]

The (“seminal) reason,” on approaching matter, and giving it the extension it desired, made of it a magnitude. The “reason” drew from itself the magnitude to give it to the matter, which did not possess it, and which did not, merely on that account, acquire size; otherwise the magnitude occurring within it would be magnitude itself. If we remove form from matter, the substrate that then remains neither seems nor is large (since magnitude is part of form). If what is produced in matter be a certain magnitude, as for instance a man or a horse, the magnitude characteristic of the horse disappears with the form of the horse. If we say that a horse cannot be produced except in a mass of determined size, and that this magnitude remained (when the form of the horse disappeared), we would answer that what would then remain would not be the magnitude characteristic of the horse, but the magnitude of mass. Besides, if this mass were fire or earth, when the form of fire or that of earth disappeared, the magnitude of the fire or of the earth would simultaneously disappear. Matter therefore possesses neither figure nor quantity; otherwise, it would not have ceased being fire to become something else, but, remaining fire, would never “become” fire. Now that it seems to have become as great as this universe, if the heavens, with all they contain were annihilated, all quantity would simultaneously disappear out of matter, and with quantity also the other inseparable qualities will disappear. Matter would then remain what it originally was by itself; it would keep none of the things that exist within it. Indeed, the objects that can be affected by the presence of contrary objects can, when the latter withdraw, keep some trace of them; but that which is impassible retains nothing; for instance, the air, when penetrated by the light, retains none of it when it disappears. That that which has no magnitude can become great is not any more surprising than that which has no heat can become hot. Indeed, for matter to be matter is something entirely different from its being magnitude; magnitude is as immaterial as figure. Of matter such as it really is we should say that it is all things by participation. Now magnitude forms part of what we call all things. As the bodies are composite, magnitude is there among the other qualities, without however being determinate therein. Indeed, the “reason” of the body also contains magnitude. On the contrary, matter does not even contain indeterminate magnitude, because it is not a body. [Ennead III,6 (26) 16]

Neither is matter magnitude itself; for magnitude is a form, and not a residence; it exists by itself (for matter cannot even appropriate the images of beings). Not even in this respect, therefore, is matter magnitude. But as that which exists in intelligence or in the soul desired to acquire magnitude, it imparted to the things that desired to imitate magnitude by their aspiration or movement, the power to impress on some other object a modification analogous to their own. Thus magnitude, by developing in the procession of imagination, dragged along with itself the smallness of matter, made it seem large by extending it along with itself, without becoming filled by that extension. The magnitude of matter is a false magnitude, since matter does not by itself possess magnitude, and by extending itself along with magnitude, has shared the extension of the latter. Indeed as all intelligible beings are reflected, either in other things in general, or in one of them in particular, as each of them was large, the totality also is, in this manner, great (?). Thus the magnitude of each reason constituted a particular magnitude, as, for instance, a horse, or some other being. The image formed by the universal reflection of intelligible beings became a magnitude, because it was illuminated by magnitude itself. Every part of it became a special magnitude; and all things together seemed great by virtue of the universal form to which magnitude belongs. Thus occurred the extension of each thing towards each of the others, and towards their totality. The amount of this extension in form and in mass necessarily depended on the power, that transformed what in reality was nothing to an appearance of being all things. In the same manner color, that arose out of what is not color, and quality, that arose out of what is not quality, here below were referred to by the same name as the intelligible entities (of which they are the images). The case is similar for magnitude, which arose out of that which has none, or at least out of that magnitude that bears the same name (as intelligible magnitude). [Ennead III,6 (26) 17]

Sense-objects, therefore, occupy a rank intermediary between matter and form itself. They no doubt appear, because they are derived from intelligible entities; but they are deceptive, because the matter in which they appear does not really exist. Each of them becomes a magnitude, because it is extended through the power of the entities that appear here below, and which locate themselves here. Thus we have, in every direction, the production of an extension; and that without matter undergoing any violence, because (potentially) it is all things. Everything produces its own extension by the power it derives from the intelligible entities. What imparts magnitude to matter is the appearance of magnitude, and it is this appearance that forms our earthly magnitude. Matter yields itself everywhere entirely to the extension it thus, by the universal appearance of magnitude, is forced to take on. Indeed, by its nature, matter is the matter of everything, and consequently is nothing determinate. Now that which is nothing determinate by itself could become its opposite (of what it is), and even after thus having become its own opposite, it is not yet really this opposite; otherwise this opposite would be its nature. [Ennead III,6 (26) 17]

Let us now suppose that a conception of magnitude were possessed by some being which would have the power not only to be in itself, but also to produce itself externally; and that it should meet a nature (such as matter) that was incapable of existing within intelligence, of having a form, of revealing any trace of real magnitude, or any quality. What would such a being do with such a power? It would create neither a horse nor an ox; for other causes (the “seminal) reasons” would produce them. Indeed, that which proceeds from magnitude itself cannot be real magnitude; it must therefore be apparent magnitude. Thus, since matter has not received real magnitude, all it can do is to be as great as its nature will permit; that is, to seem great. To accomplish that, it must not fail anywhere; and, if it be extended, it cannot be a discrete quantity, but all its parts must be united, and absent in no place. Indeed, it was impossible for a small mass to contain an image of magnitude that would equal the real magnitude, since it is only an image of magnitude; but, carried away with the hope of achieving the magnitude to which it aspired, this image extended to its limit, along with matter, which shared its extension because matter could not follow it. That is how this image of magnitude magnified what was not great, without however making it seem really great, and produced the magnitude that appears in its mass. None the less does matter preserve its nature, though it be veiled by this apparent magnitude, as if by a garment with which it covered itself when it followed the magnitude that involved it in its extension. If matter ever happened to be stripped of this garment, it would nevertheless remain what itself was before; for it possesses magnitude only in so far as form by its presence makes it great. [Ennead III,6 (26) 18]

