Transcriber's Notes

This is part of a four-volume set. It contains many references to passages in this volume, other volumes of this set, and other books by various authors.

In Volume I, links to all four volumes, including the other three at Project Gutenberg, have been provided in the cross-reference lists in the first 39 pages. The [Concordance] in Volume IV also contains links to all four volumes. No other external links have been provided.

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Each volume of this set contains irregularities that are summarized in the [Transcriber's Notes] at the end of that volume.

VOLUME III.
WORKS OF PLOTINOS

PLOTINOS
Complete Works

In Chronological Order, Grouped in Four Periods;

With
BIOGRAPHY by Porphyry, Eunapius, & Suidas,
COMMENTARY by Porphyry,
ILLUSTRATIONS by Jamblichus & Ammonius,
STUDIES in Sources, Development, Influence;
INDEX of Subjects, Thoughts and Words.

by
Kenneth Sylvan Guthrie,
Professor in Extension, University of the South, Sewanee;
A.M., Sewanee, and Harvard; Ph.D., Tulane, and Columbia.
M.D., Medico-Chirurgical College, Philadelphia.

Vol. III
Porphyrian Books, 34–45.

COMPARATIVE LITERATURE PRESS

P. O. Box 42, ALPINE, N.J., U.S.A.

Copyright, 1918, by Kenneth Sylvan Guthrie.
All Rights, including that of Translation, Reserved.

Entered at Stationers' Hall, by
George Bell and Sons, Portugal Street, Lincoln's Inn, London.

[SIXTH ENNEAD, BOOK SIX.]
Of Numbers.

MANIFOLDNESS IS DISTANCE FROM UNITY, AND EVIL.

1. 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.

2. 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.

3. 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.[1] The infinite is determinate, but it is not any the less infinite; for it is not the limit[2] which receives the determination, but the infinite[3]; 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.[4] 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.[5]

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.[6] It may also be conceived as both being moved, and being stable[7]; 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[8]; 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.

4. 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[9] 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,[10] 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.

5. 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,[11] which they seem to have predicated of other objects, by analogy. For instance, they referred to justice as the (Tetrad, or) group-of-four,[12] 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.[13] 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"[14] 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?

6. 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,[15] 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.[16] 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.

7. 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[17]) 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.

8. 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,[18] 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.

9. 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,[19] 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[20]) 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.[21] 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.

10. 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,[22] 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.

11. 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.

12. (Aristotle[23]) 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.[24] 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,"[25] "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[26]? The case is similar with "the upper side," which refers to a certain part of the universe, and the "lower side" to another.[27] 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.

13. 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[28]; 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.[29] 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,[30] 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"[31] 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.

14. 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.[32] 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.[33]

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,[10]) 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[34] composed of some intelligible entities.

NUMBER EXISTS BEFORE EVERY ANIMAL, AND THE UNIVERSAL ANIMAL.

15. (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.[35] 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.[36]

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[21] of hypostatic existence for beings. That is the reason that even here below, the classified both discrete and continuous quantity[38] 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.

16. 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[38] 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.[39] 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,[40] 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.[41]

HOW A NUMBER MAY BE CALLED INFINITE.[42]

17. 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[43]; 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,[44] 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.[45] 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,[46] "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.[47]

INFINITY IN NUMBER ARISES FROM POSSIBILITY OF INCREASING GREATEST IMAGINABLE PHYSICAL NUMBER.

18. 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[48] 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.

[SECOND ENNEAD, BOOK EIGHT.]
Of Sight; or of Why Distant Objects Seem Small.[49]
(OF PERSPECTIVE.)

VARIOUS THEORIES OF PERSPECTIVE.

1. 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[50]; 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.

2. Some[51] hold that distant objects seem to us lesser only because they are seen under a smaller visual angle. Elsewhere[52] 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?

[FIRST ENNEAD, BOOK FIVE.]
Does Happiness Increase With Time?[53]

HAPPINESS HAS NOTHING TO DO WITH DURATION OF TIME.

1. 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.

2. 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.[54] 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.

3. 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.

4. 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.

5. 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.[55] 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?

6. (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?[56] 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?

7. 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.[57] 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.

8. 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.

9. 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.

10. 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.

[SECOND ENNEAD, BOOK SEVEN.]
About Mixture to the Point of Total Penetration.

REFUTATION OF ANAXAGORAS AND DEMOCRITUS.

1. 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[58]), who explain mixture as a juxtaposition, because this is a crude combination, rather than a mixture.[59] 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.[60] (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,[61] 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[62]), 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.

2. 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.[63] 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.

3. 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.[64]

[SIXTH ENNEAD, BOOK SEVEN.]
How Ideas Multiplied, and the Good.[65]

A. HOW IDEAS MULTIPLY.

THE EYES WERE IMPLANTED IN MAN BY DIVINE FORESIGHT.

1. When the (higher) Divinity, or (some lower) divinity,[66] sent souls down into generation, He gave to the face of man eyes suitable to enlighten him,[67] and placed in the body the other organs suited to the senses, foreseeing that (a living organism) would be able to preserve itself only on condition of seeing, hearing and touching contiguous objects, to enable it to select some, and to avoid others.

SENSES NOT GIVEN TO MAN BECAUSE OF EXPERIENCE OF MISFORTUNES.

But can you explain this divine foresight? You must not believe that He would have begun by making (animals) who perished for lack of senses, and that later (the divinity) gave senses to man and other animals so that they could preserve themselves from death.[68]

NOR BECAUSE OF GOD'S FORESIGHT OF THESE MISFORTUNES.

It might, indeed, be objected that (the divinity) knew that the living organism would be exposed to heat, cold, and other physical conditions; and that as a result of this knowledge, to keep them from perishing, He granted them, as tools, senses and organs. In our turn we shall ask whether the divinity gave the organs to the living organisms that already possessed the senses, or whether, He endowed souls with senses and organs simultaneously. In the latter case, though they were souls, they did not previously possess the sensitive faculties. But if the souls possessed the sensitive faculties since the time they were produced, and if they were produced (with these faculties) in order to descend into generation, then it was natural for them to do so. In this case it seems that it must be contrary to their nature to avoid generation, and to dwell in the intelligible world. They would seem made to belong to the body, and to live in evil. Thus divine Providence would retain them in evil, and the divinity would arrive at this result by reasoning; in any case, He would have reasoned.

FORESIGHT OF CREATION IS NOT THE RESULT OF REASONING.

If the divinity reason, we are forced to wonder what are the principles of this reasoning; for, if it were objected that these principles are derived from some other reasoning, we shall, nevertheless, in the process of ascending, have to find something anterior to all reasoning; namely, a point of departure. Now from whence are the principles of reasoning derived? Either from the senses or the intelligence. (Could the divinity have made use of principles derived from the senses?) (When God created) there were no senses in existence yet; therefore (the divinity must have reasoned) from principles derived from Intelligence. But if the premises were conceptions of Intelligence, then it was impossible for knowledge and reasoning to have some sense-thing as object, as reasoning that has intelligible principles and conclusion could not result in producing a conception of the sense-(world). Therefore the foresight which presided over the creation of a living being or of a whole world could not have been the result of reasoning.[69]

BOTH REASONING AND FORESIGHT ARE ONLY FIGURATIVE EXPRESSIONS.

There is indeed no reasoning in the divinity. When we speak of it, in connection with the divinity, it is only to explain that He has regulated everything as might have been done by some wise man, who would have reasoned about results. Attributing foresight to the divinity indicates merely that He has disposed everything as might have been done by some wise man who had foreseen results.[70] Indeed the only use of reasoning is to put in order things whose existence is not anterior to that of reasoning, every time that that (Intelligence), the power superior to reasoning, is not strong enough. Likewise, prevision is necessary in this case, because he who makes use of it does not possess a power that would enable him to forego or do without it. Prevision proposes to effect some one thing instead of another, and seems to fear that that which it desires might not occur. But, for a (being) which can do but one thing, both foresight and the reasoning that decides between contraries, are useless; for there is no need of reasoning when, of two contrary courses of action, one only is possible. How would the Principle which is single, unitary and simple, have need to reflect that He must do one thing, so that some other might not take place, or to judge that the second would occur as alternative to the first? How could He say that experience has already demonstrated the utility of some one thing, and that it is well to make use of it? If the divinity acted thus, then indeed would He have had recourse to prevision, and consequently, to reasoning. It is on this hypothesis that we said above that the divinity gave animals senses and faculties; but it is quite a problem to know what and how He really gave them.

