Guthrie-Plotinus: magnitude

(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 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]

Nevertheless a philosophical study of unity will follow the following course. Since it is Unity that we seek, since it is the principle of all things, the Good, the First that we consider, those who will wish to reach it must not withdraw from that which is of primary rank to decline to what occupies the last, but they must withdraw their souls from sense-objects, which occupy the last degree in the scale of existence, to those entities that occupy the first rank. Such a man will have to free himself from all evil, since he aspires to rise to the Good. He will rise to the principle that he possesses within himself. From the manifold that he was he will again become one. Only under these conditions will he contemplate the supreme principle, Unity. Thus having become intelligence, having trusted his soul to intelligence, educating and establishing her therein, so that with vigilant attention she may grasp all that intelligence sees, he will, by intelligence, contemplate unity, without the use of any senses, without mingling any of their perceptions with the flashes of intelligence. He will contemplate the purest Principle, through the highest degree of the purest Intelligence. So when a man applies himself to the contemplation of such a principle and represents it to himself as a magnitude, or a figure, or even a form, it is not his intelligence that guides him in this contemplation for intelligence is not destined to see such things; it is sensation, or opinion, the associate of sensation, which is active in him. Intelligence is only capable of informing us about things within its sphere. [Ennead VI,9 (9) 3]

In what sense do we use the name of unity, and how can we conceive of it? We shall have to insist that the One is a unity much more perfect than the point of the monad; for in these, abstracting (geometric) magnitude, and numerical plurality, we do indeed stop at that which is most minute, and we come to rest in something indivisible; but this existed already in a divisible being, in a subject other than itself, while the One is neither in a subject other than itself, nor in anything divisible. If it be indivisible, neither is it of the same kind as that which is most minute. On the contrary, it is that which is greatest, not by (geometric) magnitude, but by power; possessing no (geometric) magnitude, it is indivisible in its power; for the beings beneath it are indivisible in their powers, and not in their mass (since they are incorporeal). We must also insist that the One is infinite, not as would be a mass of a magnitude which could be examined serially, but by the incommensurability of its power. Even though you should conceive of it as of intelligence or divinity, it is still higher. When by thought you consider it as the most perfect unity, it is still higher. You try to form for yourself an idea of a divinity by rising to what in your intelligence is most unitary (and yet He is still simpler); for He dwells within Himself, and contains nothing that is contingent. [Ennead VI,9 (9) 6]

The nature and power of the Soul reveal themselves still more gloriously in the way she embraces and governs the world at will. She is present in every point of this immense body, she animates all its parts, great and small. Though these may be located in different parts, she does not divide as they do, she does not split up to vivify each individual. She vivifies all things simultaneously, ever remaining whole and indivisible, resembling the intelligence from which she was begotten by her unity and universality. It is her power which contains this world of infinite magnitude and variety within the bonds of unity. Only because of the presence of the Soul are heaven, sun, and stars divinities; only because of her are we anything; for “a corpse is viler than the vilest dung-hill.” [Ennead V,1 (10) 2]

The dignity of Intelligence may be appreciated in still another way. After having admired the magnitude and beauty of the sense-world, the eternal regularity of its movement, the visible or hidden divinities, the animals and plants it contains, we may (taking our direction from all this), rise to this world’s archetype, a more real World. There we may contemplate all the intelligible entities which are as eternal as the intelligible world, and which there subsist within perfect knowledge and life. There preside pure intelligence and ineffable wisdom; there is located the real Saturnian realm, which is nothing else than pure intelligence. This indeed embraces every immortal essence, every intelligence, every divinity, every soul; everything there is eternal and immutable. Since its condition is blissful, why should Intelligence change? Since it contains everything, why should it aspire to anything? Since it is sovereignly perfect, what need of development would it have? Its perfection is so much completer, since it contains nothing but perfect things, and since it thinks them; it thinks them, not because it seeks to know them, but because it possesses them. Its felicity is not in any way contingent on anything else; itself is true eternity, of which time furnishes a moving image of the sphere of the soul. Indeed, the soul’s action is successive, and divided by the different objects that attract its attention. Now it thinks Socrates  , and then it thinks a horse; never does it grasp but one part of reality, while intelligence always embraces all things simultaneously. Intelligence, therefore, possesses all things immovable in identity. It is; it never has anything but the present; it has no future, for it already is all it could ever later become; it has no past, for no intelligible entity ever passes away; all of them subsist in an eternal present, all remain identical, satisfied with their present condition. Each one is both intelligence and existence; all together, they are universal Intelligence, universal Existence. [Ennead V,1 (10) 4]

