Enneads

GNOSTICS BOAST OF LACK OF APPRECIATION OF BEAUTY ALREADY RECOGNIZED. The (Gnostics) pretend that they have no appreciation for the beauty of the world, and that they make no distinction between beautiful and ugly bodies. In this case they should not distinguish good from bad taste, nor recognize beauty in the sciences, in contemplation, nor in the divinity itself; for sense-beings possess beauty only by participation in first principles. If they be not beautiful, neither could those first principles be such. Consequently sense-beings are beautiful, though less beautiful than intelligible beings. The scorn professed by (Gnostics) for sense-beauty is praiseworthy enough if it refer only to the beauty of women and of young boys, and if its only purpose be to lead to chastity. But you may be sure that they do not boast of scorning what is ugly, they only boast of scorning what they had at first recognized and loved as being beautiful. EVEN EXTERIOR OR PARTIAL BEAUTY NEED NOT CONFLICT WITH THE BEAUTY OF THE UNIVERSE; AND IN ANY CASE THERE WOULD BE NO EVIL IN IT.

We must further observe that it is not the same beauty that is seen in the parts and in the whole, in individuals and in the universe; that there are beauties great enough in sense-objects and in individuals, for instance, in the guardians, to lead us to admire their creator, and to prove to us that they indeed are works of his. In this way we may attain a conception of the unspeakable beauty of the universal Soul, if we do not attach ourselves to sense-objects, and if, without scorning them, we know how to rise to intelligible entities. If the interior of a sense-being be beautiful, we shall judge that it is in harmony with its exterior beauty. If it be ugly we will consider that it is inferior to its principle. But it is impossible for a being really to be beautiful in its exterior while ugly within; for the exterior is beautiful only in so far as it is dominated by the interior. Those who are called beautiful, but who are ugly within, are externally beautiful only deceptively. In contradiction to those who claim that there are men who possess a beautiful body and an ugly soul, I insist that such never existed, and that it was a mistake to consider them beautiful. If such men were ever seen, their interior ugliness was accidental, and also their soul was, by nature, beautiful; for we often meet here below obstacles which hinder us from reaching our goal. But the universe cannot by any obstacle be hindered from possessing interior beauty in the same way that it possesses exterior beauty. The beings to whom nature has not, from the beginning, given perfection, may indeed not attain their goal, and consequently may become perverted; but the universe never was a child, nor imperfect; it did not develop, and received no physical increase. Such a physical increase would have been impossible inasmuch as it already possessed everything. Nor could we admit that its Soul had ever, in the course of time, gained any increase. But even if this were granted to the (Gnostics), this could not constitute any evil.

RECOGNITION OF THE BEAUTY OF THE BODY NEED NOT IMPLY ATTACHMENT THERETO; IT IS COMPATIBLE WITH RESIGNATION.

(Gnostics) however might object that their doctrine inspired revulsion from, and hate for the body, while (that of Plotinos) really attached the soul to the body (by recognition of its beauty). Hardly. We may illustrate by two guests who dwelt together in a beautiful house. The first guest blamed the disposition of the plan, and the architect who constructed it, but nevertheless remained within it. The other guest, instead of blaming the architect, praised his skill, and awaited the time when he might leave this house, when he should no longer need it. The first guest would think himself wiser and better prepared to leave because he had learned to repeat that walls are composed of lifeless stones and beams, and that this house was far from truly representing the intelligible house. He would however not know that the only difference obtaining between him and his companion, is that he did not know how to support necessary things, while his companion (who did not blame the house) will be able to leave it without regret because he loved stone-buildings only very moderately. So long as we have a body we have to abide in these houses constructed by the (world) Soul, who is our beneficent sister, and who had the power to do such great things without any effort. GNOSTICS ACKNOWLEDGE KINSHIP WITH DEPRAVED MEN, BUT REFUSE IT TO THE BEAUTIFUL UNIVERSE, OF WHICH WE SHOULD BE FAR PROUDER.

The Gnostics do not hesitate to call the most abandoned men their "brothers," but refuse this name to the sun, and the other deities of heaven, and to the very Soul of the world, fools that they are! Doubtless, to unite ourselves thus to the stars by the bonds of kindred, we must no longer be perverse, we must have become good, and instead of being bodies, we must be souls in these bodies; and, so far as possible, we must dwell within our bodies in the same manner as the universal Soul dwells within the body of the universe. To do this, one has to be firm, not allow oneself to be charmed by the pleasures of sight or hearing, and to remain untroubled by any reverse. The Soul of the world is not troubled by anything, because she is outside of the reach of all. We, however, who here below are exposed to the blows of fortune, must repel them by our virtue, weakening some, and foiling others by our constancy and greatness of soul. When we shall thus have approached this power which is out of the reach (of all exigencies), having approached the Soul of the universe and of the stars, we shall try to become her image, and even to increase this resemblance to the assimilation of fusion. Then, having been well disposed by nature and exercised, we also will contemplate what these souls have been contemplating since the beginning. We must also remember that the boast of some men that they alone have the privilege of contemplating the intelligible world does not mean that they really contemplate this world any more than any other men.

GNOSTICS WHO BOAST SUPERIORITY TO THE DIVINITIES WHO CANNOT LEAVE THEIR BODIES ARE IN REALITY IGNORANT OF THE TRUE STATE OF AFFAIRS. Vainly also do some (Gnostics) boast of having to leave their bodies when they will have ceased to live, while this is impossible to the divinities because they always fill the same function in heaven. They speak thus only because of their ignorance of what it is to be outside of the body, and of how the universal Soul in her entirety wisely governs what is inanimate. THE JEALOUS DISTINCTION BETWEEN THE SPIRITUAL, PSYCHIC AND MATERIAL IS DUE CHIEFLY TO IGNORANCE OF OTHER PEOPLE'S ATTAINMENTS. We ourselves may very well not love the body, we may become pure, scorn death, and both recognize and follow spiritual things that are superior to earthly things. But on this account we should not be jealous of other men, who are not only capable of following the same goal, but who do constantly pursue it. Let us not insist that they are incapable of doing so. Let us not fall into the same error as those who deny the movement of the stars, because their senses show them to remain immovable. Let us not act as do the (Gnostics), who believe that the nature of the stars does not see what is external, because they themselves do not see that their own souls are outside.

Of Numbers. MANIFOLDNESS IS DISTANCE FROM UNITY, AND EVIL.

Does manifoldness consist in distance from unity? Is infinity this distance carried to the extreme, because it is an innumerable manifoldness? Is then infinity an evil, and are we ourselves evil when we are manifold? (That is probable); or every being becomes manifold when, not being able to remain turned towards itself, it blossoms out; it extends while dividing; and thus losing all unity in its expansion, it becomes manifoldness, because there is nothing that holds its parts mutually united. If, nevertheless, there still remain something that holds its parts mutually united, then, though blossoming out, (the essence) remains, and becomes manifoldness. HOW MANIFOLDNESS IS AN EVIL.

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).

WHAT IS THE NUMBER OF THE INFINITE.