IN GOD ALL THINGS WERE SIMULTANEOUS, THOUGH WHEN REALIZED THEY DEVELOPED.

Indeed, if it be admitted that in the divinity no actualization is imperfect, if it be impossible to conceive in Him anything that is not total or universal, each one of the things that He contains comprises within Himself all things. Thus as, to the divinity, the future is already present, there could not be anything posterior to Him; but what is already present in Him becomes posterior in some other (being). Now if the future be already present in the divinity, it must be present in Him as if what will happen were already known; that is, it must be so disposed as to find itself sufficiently provided for, so as not to stand in need of anything. Therefore, as all things existed already within the divinity (when living beings were created), they had been there from all eternity; and that in a manner such that it would later be possible to say, "this occurred after that." Indeed, when the things that are in the divinity later develop and reveal themselves, then one sees that the one is after the other; but, so far as they exist all together, they constitute the universal (Being), that is, the principle which includes its own cause.

IN THE INTELLIGIBLE, EVERYTHING POSSESSES ITS REASON AS WELL AS ITS FORM.

2. (By this process) we also know the nature of Intelligence, which we see still better than the other things, though we cannot grasp its magnitude. We admit, in fact, that it possesses the whatness (essence[71]), of everything, but not its "whyness" (its cause); or, if we grant (that this "cause" be in Intelligence), we do not think that it is separated (from its "whatness" (or, essence[72]). Let us suppose that, for instance, the man, or, if possible, the eye, should offer itself to our contemplation (in the intelligible world) as a statue, or as a part of it, would do. The man that we see on high is both essence[73] and cause. As well as the eye, he must be intellectual, and contain his cause. Otherwise, he could not exist in the intelligible world. Here below, just as each part is separated from the others, so is the cause separated (from the essence). On high, on the contrary, all things exist in unity, and each thing is identical with its cause. This identity may often be noticed even here below, as for instance, in eclipses.[74] It would therefore seem probable that in the intelligible world everything would, besides the rest, possess its cause, and that its cause constitutes its essence. This must be admitted; and that is the reason why those who apply themselves to grasp the characteristic[75] of each being succeed (in also grasping its cause). Indeed that which each (being) is, depends on the "cause of such a form."[76] To repeat: not only is a (being's) form its cause, (which is incontestable), but yet, if one analyses each form considered in itself, its cause will be found. The only things which do not contain their causes are those whose life is without reality, and whose existence is shadowy.

INTELLIGENCE CONTAINS THE CAUSE OF ALL ITS FORMS.

What is the origin of the cause of what is a form, which is characteristic of Intelligence? It is not from Intelligence, because the form is not separable from Intelligence, combining with it to form one single and same thing. If then Intelligence possess the forms in their fulness, this fulness of forms implies that they contain their cause. Intelligence contains the cause of each of the forms it contains. It consists of all these forms taken together, or separately. None of them needs discovery of the cause of its production, for simultaneously with its production, it has contained the cause of its hypostatic existence. As it was not produced by chance, it contains all that belongs to its cause; consequently, it also possesses the whole perfection of its cause. Sense-things which participate in form do not only receive their nature from it, but also the cause of this nature. If all the things of which this universe is composed be intimately concatenated; and if the universe, containing all things, also contain the cause of each of them; if its relation with them be the same as that of the body with its organs, which do not mature successively, but which, towards each other, are mutually related as cause and effect; so much the more, in the intelligible world, must things have their "causes," all of them in general in respect to the totality, and each independently in respect to itself.

IN THE INTELLIGIBLE WORLD EACH BEING IS ACCOMPANIED BY ITS WHYNESS.

Since all intelligible (entities) have a hypostatic consubstantial existence affording no room for chance; and as they are not separated from each other, things that are caused must bear these their causes within themselves, and each of them has some sort of a cause, though without really possessing one. If there be no cause for the existence of the intelligibles; and if, though isolated from all causes, they be self-sufficient; it can only be because they carry their cause along with them, when they are considered in themselves. As they contain nothing fortuitous, and as each of them is manifold, and as its cause is all that they contain, we might assign this cause to themselves. Thus in the intelligible world "being" is preceded, or rather accompanied by its cause, which is still more "being" than cause, or rather which becomes identified with it. What superfluousness, indeed, could there be in intelligence, unless its conceptions resemble imperfect productions? If its conceptions be perfect, one could neither discover what they lack, nor define their cause, and, since they possess everything, they also possess their cause. There, "being" and cause are united; the presence of both is recognized in each conception, in each actualization of intelligence. Let us, for instance, consider the intelligible Man; he seems complete, in his totality; all his attributes were his simultaneously from the beginning; he was always entirely complete. It is the characteristic of that which is generated not always to be what it ought to be, and to need to acquire something. The intelligible Man is eternal; he is therefore always complete; but that which becomes man must be generated (being).

INTELLIGENCE DID NOT DELIBERATE BEFORE MAKING SENSE-MAN.

3. But why could Intelligence not have deliberated before producing the sense-man? The (man we know by our senses) was (created) by similitude to the (intelligible Man), nothing can be added to him, nothing subtracted. It is a mere supposition to say that Intelligence deliberates and reasons. The theory that things were created, implies preliminary deliberation and reasoning; but (the latter becomes impossible) in the case of eternal generation, for that which originates eternally,[77] cannot be the object of a deliberation. Intelligence could not deliberate without having forgotten the course it had followed before; it cannot improve later on without implying that its beginnings were not perfectly beautiful; had they been this, they would have remained so. If things be beautiful, it is that they represent their cause well; for even here below an object is beautiful only if it possess all its legitimate possessions; that is, if it possess its proper form. It is the form that contains everything; the form contains the matter, in the sense that it fashions matter, and leaves nothing formless therein. But it would contain something formless if a man lacked some part, as, for instance, an organ such as the eye.

BEING CONTAINS ITS CAUSE.

Thus, a thing is fully explained by the clearing up of its cause. Why should there be eyebrows above the eye? That it may possess all that is implied in its being. Were these parts of the body given to man to protect him from dangers? That would be to establish within being a principle charged to watch over being. The things of which we speak are implied in the being that existed before them. Consequently, being contains within itself the cause which, if distinct from being, is nevertheless inseparable therefrom. All things are implied in each other[100]; taken together, they form the total, perfect and universal Being; their perfection is bound up with, and is inherent in their cause; thus a (creature's) "being," its "characteristic" (to ti ên einai), and its "cause" (why-ness) fall together. (Before asking an important question we must premiss that) in the intelligible world the cause that is complementary to a being is ultimately united to it. We must also premiss that, by virtue of its perfection, divine Intelligence contains the causes (as well as the beings[78]), so that it is only "a posteriori" that we observe that things are well regulated. If then the possession of senses, and indeed of particular ones, be implied in the form of man by the eternal necessity and perfection of divine Intelligence, then the intelligible Man was by no means mere intelligence, receiving the senses when descending into generation. (If then having senses be implied in the form of man), does not Intelligence incline towards the things here below? In what do these senses (which are attributed to the intelligible Man) consist? Are these senses the potentiality of perceiving sense-objects? But it would be absurd that, on high, man should from all eternity possess the potentiality of feeling, yet feel only here below, and that this potentiality should pass to actualization only when the soul became less good (by its union to the body).

SUCH QUESTIONS DEMAND SCRUTINY OF THE INTELLIGIBLE MAN.

4. To answer these questions, we would have to go back to the nature of the intelligible Man. Before defining the latter, however, it would indeed be far better to begin by determining the nature of the sense-man, on the supposition that we know the latter very well, while perhaps of the former, we have only a very inexact notion.

DIFFERENCE BETWEEN THE MAN KNOWN BY THE SENSES AND THE INTELLIGIBLE MAN.