Further, treating of incorporeal things, “parts” is taken in several senses. Speaking of numbers, we may say that two is a part of ten (referring exclusively to abstract numbers). We may also say that a certain extension is a part of a circle or line. Further, a notion is said to be a part of science. [Ennead IV,3 (27) 2]

If there were no body, the soul could not have any procession, since the body is the natural locality of her development. As the soul must extend, she will beget a receiving locality, and will, consequently, produce the body. The soul’s rest is based, and depends for growth on (the intellectual category of) rest itself. The soul thus resembles an immense light which weakens as it becomes more distant from its source, so that at the extremity of its radiation, it has become no more than an adumbration. However, the soul evidently gave a form to this adumbration from the very beginning of things. It was, indeed, by no means suitable that what approached the soul should in no way participate in reason; consequently there came to be an adumbration of reason in (matter), this adumbration being the soul. The universe thus became a beautiful and varied dwelling, which was not deprived of the presence of the universal Soul by her not totally incorporating within it. She judged that the whole universe was worthy of her care, and she thus gave it as much “being” and beauty as it was able to receive, without herself losing any of it, because she manages the world while herself remaining above it in the intelligible sphere. By so animating it, she thus grants it her presence, without becoming its property; she dominates it, and possesses it, without being, thereby, dominated or possessed. The universe, indeed, is in the containing Soul, and participates therein entirely. (The universe is in the Soul as is) a net in the sea, on all sides penetrated and enveloped by life, without ever being able to appropriate it. So far as it can, this net extends along with the sea, for none of its parts could be elsewhere than it is. By nature the universal Soul is immense, because her magnitude is not definite; so that by one and the same power she embraces the entire body of the world, and is present throughout the whole extension. Without it, the world-Soul would make no effort to proceed into extension, for by herself she is all that it is her nature to be. The magnitude of the universe therefore is determined by that of the location of the Soul; and the limits of its extent are those of the space within which it is animated by her. The extension of the adumbration of the Soul is therefore determined by that of the “reason” which radiates from this focus of light; and on the other hand, this “reason” was to produce such an extension as its nature urged it to produce. [Ennead IV,3 (27) 9]

Now let us return to that which has always been what it is. Let us, in thought, embrace all beings: air, light, sun, and moon. Let us then consider the sun, the light, and so forth, as being all things, without ever forgetting that there are things that occupy the first rank, others the second, or the third. Let us, at the summit of this series of beings, conceive of the universal Soul as subsisting eternally. Let us then posit that which holds the first rank after her, and thus continue till we arrive at the things that occupy the last rank, and which, as it were, are the last glimmerings of the light shed by the soul. Let us represent these things as an extension first dark, and then later illuminated by the form which comes to impress itself on an originally dark background. This background is embellished by reason in virtue of the entire universal Soul’s independent power of embellishing matter by means of reasons, just as the “seminal reasons” themselves fashion and form animals as microcosms. According to its nature, the Soul gives a form to everything she touches. She produces without casual conception, without the delays of deliberation, or of those of voluntary determination. Otherwise, she would not be acting according to her nature, but according to the precepts of a borrowed art. Art, indeed, is posterior to nature. Art imitates by producing obscure and feeble imitations of nature’s works, toys without value or merit; and besides, art makes use of a great battery of apparatus to produce these images. On the contrary, the universal Soul, dominating bodies by virtue of her nature (“being”) makes them become and be what she desires; for the things themselves that exist since the beginning cannot raise resistance to her will. In inferior things, as the result of mutual obstruction, matter does not receive the exact form that the (“seminal) reason” contains in germ. But as the universal Soul produces the universal form, and as all things are therein co-ordinated, the work is beautiful because it is realized without trouble or obstacle. In the universe there are temples for the divinities, houses for men, and other objects adapted to the needs of other beings. What indeed could the Soul create if not what she has the power to create? As fire warms, as snow cools, the soul acts now within herself, and then outside of herself, and on other objects. The action which inanimate beings elicit from themselves slumbers, as it were, within them; and that which they exert on others consists in assimilating to themselves that which is capable of an experience. To render the rest similar to itself, is indeed the common characteristic of every being. The soul’s power of acting on herself and on others is a vigilant faculty. It communicates life to beings who do not have it in themselves, and the life communicated to them is similar to the life of the soul herself. Now as the soul lives in reason, she imparts a reason to the body, which reason is an image of the one she herself possesses. Indeed, what she communicates to the bodies is an image of life. She also imparts to them the shapes whose reasons she contains. Now as she possesses the reasons of all things, even of the divinities, the world contains all things. [Ennead IV,3 (27) 10]

It may again be objected that it is indeed the soul that remembers; but only because she is resident in the body, and is not pure; she must be affected in some particular manner to be able to impress the body with the forms of sense-objects; her seat must be in the body to receive these forms, and to preserve them. But to begin with, these forms could not have any extension; then they could not be either (Stoic) seal-imprints, or impressions; for in the soul there is no impulsion, nor any imprint similar to that of a seal on wax, and the operation itself by which it perceives sense-objects is a kind of thought (or intellection). Indeed, it would be impossible to speak of an impression in the act of thought. Thought has no need of the body or a corporeal quality. It is besides necessary for the soul to remember her movements, as for instance, her desires which have not been satisfied, and whose object the body has not attained; for what could the body tell us of an object which the body has not yet reached? (Speaking of thoughts), how could the soul, conjointly with the body, remember things which the body, by its very nature, could absolutely not know? [Ennead IV,3 (27) 26]

When the soul departs from the intelligible world; when instead of continuing to form a unity with it, she wishes to become independent, to become distinct, and to belong to herself; when she inclines towards the things here below, then she remembers herself. The memory of intelligible things hinders her from falling, that of terrestrial things makes her descend here below, and that of celestial things makes her dwell in heaven. In general, the soul is and becomes what she remembers. Indeed, to remember is to think or imagine; now, to imagine is not indeed to possess a thing, but to see it and to conform to it. If the soul see sense-things, by the very act of looking at them she somehow acquires some extension. As she is things other than herself only secondarily, she is none of them perfectly. Placed and established on the confines of the sense and intelligible worlds, she may equally move towards either. [Ennead IV,4 (28) 3]