Besides everything that is a mass or a magnitude could not occupy the first rank in nature; those gross objects which are by sensation considered beings must be ranked as inferior. In seeds, it is not the moist element that should be valued, but the invisible principle, number, and the (seminal) reason. Number and “pair” are only names for the reasons (ideas) and intelligence. The “pair” is indeterminate so far as it plays the part of substrate (in respect to unity). The number that is derived from the pair, and the one, constitute every kind of form, so that Intelligence has a shape which is determined by the ideas begotten within it. Its shape is derived in one respect from the one, and in another respect, from itself, just like actualized sight. Thought, indeed, is actualized sight, and both these entities (the faculty and the actualization) form but one. [Ennead V,1 (10) 5]

(The Stoics, who condensed Aristotle’s categories to four, substrate, quality-mode and relation), who admit the existence of nothing else than bodies, acknowledge no existence other than that contained by bodies. They insist that there is but one kind of matter, which serves as substrate to the elements, and that it constitutes “being”; that all other things are only affections (“passions”) of matter, or modified matter: as are the elements. The teachers of this doctrine do not hesitate to introduce this matter into the (very nature of the) divinities, so that their supreme divinity is no more than modified matter. Besides, of matter they make a body, calling it a “quantityless body,” still attributing to it magnitude. [Ennead II,4 (12) 1]

Now let us speak of bodies. The mutual transformation of elements demonstrates that they must have a substrate. Their transformation is not a complete destruction; otherwise (a general) “being” would perish in nonentity. Whereas, what is begotten would have passed from absolute nonentity to essence; and all change is no more than the passing of one form into another (as thought Aristotle). It presupposes the existence of permanent (subject) which would receive the form of begotten things only after having lost the earlier form. This is demonstrated by destruction, which affects only something composite; therefore every dissolved object must have been a composite. Dissolution proves it also. For instance, where a vase is dissolved, the result is gold; on being dissolved, gold leaves water; and so analogy would suggest that the dissolution of water would result in something else, that is analogous to its nature. Finally, elements necessarily are either form, or primary matter, or the composites of form and matter. However, they cannot be form, because, without matter, they could not possess either mass nor magnitude. Nor can they be primary matter, because they are subject to destruction. They must therefore be composites of form and matter; form constituting their shape and quality, and matter a substrate that is indeterminate, because it is not a form. [Ennead II,4 (12) 6]

What then is this matter which is one, continuous, and without qualities? Evidently, it could not be a body, since it has no quality; if it were a body, it would have a quality. We say that it is the matter of all sense-objects, and not the matter of some, and the form of others, just as clay is matter, in respect to the potter, without being matter absolutely (as thought Aristotle). As we are not considering the matter of any particular object, but the matter of all things, we would not attribute to its nature anything of what falls under our senses — no quality, color, heat, cold, lightness, weight, density, sparseness, figure or magnitude; for magnitude is something entirely different from being large, and figure from the figured object. Matter therefore is not anything composite, but something simple, and by nature one (according to the views of Plato and Aristotle combined). Only thus could matter be deprived of all properties (as it is). [Ennead II,4 (12) 8]

The principle which informs matter will give it form as something foreign to its nature; it will also introduce magnitude and all the real properties. Otherwise, it would be enslaved to the magnitude of matter, and could not decide of the magnitude of matter, and magnitude would be dependent on the disposition of matter. A theory of a consultation between it and the magnitude of matter would be an absurd fiction. On the contrary, if the efficient cause precede matter, matter will be exactly as desired by the efficient cause, and be capable of docilely receiving any kind of form, including magnitude. If matter possessed magnitude, it would also possess figure, and would thus be rather difficult to fashion. Form therefore enters into matter by importing into it (what constitutes corporeal being); now every form contains a magnitude and a quantity which are determined by reason (“being”), and with reason. That is why in all kinds of beings, quantity is determined only along with form; for the quantity (the magnitude) of man is not the quantity of the bird. It would be absurd to insist on the difference between giving to matter the quantity of a bird, and impressing its quality on it, that quality is a reason, while quantity is not a form; for quantity is both measure and number. [Ennead II,4 (12) 8]

It may be objected that it would be impossible to conceive of something without magnitude. The fact is that not everything is identical with quantity. Essence is distinct from quantity; for many other things beside it exist. Consequently no incorporeal nature has any quantity. Matter, therefore, is incorporeal. Besides, even quantity itself is not quantative, which characterizes only what participates in quantity (in general); a further proof that quantity is a form, as an object becomes white by the presence of whiteness; and as that which, in the animal, produces whiteness and the different colors, is not a varied color, but a varied reason; likewise that which produces a quantity is not a definite quantity, but either quantity in itself, or quantity as such, or the reason of quantity. Does quantity, on entering into matter extend matter, so as to give it magnitude? By no means, for matter had not been condensed. Form therefore imparts to matter the magnitude which it did not possess, just as form impresses on matter the quality it lacked. [Ennead II,4 (12) 9]