But there are some (Aristotelians or Peripatetics) who might think that the intelligible Man and the sense-man form but one. Let us first discuss this point. Does the sense-man have a being different from the soul which produces him, and makes him live and reason? Is he the soul that is disposed in some special manner? Is he the soul that uses the body in some particular way? If man be a reasonable living organism, and if the latter be composed of soul and body, this definition of man will not be identical with that of the soul. If the man be defined as being the composite of the reasonable soul and the body, how can he be an immortal hypostatic existence? This definition suits the sense-man only from the moment that the union of the soul and the body has occurred; it expresses what will be, instead of setting forth what we call the Man-in-himself; rather than being a real determination of his characteristics, it would be only a description which would not reveal the original being. Instead of defining form engaged in matter, it indicates what is the composite of soul and body, after the union has occurred. In this case, we do not yet know what is man considered in his being, which is intelligible. To the claim that the definition of sense-things should express something composite, it might be answered, that we do acknowledge that we must not determine the consistence of each thing. Now if it be absolutely necessary to define the forms engaged in matter, we must also define the being that constitutes the man; that is necessary especially for those (Peripateticians) who, by a definition, mean a statement of a being's original "characteristics."

MAN DEFINED AS A REASONABLE SOUL.

What then is the "being" of man? This really is asking for the "man-ness" of a man, something characteristic of him, and inseparable from him. Is the genuine definition of a man that "he is a reasonable animal"? Would not this rather be the definition of the composite man? What is the being that produces the reasonable animal? In the above definition of man, "reasonable animal" means "reasonable life"; consequently, man may be called the "reasonable life." But can life exist without a soul? (No), for the soul will give the man reasonable life; and in this case, instead of being a substance, man will be only an actualization of the soul; or even, the man will be the soul herself. But if man be the reasonable soul, what objection will there be to his remaining man even when his soul should happen to pass into a different body (as that of a brute animal)?

MAN AS A SOUL SUBSISTING IN A SPECIAL REASON.

5. Man must therefore have as "reason" (or, as essence), something else than the soul. Still, in this case, man might be something composite; that is, the soul would subsist in a particular "reason," admitting that this "reason" was a certain actualization of the soul, though this actualization could not exist without its producing principle. Now such is the nature of the "seminal reasons." They do not exist without the soul; for the generating reasons are not inanimate; and nevertheless they are not the soul purely and simply. There is therefore nothing surprising in the statement that these (human) beings are ("seminal) reasons."

THESE REASONS ARE THE ACTUALIZATIONS OF THE SOUL WHICH BEGETS THE ANIMAL.

Of which soul are these reasons,[79] which do not beget the man (though they do beget the animal), then the actualization? Not of the vegetative soul; they are the actualizations of the (reasonable) soul which begets the animal,[80] which is a more powerful, and therefore a more living soul. Man is constituted[81] by the soul disposed in some manner, when present to matter disposed in some particular fashion—since the soul is some particular thing, according as she is in some particular disposition—even in the body. In the bodies, she fashions a resembling form. So far as the nature of the body allows it, she thus produces an image of the man, as the painter himself makes an image of the body; she produces, I repeat, an inferior man (the sense-man, the animal), which possesses the form of man, his reasons, morals, dispositions, faculties, although in an imperfect manner, because he is not the first man (the intellectual man). He has sensations of another kind; sensations which, though they seem clear, are obscure, if they be compared to the superior sensations of which they are the images. The superior man (the reasonable man) is better, has a diviner soul, and clearer sensations. It is he doubtless to whom Plato refers (when he says, Man is the soul[82]); in his definition he adds, "which makes use of the body," because the diviner man dominates the soul which uses the body, and thus uses the body only in an indirect manner.[83]

NATURE OF THE COMBINATION BEGOTTEN BY THE SOUL.

In fact, the soul attaches herself to the thing begotten by the soul, because she was capable of feeling. The soul does this by vivifying it more; or rather, the soul does not attach herself thereto, but draws it to herself. She does not depart from the intelligible world, but even while remaining in contact with it, she holds the inferior soul (which constitutes the sense-man) suspended to herself; and by her reason she blends herself with this reason (or, she unites herself to this being by her "being"). That is why this man (known by the senses), who by himself is obscure, is enlightened by this illumination.

THE THREE MEN IN EACH OF US.

6. What is the relation of the sense-power within the superior Soul (or, in the rational soul)? Intelligible sensation perceives (intelligible) objects that, speaking strictly, are not sensible, and corresponds to the (intelligible) manner in which they are perceivable. Thus (by this intelligible sense-power) the Soul perceives the supersensual harmony and also the sensual, but in a manner such as the sense-man perceives it, relating it so far as possible to the superior harmony,[99] just as he relates the earthly fire to the intelligible Fire, which is above, and which the superior Soul felt in a manner suitable to the nature of this fire. If the bodies which are here below were up there also, the superior Soul would feel them and perceive them. The man who exists on high is a Soul disposed in some particular manner, capable of perceiving these objects; hence the man of the last degree (the sense-man) being the image of the intelligible Man, has reasons (faculties) which are also images (faculties possessed by the superior Man). The man who exists in the divine Intelligence constitutes the Man superior to all men. He illuminates the second (the reasonable man), who in his turn illuminates the third (the sense-man). The man of this last degree somewhat possesses the two others; he is not produced by them, he is rather united to them. The man who constitutes us actualizes himself as the man of the last degree. The third receives something of the second; and the second is the actualization of the first.[84] Each man's nature depends on the "man" according to whom he acts (the man is intellectual, reasonable, or sensual according as he exercises intelligence, discursive reason, or sensibility). Each one of us possesses the three men in one sense (potentially); and does not possess them in another (in actualization; that is, he does not simultaneously exercise intellect, reason, or sense).

FATE OF THESE THREE MEN, IN BRUTALIZATION AND IN DIVINIZATION.

When the third life (the sense-power) which constitutes the third man, is separated from the body, if the life that precedes it (the discursive reason) accompany it without nevertheless being separated from the intelligible world, then one may say that the second is everywhere the third is. It might seem surprising that the latter, when passing into the body of a brute, should drag along that part which is the being of man. This being was all beings (potentially); only, at different times, it acts through different faculties. So far as it is pure, and is not yet depraved, it wishes to constitute a man, and it is indeed a man that it constitutes; for to form a man is better (than to form a brute), and it does what is best. It also forms guardians of the superior order, but such as are still conformable to the being constituent of manhood. The (intellectual) Man, who is anterior to this being, is of a nature still more like that of the guardians, or rather, he is already a divinity. The guardian attached to a divinity is an image of him, as the sense-man is the image of the intellectual man from whom he depends; for the principle to which man directly attaches himself must not be considered as his divinity. There is a difference here, similar to that existing between the souls, though they all belong to the same order.[86] Besides, those guardians whom Plato simply calls "guardians" (demons), should be called guardian-like, or "demonic" beings.[87] Last, when the superior Soul accompanies the inferior soul which has chosen the condition of a brute, the inferior soul which was bound to the superior soul—even when she constituted a man—develops the ("seminal) reason" of the animal (whose condition she has chosen); for she possesses that "reason" in herself; it is her inferior actualization.

ANIMAL SEMINAL REASONS MAY BE CONTRARY TO SOUL'S NATURE; THOUGH NOT TO THE SOUL HERSELF.

7. It may however be objected that if the soul produce the nature of a brute only when she is depraved and degraded, she was not originally destined to produce an ox or a horse; then the ("seminal) reason" of the horse, as well as the horse itself, will be contrary to the nature (of the soul). No: they are inferior to her nature, but they are not contrary to her. From her very origin, the soul was (potentially) the ("seminal) reason" of a horse or a dog. When permitted, the soul which was to beget an animal, produces something better; when hindered, she (only) produces what accords with the circumstances. She resembles the artists who, knowing how to produce several figures, create either the one they have received the order to create, or the one that is most suited to the material at hand. What hinders the (natural and generative) power of the universal Soul, in her quality of universal ("seminal) Reason," from sketching out the outlines of the body, before the soul powers (or, individual souls) should descend from her into matter? What hinders this sketch from being a kind of preliminary illumination of matter? What would hinder the individual soul from finishing (fashioning the body sketched by the universal Soul), following the lines already traced, and organizing the members pictured by them, and becoming that which she approached by giving herself some particular figure, just as, in a choric ballet, the dancer confines himself to the part assigned to him?