The Soul, such as we are considering her here, is something venerable; she resembles a circle which is united to the centre, and which develops without leaving (its base of operations, the centre), thus forming an undivided extension. To gain a conception of the order of the three principles, the Good may be considered as a centre, the Intelligence as an immovable circle, and the Soul as an external movable circle impelled by desire. [Ennead IV,4 (28) 16]

The first Principle is infinite because He is one, and nothing in Him could be limited by anything whatever. Being one, He is not subject to measure or number. He is limited neither by others nor by Himself, since He would thus be double. Since He has neither parts nor form, He has no figure. Not by mortal eyes therefore must you seek to grasp this principle such as reason conceives of Him. Do not imagine that He could be seen in the way that would be imagined by a man who believes that everything is perceived by the senses, and thus annihilate the principle which is the supreme reality. The things to which the common people attribute reality do not possess it; for that which has extension has less reality (than that which has no extension); now the First is the principle of existence, and is even superior to “being.” You must therefore admit the contrary of that which is asserted by those commonplace persons; otherwise, you will be deprived of the divinity. You would resemble such men as in the sacred festivals gorge themselves with the foods from which one should abstain on approaching the divinities, and who, regarding this enjoyment as more certain than the contemplation of the divinity whose festival is being celebrated, depart without having participated in the mysteries. Indeed as the divinity does not reveal Himself in these mysteries, these gross men doubt His existence, because they consider real only what is visible by the physical eyes. Thus people who would spend their whole life in slumber would consider as certain and real the things they would see in their dreams; if they were to be waked and forced to open their eyes, they would place no credence in the testimony of their eyes, and would plunge themselves again into their somnolence. [Ennead V,5 (32) 11]

(To solve this problem) let us begin by setting aside sensation, and let us contemplate Intelligence by our intelligence exclusively. Above all, let us clearly understand that, as in us life and intelligence do not consist of a corporeal mass, but in a power without mass, likewise veritable “Being” is deprived of all corporeal extension, and constitutes a power founded on itself. It does not indeed consist in something without force, but in a power sovereignly vital and intellectual, which possesses life in the highest degree, intelligence, and being. Consequently, whatever touches this power participates in the same characteristics according to the manner of its touch; in a higher degree, if the touch be close; in a lower degree, if the touch be distant. If existence be desirable, the completest existence (or, essence) is more desirable still. Likewise, if intelligence deserve to be desired, perfect Intelligence deserves to be desired above everything; and the same state of affairs prevails in respect to life. If then we must grant that the Essence is the first, and if we must assign the first rank to Essence, the second to Intelligence, and the third to the Organism, as the latter seems already to contain all things, and Intelligence justly occupies the second rank, because it is the actualization of “Being” — then number could not enter into the Organism, for before the organism already existed one and two (“Being” and Intelligence). Nor could number exist in Intelligence, for before Intelligence was “Being,” which is both one and manifold. (Number therefore must exist, or originate, in the primary Being.) [Ennead VI,6 (34) 8]

In what sense does the number which is within us (before we enumerate) have a mode (of existence) other (than the one we produce in enumeration)? Because it is the number constitutive of our being, which, as Plato says, participates in number and harmony, and is a number and harmony; for the soul is said to be neither a body nor an extension; she therefore is a number, since she is a being. The number of the body is a being of the same nature as the body; the number of the soul consists in the beings which are incorporeal like souls. Then, for the intelligible entities, if the animal itself be plurality, if it be a triad, the triad that exists in the animal is essential. As to the triad which subsists, not in the animal, but in essence, it is the principle of being. If you enumerate the animal and the beautiful, each of these two in itself is a unity; but (in enumerating them), you beget number in yourself, and you conceive a certain quantity, the pair. If (like the Pythagoreans) you say that virtue is a group of four, or tetrad, it is one so far as its parts (justice, prudence, courage, and temperance) contribute to the formation of a unity; you may add that this group of four, or tetrad, is a unity, so far as it is a kind of substrate; as to you, you connect this tetrad with the one that is inside of you. [Ennead VI,6 (34) 16]

What then is the intelligible line, and where does it exist? It is posterior to number; for unity appears in the line, since this starts from the unity (of the point), and because it has but one dimension (length); now the measure of dimension is not a quantative (entity). Where then does the intelligible Line exist? It exists only in the intelligence that defines it; or, if it be a thing, it is but something intellectual. In the intelligible world, in fact, everything is intellectual, and such as the thing itself is. It is in this same world, likewise, where is made the decision where and how the plane, the solid, and all other figures are to be disposed. For it is not we who create the figures by conceiving them. This is so because the figure of the world is anterior to us, and because the natural figures which are suitable to the productions of nature, are necessarily anterior to the bodies, and in the intelligible world exist in the state of primary figures, without determining limits, for these forms exist in no other subjects; they subsist by themselves, and have no need of extension, because the extension is the attribute of a subject. [Ennead VI,6 (34) 17]

Everywhere, therefore, in essence, is a single (spherical) figure, and each of these figures (which this single figure implicitly contained) has become distinct, either in, or before the animal. When I say that each figure has become distinct, I do not mean that it has become an extension, but that it has been assigned to some particular animal; thus, in the intelligible world, each body has been assigned its own characteristic figure, as, for instance, the pyramid to the fire. Our world seeks to imitate this figure, although it cannot accomplish this, because of matter. There are other figures here below that are analogous to the intelligible figures. [Ennead VI,6 (34) 17]