(Some objector) might ask how one could conceive of matter without quantity? This might be answered by a retort. How then do you (as you do) manage to conceive of it without quality? Do you again object, by what conception or intelligence could it be reached? By the very indetermination of the soul. Since that which knows must be similar to that which is known (as Aristotle quotes from Empedocles  ), the indeterminate must be grasped by the indeterminate. Reason, indeed, may be determined in respect to the indeterminate; but the glance which reason directs on the indeterminate itself is indeterminate. If everything were known by reason and by intelligence, reason here tells us about matter what reason rightly should tell us about it. By wishing to conceive of matter in an intellectual manner, intelligence arrives at a state which is the absence of intelligence, or rather, reason forms of matter a “bastard” or “illegitimate” image, which is derived from the other, which is not true, and which is composed of the other (deceptive material called) reason. That is why Plato said that matter is perceived by a “bastard reasoning.” In what does the indetermination of the soul consist? In an absolute ignorance, or in a complete absence of all knowledge? No: the indeterminate condition of the soul implies something positive (besides something negative). As for the eye, darkness is the matter of all invisible color, so the soul, by making abstraction in sense-objects of all things that somehow are luminous, cannot determine what then remains; and likewise, as the eye, in darkness (becomes assimilated to darkness), the soul becomes assimilated to what she sees. Does she then see anything else? Doubtless, she sees something without figure, without color, without light, or even without magnitude. If this thing had any magnitude, the soul would lend it a form. [Ennead II,4 (12) 10]

(An objector might ask) whether there be identity of conditions between the soul’s not thinking, and her experience while thinking of matter? By no means; when the soul is not thinking of anything, she neither asserts anything, nor experiences anything. When she thinks of matter, she experiences something, she receives the impression of the shapeless. When she presents to herself objects that possess shape and magnitude, she conceives of them as composite; for she sees them as distinct (or, colored?) and determined by qualities they contain. She conceives of both the totality and its two constituent elements. She also has a clear perception, a vivid sensation of properties inherent (in matter). On the contrary, the soul receives only an obscure perception of the shapeless subject, for there is no form there. Therefore, when the soul considers matter in general, in the composite, with the qualities inherent in this composite, she separates them, analyzes them, and what is left (after this analysis), the soul perceives it vaguely, and obscurely, because it is something vague and obscure; she thinks it, without really thinking it. On the other hand, as matter does not remain shapeless, as it is always shaped, within objects, the soul always imposes on matter the form of things, because only with difficulty does she support the indeterminate, since she seems to fear to fall out of the order of beings, and to remain long in nonentity. [Ennead II,4 (12) 10]

(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]

Thus the absolutely divisible (essence) does not exist alone; there is another one located immediately beneath it, and derived from it. On one hand, this inferior (essence) participates in the indivisibility of its principle; on the other, it descends towards another nature by its procession. Thereby it occupies a position intermediary between indivisible and primary (essence), (that is, intelligence), and the divisible (essence) which is in the bodies. Besides it is not in the same condition of existence as color and the other qualities; for though the latter be the same in all corporeal masses, nevertheless the quality in one body is completely separate from that in another, just as physical masses themselves are separate from each other. Although (by its essence) the magnitude of these bodies be one, nevertheless that which thus is identical in each part does not exert that community of affection which constitutes sympathy, because to identity is added difference. This is the case because identity is only a simple modification of bodies, and not a “being.” On the contrary, the nature that approaches the absolutely indivisible “Being” is a genuine “being” (such as is the soul). It is true that she unites with the bodies and consequently divides with them; but that happens to her only when she communicates herself to the bodies. On the other hand, when she unites with the bodies, even with the greatest and most extended of all (the world), she does not cease to be one, although she yield herself up to it entirely. [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]

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]

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]

Why (if the universal Soul possess the magnitude here attributed to her), does she not approach some other body (than that which she animates; that is, some individual body)? It would be this body’s (privilege or duty) to approach the universal Soul, if it be able to do so; on approaching to her, it receives something, and appropriates it. But would this body, that would approach the universal Soul, not already possess her simultaneously with the soul proper to itself, since these souls (the universal Soul, and the individual soul) do not appear to differ from each other? The fact is, that as their sensations differ, so must the passions that they experience likewise differ. The things are judged to be different, but the judge is the same principle successively placed in presence of different passions, although it be not he who experiences them, but the body disposed in some particular manner. It is as if when some one of us judges both the pleasure experienced by the finger, and the pain felt by the head. But why does not our soul perceive judgments made by the universal Soul? Because this is a judgment, and not a passion. Besides, the faculty that judged the passion does not say, “I have judged,” but it limits itself to judging. Thus, in ourselves, it is not the sight which communicates its judgment to the hearing, although both of these senses made separate judgments; what presides over these two senses is reason, which constitutes a different faculty. Often reason cognizes the judgment made by some other (being), while being conscious simultaneously of the passion it experiences. But this question has been treated elsewhere. [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]

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]

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]