THE SENSE-WORLD AND THE INTELLIGIBLE WORLD ARE CONNECTED BY THE MANIFOLD TRIPLE NATURE OF MAN.

Such considerations have been arrived at merely as result of scrutiny of the consequences of the principles laid down. Our purpose was to discover how sensibility occurs in the man himself, without intelligible things falling into generation. We recognized and demonstrated that intelligible things do not incline towards sense-things, but that, on the contrary, it is the latter that aspire and rise to the former, and imitate them; that the sense-man derives from the intellectual man the power of contemplating intelligible entities, though the sense-man remain united to sense-things, as the intellectual man remains united to the intelligible entities. Indeed, intelligible things are in some respects sensual; and we may call them such because (ideally) they are Bodies, but they are perceived in a manner different from bodies. Likewise, our sensations are less clear than the perception which occurs in the intelligible world, and that we also call Sensation, because it refers to Bodies (which exist on high only in an ideal manner). Consequently, we call the man here below sensual because he perceives less well things which themselves are less good; that is, which are only images of intelligible things. We might therefore say that sensations here below are obscure thoughts, and that the Thoughts on high are distinct Sensations. Such are our views about sensibility.

INTELLIGIBLE ANIMALS DO NOT INCLINE TOWARDS THE SENSE-WORLD FOR THEY ARE PRE-EXISTING, AND ARE DISTINCT FROM THEIR CREATING IMAGE.

8. (Now let us pass to the other question we asked). How does it happen that all the Animals who, like the Horse itself, are contained in divine Intelligence, do not incline towards the things here below (by generating them)? Doubtless, to beget a horse, or any other animal here below, divine Intelligence must hold its conception; nevertheless it must not be believed that it first had the volition of producing the horse, and only later its conception. Evidently, it could not have wished to produce the horse, but because it already had the conception thereof; and it could not have had the conception thereof but because it had to produce the horse. Consequently, the Horse who was not begotten preceded the horse who later was to be begotten. Since the first Horse has been anterior to all generation, and was not conceived to be begotten, it is not because the divine Intelligence inclines towards the things here below, nor because it produces them, that it contains the intelligible Horse and the other beings. The intelligible entities existed already in Intelligence (before it begat) and the sense-things were later begotten by necessary consequence; for it was impossible that the procession should cease with the intelligibles. Who indeed could have stopped this power of the (Intelligence) which is capable of simultaneous procession, and of remaining within itself?

IRRATIONAL ANIMALS MUST EXIST WITHIN INTELLIGENCE, UNLESS MAN ALONE WAS TO EXIST.

But why should these Animals (devoid of reason) exist in the divine Intelligence? We might understand that animals endowed with reason might be found within it; but does this multitude of irrational animals seem at all admirable? Does it not rather seem something unworthy of the divine Intelligence? Evidently the essence which is one must be also manifold, since it is posterior to the Unity which is absolutely simple; otherwise, instead of being inferior to it, it would fuse with it. Being posterior to that Unity, it could not be more simple, and must therefore be less so. Now as the unity was the One who is excellent, essence had to be less unitary, since multiplicity is the characteristic of inferiority. But why should essence not be merely the "pair" (instead of the manifold)? Neither of the elements of the Pair could any longer be absolutely one, and each would itself become a further pair; and we might point out the same thing of each of the new elements (in which each element of the primary Pair would have split up). Besides, the first Pair contains both movement and stability; it is also intelligence and perfect life. The character of Intelligence is not to be one, but to be universal; it therefore contains all the particular intelligences; it is all the intelligences, and at the same time it is something greater than all. It possesses life not as a single soul, but as a universal Soul, having the superior power of producing individual souls. It is besides the universal living Organism (or, Animal); consequently, it should not contain man alone (but also all the other kinds of animals); otherwise, man alone would exist upon the earth.

MANY ANIMALS ARE NOT SO IRRATIONAL AS DIFFERENT.

9. It may be objected that Intelligence might (well) contain the ideas of animals of a higher order. But how can it contain the ideas of animals that are vile, or entirely without reason? For we should consider vile every animal devoid of reason and intelligence, since it is to these faculties that those who possess them owe their nobility. It is doubtless difficult to understand how things devoid of reason and intelligence can exist in the divine Intelligence, in which are all beings, and from which they all proceed. But before beginning the discussion of this question, let us assume the following verities as granted: Man here below is not what is man in the divine Intelligence, any more than the other animals. Like them, in a higher form, he dwells within (the divine Intelligence); besides, no being called reasonable may be found within it, for it is only here below that reason is employed; on high the only acts are those superior to discursive reason.[88]

Why then is man here below the only animal who makes use of reason? Because the intelligence of Man, in the intelligible world, is different from that of other animals, and so his reason here below must differ from their reason; for it can be seen that many actions of other animals imply the use of judgment.

(In reply, it might be asked) why are not all animals equally rational? And why are not all men also equally rational? Let us reflect: all these lives, which represent as many movements; all these intelligences, which form a plurality; could not be identical. Therefore they had to differ among each other, and their difference had to consist in manifesting more or less clearly life and intelligence; those that occupy the first rank are distinguished by primary differences; those that occupy the second rank, by secondary differences; and so forth. Thus, amidst intelligences, some constitute the divinities, others the beings placed in the second rank, and gifted with reason; further, other beings that we here call deprived of reason and intelligence really were reason and intelligence in the intelligible world. Indeed, he who thinks the intelligible Horse, for instance, is Intelligence, just as is the very thought of the horse. If nothing but thought existed, there would be nothing absurd in that this thought, while being intellectual, might, as object, have a being devoid of intelligence. But since thought and the object thought fuse, how could thought be intellectual unless the object thought were so likewise? To effect this, Intelligence would, so to speak, have to render itself unintelligent. But it is not so. The thing thought is a determinate intelligence, just as it is a determinate life. Now, just as no life, whatever it be, can be deprived of vitality, so no determinate intelligence can be deprived of intellectuality. The very intelligence which is proper to an animal, such as, for instance, man, does not cease being intelligence of all things; whichever of its parts you choose to consider, it is all things, only in a different manner; while it is a single thing in actualization, it is all things in potentiality. However, in any one particular thing, we grasp only what it is in actualization. Now what is in actualization (that is, a particular thing), occupies the last rank. Such, in Intelligence, for instance, is the idea of the Horse. In its procession, Intelligence continues towards a less perfect life, and at a certain degree constitutes a horse, and at some inferior degree, constitutes some animal still inferior; for the greater the development of the powers of Intelligence, the more imperfect these become. At each degree in their procession they lose something; and as it is a lower degree of essence that constitutes some particular animal, its inferiority is redeemed by something new. Thus, in the measure that life is less complete in the animal, appear nails, claws, or horns, or teeth. Everywhere that Intelligence diminishes on one side, it rises on another side by the fulness of its nature, and it finds in itself the resources by which to compensate for whatever it may lack.

APPARENT IMPERFECTIONS ARE ONLY LOWER FORMS OF PERFECTION.

10. But how can there be anything imperfect in the intelligible world? Why does the intelligible Animal have horns? Is it for its defense?[89] To be perfect and complete. It is to be perfect as an animal, perfect as intelligence, and perfect as life; so that, if it lack one quality, it may have a substitute. The cause of the differences, is that what belongs to one being finds itself replaced in another being by something else; so that the totality (of the beings) may result in the most perfect Life, and Intelligence, while all the particular beings which are thus found in the intelligible essence are perfect so far as they are particular.

CO-EXISTENCE OF UNITY AND MULTIPLICITY DEMANDS ORGANIZATION IN SYSTEM.

The essence must be simultaneously one and manifold. Now it cannot be manifold if all the things that exist within it be equal; it would then be an absolute unity. Since therefore (essence) forms a composite unity, it must be constituted by things which bear to each other specific differences, such that its unity shall allow the existence of particular things, such as forms and reasons (beings). The forms, such as those of man, must contain all the differences that are essential to them. Though there be a unity in all these forms, there are also things more or less delicate (or highly organized), such as the eye or the finger. All these organs, however, are implied in the unity of the animal, and they are inferior only relatively to the totality. It was better that things should be such. Reason (the essence of the animal) is animal, and besides, is something different from the animal. Virtue also bears a general character, and an individual one. The totality (of the intelligible world) is beautiful, because what is common (to all beings), does not offer any differences.