Some hold that distant objects seem to us lesser only because they are seen under a smaller visual angle. Elsewhere we have shown that this is wrong; and here we shall limit ourselves to the following considerations. The assertion that a distant object seems less because it is perceived under a smaller visual angle supposes that the rest of the eye still sees something outside of this object, whether this be some other object, or something external, such as the air. But if we suppose that the eye sees nothing outside of this object, whether this object, as would a great mountain, occupy the whole extent of the glance, and permit nothing beyond it to be seen; or whether it even extend beyond the sweep of the glance on both sides, then this object should not, as it actually does, seem smaller than it really is, even though it fill the whole extension of the glance. The truth of this observation can be verified by a mere glance at the sky. Not in a single glance can the whole hemisphere be perceived, for the glance could not be extended widely enough to embrace so vast an expanse. Even if we grant the possibility of this, and that the whole glance embraces the whole hemisphere; still the real magnitude of the heaven is greater than its apparent magnitude. How then by the diminution of the visual angle could we explain the smallness of the apparent magnitude of the sky, on the hypothesis that it is the diminution of the visual angle which makes distant objects appear smaller? [Ennead II,8 (35) 2]

It might be objected that it is inconsistent to consider the present only, exclusive of the past (as in the case of happiness), when we do not do so in respect of time. For the addition of past to present unquestionably lengthens time. If then we may properly say that time becomes longer, why may we not say the same of happiness? — Were we to do so, we would be applying happiness to divisions of time, while it is precisely to bring out the indivisibility of happiness that it is considered to be measured by the present exclusively. While considering time, in respect of things that have vanished, such as, for instance, the dead, it is perfectly reasonable to reckon the past; but it would be unreasonable to compare past happiness with present happiness in respect to duration, because it would be treating happiness as something accidental and temporary. Whatever might be the length of time that preceded the present, all that can be said of it is, that it is no more. To regard duration while considering happiness is to try to disperse and fraction something that is one and indivisible, something that exists only in the present. That is why time is called an image of eternity, inasmuch as it tends to destroy eternity’s permanence through its own dispersion. By abstracting permanence from eternity, and appropriating it, time destroys eternity; for a short period, permanence may survive in association with time; but as soon as it becomes fused with it, eternity perishes. Now as happiness consists in the enjoyment of a life that is good, namely in that which is proper to Essence (in itself), because none better exists, it must, instead of time, have, as a measure, eternity itself, a principle which admits neither increase nor diminution, which cannot be compared to any length, whose nature it is to be indivisible, and superior to time. No comparison, therefore, should be instituted between essence and non-essence, eternity and time, the perpetual and the eternal; nor should extension be predicated of the indivisible. If we regard existence of Essence in itself, it will be necessary to regard it entire; to consider it, not as the perpetuity of time, but as the very life of eternity, a life which instead of consisting of a series of centuries, exists entire since all centuries. [Ennead I,5 (36) 7]

As to the (Peripatetic) philosophers who assert that in a mixture only the qualities mingle, while the material extension of both bodies are only in juxtaposition, so long as the qualities proper to each of them are spread throughout the whole mass, they seem to establish the rightness of their opinion by attacking the doctrine which asserts that the two bodies mutually interpenetrate in mixture. (They object) that the molecules of both bodies will finally lose all magnitude by this continuous division which will leave no interval between the parts of either of the two bodies; for if the two bodies mutually interpenetrate each other in every part, their division must become continuous. Besides, the mixture often occupies an extent greater than each body taken separately, and as great as if mere juxtaposition had occurred. Now if two bodies mutually interpenetrate totally, the resulting mixture would occupy no more place than any one of them taken separately. The case where two bodies occupy no more space than a single one of them is by these philosophers explained by the air’s expulsion, which permits one of the bodies to penetrate into the pores of the other. Besides, in the case of the mixture of two bodies of unequal extent, how could the body of the smaller extend itself sufficiently to spread into all the parts of the greater? There are many other such reasons. [Ennead II,7 (37) 1]

In the case where the compound occupies more space than each element separately, it might (though with little probability), be asserted, that, since every body, along with its other qualities, implies size, a local extension must take place. No more than the other qualities could this increase perish. Since, out of both qualities, arises a new form, as a compound of the mixture of both qualities; so also must another size arise, the mixture combining the size out of both. Here (the Peripatetics) might answer (the Stoics): “If you assert a juxtaposition of substances, as well as of the masses which possess extension, you are actually adopting our opinions. If however one of the masses, with its former extension, penetrate the entire mass of the other, the extension, instead of increasing, as in the case where one line is added to another by joining their extremities, will not increase any more than when two straight lines are made to coincide by superimposing one on the other.” [Ennead II,7 (37) 1]

The case of the mixture of a smaller quantity with a greater one, such as of a large body with a very small one, leads (the Peripatetics) to consider it impossible that the great body should spread in all the parts of the small one. Where the mixture is not evident, the (Peripatetics) might claim that the smaller body does not unite with all the parts of the greater. When however the mixture is evident, they can explain it by the extension of the masses, although it be very doubtful that a small mass would assume so great an extension, especially when we attribute to the composite body a greater extent, without nevertheless admitting its transformation, as when water transforms itself into air. [Ennead II,7 (37) 1]

What happens when a mass of water transforms itself into air? This question demands particular treatment; for how can the transformed element occupy a greater extension? (We shall not try to explain it on either the Peripatetic or Stoic principles) because we have sufficiently developed above the numerous reasons advanced by both those schools. We had better now consider which of the two systems we ourselves might adopt, and on which side lies reason. Besides, we should consider whether, besides these both, there be not place for a third opinion. [Ennead II,7 (37) 2]