What opinion should we hold of that which is called the number of infinity? We must begin by examining how it can be a number, if it be infinite. Indeed, sense-objects are not infinite; consequently, the number which inheres in them could not be infinite, and he who numbers them, does not number infinity. Even if they were multiplied by two, or by more, they still could always be determined; if they were multiplied in respect of the past or the future, they would still be determined. It might be objected that number is not infinite in an absolute manner, but only (in a relative manner) in this sense, that it is always possible to add thereto. But he who numbers does not create numbers; they were already determined, and they existed (before being conceived by him who was numbering them). As beings in the intelligible world are determined, their number is also determined by the quantity of beings. Just as we make man manifold by adding to him the beautiful, and other things of the kind, we can make an image of number correspond to the image of every intelligible being. Just as, in thought, we can multiply a town that does not exist, so can we multiply numbers. When we number the parts of time, we limit ourselves to applying to them the numbers that we have in ourselves, and which, merely on that account, do not cease remaining in us.

HOW THE INFINITE REACHED EXISTENCE.

How did the infinite, in spite of its infiniteness, reach existence? For the things which have arrived at existence, and which subsist, have been preparatorily contained in a number. Before answering this question, we must examine whether, when it forms part of veritable essences, multitude can be evil. On high, the manifoldness remains united, and is hindered from completely being manifoldness, because it is the one essence; but this is inferior to unity by this very condition that it is manifoldness, and thus, is imperfect in respect to unity. Therefore, though not having the same nature as the One, but a nature somewhat degraded (in comparison with unity), manifoldness is inferior to unity; but, by the effect of the unity which it derives from the One (since it is the one essence), it still possesses a venerable character, reduces to unity the manifold it contains, and makes it subsist in an immutable manner. HOW INFINITY CAN SUBSIST IN THE INTELLIGIBLE WORLD.

How can infinity subsist in the intelligible world? Either it exists among the genuine essences, and then is determined; or it is not determined, and then it does not exist among the veritable essences, but it must be classified among the things which exist in perpetual becoming, such as time. The infinite is determinate, but it is not any the less infinite; for it is not the limit which receives the determination, but the infinite; and between the boundary and the infinite there is no intermediary that could receive the determination. This infinite acts as if it were the idea of the boundary, but it is contained by what embraces it exteriorly. When I say that it flees, I do not mean that it passes from one locality to another, for it has no locality; but I mean that space has existed from the very moment that this infinite was embraced. We must not imagine that what is called the movement of the infinite consists in a displacement, nor admit that the infinite by itself possesses any other of the things that could be named; thus the infinite could neither move, nor remain still. Where indeed would it halt, since the place indicated by the word "where" is posterior to infinity? Movement is attributed to infinity only to explain that the infinite has no permanency. Should we believe that the infinite exists on high in one only and single place, or that it arises there, and descends here below? No: for it is in respect to one only and single place that we are enabled to conceive both what has risen and does not descend, as well as that which descends.

INFINITE IS CONCEIVED BY THE THOUGHT'S MAKING ABSTRACTION OF THE FORM.

How then can we conceive the infinite? By making abstraction of form by thought. How will it be conceived? We may conceive of the infinite as simultaneously being the contraries, and not being them. It will have to be conceived as being simultaneously great and small; for the infinite becomes both of these. It may also be conceived as both being moved, and being stable; for the infinite becomes these two things also. But before the infinite becomes these two contraries, it is neither of them in any determinate manner; otherwise, you would have determined it. By virtue of its nature, the infinite is these things therefore in an indeterminate and infinite manner; only on this condition will it appear to be these contrary things. If, by applying your thought to the infinite, you do not entice it into a determination, as into a net, you will see the infinite escaping you, and you will not find anything in it that would be a unity; otherwise, you would have determined it. If you represented to yourself the infinite as a unity, it would seem to you manifold; if you say that it is manifold, it will again make game of you; for, all things do not form a manifold where no one thing is one. From still another standpoint, the nature of the infinite is movement, and according to another nature, stability; for its property of being invisible by itself constitutes a movement which distinguishes it from intelligence; its property of not being able to escape, of being exteriorly embraced, of being circumscribed within an unescapable circle constitutes a sort of stability. Movement therefore cannot be predicated of infinity, without also attributing stability to it.

HOW OTHER NUMBERS FORM PART OF THE INTELLIGIBLE WORLD.

Let us now examine how the numbers form part of the intelligible world. Are they inherent in the other forms? Or are they, since all eternity, the consequences of the existence of these forms? In the latter case, as the very essence possessed primary existence, we would first conceive the monad; then, as movement and stability emanated from it, we would have the triad; and each one of the remaining intelligible entities would lead to the conception of some of the other numbers. If it were not so, if a unity were inherent in each intelligible entity, the unity inherent in the first Essence would be the monad; the unity inherent in what followed it, if there be an order in the intelligible entities, would be the "pair"; last, the unity inhering in some other intelligible entity, such as, for instance, in ten, would be the decad. Nevertheless this could not yet be so, each number being conceived as existing in itself. In this case, will we be compelled to admit that number is anterior to the other intelligible entities, or posterior thereto? On this subject Plato says that men have arrived to the notion of number by the succession of days and nights, and he thus refers the conception of number to the diversity of (objective) things. He therefore seems to teach that it is first the numbered objects that by their diversity produce numbers, that number results from movement of the soul, which passes from one object to another, and that it is thus begotten when the soul enumerates; that is, when she says to herself, Here is one object, and there is another; while, so long as she thinks of one and the same object, she affirms nothing but unity. But when Plato says that being is in the veritable number, and that the number is in the being, he intends to teach that by itself number possesses a hypostatic substantial existence, that it is not begotten in the soul which enumerates, but that the variety of sense-objects merely recalls to the soul the notion of number.

PYTHAGOREAN INTELLIGIBLE NUMBERS DISCUSSED.

What then is the nature of number? Is it a consequence, and partially an aspect of each being, like man and one-man, essence and one-essence? Can the same be said for all the intelligibles, and is that the origin of all numbers? If so, how is it that on high (in the intelligible world) the pair and triad exist? How are all things considered within unity, and how will it be possible to reduce number to unity, since it has a similar nature? There would thus be a multitude of unities, but no other number would be reduced to unity, except the absolute One. It might be objected that a pair is the thing, or rather the aspect of the thing which possesses two powers joined together, such as is a composite reduced to unity, or such as the Pythagoreans conceived the numbers, which they seem to have predicated of other objects, by analogy. For instance, they referred to justice as the (Tetrad, or) group-of-four, and likewise for everything else. Thus a number, as for instance a group-of-ten, would be considered as a single (group of) unity, and would be connected with the manifold contained in the single object. This, however, is an inadequate account of our conception of "ten"; we speak of the objects after gathering (ten) separate objects. Later, indeed, if these ten objects constitute a new unity, we call the group a "decad." The same state of

affairs must obtain with intelligible Numbers. If such were the state of affairs (answers Plotinos), if number were considered only within objects, would it possess hypostatic existence? It might be objected, What then would hinder that, though we consider white within things, that nevertheless the White should (besides) have a hypostatic substantial existence? For movement is indeed considered within essence, and yet (it is agreed that) movement possesses a "hypostatic" substantial existence within essence. The case of number, however, is not similar to that of movement; for we have demonstrated that movement thus considered in itself is something unitary. Moreover, if no more than such a hypostatic substantial existence be predicated of number, it ceases to be a being, and becomes an accident, though it would not even then be a pure accident; for what is an accident must be something before becoming the accident (of some substance). Though being inseparable therefrom, it must possess its own individual nature in itself, like whiteness; and before being predicated of something else, it already is what it is posited. Consequently, if one be in every (being), one man is not identical with man; if "one" be something different from "man" and from every other (being), if it be something common to all (beings), one must be anterior to all men and to all other (beings), so that man and all other beings may be one. The one is therefore anterior to movement,

since movement is one, and likewise anterior to essence, to allow for essence also being one. This of course does not refer to the absolute Unity that is recognized as superior to essence, but of the unity which is predicated of every intelligible form. Likewise, above that of which the decad is predicated subsists the "Decad in itself," for that in which the decad is recognized could not be the Decad in itself.