BUT HOW COULD THE INTELLIGIBLE WORLD CONTAIN VEGETABLES OR METALS?

11. (The Timaeus of Plato[90]) states that heaven has not scorned to receive any of the forms of the animals, of which we see so great a number. The cause must be that this universe was to contain the universality of things. Whence does it derive all the things it contains? From on high? Yes, it received from above all the things that were produced by reason, according to an intelligible form. But, just as it contains fire and water, it must also contain plant-life. Now, how could there be plant-life in the intelligible world? Are earth and fire living entities within it? For they must be either living or dead entities; in the latter case, not everything would be alive in the intelligible world. In what state then do the above-mentioned objects find themselves on high (in the intelligible world)?

First it can be demonstrated that plants contain nothing opposed to reason; since, even here below, a plant contains a "reason" which constitutes its life.[91] But if the essential "reason" of the plant, which constitutes it, is a life of a particular kind, and a kind of soul, and if this "reason" itself be a unity, is it the primary Plant? No: the primary Plant, from which the particular plant is derived, is above that "reason." The primary Plant is unity; the other is multiple, and necessarily derives from this unity. If so, the primary Plant must possess life in a still higher degree, and be the Plant itself from which the plants here below proceed, which occupy the second or third rank, and which derive from the primary Plant the traces of the life they reveal.

HOW THE EARTH EXISTS IN THE INTELLIGIBLE.

But how does the earth exist in the intelligible world? What is its essence? How can the earth in the intelligible world be alive there? Let us first examine our earth, that is, inquire what is its essence? It must be some sort of a shape, and a reason; for the reason of the plant is alive, even here below. Is there then a living ("seminal) reason" in the earth also? To discover the nature of the earth, let us take essentially terrestrial objects, which are begotten or fashioned by it. The birth of the stones, and their increase, the interior formation of mountains, could not exist unless an animated reason produced them by an intimate and secret work. This reason is the "form of the earth,"[92] a form that is analogous to what is called nature in trees. The earth might be compared to the trunk of a tree, and the stone that can be detached therefrom to the branch that can be separated from the trunk. Consideration of the stone which is not yet dug out of the earth, and which is united to it as the uncut branch is united to the tree, shows that the earth's nature, which is a productive force, constitutes a life endowed with reason; and it must be evident that the intelligible earth must possess life at a still higher degree, that the rational life of the earth is the Earth-in-itself, the primary Earth, from which proceeds the earth here below.

THE FIRE AS IT IS IN THE INTELLIGIBLE WORLD.

If fire also be a reason engaged in matter, and in this respect resemble the earth, it was not born by chance. Whence would it come?[93] Lucretius thought it came from rubbing (sticks or stones). But fire existed in the universe before one body rubbed another; bodies already possess fire when they rub up against one another; for it must not be believed that matter possesses fire potentially, so that it is capable of producing it spontaneously. But what is fire, since the principle which produces the fire, giving it a form, must be a "reason"? It is a soul capable of producing the fire, that is, a "reason" and a life, which (fuse) into one thing. That is why Plato says that in every object there is a soul[94]; that is, a power capable of producing the sense-fire. Thus the principle which produces the fire in our world is a "fiery life," a fire that is more real than ours. Since then the intelligible Fire is a fire more real than ours, it also possesses a moral life. The Fire-in-itself therefore possesses life. There is a similar "reason" in the other elements, air and water. Why should not these things be as animated as earth is? They are evidently contained in the universal living Organism, and they constitute parts thereof. Doubtless life is not manifest in them, any more than in the earth; but it can be recognized in them, as it is recognized in the earth, by its productions; for living beings are born in the fire, and still more in the water, as is better known; others also are formed in the air. The flames that we daily see lit and extinguished do not manifest in the universal Soul (because of the shortness of their duration); her presence is not revealed in the fire, because she does not here below succeed in reaching a mass of sufficient permanency.

WATER AND AIR AS INTELLIGIBLE ENTITIES.

It is not otherwise with water and air. If by their nature these elements were more consistent, they would reveal the universal Soul; but as their essence is dispersed, they do not reveal the power that animates them. In a similar case are the fluids occurring in our body, as, for instance, the blood; the flesh, which seems animated, is formed at the expense of the blood.[95] The latter must therefore enjoy the presence of the soul, though it seem deprived of the (soul) because (the blood) manifests no sensibility, opposes no resistance, and by its fluidity easily separates itself from the soul that vivifies it, as happens to the three elements already mentioned. Likewise the animals which Nature forms out of condensed air feel without suffering.[96] As fixed and permanent light penetrates the air so long as the air itself is permanent, the soul also penetrates the atmosphere surrounding her without being absorbed by it. Other elements are in the same case.

THE INTELLIGIBLE WORLD IS A COMPLETE MODEL OF THIS OUR UNIVERSE.

12. We therefore repeat that since we admit that our universe is modeled on the intelligible World, we should so much the more recognize that the latter is the universal living Organism, which constitutes all things because it consists of perfect essence. Consequently in the intelligible world, the heavens also are an animated being, not even lacking what here below are called the stars; indeed the latter are what constitutes the heavens' essence. Neither is the Earth on high something dead; for it is alive, containing all the Animals that walk on the ground, and that are named terrestrial, as well as Vegetation whose foundation is life. On high exist also the Sea and the Water in universal condition, in permanent fluidity and animation, containing all the Animals that dwell in the water. Air also forms part of the intelligible world, with the Animals that inhabit the air, and which on high possess a nature in harmony with it. How indeed could the things contained in a living being not also themselves be living beings? Consequently they are also such here below. Why indeed should not all the animals necessarily exist in the intelligible World? The nature of the great parts of this world indeed necessarily determines the nature of the animals that these parts contain. Thus from the "having" and "being" (existence and nature) of the intelligible world is derived that of all the beings contained therein. These things imply each other. To ask the reason for the existence of the Animals contained in the intelligible world, is to ask why exists this very world itself, or the universal living Organism, or, what amounts to the same thing, why exist the universal Life, the universal Soul, in which are found no fault, no imperfection, and from which everywhere overflows the fulness of life.

ALL THINGS UNITED BY A COMMON SOURCE.

All these things derive from one and the same source; it is neither a breath nor a single heat; but rather a single quality, which contains and preserves within itself all the qualities, the sweetness of the most fragrant perfumes, the flavor of the wine, and of the finest tasty juices, the gleam of the most flashing colors, the softness of the objects which flatter touch with the greatest delicacy, the rhythm and harmony of all the kinds of sounds which can charm the hearing.

SIMPLICITY OF THE INTELLIGIBLE DOES NOT DENY COMPOSITENESS, BUT INFERS HEIGHT OF SOURCE.

13. Neither Intelligence, nor the Soul that proceeds therefrom, are simple; both contain the universality of things with their infinite variety, so far as these are simple, meaning that they are not composite, but that they are principles and actualizations; for, in the intelligible world, the actualization of what occupies the last rank is simple; the actualization of what occupies the first rank is universal. Intelligence, in its uniform movement, always trends towards similar and identical things; nevertheless, each of them is identical and single, without being a part; it is on the contrary universal, because what, in the intelligible world, is a part, is not a simple unit, but a unity that is infinitely divisible. In this movement, Intelligence starts from one object, and goes to another object which is its goal. But does all that is intermediary resemble a straight line, or to a uniform and homogeneous body? There would be nothing remarkable about that; for if Intelligence did not contain differences, if no diversity awoke it to life, it would not be an actualization; its state would not differ from inactivity. If its movement were determined in a single manner, it would possess but a single kind of (restricted) life, instead of possessing the universal Life. Now it should contain an universal and omnipresent Life; consequently, it must move, or rather have been moved towards all (beings). If it were to move in a simple and uniform manner, it would possess but a single thing, would be identical with it, and no longer proceed towards anything different. If however it should move towards something different, it would have to become something different, and be two things. If these two things were then to be identical, Intelligence would still remain one, and there would be no progress left; if, on the contrary, these two things were to be different, it would be proceeding with this difference, and it would, by virtue of this difference joined to its divinity, beget some third thing. By its origin, the latter is simultaneously identical and different; not of some particular difference, but of all kinds of difference, because the identity it contains is itself universal. Thus being universal difference as well as universal identity, this thing possesses all that is said to be different; for its nature is to be universal differentiation (to spread over everything, to become everything else). If all these differences preceded this (Intelligence), the latter would be modified by them. If this be not the case, Intelligence must have begotten all the differences, or rather, be their universality.