We must still further preliminarily insist on the impassibility of matter; for by using the usual terms we might be misled into wrongly thinking that matter could be affected. Thus Plato speaks of matter being set on fire, being wetted, and so forth, as if it received the shapes of air or water. However, Plato modifies the statement that “matter receives the shapes of air and water” by the statement that matter “is set on fire and wetted,” and he demonstrates that by receiving these shapes it nevertheless has none of its own, and that forms do not more than enter into it. This expression “matter is set on fire” must not be taken literally; it means only that matter becomes fire. Now to become fire is not the same thing as being set on fire; to be set on fire can achieve no more than what is different from fire, than what can be affected; for that which itself is a part of fire could not be set on fire. To insist on the opposite would amount to saying that metal itself formed a statue, or that fire itself spread into matter and set it on fire. The theory that a (“seminal) reason” had approached matter, forces us to question how this reason could have set matter on fire. The theory that a figure had approached matter would imply that that which is set on fire is already composed of two things (matter and a figure), and that these two entities form a single one. Although these two things would form a single one, they would not affect each other, and would act only on other entities. Nor would they even in this case act jointly; for one would effect no more than to hinder the other from avoiding (form). The theory that when the body is divided matter also must be divided, would have to answer the question, How could matter on being divided, escape the affection undergone by the composite (of form and matter)? On such a theory, one might even assert that matter was destroyed, and ask, Since the body is destroyed, why should not matter also be destroyed? What is affected and divided must be a quantity or magnitude. What is not a magnitude cannot experience the same modifications as a body. Therefore those who consider matter affectible would be forced to call it a body. [Ennead III,6 (26) 12]

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]

Besides, our opponents have granted that every part of the universal Soul conforms to the whole. Now, in continuous quantities, it is by no means necessary that the part should resemble the whole. Thus, in the circle and the quadrilateral (the parts are not circles or quadrilaterals). All the parts of the divided object (from which a part is taken) are not even similar to each other, but vary in manifold ways, such as the different triangles of which a single triangle might be composed. Our opponents also acknowledge that the universal Soul is composed of parts that conform to the whole. Now, in a line, one part might also be a line, while differing from the whole in magnitude. But when we speak of the soul, if the difference of the part from the whole consisted in a difference of size, the soul would be a magnitude and a body; for then she would differentiate in quantity by psychic characteristics. But this would be impossible if all souls be considered similar and universal. It is evident that the soul cannot, like magnitudes, be further divided; and even our opponents would not claim that the universal Soul is thus divided into parts. This would amount to destroying the universal Soul, and reducing her to a mere name, if indeed in this system a prior universal (Soul) can at all be said to exist. This would place her in the position of wine, which might be distributed in several jars, saying that the part of the wine contained in each of them is a portion of the whole. [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]

(4). After having spoken of nature, and having explained how generation is a sort of contemplation, let us pass to the Soul that occupies a rank superior to nature. This is what we have to say about her. By her contemplative action, by her ardent desire to learn and to discover, by the fruitfulness of her knowledge, and her resulting need to produce, the Soul, her totality having become an object of contemplation, gave birth to some other object; just as science, on fructifying, by instruction begets a lesser science in the soul of the young disciple who possesses the images of all things, but only in the state of obscure theories, of feeble speculations, which are incapable of self-sufficiency. The higher and rational part of the Soul ever dwells in the higher region of the intelligible world, and is, by this intelligible world, ever illuminated and fructified; while the lower (“natural and generative power”) participates in what the superior part has received, by immediately participating in the intelligible; for life ever proceeds from life, and its actualization extends to everything, and is present everywhere. In her procession, the universal Soul allows her superior part to remain in the intelligible world; for, if she detached herself from this superior part, she would no longer be present everywhere; she would subsist only in her lower extremities. Besides, the part of the Soul that thus proceeds out of the intelligible world is inferior to what remains within it. Therefore, if the Soul must be present and must assert her sphere of activity everywhere, and if that which occupies the superior rank differs from that which occupies the inferior; if, besides, her activity proceeds either from contemplation or action, though indeed originally from contemplation — because contemplation precedes the action which could not exist without contemplation; in this state of affairs, though one actualization would be weaker than another, yet it would ever remain a contemplation, so that the action derived from contemplation seems to be no more than a weakened contemplation; for that which is begotten must always remain consubstantial with its generating principle, though weaker, since of lower rank. All things therefore silently proceed from the Soul, because they stand in no need of either contemplation or exterior visible action. Thus the Soul contemplates, and the contemplating part of the Soul, being somehow located outside of the superior part, and being different therefrom, produces what is below it; thus it is that contemplation begets contemplation. No more than its object is contemplation limited below; that is why it extends to everything. Where is it not? Every soul contains the same object of contemplation. This object, without being circumscribed as a magnitude, does not equally inhere in all beings; consequently, it is not present in the same way to all parts of the Soul. That is why Plato says that the charioteer of the soul communicates to his horses what he has seen. The latter receive something from him only because they desire to possess what he has seen; for they have not received the entire intelligible (world). Though they act because of a desire, they act only in view of what they desire; that is, in view of contemplation, and of its object. [Ennead III,8 (30) 5]