THE INTELLIGIBLE UNITY AND DECAD EXIST BEFORE ALL NUMBERS ONE OR TEN. Does unity therefore inhere in essences, and does it subsist with them? If it inhere in essences, or if it be an accident, as health is an accident of man, it must be something individual (like health). If unity be an element of the composite, it will first have to exist (individually), and be an unity in itself, so as to be able to unify itself to something else; then, being blended with this other thing that it has unified, it will not longer remain really one, and will thereby even become double. Besides, how would that apply to the decad? What need of the (intelligible) Decad has that which is already a decad, by virtue of the power it possesses? Will it receive its form from that Decad? If it be its matter, if it be ten and decad only because of the presence of the Decad, the Decad will have first to exist in itself, in the pure and simple state of (being a) Decad. WHAT IS THE NATURE OF THESE INTELLIGIBLE NUMBERS?

But if, independently of the things themselves, there be an One in itself, and a Decad in itself; and if the intelligible entities be unities, pairs, or triads, independently of what they are by their being, what then is the nature of these Numbers? What is their constitution? It must be admitted that a certain Reason presides over the generation of these Numbers. It is therefore necessary clearly to understand that in general, if intelligible forms at all exist, it is not because the thinking principle first thought each of them, and thereby gave them hypostatic existence. Justice, for instance, was not born because the thinking principle thought what justice was; nor movement, because it thought what movement was. Thus thought had to be posterior to the thing thought, and the thought of justice to justice itself. On the other hand, thought is anterior to the thing that owes its existence to thought, since this thing exists only because it is thought. If then justice were identical with such a thought, it would be absurd that justice should be nothing else than its definition; for in this case, the thinking of justice or movement, would amount to a conception of these objects (by a definition). Now this would be tantamount to conceiving the definition of a thing that did not exist, which is impossible. JUSTICE, LIKE AN INTELLECTUAL STATUE, WAS BORN OF ITSELF.

The statement that in what is immaterial, knowledge and the known thing coincide, must not be understood to mean that it is the knowledge of the thing which is the thing itself, nor that the reason which contemplates an object is this object itself, but rather, conversely, that it is the thing which, existing without matter, is purely intelligible and intellection. I do not here mean the intellection which is neither a definition nor an intuition of a thing; but I say that the thing itself, such as it exists in the intelligible world, is exclusively intelligence and knowledge. It is not (the kind of) knowledge that applies itself to the intelligible, it is the (actual) thing itself which keeps that knowledge (thereof possessed by reason) from remaining different from it, just as the knowledge of a material object remains different from that object; but it is a veritable (kind of) knowledge, that is, a knowledge which is not merely a simple image of the known thing, but really is the thing itself. It is not therefore the thought of the movement which produced movement in itself, but the movement in itself which produced the thought, so that the thought thinks itself as movement, and as thought. On the one hand, intelligible movement is thought by the intelligible Essence; on the other hand, it is movement in itself because it is first - for there is no movement anterior thereto; it is real movement, because it is not the accident of a subject, but because it is the actualization of the essence which moves, and possesses actualized (existence); it is therefore "being," though it be conceived as different from essence. Justice, for instance, is not the simple thought of justice; it is a certain disposition of Intelligence, or rather it is an actualization of a determinate nature. The face of Justice is more beautiful than the evening or morning stars, and than all visible beauty. Justice may be imagined as an intellectual statue which has issued from itself and which has manifested itself such as it is in itself; or rather, which subsists essentially in itself.

INTELLIGENCE THINKS THINGS NOT BECAUSE THEY EXIST, BUT BECAUSE IT POSSESSES THEM.

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.

WHAT AND HOW IS EVERY INTELLIGIBLE ENTITY.

Since then the (universal) Organism possesses primary existence, since it is simultaneously organism, intelligence, and veritable "Being"; and as we state that it contains all organisms, numbers, justice, beauty, and the other similar beings - for we mean something different by the Man himself, and Number itself, and Justice itself - we have to determine, so far as it is possible in such things, what is the condition and nature of each intelligible entity. NUMBER MUST EXIST IN THE PRIMARY ESSENCE.

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

NUMBER FOLLOWS AND PROCEEDS FROM ESSENCE.

It remains for us to discover whether it were "Being," in the process of division, that begat number, or whether it be the number that divided "Being." (This is the alternative:) either "being," movement, stability, difference and identity produced number, or it is number that produced all these (categories, or) genera. Our discussion must start thus. Is it possible that number should exist in itself, or must we contemplate two in two objects, three in three objects, and so forth? The same question arises about unity as considered within numbers; for if number can exist in itself independently of numbered things, it can also exist previously to the essences. Can number therefore exist before the essences? It might be well preliminarily to assert that number is posterior to the Essence, and proceeds therefrom. But then if essence be one essence, and if two essences be two essences, one will precede essence, and the other numbers will precede the essences. (Would number then precede the essences) only in thought and conception, or also in the hypostatic existence? We should think as follows. When you think of a man as being one, or the beautiful as being one, the one that is thus conceived in both (beings) is something that is thought only afterward. Likewise, when you simultaneously consider a dog and a horse, here also two is evidently something posterior. But if you beget the man, if you beget the horse or the dog, or if you produce them outside when they already exist in you, without begetting them, nor producing them by mere chance (of seeing them), you will say, "We should go towards one (being), then pass to another, and thus get two; then make one more being, by adding my person." Likewise, (beings) were not numbered after they were created, but before they were created, when (the creator) decided how many should be created.

NUMBER SPLIT THE UNITY INTO PLURALITY; PYTHAGOREAN IDENTIFICATION OF IDEAS AND NUMBERS. The universal Number therefore existed before the essences (were created); consequently, Number was not the essences. Doubtless, Number was in Essence; but it was not yet the number of Essence; for Essence still was one. But the power of Number, hypostatically existing within it, divided it, and made it beget the manifold. Number is either the being or actualization (of Essence); the very Organism and Intelligence are number. Essence is therefore the unified number, while the essences are developed number; Intelligence is the number which moves itself, and the Organism is the number that contains. Since therefore Essence was born from Unity, Essence, as it existed within Unity, must be Number. That is why (the Pythagoreans) called the ideas unities and numbers. TWO KINDS OF NUMBER: ESSENTIAL AND UNITARY.