When water flows through wool, or when paper allows water to filter through it, why does not the whole of the water pass through these substances (without partly remaining within them)? If the water remain therein partially, we shall not be able to unite the two substances or masses. Shall we say that the qualities alone are confused (or, mingled)? Water is not in juxtaposition with the paper, nor is lodged in its pores; for the whole paper is penetrated thereby, and no portion of the matter lacks that quality. If matter be united to quality everywhere, water must everywhere be present in the paper. If it be not water that everywhere is present in the paper, but only (humidity which is) the quality of the water, where then is the water itself? Why is not the mass the same? The matter that has insinuated itself into the paper extends it, and increases its volume. Now this augmentation of volume implies augmentation of mass; and the latter implies that the water has not been absorbed by the book, and that the two substances occupy different places (and do not interpenetrate each other). Since one body causes another to participate in its quality, why would it not also make it participate in its extension? By virtue of this union with a different quality, one quality, united with a different one, cannot, either remain pure, or preserve its earlier nature; it necessarily becomes weaker. But one extension, added to another extension, does not vanish. [Ennead II,7 (37) 2]

Since all things have been embellished by Him who is above them, and have received their light from Him; since Intelligence derives from Him the splendor of its intellectual actualization; by which splendor it illuminates nature; since from Him also the soul derives her vital power, because she finds in Him an abundant source of life; consequently, Intelligence has risen to Him, and has remained attached to Him, satisfied in the bliss of His presence; consequently also the soul, to the utmost of her ability, turned towards Him, for, as soon as she has known Him and seen Him, she was, by her contemplation, filled with bliss; and, so far as she could see Him, she was overwhelmed with reverence. She could not see Him without being impressed with the feeling that she had within herself something of Him; it was this disposition of hers that led her to desire to see Him, as the image of some lovable object makes one wish to be able to contemplate it oneself. Here below, lovers   try to resemble the beloved object, to render their body more gracious, to conform their soul to their model, by temperance and the other virtues to remain as little inferior as possible to Him whom they love, for fear of being scorned by Him; and thus they succeed in enjoying intimacy with Him. Likewise, the soul loves the Good, because, from the very beginning she is provoked to love Him. When she is ready to love, she does not wait for the beauties here below to give her the reminiscence of the Good; full of love, even when she does not know what she possesses, she is ever seeking; and inflamed with the desire to rise to the Good, she scorns the things here below. Considering the beauties presented by our universe, she suspects that they are deceptive, because she sees them clothed upon with flesh, and united to our bodies, soiled by the matter where they reside, divided by extension, and she does not recognize them as real beauties, for she cannot believe that the latter could plunge into the mire of these bodies, soiling and obscuring themselves. Last, when the soul observes that the beauties here below are in a perpetual flux, she clearly recognizes that they derive this splendor with which they shine, from elsewhere. Then she rises to the intelligible world; being capable of discovering what she loves, she does not stop before having found it, unless she be made to lose her love. Having arrived there, she contemplates all the true beauties, the true realities; she refreshes herself by filling herself up with the life proper to essence. She herself becomes genuine essence. She fuses with the Intelligible which she really possesses, and in its presence she has the feeling (of having found) what she was seeking so long. [Ennead VI,7 (38) 31]

Besides, we shall have to examine whether the earth be invisible without fire, and the fire intangible without the earth. Were this the case, nothing would possess its own proper being. All things would be mixed; each would reclaim its name only by the element preponderating in it; for it has been claimed that the earth could not exist without the humidity of water, which alone keeps all its parts united. Even were this granted, it would, none the less, remain absurd to say that each of these elements is something, while claiming that it does not possess any characteristically individual constitution, except by its union with the other elements, which, nevertheless, would not, any the more, exist individually, each in itself. What reality, indeed, would inhere in the nature or being of the earth, if none of its parts were earth except because the water that operated as a bond? Besides, with what could water unite without the preliminary existence of an extension whose parts were to be bound together for the formation of a continuous whole? The existence of an extension, however small it be, will imply the self-existence of earth, without the assistance of water; otherwise, there would be nothing for water to bind together. Nor would the earth have any need of air, since the air exists before the observation of any change within it. Nor is fire any more necessary to the constitution of the earth; fire only serves in making it visible, like all other objects. It is indeed reasonable to assert that it is fire which renders objects visible, and it is a mistake to state that “one sees darkness,” which cannot be seen any more than silence can be heard. Besides, there is no necessity for fire to be in earth; light suffices (to make it visible). Snow, and many other very cold substances are, without any fire, very brilliant — that is, unless we say that the fire approached them, and colored them before leaving them. [Ennead II,1 (40) 6]

It may be asked however, why, if memory be a “faculty” (a potentiality) or disposition, we do not immediately remember what we have learned, and why we need some time to recall it? It is because we need to master our own faculty, and to apply it to its object. Not otherwise is it with our other faculties, which we have to fit to fulfil their functions, and though some of them may react promptly, others also may need time to gather their forces together. The same man does not always simultaneously exercise memory and judgment, because it is not the same faculty that is active in both cases. Thus there is a difference between the wrestler and the runner. Different dispositions react in each. Besides, nothing that we have said would militate against distinguishing between the man of strong and tenacious soul who would be inclined to read over what is recalled by his memory, while he who lets many things escape him would by his very weakness be disposed to experience and preserve passive affections. Again, memory must be a potentiality of the soul, inasmuch as the soul has no extension (and therefore could not be a storage-place for images which imply three dimensions). [Ennead IV,6 (41) 3]

Besides, how could matter be the first Principle, if it be a body? If the body of which the Stoics speak be of another nature, then matter can be called a body only figuratively. If they say that the common property of the body is to have three dimensions, they are speaking of the mathematical body. If on the contrary they join impenetrability to the three dimensions, they are no more talking about something simple. Besides, impenetrability is a quality, or is derived from a quality; but what is the source of impenetrability? Whence comes tri-dimensional extension? Who endued matter with extension? Matter, indeed, is not contained in the idea of tri-dimensional extension any more than the latter is contained in the notion of matter. Consequently, since matter thus participates in size, it is no longer a “simple” matter. [Ennead VI,1 (42) 26]