Indeed, this only Divinity loses none of His power by the birth of all the divinities contained within Him. All co-exist, and their individual distinctions obtain without their occupying separate localities or affecting a sense-form. Otherwise the one would be here, and the other there; each one would be individual, without simultaneously being universal in itself. Neither have they any parts that differ in each of them, or from each other; neither is the whole formed by each of them a power divided in a multiplicity of parts, a power whose magnitude would be measured by the number of its parts. Taken in its universality the intelligible world possesses a universal Power, which penetrates everything in its infinite development without exhausting its infinite force. He is so great that even His parts are infinite. There is no locality that He does not interpenetrate. Even our world is great; it likewise contains all the powers; but it would be much better, and its magnitude would be inconceivable if it did not also contain physical powers, which are essentially small (because limited). Fire and the other bodies cannot be called great powers because they consist only of an image of the infinity of the genuine Power by burning, crushing, destroying, and contributing to the generation of animals. They destroy only because they themselves are destroyed; they contribute to generation only because they themselves are generated. [Ennead V,8 (31) 9]

But what is there to be feared in magnitude? If (the essence) that has increased could feel (it would feel that which in itself has become evil; for) it would feel that it had issued from itself, and had even gone to a great distance (from itself). No (essence), indeed, seeks that which is other than itself; every (essence) seeks itself. The movement by which (an essence) issues from itself is caused either by “audacity,” or necessity. Every (being) exists in the highest degree not when it becomes manifold or great, but when it belongs to itself; now this occurs when it concentrates upon itself. That which desires to become great in some other manner is ignorant of that in which true greatness consists; instead of proceeding towards its legitimate goal, it turns towards the outside. Now, on the contrary, to turn towards oneself, is to remain in oneself. The demonstration of this may be seen in that which participates in greatness; if (the being) develop itself so that each of its parts exist apart, each part will indeed exist, but (the being) will no longer be what it originally was. To remain what it is, all its parts must converge towards unity; so that, to be what it was in its being, it should not be large, but single. When it possesses magnitude, and quantity inheres in it, it is destroyed, while when it possesses unity, it possesses itself. Doubtless the universe is both great and beautiful; but it is beautiful only so far as the unity holds it in from dissipating into infinity. Besides, if it be beautiful, it is not because it is great, but because it participates in beauty; now, if it need participation in beauty, it is only because it has become so large. Indeed, isolated from beauty, and considered in itself as great, it is ugly. From this point of view, what is great is with beauty in the relation obtaining between matter and form, because what needs adornment is manifold; consequently, what is great has so much more need of being adorned and is so much more ugly (as it is great). [Ennead VI,6 (34) 1]

We must, in fact, conceive intelligible essences as subsisting in one nature, and one single nature as possessing and embracing all (things). There no one thing is separated from the others, as in the sense-world, where the sun, moon, and other objects each occupy a different locality; but all things exist together in one unity; such is the nature of intelligence. The (universal) Soul imitates it, in this respect, as does also the power called Nature, conformably to which, and by virtue of which individuals are begotten each in a different place, while she remains in herself. But, although all things exist together (in the unity of Intelligence), each of them is none the less different from the others. Now, these things which subsist in Intelligence and “being,” are seen by the Intelligence that possesses them, not because it observes them, but because it possesses them without feeling the need of distinguishing them from each other; because from all eternity they have dwelt within it distinct from each other. We believe in the existence of these things on the faith of those who admire them, because they have participated therein. As to the magnitude and beauty of the intelligible world, we can judge of it by the love which the Soul feels for it, and if other things feel love for the Soul, it is because she herself possesses an intellectual nature, and that by her the other things can, to some extent, become assimilated to Intelligence. How indeed could we admit that here below was some organism gifted with beauty, without recognizing that the Organism itself (the intelligible world) possesses an admirable and really unspeakable beauty? Further, the perfect Organism is composed of all the organisms; or rather it embraces all the organisms; just as our Universe is one, yet simultaneously is visible, because it contains all the things which are in the visible universe. [Ennead VI,6 (34) 7]

What then is the principal cause (by virtue of which objects participate in numbers)? A being is one by the presence of one; double, because of the presence of the pair; just as it is white because of the presence of whiteness; beautiful, because of the presence of beauty; and just by that of justice. If that be not admitted, we shall be reduced to asserting that whiteness, beauty and justice are nothing real, and that their only causes are simple relations; that justice consists in some particular relation with some particular being; that beauty has no foundation other than the affection that we feel; that the object which seems beautiful possesses nothing capable of exciting this affection either by nature, or by acquirement. When you see an object that is one, and that you call single, it is simultaneously great, beautiful, and susceptible of receiving a number of other qualifications. Now why should unity not inhere in the object as well as greatness and magnitude, sweetness and bitterness, and other qualities? We have no right to admit that quality, whatever it be, forms part of the number of beings, whilst quantity is excluded; nor to limit quantity to continuous quantity, while discrete quantity is excluded from the conception of quantity; and that so much the less as continuous quantity is measured by discrete quantity. Thus, just as an object is great because of the presence of magnitude, as it is one by the presence of unity; so is it double because of the presence of being a pair, and so forth. [Ennead VI,6 (34) 14]