Such then is "essential" Number (number that is "Being"). The other kind of number, which is called a number composed of digits, or "unities," is only an image of the former. The essential Number is contemplated in the intelligible forms, and assists in producing them; on the other hand, it exists primitively in essence, with essence, and before the essences. The latter find therein their foundation, source, root and principle. Indeed, Number is the principle of Essence, and rests in it, otherwise it would split up. On the contrary, the One does not rest upon essence; otherwise essence would be one before participating in the One; likewise, what participates in the decad would be the decad already before participating in the decad. ESSENCE IS A LOCATION FOR THE THINGS YET TO BE PRODUCED.

Subsisting therefore in the manifold, Essence therefore became Number when it was aroused to multiplicity, because it already contained within itself a sort of preformation or representation of the essences which it was ready to produce, offering the essences, as it were, a locality for the things whose foundation they were to be. When we say, "so much gold," or, "so many other objects," gold is one, and one does not thereby intend to make gold out of the number, but to make a number out of the gold; it is because one already possesses the number that one seeks to apply it to gold, so as to determine its quality. If essences were anterior to Number, and if Number were contemplated in them when the enumerating power enumerates the objects, the number of the (beings), whatever it is, would be accidental, instead of being determined in advance. If this be not the case, then must number, preceding (the beings) determine how many of them must exist; which means that, by the mere fact of the primitive existence of the Number, the (beings) which are produced undergo the condition of being so many, and each of them participates in unity whenever they are one. Now every essence comes from Essence because essence, by itself, is Essence; likewise, the One is one by itself. If every (being) be one, and if the multitude of (beings) taken together form the unity that is in them, they are one as the triad is one, and all beings also are one; not as is the Monad (or Unity), but as is a thousand, or any other number. He who, while enumerating, produced things, proclaims that there are a thousand of them, claims to do no more than to tell out what he learns from the things, as if he was indicating their colors, while really he is only expressing a condition of his reason; without which, he would not know how much of a multitude was present there. Why then does he speak so? Because he knows how to enumerate; which indeed he knows if he know the number, and this he can know only if the number exist. But not to know what is the number, at least under the respect of quantity, would be ridiculous, and even impossible.

AN OBJECT'S EXISTENCE IMPLIES A PREVIOUS MODEL IN ITSELF. When one speaks of good things, one either designates objects which are such by themselves, or asserts that the good is their attribute. If one designate the goods of the first order, one is speaking of the first Hypostasis, or rank of existence; if one designate the things of which the good is the attribute, this implies the existence of a nature of the good which has been attributed to them, or which produces this characteristic within them, or which is the Good in itself, or which, producing the good, nevertheless dwells in its own nature. Likewise, when, in connection with (beings), we speak of a decad, (or, group of ten), one is either referring to the Decad in itself, or, referring to the things of which the decad is an attribute, one is forced to recognize the existence of a Decad in itself, whose being is that of a decad. Consequently, the conferring of the name "decad" implies either that these (beings) are the Decad in itself, or above them in another Decad whose being is that of being a Decad in itself. UNITY AND NUMBER PRECEDE THE ONE AND THE MANY BEINGS.

In general, everything which is predicated of an object either comes to it from without, or is its actualization. Unless by nature it be inconstant, being present now, and absent then, if it be always present, it is a being when the object is a being. If it be denied that its nature were that of a being, it will surely be granted that it is a part of the essences, and that it is an essence. Now, if the object can be conceived without the thing which is its actualization, this thing nevertheless exists contemporaneously with it, even though in thought it be conceived posteriorily. If the object cannot be conceived without this thing, as man cannot be conceived of without one, in this case one is not posterior to man, but is simultaneous, or even anterior, since the man's subsistence is entirely dependent thereon. As to us, we recognize that Unity and Number precede (Essence and the essences). UNITY MUST EXIST IN THE INTELLIGIBLE BEFORE BEING APPLIED TO MULTIPLE BEINGS.

It may be objected that the decad is nothing else than ten unities. If the existence of the One be granted, why should we not also grant the existence of ten unities? Since the supreme Unity (the unity of the first Essence), possesses hypostatic existence, why should the case not be the same with the other unities (the complex unities contained within each of the essences)? It must not be supposed that the supreme Unity is bound up with a single essence; for in this case each of the other (beings) would no longer be one. If each of the other (beings) must be one, then unity is common to all the (beings); that is that single nature which may be predicated of the multiple (beings), and which must, as we have explained it, subsist in itself (in the primary essence) before the unity which resides in the multiple (beings). THE SUPREME UNITY ADJUSTS ALL LOWER GROUP UNITIES.

As unity is seen in some one (being), and then in some other, if the second unity possess hypostatic existence also, then the supreme Unity (of the first Essence) will not alone possess hypostatic existence, and there will be thus a multitude of unities (as there is a multitude of beings). If the hypostatic existence of the first Unity be alone acknowledged, this will exist either in the Essence in itself, or in the One in itself. If it exist in the Essence in itself, the other unities (which exist in the other beings) will then be such merely by figure of speech, and will no longer be subordinated to the primary unity; or number will be composed of dissimilar unities, and the unities will differ from each other in so far as they are unities. If the primary unity exist already in the Unity in itself, what need would that Unity in itself have of that unity to be one? If all that be impossible, we shall have to recognize the existence of the One which is purely and simply one, which, by its "being" is entirely independent of all the other beings, which is named the chief Unity, and is conceived of as such. If unity exist on high (in the intelligible world) without any object that may be called one, why might not another One (the one of the first Being) subsist on high also? Why would not all the (beings), each being a separate unity, not constitute a multitude of unities, which might be the "multiple unity"? As the nature (of the first Being) begets, or rather, as it has begotten (from all eternity); or at least, as it has not limited itself to one of the things it has begotten, thus rendering the unity (of the first Being) somewhat continuous; if it circumscribe (what it produces) and promptly ceases in its procession, it begets small numbers; if it advance further, moving alone not in foreign matters, but in itself, it begets large numbers. It thus harmonizes every plurality and every being with every number, knowing well that, if each of the (beings) were not in harmony with some number, either they would not exist, or they would bear neither proportion, measure, nor reason.

ONE AND UNITY ARE WITHIN US; INDEPENDENTLY OF THE ONE OUTSIDE.

(Aristotle) objects that "One" and "Unity" have no hypostatic (or, genuine) existence. Everywhere the One is something that is one. That is nothing but a simple modification experienced in our soul in presence of each essence. We might as easily affirm that when we assert "essence," this is but a simple modification of our soul, Essence (in itself) being absolutely nothing. If it be insisted that Essence exists because it excites and strikes our soul, which then represents it to herself, we see that the soul is equally impressed by the One, and represents Him to herself. Besides, we should ask (Aristotle) if this modification or conception of our soul do not bear to us the aspect of unity or the manifold? So much the more, we often say that an object is not one; evidently we then are not deriving the notion of unity from the object, because we are affirming that there is no unity in it. Unity therefore dwells within us, and it is in us without the object of which we predicate that it is some one thing. THERE IS INDEED A UNITARY MODE OF EXISTENCE IN OUTSIDE OBJECTS.