If, on occupying ourselves with this sense-world, we wished to determine the nature of bodies, would we not begin by studying some part thereof, such as a stone? We could then distinguish therein substance, quantity — such as dimension — and quality, such as color; and after having discovered these same elements in other bodies, we could say that the elements of the corporeal nature are being, quantity, and quality; but that these three coexist; and that, though thought distinguish them, all three form but one and the same body. If, besides, we were to recognize that movement is proper to this same organization, would we not add it to the three elements already distinguished? These four elements, however, would form but a single one, and the body, though one, would, in its nature, be the reunion of all four. We shall have to take the same course with our present subject, intelligible Being, and its genera and principles. Only, in this comparison, we shall have to make abstraction of all that is peculiar to bodies, such as generation, sense-perception, and extension. After having established this separation, and having thus distinguished essentially different things, we shall arrive at the conception of a certain intelligible existence, which possesses real essence, and unity in a still higher degree. From this standpoint, one might be surprised how the (substance which is thus) one can be both one and many. In respect to bodies, it is generally recognized that the same thing is both one and many; the body can indeed be divided infinitely; color and appearance, for instance, are therein very differing properties, since they are separated here below. But in respect to the soul, if she be conceived as one, without extent, dimension and absolutely simple, as it appears at first sight, how could we, after that, believe that the soul were manifold? We should have here expected to reach unity, all the more as, after having divided the animal in body and soul, and after having demonstrated that the body is multiform, composite and diverse, one might well, on the contrary, have expected to find the soul simple; and to have accepted this conclusion as final, as the end of our researches. We would thus have taken the soul as a sample of the intelligible world, just as the body represents the sense-world. Having thus considered this soul, let us examine how this unity can be manifold; how, in its turn, the manifold can be unity; not indeed a composite formed of separable parts, but a single nature simultaneously one and manifold. For, as we have already said, it is only by starting from this point and demonstrating it, that we will establish solidly the truth about the genera of essence. [Ennead VI,2 (43) 4]

Now why should we not posit quantity among the primary genera? And why not also quality? Quantity is not one of the primary genera like those we have posited, because the primary genera coexist with essence (which is not the case with quantity). Indeed, movement is inseparable from essence; being its actualization and life. Stability is implied in being; while identity and difference are still more inseparable from essence; so that all these (categories) appear to us simultaneously. As to number (which is discrete quantity), it is something posterior. As to (mathematical) numbers, far more are they posterior both to these genera, and themselves; for the numbers follow each other; the second depends on the first, and so forth; the last are contained within the first. Number, therefore, cannot be posited among the primary genera. Indeed, it is permissible to doubt whether quantity may be posited as any kind of a genus. More even than number, extension (which is continuous quantity), shows the characteristics of compositeness, and of posteriority. Along with number, the line enters into the idea of extension. This would make two elements. Then comes surface, which makes three. If then it be from number that continuous dimension derives its quantitativeness, how could this dimension be a genus, when number is not? On the other hand, anteriority and posteriority exist in dimension as well as in numbers. But if both kinds of quantities have in common this, that they are quantities, it will be necessary to discover the nature of quantity. When this will have been found, we shall be able to make of it a secondary genus; but it could not rank with the primary genera. If, then, quantity be a genus without being a primary one, it will still remain for us to discover to which higher genus, whether primary or secondary, it should be subsumed. [Ennead VI,2 (43) 13]

We decide, therefore, that the three first things (matter, form, and their combination) contribute to the formation of a single genus, which, by a figure of speech, we call (“corporeal) Being,” a genus which is common to them, and whose name applies to all three. Then come the other genera; such as relation, quantity and quality; the (relation of) being “contained in place,” and “in time”; movement; and place and time. But as the category of “time” and “place” would render superfluous that of “being in place” and of “being in time,” we should limit ourselves to the recognition of five genera, of which the first (“being”) comprises matter, form and the combination. If, however, we should not count matter, form and combination as a single genus, our analysis will assume the following shape: matter, form, combination, relation, quantity, quality, and movement. Otherwise, the latter three might be subsumed under relation, which possesses more extension than they. [Ennead VI,3 (44) 3]

Let us now pass to quantity and quantitatives. When treating of quantity, we have already said that it consists in number and dimension, in so far as some thing possesses such a quantity, that is, in the number of material things, and in the extension of the subject. Here indeed we are not treating of abstract quantity, but of a quantity which causes a piece of wood to measure three feet, or that horses are five in number. Consequently, as we have said, we should call extension and number (considered from the concrete viewpoint) “quantitatives”; but this name could could be applied neither to time nor space; time, being the measure of movement, re-enters into relation; and place, being that which contains the body, consists of a manner of being, and consequently, in a relation. (So much the less should we call time and place “quantitatives,” as) movement, though continuous, does not either belong to the genus of quantity. [Ennead VI,3 (44) 11]

How then is multitude classified among relatives? It forms part of relatives in that multitude is an extension of number, while its contrary is a contraction. Likewise is it with continuous dimension; we conceive of it as prolonged. Quantity therefore has a double origin: progression of unity, and of the point. If either progression cease promptly, the first one produces “little,” and the second, “small.” If both be prolonged, they produce “much,” and “large.” What then is the limit that determines these things? The same question may be asked about the beautiful, and about warmth; for there is also “warmer”; only, the latter is a relative, while Warm, taken absolutely, is a quality. As there is a “reason” of the beautiful (a reason that would produce and determine the beautiful), likewise there must be a reason for the Great, a reason by participation in which an object becomes great, as the reason of the Beautiful makes beautiful. Such are the things for which quantity admits contraries. [Ennead VI,3 (44) 12]

What distinctions are admitted by continuous quantity? There is the line, the surface, and the solid; for extension may exist in one, two or three dimensions (and thus count the numerical elements of continuous size) instead of establishing species. In numbers thus considered as anterior or posterior to each other, there is nothing in common, which would constitute a genus. Likewise in the first, second and third increases (of a line, surface, and solid) there is nothing in common; but as far as quantity is found, there is also equality (and inequality), although there be no extension which is quantitative more than any other. However, one may have dimensions greater than another. It is therefore only in so far as they are all numbers, that numbers can have anything in common. Perhaps, indeed, it is not the monad that begets the pair, nor the pair that begets the triad, but it may be the same principle which begets all the numbers. If numbers be not derivative, but exist by themselves, we may, at least within our own thought, consider them as begotten (or, derivative). We conceive of the smaller number as the anterior, the greater as posterior. But numbers, as such, may all be reduced to unity. [Ennead VI,3 (44) 13]