What is the cause that when distant visible objects seem smaller, and that, though separated by a great space, they seem to be close to each other, while if close, we see them in their true size, and their true distance? The cause of objects seeming smaller at a distance might be that light needs to be focussed near the eye, and to be accommodated to the size of the pupils; that the greater the distance of the matter of the visible object, the more does its form seem to separate from it during its transit to the eyes; and that, as there is a form of quantity as well as of quality, it is the reason (or, form) of the latter which alone reaches the eye. On the other hand, (Epicurus  ) thinks that we feel magnitude only by the passage and the successive introduction of its parts, one by one; and that, consequently, magnitude must be brought within our reach, and near us, for us to determine its quantity. [Ennead II,8 (35) 1]

(Do objects at a distance seem smaller) because we perceive magnitude only by accident, and because color is perceived first? In this case, when an object is near, we perceive its colored magnitude; when at a distance, we perceive first its color, not well enough distinguishing its parts to gather exact knowledge of its quantity, because its colors are less lively. Why should we be surprised at magnitudes being similar to sounds, which grow weaker as their form decreases in distinctness? As to sounds, indeed, it is the form that is sought by the sense of hearing, and here intensity is noticed only as an accident. But if hearing perceive magnitude only by accident, to what faculty shall we attribute the primitive perception of intensity in sound, just as primitive perception of magnitude in the visible object is referable to the sense of touch? Hearing perceives apparent magnitude by determining not the quantity but the intensity of sounds; this very intensity of sounds, however, is perceived only by accident (because it is its proper object). Likewise, taste does not by accident feel the intensity of a sweet savor. Speaking strictly, the magnitude of a sound is its extent. Now the intensity of a sound indicates its extent only by accident, and therefore in an inexact manner. Indeed a thing’s intensity is identical with the thing itself. The multitude of a thing’s parts is known only by the extent of space occupied by the object. [Ennead II,8 (35) 1]

It may be objected that a color cannot be less large, and that it can only be less vivid. However, there is a common characteristic in something smaller and less vivid; namely, that it is less than what it is its being to be. As to color, diminution implies weakness; as to size, smallness. Magnitude connected with color diminishes proportionally with it. This is evident in the perception of a varied object, as, for instance, in the perception of mountains covered with houses, forests, and many other objects; here the distinctness of detail affords a standard by which to judge of the whole. But when the view of the details does not impress itself on the eye, the latter no longer grasps the extent of the whole through measurement of the extent offered to its contemplation by the details. Even in the case where the objects are near and varied, if we include them all in one glance without distinguishing all their parts, the more parts our glance loses, the smaller do the objects seem. On the contrary, if we distinguish all their details, the more exactly do we measure them, and learn their real size. Magnitudes of uniform color deceive the eye because the latter can no longer measure their extent by its parts; and because, even if the eye attempt to do so, it loses itself, not knowing where to stop, for lack of difference between the parts. [Ennead II,8 (35) 1]

The distant object seems to us close because our inability to distinguish the parts of the intervening space does not permit us to determine exactly its magnitude. When sight can no longer traverse the length of an interval by determining its quality, in respect to its form, neither can it any longer determine its quantity in respect to magnitude. [Ennead II,8 (35) 1]

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]

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]

We now pass to the opinions of (Zeno   and the other Stoic) philosophers, who assert that two bodies which make up a mixture mutually interpenetrate each other totally. They support this view by observing that when the bodies interpenetrate totally, they are divided without the occurrence of a continuous division (which would make their molecules lose their magnitude). Indeed, perspiration issues from the human body without its being divided or riddled with holes. To this it may be objected that nature may have endowed our body with a disposition to permit perspiration to issue easily. To this (the Stoics) answer that certain substances (like ivory), which when worked into thin sheets, admit, in all their parts, a liquid (oat-gruel) which passes from one surface to the other. As these substances are bodies, it is not easy to understand how one element can penetrate into another without separating its molecules. On the other hand, total division must imply mutual destruction (because their molecules would lose all magnitude whatever). When, however, two mingled bodies do not together occupy more space than either of them separately (the Stoics) seem forced to admit to their adversaries that this phenomenon is caused by the displacement of air. [Ennead II,7 (37) 1]

One body is said to divide another, by penetrating it. This assertion, however, demands demonstration, for it is more reasonable to suppose that qualities may penetrate a body without dividing it. Such demonstration is attempted by the claim that qualities are incorporeal. But if matter itself be as incorporeal as the qualities, why could not some qualities along with the matter penetrate into some other body? That some solids do not penetrate other bodies, is due to their possession of qualities incompatible with that of penetration. The objection that many qualities could not, along with matter, penetrate some body, would be justified only if it were the multitude of qualities that produced density; but if density be as much of a quality as corporeity, the qualities will constitute the mixture not in themselves alone, but only as they happen to be determined. On the other hand, when matter does not lend itself to mixture, this occurs not by virtue of its being matter, but as matter united to some determinative quality. That is all the truer as matter is receptive to any magnitude, not having any of its own. But enough of this. [Ennead II,7 (37) 2]