It may be objected that having this unity in our soul depends on receiving from the exterior object a notion and an image, which is a conception furnished by this object. As the philosophers who profess this opinion do not differentiate the species of one and of number, and as they allow them no other hypostatic existence (than to be conceived by our soul), if they (practically do) allow them any sort of hypostatic existence, it will be very interesting to scrutinize the opinions of these. They then say that the notion or conception that we have of the one or of the number derives from the objects themselves, is a notion as much "a posteriori" as those of "that," "something," "crowd," "festival," "army," or of "multitude"; for, just as the manifold is nothing without the multiple objects, nor a festival without the men gathered to celebrate the religious ceremony, thus "the One" is nothing without the one object, when we posit the one, conceiving it alone, having made an abstraction of everything else. The partisans of this opinion will cite many examples of the same kind, as the "right hand side," "the upper part," and their contraries. What reality indeed (to speak as they do), can the "right hand side" possess outside of a person who stands or sits here or there? The case is similar with "the upper side," which refers to a certain part of the universe, and the "lower side" to another. Our first answer to this argument is that we will allow that there is a certain kind of existence in the things themselves of which we have just spoken; but that this mode of existence is not identical in all things, considered either in respect to each other, or each in respect to the One which is in all. Further, we intend to refute one by one these arguments that have been opposed to us.

THE NOTION OF THE SUBJECT ONE DOES NOT COME FROM THE SUBJECT ITSELF.

To begin with, it is unreasonable to insist that the notion of the subject one comes to us from the subject itself (which is one), from the visible man, for instance, or from some other animal, or even some stone. Evidently the visible man and the One are things entirely different, which could not be identified; otherwise, our judgment would not be able (as it is) to predicate unity of the non-man. Besides, as the judgment does not operate on emptiness for the right side, and other such things, seeing a difference of position when it tells us that an object is here, or there; likewise, it also sees something when it says that an object is one; for it does not experience there an affection that is vain, and it does not affirm unity without some foundation. It cannot be believed that the judgment says that an object is one because it sees that it is alone, and that there is no other; for, while saying that there is no other, the judgment implicitly asserts that the other is one. Further, the notions of "other" and "different" are notions posterior to that of unity; if the judgment did not rise to unity, it would not assert either the "other" nor the "different"; when it affirms that an object is alone, it says, "there is one only object"; and therefore predicates unity before "only." Besides, the judgment which affirms is itself a substantial (being) before affirming unity of some other (being); and the (being) of which it speaks is one likewise before the judgment either asserts or conceives anything about it. Thus (being) must be one or many; if it be many, the one is necessarily anterior, since, when the judgment asserts that plurality is present, it evidently asserts that there is more than one; likewise, when it says that an army is a multitude, it conceives of the soldiers as arranged in one single corps. By this last example, it is plain that the judgment (in saying one body), does not let the multitude remain multitude, and that it thus reveals the existence of unity; for, whether by giving to the multitude a unity which it does not possess, or by rapidly revealing unity in the arrangement (which makes the body of the multitude), the judgment reduces multitude to unity. It does not err here about unity, any more than when it says of a building formed by a multitude of stones that it is a unity; for, besides, a building is more unified than an army. If, further, unity inhere in a still higher degree in that which is continuous, and in a degree still higher in what is not divisible, evidently that occurs only because the unity has a real nature, and possesses existence; for there is no greater or less in that which does not exist.

UNITY, THOUGH BY PARTICIPATION EXISTING IN SENSE-OBJECTS, IS INTELLIGIBLE.

Just as we predicate being of every sense-thing, as well as of every intelligible thing, we predicate it in a higher degree of intelligible things, attributing a higher degree (of substantiality) to the (beings that are veritable than to sense-objects), and to sense-objects than to other genera (of physical objects); likewise, clearly seeing unity in sense-objects in a degree higher than in the intelligible (essences), we recognize the existence of unity in all its modes, and we refer them all to Unity in itself. Besides, just as "being and essence" are nothing sensual, though sense-objects participate therein, so unity, though by participation it inhere in sense-objects, is not any the less an intelligible Unity. Judgment grasps it by an intellectual conception; by seeing one thing (which is sensual) it also conceives another which it does not see (because it is intelligible); it therefore knew this thing in advance; and if judgment knew it in advance, judgment was this thing, and was identical with that whose existence it asserted. When it says, "a certain" object, it asserts the unity, as, when it speaks of "certain" objects, it says that they are two or more. If then one cannot conceive of any object whatever without "one," "two," or some other number, it becomes possible to insist that the thing without which nothing can be asserted or conceived, does not at all exist. We cannot indeed deny existence to the thing without whose existence we could not assert or conceive anything. Now that which is everywhere necessary to speak and to conceive must be anterior to speech and conception, so as to contribute to their production. If, besides, this thing be necessary to the hypostatic existence of every essence - for there is no essence that lacks unity - it must be anterior to being, and being must be begotten by it. That is why we say "an essence" instead of first positing "essence," and "a" only thereafter, for there must be "one" in essence, to make "several" possible; but (the converse is not true; for) unity does not contain essence, unless unity itself produce it by applying itself to the begetting of it. Likewise, the word "that" (when employed to designate an object) is not meaningless; for instead of naming the object, it proclaims its existence, its presence, its "being," or some other of its kinds of "essence." The word "that" does not therefore express something without reality, it does not proclaim an empty conception, but it designates an object as definitely as some proper name.

UNITY ONLY AN ACCIDENT IN SENSE-THINGS, BUT SOMETHING IN ITSELF IN THE INTELLIGIBLE.

As to those who consider unity as relative, they might be told that unity could not lose its proper nature merely as a result of the affection experienced by some other being without itself being affected. It cannot cease being one without experiencing the privation of unity by division into two or three. If, on being divided, a mass become double without being destroyed in respect to its being a mass, evidently, besides the subject, there existed unity; and the mass lost it because the unity was destroyed by the division. So this same thing which now is present, and now disappears, should be classified among essences wherever it be found; and we must recognize that, though it may be an accident of other objects, it nevertheless exists by itself, whether it manifest in sense-objects, or whether it be present in intelligent entities; it is only an accident in posterior (beings, namely, the sense-objects); but it exists in itself in the intelligible entities, especially in the first Essence, which is One primarily, and only secondarily essence. TWO IS NOT AN ADDITION TO ONE, BUT A CHANGE (REFUTATION OF ARISTOTLE).

The objection that unity, without itself experiencing anything, by the mere addition of something else, is no longer one, but becomes double, is a mistake. The one has not become two, and is not that which has been added to it, nor that to which something has been added. Each of them remains one, such as it was; but two can be asserted of their totality, and one of each of them separately. Two therefore, not any more than "pair," is by nature a relation. If the pair consisted in the union (of two objects), and if "being united" were identical with "to duplicate," in this case the union, as well as the pair, would constitute two. Now a "pair" appears likewise in a state contrary (to that of the reunion of two objects); for two may be produced by the division of a single object. Two, therefore, is neither reunion nor division, as it would have to be in order to constitute a relation. OBJECTS PARTICIPATE IN NUMBERS JUST AS THEY PARTICIPATE IN ALL INTELLIGIBLE ENTITIES.

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.