Besides, this movement is a definite quantity. Either this quantity will be measured by the extension of the space traversed, and the interval will consist in that extension; but that extension is space, and not time. Or we shall say that movement has a certain interval because it is continuous, and that instead of stopping immediately it always becomes prolonged; but this continuity is nothing else than the magnitude (that is, the duration) of the movement. Even though after consideration of a movement it be estimated as great, as might be said of a “great heat” — this does not yet furnish anything in which time might appear and manifest; we have here only a sequence of movements which succeed one another like waves, and only the observed interval between them; now the sequence of movements forms a number, such as two or three; and the interval is an extension. Thus the magnitude of the movement will be a number, say, such as ten; or an interval that manifests in the extension traversed by the movement. Now the notion of time is not revealed herein, but we find only a quantity that is produced within time. Otherwise, time, instead of being everywhere, will exist only in the movement as an attribute in a substrate, which amounts to saying that time is movement; for the interval (of the movement) is not outside of movement, and is only a non-instantaneous movement. If then time be a non-instantaneous movement, just as we often say that some particular instantaneous fact occurs within time, we shall be forced to ask the difference between what is and what is not instantaneous. Do these things differ in relation to time? Then the persisting movement and its interval are not time, but within time. [Ennead III,7 (45) 8]

Somebody might object that time is indeed the interval of movement, but that it is not the characteristic interval of movement itself, being only the interval in which movement exerts its extension, following along with it. All these terms lack definition. This (extension) is nothing else than the time within which the movement occurs. But that is precisely the question at issue, from the very start. It is as if a person who had been asked to define time should answer “time is the interval of the movement produced within time.” What then is this interval called time, when considered outside of the interval characteristic of movement? If the interval characteristic of time be made to consist in movement, where shall the duration of rest be posited? Indeed, for one object to be in motion implies that another (corresponding object) is at rest; now the time of these objects is the same, though for one it be the time of movement, and for the other the time of rest (as thought Strato). What then is the nature of this interval? It cannot be an interval of space, since space is exterior (to the movements that occur within it). [Ennead III,7 (45) 8]

Let us now examine in what sense it may be said (by Aristotle) that time is the number and measure of movement, which definition seems more reasonable, because of the continuity of movement. To begin with, following the method adopted with the definition of time as “the interval of movement,” we might ask whether time be the measure and number of any kind of movement. For how indeed could we give a numerical valuation of unequal or irregular movement. What system of numbering or measurement shall we use for this? If the same measure be applied to slow or to swift movement, in their case measure and number will be the same as the number ten applied equally to horses and oxen; and further, such measure might also be applied to dry and wet substances. If time be a measure of this kind, we clearly see that it is the measure of movements, but we do not discover what it may be in itself. If the number ten can be conceived as a number, after making abstraction of the horses it served to measure, if therefore a measure possess its own individuality, even while no longer measuring anything, the case must be similar with time, inasmuch as it is a measure. If then time be a number in itself, in what does it differ from the number ten, or from any other number composed of unities? As it is a continuous measure, and as it is a quantity, it might, for instance, turn out to be something like a foot-rule. It would then be a magnitude, as, for instance, a line, which follows the movement; but how will this line be able to measure what it follows? Why would it measure one thing rather than another? It seems more reasonable to consider this measure, not as the measure of every kind of movement, but only as the measure of the movement it follows. Then that measure is continuous, so far as the movement it follows itself continue to exist. In this case, we should not consider measure as something exterior, and separated from movement, but as united to the measured movement. What then will measure? Is it the movement that will be measured, and the extension that will measure it? Which of these two things will time be? Will it be the measuring movement, or the measuring extension? Time will be either the movement measured by extension, or the measuring extension; or some third thing which makes use of extension, as one makes use of a foot-rule, to measure the quantity of movement. But in all these cases, we must, as has already been noticed, suppose that movement is uniform; for unless the movement be uniform, one and universal, the theory that movement is a measure of any kind whatever will become almost impossible. If time be “measured movement,” that is, measured by quantity — besides granting that it at all needs to be measured — movement must not be measured by itself, but by something different. On the other hand, if movement have a measure different from itself, and if, consequently, we need a continuous measure to measure it, the result would be that extension itself would need measure, so that movement, being measured, may have a quantity which is determined by that of the thing according to which it is measured. Consequently, under this hypothesis, time would be the number of the extension which follows movement, and not extension itself which follows movement. [Ennead III,7 (45) 9]

What is this number? Is it composed of unities? How does it measure? That would still have to be explained. Now let us suppose that we had discovered how it measures; we would still not have discovered the time that measures, but a time that was such or such an amount. Now that is not the same thing as time; there is a difference between time and some particular quantity of time. Before asserting that time has such or such a quantity, we have to discover the nature of that which has that quantity. We may grant that time is the number which measures movement, while remaining exterior thereto, as “ten” is in “ten horses” without being conceived with them (as Aristotle claimed, that it was not a numbering, but a numbered number). But in this case, we still have to discover the nature of this number that, before numbering, is what it is, as would be “ten” considered in itself. It may be said that it is that number which, by following number, measures according to the priority and posteriority of that movement. Nor do we yet perceive the nature of that number which measures by priority and posteriority. In any case, whatever measures by priority or posteriority, or by a present moment, or by anything else, certainly does measure according to time. Thus this number (?) which measures movement according to priority or posteriority, must touch time, and, to measure movement, be related thereto. Prior and posterior necessarily designate either different parts of space, as for instance the beginning of a stadium, or parts of time. What is called priority is time that ends with the present; what is called posteriority, is the time that begins at the present. Time therefore is something different from the number that measures movement according to priority or posteriority, — I do not say, any kind of movement, but still regular movement. Besides, why should we have time by applying number either to what measures, or to what is measured? For in this case these two may be identical. If movement exist along with the priority and posteriority which relate thereto, why will we not have time without number? This would amount to saying that extension has such a quantity only in case of the existence of somebody who recognizes that it possesses that quantity. Since (Aristotle) says that time is infinite, and that it is such effectually, how can it contain number without our taking a portion of time to measure it? From that would result that time existed before it was measured. But why could time not exist before the existence of a soul to measure it? (Aristotle) might have answered that it was begotten by the soul. The mere fact that the soul measures time need not necessarily imply that the soul produced the time; time, along with its suitable quantity, would exist even if nobody measured it. If however it be said that it is the soul that makes use of extension to measure time, we will answer that this is of no importance to determine the notion of time. [Ennead III,7 (45) 9]