INTELLIGENCE EVOLVES OVER THE FIELD OF TRUTH.

Essences ("beings") therefore cannot exist without an actualization of Intelligence. By this actualization, after having produced some ("being"), Intelligence always produces some other one, somehow carrying out the career which it is natural for veritable Intelligence to carry out within itself; this career is that of the beings, of which each corresponds to one of its evolutions, (or, it roams around among beings, so that through its roaming around these beings unite and form.) Since Intelligence is everywhere identical, its evolutions imply permanence, and they make it move around the "field of truth"[97] without ever issuing therefrom. It occupies this whole field, because Intelligence has made itself the locality where its evolutions operate, a locality which is identical with what it contains. This field is varied enough to offer a career to be fulfilled; if it were not universally and eternally varied, there would be a stopping-place where variety would cease; and, were Intelligence to stop, it would not think; and if it had never stopped, it would have existed without thought (or, it would not exist). This however, is not the case; therefore thought exists, and its universal movement produces the fulness of universal "Being." Universal "Being," however, is the thought that embraces universal Life, and which, after each thing, ever conceives some other; because, since that which within it is identical is all so different. It continually divides and ever finds something different from the others. In its march, Intelligence ever progresses from life to life, from animated (beings) to animated (beings); just as some traveller, advancing on the earth, finds all that he travels through to be earth, whatever variations thereof there may have been. In the intelligible world, the life whose field one traverses is always self-identical, but it is also always different. The result is that (this sphere of operations) does not seem the same to us, because in its evolution, which is identical, life experiences (or, traverses) things which are not the same. That however does not change this life, for it passes through different things in a uniform and identical manner. If this uniformity and identity of Intelligence were not applied to different things, Intelligence would remain idle; it would no longer exist in actualization, and no more be actualization. Now these different things constitute Intelligence itself. Intelligence is therefore universal, because this universality forms its very nature. Being thus universal, Intelligence is all things; there is nothing in it which does not contribute to its universality; and everything is different, so as to be able still to contribute to totality, by its very difference. If there were no difference, if everything in it were identical, the being of Intelligence would be diminished, inasmuch as its nature would no more co-operate towards its harmonic consummation.

INTELLIGENCE CONTAINS THE INFINITE AS SIMULTANEOUSNESS OF ONE AND MANY AND AS FRIENDSHIP.

14. By intellectual examples we can understand the nature of Intelligence, and see that it could not be a unity which does not admit any kind of difference. As example, consider the ("seminal) reason" of a plant, and that of an animal. If it be only a unity, without any kind of variety, it is not even a "reason," and what is born will be no more than matter. This "reason" must therefore contain all the organs; and, while embracing all matter, it must not leave any part of it to remain identical with any other. For instance, the face does not form a single mass; it contains the nose and the eyes. Nor is even the nose something simple; it contains different parts whose variety make of it an organ; if it were reduced to a state of absolute simplicity, it would be no more than a mass. Thus Intelligence contains the infinite, because it is simultaneously one and manifold; not indeed like a house, but as is a ("seminal) reason" which is manifold interiorly. It contains within, therefore, a sort of figure (or scheme) or even a picture, on which are interiorly drawn or inscribed its powers and thoughts; their division does not take place exteriorly, for it is entirely interior. Thus the universal living Organism embraces other living beings, within which may be discovered still smaller living beings, and still smaller powers, and so on till we arrive at the "atomic form."[98] All these forms are distinguished from each other by their division, without ever having been confounded together, though they all occur in the constitution of a single unity. Thus exists in the intelligible world that union (by Empedocles) called "friendship"; but such union is very different from that which exists in the sense-world.[163] In fact, the latter is only the image of the first, because it is formed of completely disparate elements. Veritable union however consists in forming but a single (thing) without admitting of any separation between (elements). Here below, however, objects are separated from each other.

B. A STUDY OF THE GOOD.

ALL SOULS ARE UNITED BY THEIR HIGHEST, WITH INTELLIGENCE SHINING DOWN FROM THE PEAK THEY FORM.

15. Who then will be able to contemplate this multiple and universal Life, primary and one, without being charmed therewith, and without scorning every other kind of life? For our lives here below, that are so weak, impotent, incomplete, whose impurity soils other lives, can be considered as nothing but tenebrous. As soon as you consider these lives, you no longer see the others, you no longer live with these other lives in which everything is living; which are relieved of all impurity, and of all contact with evil. Indeed, evil reigns here below only[164]; here where we have but a trace of Intelligence and of the intelligible life. On the contrary, in the intelligible world exists "that archetype which is beneficent (which possesses the form of Good"), as says Plato,[101] because it possesses good by the forms (that is, by the ideas). Indeed, the absolute Good is something different from the Intelligence which is good only because its life is passed in contemplating the Good. The objects contemplated by Intelligence are the essences which have the form of Good, and which it possesses from the moment it contemplates the Good. Intelligence receives the Good, not such as the Good is in itself, but such as Intelligence is capable of receiving it. The Good is indeed the supreme principle. From the Good therefore, Intelligence derives its perfection; to the Good Intelligence owes its begetting of all the intelligible entities; on the one hand, Intelligence could not consider the Good without thinking it; on the other, it must not have seen in the Good the intelligible entities, otherwise, Intelligence itself could not have begotten them. Thus Intelligence has, from the Good, received the power to beget, and to fill itself with that which it has begotten.[102] The Good does not Himself possess the things which He thus donates; for He is absolutely one, and that which has been given to Intelligence is manifold. Incapable in its plenitude to embrace, and in its unity to possess the power it was receiving, Intelligence split it up, thus rendering it manifold, so as to possess it at least in fragments. Thus everything begotten by Intelligence proceeds from the power derived from the Good, and bears its form; as intelligence itself is good, and as it is composed of things that bear the form of Good, it is a varied good. The reader may be assisted in forming a conception of it by imagining a variegated living sphere, or a composite of animated and brilliant faces. Or again, imagine pure souls, pure and complete (in their essence), all united by their highest (faculties), and then universal Intelligence seated on this summit, and illuminating the whole intelligible region. In this simile, the reader who imagines it considers it as something outside of himself; but (to contemplate Intelligence) one has to become Intelligence, and then give oneself a panorama of oneself.

INTELLIGENCE CONTAINS ALL THINGS THAT ARE CONFORMED TO THE GOOD.

16. Instead of stopping at this multiple beauty, it must be abandoned to rise (to the Good), the supreme principle. By reasoning not according to the nature of our world, but according to that of the universal Intelligence, we should with astonishment ask ourselves which is the principle that has begotten it, and how it did so.[103] Each one (of the essences contained in the Intelligence) is a (particular) form, and somehow has its own type. As their common characteristic is to be assimilated to the Good, the consequence is that Intelligence contains all the things conformable to the Good. It possesses therefore the essence which is in all things; it contains all the animals, as well as the universal Life within them, and all the rest.

THE GOOD IS NOT ONLY THE CAUSE OF BEING, BUT ITS INTUITION AS WELL.