(By this process) we also know the nature of Intelligence, which we see still better than the other things, though we cannot grasp its magnitude. We admit, in fact, that it possesses the whatness (essence), of everything, but not its “whyness” (its cause); or, if we grant (that this “cause” be in Intelligence), we do not think that it is separated (from its “whatness” (or, essence). Let us suppose that, for instance, the man, or, if possible, the eye, should offer itself to our contemplation (in the intelligible world) as a statue, or as a part of it, would do. The man that we see on high is both essence and cause. As well as the eye, he must be intellectual, and contain his cause. Otherwise, he could not exist in the intelligible world. Here below, just as each part is separated from the others, so is the cause separated (from the essence). On high, on the contrary, all things exist in unity, and each thing is identical with its cause. This identity may often be noticed even here below, as for instance, in eclipses. It would therefore seem probable that in the intelligible world everything would, besides the rest, possess its cause, and that its cause constitutes its essence. This must be admitted; and that is the reason why those who apply themselves to grasp the characteristic of each being succeed (in also grasping its cause). Indeed that which each (being) is, depends on the “cause of such a form.” To repeat: not only is a (being’s) form its cause, (which is incontestable), but yet, if one analyses each form considered in itself, its cause will be found. The only things which do not contain their causes are those whose life is without reality, and whose existence is shadowy. [Ennead VI,7 (38) 2]

How can (these beings) exist within Intelligence, and constitute it, if they were neither in that which has given, nor in that which has received this fulness, since, before receiving its fulness from the Good, Intelligence had not yet received (these beings)? It is not necessary that a principle should itself possess what it gives; in intelligible things, it suffices to consider the giver superior, and the receiver inferior; that (giving and receiving) is the content of generation in the order of veritable beings. What occupies the front rank must be in actualization; posterior things must be in potentiality of what precedes them. What occupies the front rank is superior to what occupies the second rank; the giver, likewise is superior to the gift, because it is better. If then there be a Principle anterior to actualization, it must be superior both to actualization and to life; and because it gave life to Intelligence it is more beautiful, still more venerable than Life. Thus Intelligence received life, without necessity for the principle from which it received life having had to contain any variety. Life is the impress of Him who gave it, but it is not his life. When Intelligence glanced towards Him, it was indeterminate; as soon as it fixed its glance on Him, it was determined by Him, although He himself had no determination. As soon indeed as Intelligence contemplated the One, Intelligence was determined by Him, and from Him it received its determination, limit and form. The form exists in the receiver; the giver has none of it. This determination has not been imposed from without on Intelligence as is the case for the limit imposed on some magnitude; it is the determination characteristic of that Life, which is universal, multiple and infinite, because it has radiated from the supreme Nature. That Life was not yet the life of any particular principle; otherwise, it would have been determined as an individual life. Nevertheless it has been determined, and by virtue of that determination it is the life of a multiple unity. Each one of the things that constitute its multiplicity has likewise been determined. Indeed, life has been determined as multiplicity (of beings) because of its own multiplicity; as unity, because of the very determination it has received. What has been determined as unity? Intelligence, because it is the determined life. What was determined as multiplicity? The multiplicity of intelligences. Everything therefore is intelligence; only, the Intelligence that is one is universal; while the intelligences which form multiplicity are individual. [Ennead VI,7 (38) 17]

Where then is He who has created this venerable beauty, and this perfect life? Where is He who has begotten “being”? Do you see the beauty that shines in all these forms so various? It is well to dwell there; but when one has thus arrived at beauty, one is forced to seek the source of these essences and of their beauty. Their author Himself cannot be any of them; for then He would be no more than some among them, and a part of the whole. He is therefore none of the particular forms, nor a particular power, nor all of the forms, nor all the powers that are, or are becoming, in the universe; He must be superior to all the forms and all the powers. The supreme Principle therefore has no form; not indeed that He lacks any; but because He is the principle from which all intellectual shapes are derived. Whatever is born — that is, if there be anything such as birth — must, at birth, have been some particular being, and have had its particular shape; but who could have made that which was not made by anybody? He therefore is all beings, without being any of them; He is none of the other beings because He is anterior to all of them; He is all other beings because He is their author. What greatness shall be attributed to the Principle who can do all things? Will He be considered infinite? Even if He be infinite, He will have no greatness, for magnitude occurs only among beings of the lowest rank. The creator of magnitude could not himself have any magnitude; and even what is called magnitude in “being” is not a quantity. Magnitude can be found only in something posterior to being. The magnitude of the Good is that there be nothing more powerful than He, nothing that even equals Him. How indeed could any of the beings dependent on Him ever equal Him, not having a nature identical with His? Even the statement that God is always and everywhere does not attribute to Him any measure, nor even, a lack of measure — otherwise, He might be considered as measuring the rest; nor does it attribute to Him any figure (or, outward appearance). [Ennead VI,7 (38) 32]