THE VERITABLE NUMBERS ARE INTELLIGIBLE ENTITIES. Should we be asked to describe the operation of the participation of objects in unity and in numbers, we shall answer that this question connects with the more general problem of the participation of objects in intelligible forms. Besides, we shall have to admit that the decad presents itself under different aspects, according as it is considered to exist either in discrete quantities, or in continuous quantities, or in the reduction of many great forces to unity, or, last, into the intelligible entities to which we are later raised. It is among them, indeed, that are found the veritable Numbers (spoken of by Plato,) which, instead of being considered as discovered in other (beings), exist within themselves; such is the Decad-in-itself, which exists by itself, instead of simply being a decad composed of some intelligible entities. NUMBER EXISTS BEFORE EVERY ANIMAL, AND THE UNIVERSAL ANIMAL.

(From the above discussion about the intelligibility of numbers) let us now return to what we said in the beginning. The universal (Being) is veritable Essence, Intelligence, and perfect living Organism; and at the same time contains also all the living organisms. Our universe, which also is an organism, by its unity imitates so far as it can the unity of the perfect living Organism. I say, to the extent of its capacity, because, by its nature, the sense-world has departed from the unity of the intelligible world; otherwise, it would not be the sense-world. Moreover, the universal living Organism must be the universal Number; for if it were not a perfect number, it would lack some number; and if it did not contain the total number of living organisms, it would not be the perfect living Organism. Number therefore exists before every living organism, and before the universal living Organism. Man and the other living organisms are in the intelligible world; so far as they are living organisms, and so far as the intelligible world is the universal living Organism; for man, even here below, is a part of the living Organism, so far as itself is a living organism, and as the living Organism is universal; the other living organisms are also in the living Organism, so far as each of them is a living organism. THE INTELLIGIBLE AS POTENTIAL AND ACTUALIZED IN THE SOUL.

Likewise, Intelligence, as such, contains all the individual intelligences as its parts. These, however, form a number. Consequently, the number which is in the Intelligence does not occupy the first degree. So far as the number is in Intelligence, it is equal to the quantity of the actualizations of Intelligence. Now, these actualizations are wisdom, justice, and the other virtues, science, and all the (ideas) whose possession characterizes it as veritable Intelligence. (If then science exist in the Intelligence) how does it happen that it is not there in some principle other than itself? In Intelligence the knower, the known, and science are one and the same thing; and with everything else within it. That is why every (entity) exists in the intelligible world in its highest degree. For instance, within it, Justice is no accident, though it be one in the soul, as such; for intelligible entities are in the soul (only in) potential condition (so long as she remains no more than soul); and they are actualized when the soul rises to Intelligence and dwells with it. NUMBER AS THE UNIVERSAL BOND OF THE UNIVERSE.

Besides Intelligence, and anterior thereto, exists Essence. It contains Number, with which it begets (beings); for it begets them by moving according to number, determining upon the numbers before giving hypostatic existence to the (beings), just as the unity (of essence) precedes its (existence), and interrelates it with the First (or, absolute Unity). Numbers interrelate nothing else to the First; it suffices for Essence to be interrelated with Him, because Essence, on becoming Number, attaches all (beings) to itself. Essence is divided not so far as it is a unity (for its unity is permanent); but having divided itself conformably to its nature in as many things as it decided on, it saw into how many things it had divided itself; and through this (process) it begat the number that exists within itself; for it divided itself by virtue of the potentialities of number, and it begat as many (beings) as number comported. THE GENERATION OF EVERYTHING REGULATED BY NUMBER.

The first and veritable Number is therefore the source and principle of hypostatic existence for beings. That is the reason that even here below, the classified both discrete and continuous quantity and, with a different number, it is some other thing that is begotten, or nothing more can be begotten. Such are the primary Numbers, so far as they can be numbered. The numbers that subsist in other things play two parts. So far as they proceed from the First, they can be numbered; so far as they are below them, they measure other things, they serve to enumerate both numbers and things which can be enumerated. How indeed could you even say "ten" without the aid of numbers within yourself? DIFFICULTIES CONNECTED WITH THESE INTELLIGIBLE NUMBERS.

The first objection might be, Where do you locate, or how do you classify these primary and veritable Numbers? All the philosophers (who follow Aristotle) classify numbers in the genus of quantity. It seems that we have above treated of quantity, and classified both discrete and continuous quantity among other "beings." Here however we seem to say that these Numbers form part of the primary Essences, and add that there are, in addition, numbers that serve for enumerations. We are now asked how we make these statements agree, for they seem to give rise to several questions. Is the unity which is found among sense-beings a quantity? Or is unity a quantity when repeated, while, when considered alone and in itself, it is the principle of quantity, but not a quantity itself? Besides, if unity be the principle of quantity, does it share the nature of quantity, or has it a different nature? Here are a number of points we ought to expound. We shall answer these questions, and here is what we consider our starting-point. UNITY CONTAINED IN SENSE-OBJECTS IS NOT UNITY IN ITSELF.

When, considering visible objects, by which we ought to begin, we combine one (being) with another, as for instance, a horse and a dog, or two men, and say that they form two; or, when considering a greater number of men we say they are ten, and form a group of ten, this number does not constitute being, nor an (accident) among sense-objects; it is purely and simply a quantity. Dividing this group of ten by unity, and making unity of its parts, you obtain and constitute the principle of quantity (unity) for a unity thus derived from a group of ten. NUMERALS PREDICATED OF THE MAN IN HIMSELF ARE ESSENTIAL. But when you say that the Man considered in himself is a number, as, for instance, a pair, because he is both animal and reasonable, we have here no more than a simple modality. For, while reasoning and enumerating we produce a quantity; but so far as there are here two things (animal and reasonable), and as each of them is one, as each completes the being of the man, and possesses unity; we are here using and proclaiming another kind of number, the essential Number. Here the pair is not posterior to things; it does not limit itself to expressing a quantity which is exterior to essence; it expresses what is in the very being of this essence, and contains its nature.

COLLECTIVE NOUNS USED AS PROOF OF INDEPENDENT EXISTENCE. Indeed, it is not you who here below produce number when you by discursive reason range through things that exist by themselves, and which do not depend for their existence on your enumeration; for you add nothing to the being of a man by enumerating him with another. That is no unity, as in a "choric ballet." When you say, ten men, "ten" exists only in you who are enumerating. We could not assert that "ten" exists in the ten men you are enumerating, because these men are not co-ordinated so as to form a unity; it is you yourself who produce ten by enumerating this group of ten, and by making up a quantity. But when you say, a "choric ballet," an "army," there is something which exists outside of these objects, and within yourself. How are we to understand that the number exists in you? The number which existed in you before you made the enumeration has another mode (of existence) (than the number that you produce by enumeration). As to the number which manifests itself in exterior objects and refers to the number within yourself, it constitutes an actualization of the essential numbers, or, is conformable to the essential Numbers; for, while enumerating you produce a number, and by this actualization you give hypostatic existence to quantity, as in walking you did to movement.

THE NUMBER WITHIN IS THE NUMBER CONSTITUTIVE OF OUR BEING.

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

HOW A NUMBER MAY BE CALLED INFINITE.