Why must these things be considered as goods, when considered from this point of view? The solution of this problem may be arrived at from the following consideration. When for the first time Intelligence contemplated the Good, this its contemplation split the Good's unity into multiplicity. Though itself were a single being, this its thought divided the unity because of its inability to grasp it in its entirety. To this it may be answered that Intelligence was not yet such the first time it contemplated the Good. Did it then contemplate the Good without intelligence? Intelligence did not yet see the Good; but Intelligence dwelt near it, was dependent on it, and was turned towards it.[104] Having arrived at its fulness, because it was operating on high, and was trending towards the Good, the movement of Intelligence itself led it to its fulness; since then it was, no longer a single movement, but a movement perfect and complete. It became all things, and possessing self-consciousness, it recognized that itself was all things. It thus became intelligence, which possesses its fulness so as to contain what it should see, and which sees by the light that it receives from Him from whom it derives what it sees. That is why the Good is said to be not only the cause of "being," but rather the cause of the vision of "being." As for sense-objects, the sun is the cause that makes them exist, and renders them visible, as it is also the cause of vision, and as however the sun is neither the vision nor the visible objects, likewise the Good is the cause of being and of intelligence,[105] it is a light in respect of the beings that are seen and the Intelligence that sees them; but it is neither the beings nor the Intelligence; it is only their cause; it produces thought by shedding its light on the beings and on Intelligence. It is thus that Intelligence has arrived to fulness, and that on arriving at fulness it has become perfect and has seen. That which preceded its fulness is its principle. But it has another principle (which is the Good), which is somewhat exterior to it, and which gave it its fulness, and while giving it this fulness impressed on it the form (of itself, the Good).

ALL IS INTELLIGENCE; BUT THIS IS DIFFERENTIATED INTO UNIVERSAL AND INDIVIDUAL.

17. How can (these beings) exist within Intelligence, and constitute it, if they were neither in that which has given, nor in that which has received this fulness, since, before receiving its fulness from the Good, Intelligence had not yet received (these beings)? It is not necessary that a principle should itself possess what it gives; in intelligible things, it suffices to consider the giver superior, and the receiver inferior; that (giving and receiving) is the content of generation in the order of veritable beings.[106] What occupies the front rank must be in actualization; posterior things must be in potentiality of what precedes them. What occupies the front rank is superior to what occupies the second rank; the giver, likewise is superior to the gift, because it is better. If then there be a Principle anterior to actualization, it must be superior both to actualization and to life; and because it gave life to Intelligence it is more beautiful, still more venerable than Life. Thus Intelligence received life, without necessity for the principle from which it received life having had to contain any variety. Life is the impress of Him who gave it, but it is not his life. When Intelligence glanced towards Him, it was indeterminate; as soon as it fixed its glance on Him, it was determined by Him, although He himself had no determination. As soon indeed as Intelligence contemplated the One, Intelligence was determined by Him, and from Him it received its determination, limit and form. The form exists in the receiver; the giver has none of it. This determination has not been imposed from without on Intelligence as is the case for the limit imposed on some magnitude; it is the determination characteristic of that Life, which is universal, multiple and infinite, because it has radiated from the supreme Nature. That Life was not yet the life of any particular principle; otherwise, it would have been determined as an individual life. Nevertheless it has been determined, and by virtue of that determination it is the life of a multiple unity. Each one of the things that constitute its multiplicity has likewise been determined. Indeed, life has been determined as multiplicity (of beings) because of its own multiplicity; as unity, because of the very determination it has received. What has been determined as unity? Intelligence, because it is the determined life. What was determined as multiplicity? The multiplicity of intelligences. Everything therefore is intelligence; only, the Intelligence that is one is universal; while the intelligences which form multiplicity are individual.

MULTIPLICITY OF INTELLIGENCES IMPLIES THEIR MUTUAL DIFFERENCES.

If universal Intelligence comprises all the individual intelligences, might not the latter all be identical? No, for then there would be but one of them. The multiplicity of the intelligences implies therefore a difference between them.[107] But how does each differ from the others? Its difference resides in its being one; for there is no identity between the universal Intelligence, and any particular intelligence. Thus, in Intelligence, life is universal power; the vision which emanates from it is the power of all things; and then Intelligence itself, when it is formed, manifests all these things to us. He who is seated above all of them is their principle, though they do not serve Him as foundation; for, on the contrary, He is the foundation of the form of the first forms, without Himself having any forms. In respect to the Soul, Intelligence plays the part that the First plays in respect to Intelligence; Intelligence sheds its light on the Soul, and, to determine her, rationalizes her by communicating that of which itself is the trace. The Intellect, therefore, is the trace of the First; and while it is a form which develops in plurality, the First has no shape nor form, so as to give form to all the rest. If itself were a form, Intelligence would be nothing more than the "reason" (the soul).[108] That is why the First could not have contained any multiplicity; otherwise, its multiplicity itself would have had to be traced to some superior principle.

LIFE, INTELLIGENCE, AND IDEA BEAR THE FORM OF THE GOOD.

18. In what respects do the (entities) which are contained by Intelligence seem to bear the form of the Good? Is it because each of them is a form, or because each is beautiful, or perhaps for some other reason? All that proceeds from the Good bears its characteristics or impressions, or at least bears something derived from it, just as that which is derived from the fire bears a trace of the fire,[109] and as that which is derived from sweetness somehow betrays it. Now that, which, in Intelligence, is derived from the Good is life, for life is born from the actualization of the Good, and from Him again is derived the beauty of forms. Therefore all these things, life, intelligence, and idea will bear the form of Good.

THIS FORM OF THE GOOD MAY, HOWEVER, EXIST AT VARYING DEGREES.

But what element is common to them? It does not suffice for them to proceed from the Good to have something identical; they must also have some common characteristic; for a same principle may give rise to different things; or again, one and the same thing may become different while passing from the giving principle into the receivers; for there is a difference between that which constitutes the first actualization, and that which is given thereby. Thus, that which is in the things of which we speak is already different. Nothing hinders the characteristic of all these things (in life, intelligence and idea) from being the form of Good, but this form exists at different degrees in each of them.

INTELLIGENCE AND LIFE ARE ONLY DIFFERENT DEGREES OF THE SAME REALITY.

In which of these things does the form of the Good inhere in the highest degree? The solution of this problem depends on the following one. Is life a good merely as such, even if it were life pure and simple? Should we not rather limit that word "life" to the life which derives from the Good, so that mere proceeding from the Good be a sufficient characterization of life? What is the nature of this life? Is it the life of the Good? No: life does not belong to the Good; it only proceeds therefrom. If the characteristic of life be proceeding from the Good, and if it be real life, evidently the result would be that nothing that proceeds from the Good would deserve scorn, that life as life should be considered good, that the same condition of affairs obtains with the primary and veritable Intelligence, and that finally each form is good and bears the form of Good. In this case, each of these (life, intelligence and idea) possess a good which is either common, or different, or which is of a different degree. Since we have admitted that each of the above-mentioned things contains a good in its being, then it is good chiefly because of this good. Thus life is a good, not in so far as it is merely life, but in so far as it is real life and proceeds from the Good. Intelligence likewise is a good so far as it essentially is intelligence; there is therefore some common element in life and intelligence. Indeed, when one and the same attribute is predicated of different beings, although it form an integral part of their being, it may be abstracted therefrom by thought; thus from "man" and "horse" may be abstracted "animal"; from "water" and "fire," "heat"; but what is common in these beings is a genus, while what is common in intelligence and life, is one and the same thing which inheres in one in the first degree, and in the other in the second.

IS THE WORD GOOD A COMMON LABEL OR A COMMON QUALITY?

Is it by a mere play on words that life, intelligence and ideas are called good? Does the good constitute their being, or is each good taken in its totality? Good could not constitute the being of each of them. Are they then parts of the Good? The Good, however, is indivisible. The things that are beneath it are good for different reasons. The primary actualization (that proceeds from the Good) is good; likewise, the determination it receives is good, and the totality of both things is good. The actualization is good because it proceeds from the Good; the determination, because it is a perfection that has emanated from the Good; and the combination of actualization and determination because it is their totality. All these things thus are derived from one and the same principle, but nevertheless they are different. Thus (in a choric ballet) the voice and the step proceed from one and the same person, in that they are all perfectly regulated. Now they are well regulated because they contain order and rhythm. What then is the content in the above-mentioned things that would make them good? But perhaps it may be objected that if the voice and step are well regulated, each one of them entirely owes it to some external principle, since the order is here applied to the things that differ from each other. On the contrary, the things of which we speak are each of them good in itself. And why are they good? It does not suffice to say that they are good because they proceed from the Good. Doubtless we shall have to grant that they are precious from the moment that they proceed from the Good, but reason demands that we shall determine that of which their goodness consists.

GOOD CANNOT BE A DESIRE OF THE SOUL.