The fire of which we speak above emits the purest light, and resides in the highest region, by virtue of its nature. These celestial flames are entirely distinct from the earthly flame, which after ascending to a certain height, and meeting a greater quantity of air, becomes extinguished. After ascending, it falls back on to the earth, because (as a comet) it cannot rise any further; it stops in the sublunar regions, though rendering the ambient air lighter. In those cases in which it continues to subsist in higher regions, it becomes weaker, gentler, and acquires a heatless glow, which is but a reflection of the celestial light. The latter, on the other hand, is divided partly among the stars in which it reveals great contrasts of magnitude and color, and partly in the atmosphere. Its invisibility to our eyes is caused both by its tenuity, and transparence, which causes it to become as tangible as pure air, and also because of its distance from the earth. [Ennead II,1 (40) 7]

In general the sensation of sight consists of perception of the visible object, and by sight we attain it in the place where the object is placed before our eyes, as if the perception operated in that very place, and as if the soul saw outside of herself. This occurs, I think, without any image being produced nor producing itself outside of the soul, without the soul receiving any impression similar to that imparted by the seal to the wax. Indeed, if the soul already in herself possessed the image of the visible object, the mere possession of this image (or type) would free her from the necessity of looking outside of herself. The calculation of the distance of the object’s location, and visibility proves that the soul does not within herself contain the image of the object. In this case, as the object would not be distant from her, the soul would not see it as located at a distance. Besides, from the image she would receive from within herself, the soul could not judge of the size of the object, or even determine whether it possessed any magnitude at all. For instance, taking as an example the sky, the image which the soul would develop of it would not be so great (as it is, when the soul is surprised at the sky’s extent). Besides, there is a further objection, which is the most important of all. If we perceive only the images of the objects we see, instead of seeing the objects themselves, we would see only their appearances or adumbrations. Then the realities would differ from the things that we see. The true observation that we cannot discern an object placed upon the pupil, though we can see it at some little distance, applies with greater cogency to the soul. If the image of the visible object be located within her, she will not see the object that yields her this image. We have to distinguish two things, the object seen, and the seeing subject; consequently, the subject that sees the visible object must be distinct from it, and see it as located elsewhere than within itself. The primary condition of the act of vision therefore is, not that the image of the object be located in the soul, but that it be located outside of the soul. [Ennead IV,6 (41) 8]

But what about the straight line? Is it not a magnitude? Possibly; but if it be a magnitude, it is a qualified one. It is even possible that straightness constitutes a difference of the (very nature of the) line, as line, for straightness refers solely to a line; and besides, we often deduce the differences of “Essence” from its qualities. That a straight line is a quantity added to a difference does not cause its being composed of the line, and of the property of straightness; for, were it thus composed, straightness would be its chief difference. [Ennead VI,3 (44) 14]

Now let us consider the triangle, which is formed of three lines. Why should it not belong to quantity? Would it be so, because it is not constituted by three lines merely, but by three lines arranged in some particular manner? But a quadrilateral would also be constituted by four lines arranged in some particular manner. (But being arranged in some particular manner does not hinder a figure from being a quantity). The straight line, indeed, is arranged in some particular manner, and is none the less a quantity. Now if the straight line be not simply a quantity, why could this not also be said of a limited line? For the limit of the line is a point, and the point does not belong to any genus other than the line. Consequently, a limited surface is also a quantity, because it is limited by lines, which even more belong to quantity. If then the limited surface be contained in the genus of quantity, whether the surface be a triangle, a quadrilateral, a hexagon, or any other polygon, all figures whatever will belong to the genus of quantity. But if we assigned the triangle or quadrilateral to the genus of quality merely because we are speaking of some one definite triangle or quadrilateral, nothing would hinder one and the same thing from being subsumed under several categories. A triangle would then be a quantity so far as it was both a general and particular magnitude, and would be a quality by virtue of its possessing a particular form. The same might be predicated of the Triangle in itself because of its possessing a particular form; and so also with the sphere. By following this line of argument, geometry would be turned into a study of qualities, instead of that of quantities, which of course it is. The existing differences between magnitudes do not deprive them of their property of being magnitudes, just as the difference between essences does not affect their essentiality. Besides, every surface is limited, because an infinite surface is impossible. Further, when I consider a difference that pertains to essence, I call it an essential difference. So much the more, on considering figures, I am considering differences of magnitude. For if the differences were not of magnitude, of what would they be differences? If then they be differences of magnitude, the different magnitudes which are derived from differences of magnitude should be classified according to the species constituted by them (when considered in the light of being magnitudes). [Ennead VI,3 (44) 14]

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]

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]