As the reasons here advanced would seem to imply that every number is limited, we may ask in which sense may a number be said to be infinite? This conclusion is right, for it is against the nature of number to be infinite. Why do people then often speak of a number as infinite? Is it in the same sense that one calls a line infinite? A line is said to be infinite, not that there really exists an infinite line of this kind, but to imply the conception of a line as great as possible, greater than any given line. Similarly with number. When we know which is the number (of certain objects), we can double it by thought, without, on that account, adding any other number to the first. How indeed would it be possible to add to exterior objects the conception of our imagination, a conception that exists in ourselves exclusively? We shall therefore say that, among intelligible entities, a line is infinite; otherwise, the intelligible line would be a simple quantative expression. If however the intelligible line be not this, it must be infinite in number; but we then understand the word "infinite" in a sense other than that of having no limits that could not be transcended. In what sense then is the word "infinite" here used? In the sense that the conception of a limit is not implied in the being of a line in itself.

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

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

But are the figures in the living Organism as such, or, if it cannot be doubted that they are in the living Organism, do they anteriorly exist in the Intelligence? If the Organism contained Intelligence, the figures would be in the first degree in the Organism. But as it is the Intelligence that contains the Organism, they are in the first degree in Intelligence. Besides, as the souls are contained in the perfect living Organism, it is one reason more for the priority of the Intelligence. But Plato says, "Intelligence sees the Ideas comprised within the perfect living Organism." Now, if it see the Ideas contained in the perfect living Organism, Intelligence must be posterior to the latter. By the words "it sees" it should be understood that the existence of the living Organism itself is realized in this vision. Indeed, the Intelligence which sees is not something different from the Organism which is seen; but (in Intelligence) all things form but one. Only, thought has a pure and simple sphere, while the Organism has an animated sphere. INFINITY IN NUMBER ARISES FROM POSSIBILITY OF INCREASING GREATEST IMAGINABLE PHYSICAL NUMBER.

Thus, in the intelligible world, every number is finite. But we can conceive of a number greater than any assigned number, and thus it is that our mind, while considering the numbers, produces the (notion of the) infinite. On the contrary, in the intelligible world, it is impossible to conceive a number greater than the Number conceived (by divine Intelligence); for on high Number exists eternally; no Number is lacking, or could ever lack, so that one could never add anything thereto. AS UNMEASURED THE INTELLIGIBLE NUMBER MIGHT BE CALLED INFINITE.

Nevertheless, the intelligible Number might be called infinite in the sense that it is unmeasured. By what, indeed, could it be measured? The Number that exists on high is universal, simultaneous one and manifold, constituting a whole circumscribed by no limit (a whole that is infinite); it is what it is by itself. None of the intelligible beings, indeed, is circumscribed by any limit. What is really limited and measured is what is hindered from losing itself in the infinite, and demands measure. But all of the intelligible (beings) are measures; whence it results that they are all beautiful. So far as it is a living organism, the living Organism in itself is beautiful, possessing an excellent life, and lacking no kind of life; it does not have a life mingled with death, it contains nothing mortal nor perishable. The life of the living Organism in itself has no fault; it is the first Life, full of vigor and energy, a primary Light whose rays vivify both the souls that dwell on high, and those that descend here below. This Life knows why it lives; it knows its principle and its goal; for its principle is simultaneously its goal. Besides, universal Wisdom, the universal Intelligence, which is intimately united to the living Organism, which subsists in it and with it, still improves it; heightening its hues as it were by the splendor of its wisdom, and rendering its beauty more venerable. Even here below, a life full of wisdom is that which is most venerable and beautiful, though we can hardly catch a glimpse of such a life. On high, however, the vision of life is perfectly clear; the (favored initiate) receives from Life both capacity to behold and increased vitality; so that, thanks to a more energetic life, the beholder receives a clearer vision, and he becomes what he sees. Here below, our glance often rests on inanimate things, and even when it turns towards living beings, it first notices in them that which lacks life. Besides, the life which is hidden in them is already mingled with other things. On high, on the contrary, all the (beings) are alive, entirely alive, and their life is pure. If at the first aspect you should look on something as deprived of life, soon the life within it would burst out before your eyes.

ESSENCE ALONE POSSESSES SELF-EXISTENCE. Contemplate therefore the Being that penetrates the intelligibles, and which communicates to them an immutable life; contemplate the Wisdom and Knowledge that resides within them, and you will not be able to keep from deriding this inferior nature to which the vulgar human beings attribute genuine "being." It is in this supreme "Being" that dwell life and intelligence, and that the essences subsist in eternity. There, nothing issues (from Essence), nothing changes or agitates it; for there is nothing outside of it that could reach it; if a single thing existed outside of ("being"), ("being") would be dependent on it. If anything opposed to (essence) existed, this thing would escape the action of ("being"); it would no longer owe its existence to ("being"), but would constitute a common principle anterior to it, and would be essence. Parmenides therefore was right in saying that the Essence was one; that it was immutable, not because there was nothing else (that could modify it), but because it was essence. Alone, therefore, does Essence possess self-existence. How then could one, to Essence, refuse to attribute existence, or any of the things of which it is an actualization, and which it constitutes? So long as it exists, it gives them to itself; and since it exists always, these things therefore eternally subsist within it. THE POWER AND BEAUTY OF ESSENCE IS TO ATTRACT ALL THINGS.

Such are the power and beauty of Essence that it (charms and) attracts all things, holding them as it were suspended, so that these are delighted to possess even a trace of its perfection, and seek nothing beyond, except the Good. For Essence is anterior to the Good in respect to us (when we climb up from here below to the intelligible world). The entire intelligible world aspires to the Life and Wisdom so as to possess existence; all the souls, all the intelligences likewise aspire to possess it; Essence alone is fully self-sufficient.

Of Sight; or of Why Distant Objects Seem Small. (OF PERSPECTIVE.) VARIOUS THEORIES OF PERSPECTIVE.

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. QUALITY IS MORE ESSENTIAL THAN QUANTITY.

(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.

DIFFERENCES OF COLOR AID IN THE PERCEPTION OF MAGNITUDE.

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.

DISAPPEARANCE OF THE FORM IMPLIES THAT OF THE SIZE. 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. REFUTATION OF ARISTOTLE'S "VISUAL ANGLE" THEORY.

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?

Does Happiness Increase With Time? HAPPINESS HAS NOTHING TO DO WITH DURATION OF TIME.

Does happiness increase with duration of time? No: for the feeling of happiness exists only in the present. The memory of past happiness could not add anything to happiness itself. Happiness is not a word, but a state of soul. But a state of soul is a present (experience), such as, for instance, the actualization of life. HAPPINESS IS NOT THE SATISFACTION OF THE DESIRE TO LIVE.

Might happiness not be the satisfaction of the desire of living and activity, inasmuch as this desire is ever present with us? (Hardly). First, according to this hypothesis, the happiness of to-morrow would ever be greater than that of to-day, and that of the following day than that of the day before, and so on to infinity. In this case, the measure of happiness would no longer be virtue (but duration). Then, the beatitude of the divinities will also have to become greater from day to day; it would no longer be perfect, and could never become so. Besides, desire finds its satisfaction in the possession of what is present, both now, and in the future. So long as these present circumstances exist, their possession constitutes happiness. Further, as the desire of living can be no more than the desire to exist, the latter desire can refer to the present only, inasmuch as real existence (essence) inheres only in the present. Desire for a future time, or for some later event, means no more than a desire to preserve what one already possesses. Desire refers neither to the future nor the past, but to what exists at present. What is sought is not a perpetual progression in the future, but the enjoyment of what exists from the present moment onward. INCREASED HAPPINESS WOULD RESULT ONLY FROM MORE PERFECT GRASP.