Thus, the extension of the life of the soul produces time, and the perpetual progression of her life produces the perpetuity of time, and her former life constitutes the past. We may therefore properly define time as the life of the soul considered in the movement by which she passes from one actualization to another. [Ennead III,7 (45) 11]

We have already decided that eternity is life characterized by rest, identity, immutability and infinity (in intelligence). It is, further, (admitted that) this our world is the image of the superior World (of intelligence). We have also come to the conclusion that time is the image of eternity. Consequently, corresponding to the Life characteristic of Intelligence, this world must contain another life which bears the same name, and which belongs to that power of the universal Soul. Instead of the movement of Intelligence, we will have the movement characteristic of a part of the soul (as the universal Soul ceaselessly passes from one thought to another). Corresponding to the permanence, identity, and immutability (of Intelligence), we will have the mobility of a principle which ceaselessly passes from one actualization to another. Corresponding to the unity and the absence of all extension, we will have a mere image of unity, an image which exists only by virtue of continuity. Corresponding to an infinity already entirely present, we will have a progression towards infinity which perpetually tends towards what follows. Corresponding to what exists entirely at the same time, we will have what exists by parts, and what will never exist entire at the same time. The soul’s existence will have to be ceaseless acquiring of existence; if it is to reveal an image of the complete, universal and infinite existence of the soul; that is the reason its existence is able to represent the intelligible existence. [Ennead III,7 (45) 11]

Indeed, as it was not possible to determine the time itself of the Soul, and to measure within themselves the parts of an invisible and uncognizable duration, especially for men who did not know how to count, the (world) Soul created day and night so that their succession might be the basis of counting as far as two, by the aid of this variety. Plato indicates that as the source of the notion of number. Later, observing the space of time which elapses from one dawn to another, we were able to discover an interval of time determined by an uniform movement, so far as we direct our gaze thereupon, and as we use it as a measure by which to measure time. The expression “to measure time” is premeditated, because time, considered in itself, is not a measure. How indeed could time measure, and what would time, while measuring, say? Would time say of anything, “Here is an extension as large as myself?” What indeed could be the nature of the entity that would speak of “myself”? Would it be that according to which quantity is measured? In this case, time would have to be something by itself, to measure without itself being a measure. The movement of the universe is measured according to time, but it is not the nature of time to be the measure of movement; it is such only accidentally; it indicates the quantity of movement, because it is prior to it, and differs from it. On the other hand, in the case of a movement produced within a determinate time, and if a number be added thereto frequently enough, we succeed in reaching the knowledge of how much time has elapsed. It is therefore correct to say that the movement of the revolution operated by the universal Sphere measures time so far as possible, by its quantity indicating the corresponding quantity of time, since it can neither be grasped nor conceived otherwise. Thus what is measured, that is, what is indicated by the revolution of the universal Sphere, is time. It is not begotten, but only indicated by movement. [Ennead III,7 (45) 12]

The measure of movement, therefore, seems to be what is measured by a definite movement, but which is other than this movement. There is a difference, indeed, between that which is measured, and that which measures; but that which is measured is measured only by accident. That would amount to saying that what is measured by a foot-rule is an extension, without defining what extension in itself is. In the same way, because of the inability to define movement more clearly because of its indeterminate nature, we say that movement is that which is measured by space; for, by observation of the space traversed by movement, we can judge of the quantity of the movement. [Ennead III,7 (45) 12]

(Some objector might ask) why we reduce the movement of the universe to the movement of the containing Soul, and admit that she is within time, while we exclude from time the (universal) Soul’s movement, which subsists within her, and perpetually passes from one actualization to another? The reason is that above the activity of the Soul there exists nothing but eternity, which shares neither her movement nor her extension. Thus the primary movement (of Intelligence) finds its goal in time, begets it, and by its activity informs its duration. [Ennead III,7 (45) 13]

This is how Intelligence continues to make the world subsist. Pure Intelligence and Being in itself constitute the genuine (intelligible) World that is prior to everything, which has no extension, which is weakened by no division, which has no imperfection, even in its parts, for none of its parts are separated from its totality. This world is the universal Life and Intelligence. Its unity is both living and intelligent. In it each part reproduces the whole, its totality consists of a perfect harmony, because nothing within it is separate, independent, or isolated from anything else. Consequently, even if there were mutual opposition, there would be no struggle. Being everywhere one and perfect, the intelligible World is permanent and immutable, for it contains no internal reaction of one opposite on another. How could such a reaction take place in this world, since nothing is lacking in it? Why should Reason produce another Reason within it, and Intelligence produce another Intelligence merely because it was capable of doing so? If so, it would not, before having produced, have been in a perfect condition; it would produce and enter in motion because it contained something inferior. But blissful beings are satisfied to remain within themselves, persisting within their essence. A multiple action compromises him who acts by forcing him to issue from himself. The intelligible World is so blissful that even while doing nothing it accomplishes great things, and while remaining within itself it produces important operations. [Ennead III,2 (47) 1]