What shall be said of him who lived happily during a longer period, who has longer contemplated the same spectacle? If such longer contemplation resulted in a clearer idea thereof, the length of time has served some useful purpose; but if the agent contemplated it in the same manner for the whole extent of time, he possesses no advantage over him who contemplated it only once. PLEASURE IS UNCONNECTED WITH HAPPINESS.

It might be objected that the former of these men enjoyed pleasure longer than the other. This consideration has nothing to do with happiness. If by this (enjoyed) pleasure we mean the free exercise (of intelligence), the pleasure referred to is then identical with the happiness here meant. This higher pleasure referred to is only to possess what is here ever present; what of it is past is of no further value. LENGTH OF HAPPINESS DOES NOT AFFECT ITS QUALITY.

Would equal happiness be predicated of three men, one who had been happy from his life's beginning to its end, the other only at its end, and the third, who had been happy, but who ceased being such. This comparison is not between three men who are happy, but between one man who is happy, with two who are deprived of happiness, and that at the (present moment) when happiness (counts most). If then one of them have any advantage, he possesses it as a man actually happy compared with such as are not; he therefore surpasses the two others by the actual possession of happiness. IF UNHAPPINESS INCREASE WITH TIME, WHY SHOULD NOT HAPPINESS DO SO?

(It is generally agreed that) all calamities, sufferings, griefs and similar evils are aggravated in proportion to their duration. If then, in all these cases, evil be increased with time, why should not the same circumstance obtain in the contrary case? Why should happiness also not be increased? Referring to griefs and sufferings, it might reasonably be said that they are increased by duration. When, for example, sickness is prolonged, and becomes a habitual condition, the body suffers more and more profoundly as time goes on. If, however, evil ever remain at the same degree, it does not grow worse, and there is no need of complaining but of the present. Consideration of the past evil amounts to considering the traces left by evil, the morbid disposition whose intensity is increased by time, because its seriousness is proportionate to its duration. In this case it is not the length of time, but the aggravation of the evil which adds to the misfortune. But the new degree (of intensity) does not subsist simultaneously with the old, and it is unreasonable to predicate an increase as summation of what is no more to what now is. On the contrary, it is the fixed characteristic of happiness to have a fixed term, to remain ever the same. Here also the only increase possibly due to duration of time depends on the relation between an increase in virtue and one in happiness; and the element to be reckoned with here is not the number of years of happiness, but the degree of virtue finally acquired.

AS ADDITION IS POSSIBLE WITH TIME, WHY CANNOT HAPPINESS INCREASE?

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

NOT EVEN MEMORIES OF THE PAST INCREASE HAPPINESS.

Somebody might object that by subsisting till the present, the memory of the past adds something more to him who has long lived happily. In this case it will be necessary to examine what is meant by this memory. If it mean the memory of former wisdom, and if it mean that he who would possess this memory would become wiser on account of it, then this memory differs from our question (which studies happiness, and not wisdom). If it mean the memory of pleasure, it would imply that the happy man has need of much pleasure, and cannot remain satisfied with what is present. Besides, there is no proof that the memory of a past pleasure is at all pleasant; on the contrary, it would be entirely ridiculous to remember with delight having tasted a delicious dish the day before, and still more ridiculous remembering such an enjoyment ten years ago. It would be just as ridiculous to pride one self on having been a wise man last year. NOT EVEN THE MEMORY OF VIRTUE INCREASES HAPPINESS.

Could not the memory of virtuous actions contribute to happiness? No: for such a memory cannot exist in a man who has no virtue at present, and who thereby is driven to seek out the memory of past virtues. LENGTH OF TIME IS OF NO IMPORTANCE, NOT EVEN AS OPPORTUNITY OF VIRTUE.

Another objection is that length of time would give opportunity for doing many beautiful deeds; while this opportunity is denied him who lives happily only a short period. This may be answered by denying happiness to a man on the grounds of having done many beautiful deeds. If several parts of time and several actions are to constitute happiness, then it would be constituted by things that are no more, that are past, and by present things; whereas our definition of happiness limits it exclusively to the present. Then we considered whether length of time add to happiness. There remains only to examine whether happiness of long duration be superior because of yielding opportunities of doing more beautiful deeds. To begin with, the man who is inactive may be just as happy, if not more happy than he who is active. Besides, it is not actions themselves which yield happiness; (the sources of happiness) are states of mind, which are the principles of beautiful actions. The wise man enjoys welfare while active, but not because of this activity; he derives (this welfare) not from contingent things, but from what he possesses in himself. For it might happen even to a vicious man to save his fatherland, or to feel pleasure in seeing it saved by some other. It is not then these activities which are the causes of the enjoyment of happiness. True beatitude and the joys it yields must be derived from the constant disposition of the soul. To predicate it of activity, would be to make it depend on things alien to virtue and the soul. The soul's actualization consists in being wise, and in exercising her self-activity; this is true happiness.

About Mixture to the Point of Total Penetration. REFUTATION OF ANAXAGORAS AND DEMOCRITUS.

The subject of the present consideration is mixture to the point of total penetration of the different bodies. This has been explained in two ways: that the two liquids are mingled so as mutually to interpenetrate each other totally, or that only one of them penetrates the other. The difference between these two theories is of small importance. First we must set aside the opinion of (Anaxagoras and Democritus), who explain mixture as a juxtaposition, because this is a crude combination, rather than a mixture. Mixture should render the whole homogeneous, so that even the smallest molecules might each be composed of the various elements of the mixture. REFUTATION OF ARISTOTLE AND ALEXANDER OF APHRODISIAS.

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. REFUTATION OF THE STOICS.

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. EXPLANATION OF MIXTURE THAT OCCUPIES MORE SPACE THAN ITS ELEMENTS.

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

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

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

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

REFUTATION OF PERIPATETIC EXPLANATION OF EVAPORATION. 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. THE BODY IS RATIONALIZED MATTER.

Since we have spoken of corporeity, it must be analyzed. Is it a composite of all qualities, or does it constitute a form, a "reason," which produces the body by presence in matter? If the body be the composite of all the qualities together with matter, this totality of qualities will constitute corporeity. But if corporeity be a reason which produces the body by approaching matter, doubtless it is a reason which contains all the qualities. Now, if this reason be not at all a definition of being, if it be a reason productive of the object, it will not contain any matter. It is the reason which applies itself to matter, and which, by its presence, produces the body there. Body is matter with indwelling "reason." This "reason," being a form, may be considered separately from matter, even if it were entirely inseparable therefrom. Indeed, "reason" separated (from matter), and residing in intelligence, is different (from "reason" united to matter); the "Reason" which abides within Intelligence is Intelligence itself. But this subject (I shall) refer to elsewhere.

How Ideas Multiplied, and the Good. A. HOW IDEAS MULTIPLY. THE EYES WERE IMPLANTED IN MAN BY DIVINE FORESIGHT.