19. Shall the decision of what is good be entrusted to the desire of the soul?[110] If we are to trust this affection of the soul, we shall be declaring that whatever is desirable for her is good; but we would not be seeking why the Good is desired. Thus, while we use demonstrations to explain the nature of every entity, we would be trusting to desire for the determination of the Good. Such a proceeding would land us in several absurdities. First, the Good would only be an attribute. Then, since our soul has several desires, and each of the latter has different objects, we would not be able to decide which of these objects would be the best, according to desire. It would be impossible to decide what would be better before we know what is good.

NO NEED TO SEEK THE CAUSE OF GOOD AS IN THE INTELLIGIBLE THE CAUSE COINCIDES WITH THE NATURE.

Shall we then define the good as the virtue characteristic of each being (as say the Stoics)? In this case, by strictly following (the course of dialectics) we would reduce the Good to being a form and a reason. But, having arrived there, what should we answer if we were asked on what grounds these things themselves are good? In imperfect things, it seems easy to distinguish the good, even though it be not pure; but in intelligible things we may not immediately succeed in discovering the Good by comparison with the inferior things. As there is no evil on high (in the intelligible world), and as excellent things exist in themselves, we find ourselves embarrassed. Perhaps we are embarrassed only because we seek the cause ("whyness") (of the good), whereas the cause ("whyness") is here identical with the nature ("whatness"), as intelligible entities are good in themselves. Nor would we have solved the problem if we were to assign some other cause (of the Good), such as the divinity, to which our reason has not yet forced us to repair. However, we cannot retire, and we must seek to arrive by some other road to something satisfactory.

PYTHAGOREAN OPPOSITIONS ARE ALSO WORTHLESS AS EXPLANATIONS OF GOOD.

20. Since therefore we have given up desires as forms in the determination of the nature and quality (of the good), shall we have recourse to other rules, such as, for instance (the Pythagorean[104]) "oppositions," such as order and disorder, proportion and disproportion, health and sickness, form and formlessness, being and destruction, consistence and its lack? Who indeed would hesitate to attribute to the form of good those characteristics which constitute the first member of each of these opposition-pairs? If so, the efficient causes of these characteristics will also have to be traced to the good; for virtue, life, intelligence and wisdom are comprised within the form of good, as being things desired by the soul that is wise.

GOOD NOT DEFINED BY INTELLIGENCE, AS THE SOUL HAS OTHER ASPIRATIONS.

It will further be suggested (by followers of Aristotle) that we stop at Intelligence, predicating goodness of it. For life and soul are images of Intelligence. It is to Intelligence that the soul aspires, it is according to Intelligence that the soul judges, it is on Intelligence that the soul regulates herself, when she pronounces that justice is better than injustice, in preferring every kind of virtue to every kind of vice, and in holding in high estimation what she considers preferable. Unfortunately, the soul does not aspire to Intelligence exclusively. As might be demonstrated in a long discussion, Intelligence is not the supreme goal to which we aspire, and not everything aspires to Intelligence, whilst everything aspires to the Good. The (beings) which do not possess intelligence do not all seek to possess it, while those who do possess it, do not limit themselves to it. Intelligence is sought only as the result of a train of reasoning, whilst Good is desired even before reason comes into play. If the object of desire be to live, to exist always, and to be active, this object is not desired because of Intelligence, but because of its being good, inasmuch as the Good is its principle and its goal. It is only in this respect that life is desirable.

THE GOOD IS INTELLIGENCE AND PRIMARY LIFE.

21. What then is the one and only cause to whose presence is due the goodness (of life, intelligence and idea)? Let us not hesitate to say: Intelligence and primary Life bear the form of Good; it is on this account alone that they are desirable; they bear the form of Good in this respect, that the primary Life is the actualization of the Good, or rather the actualization that proceeds from the Good, and that intelligence is determination of this actualization. (Intelligence and primary Life) are fascinating, and the soul seeks them because they proceed from the Good; nevertheless the soul aspires to them (only) because they fit her, and not because they are good in themselves. On the other hand, the soul could not disdain them because they bear the form of good; though[112] we can disdain something even though it be suitable to us, if it be not a good besides.[112] It is true that we permit ourselves to be allured by distant and inferior objects, and may even feel for them a passionate love; but that occurs only when they have something more than their natural condition, and when some perfection descends on them from on high. Just as the bodies, while containing a light mingled with their (substance), nevertheless need illumination by some other light to bring out their colors,[113] so the intelligible entities, in spite of the light that they contain, need to receive some other more powerful light, so as to become visible, both for themselves, and for others.

GOOD CONSISTS IN ILLUMINATION BY THE EXTREME.

22. When the soul perceives the light thus shed by the Good on the intelligible entities, she flies towards them, tasting an indescribable bliss in the contemplation of the light that illuminates them. Likewise here below, we do not like the bodies for themselves, but for the beauty that shimmers in them.[114] Each intelligible entity owes its nature to none but to itself; but it only becomes desirable when the Good, so to speak, illuminates and colors it, breathing grace into the desired object, and inspiring love into the desiring heart. As soon as the soul reacts to the influence of the Good, she feels emotion, swells with fancy, is stung by desire, and love is born within her.[115] Before reacting to the influence of good she feels no transports when facing the beauty of Intelligence; for this beauty is dead so long as it is not irradiated by the Good. Consequently the soul still remains depressed and bowed down, cold and torpid, in front of Intelligence. But as soon as she feels the gentle warmth of the Good, she is refreshed, she awakes, and spreads her wings; and instead of stopping to admire the Intelligence in front of her, she rises by the aid of reminiscence to a still higher principle (the First). So long as there is anything superior to what she possesses, she rises, allured by her natural leaning for the Inspirer of love; so she passes through the region of Intelligence, and stops at the Good because there is nothing beyond. So long as she contemplates Intelligence, she surely enjoys a noble and magnificent spectacle, but she does not yet fully possess the object of her search. Such would be a human countenance, which, in spite of its beauty, is not attractive, for lack of the charm of grace. Beauty is, indeed, rather the splendor that enhalos proportion, than proportion itself; and it is properly this splendor which challenges love. Why indeed does beauty shine radiantly on the face of a living person, and yet leave hardly a trace after death, even when the complexion and features are not yet marred? Why, among different statues, do the most life-like ones seem more beautiful than others that may be better proportioned? Why is a living being, though ugly, more beautiful than a pictured one, even though the latter were the most handsome imaginable? The secret is that the living form seems to us most desirable, because it possesses a living soul, because it is most assimilated to the Good; because the soul is colored by the light of the Good, and because, enlightened by the Good she is more wakeful and lighter, and because in her turn she lightens the burdens, awakes, and causes participation of the Good, so far as she may be able, in the body within which she resides.

THE SUPREME IS THE GOOD BECAUSE OF HIS SUPREMACY.

23. Since it is this Principle which the soul pursues, which illuminates Intelligence, and whose least trace arouses in us so great an emotion, there is no ground for astonishment if it possess the power of exerting its fascination on all beings, and if all rest in Him without seeking anything beyond. If indeed everything proceeds from this principle, then there is nothing better, and everything else is below Him. Now, how could the best of beings fail to be the Good? If the Good be entirely self-sufficient, and have need of nothing else, what could it be except the One who was what He is before all other things, when evil did not yet exist? If all evils be posterior to Him, if they exist only in the objects that in no way participate in the Good, and which occupy the last rank, if no evil exist among the intelligibles, and if there be nothing worse than evil (just as there is nothing better than the Good), then evils are in complete opposition to this principle, and it could be nothing else. To deny the existence of the Good, we would also have to deny the existence of evil; and the result would be a complete indifference of choice between any two particular things; which is absurd. All other things called good refer to Him, while He refers to nothing else.

THE GOOD AS CREATOR AND PRESERVER.

But if this be the nature of the Good, what does He do? He made Intelligence, and life. By the intermediation of Intelligence, He made the souls and all the other beings that participate in Intelligence, in Reason, or in Life. Moreover, who could express the goodness of Him who is their source and principle? But what is He doing at the present time? He preserves what He has begotten, He inspires the thought in those who think, He vivifies the living, by His spirit,[116] He imparts to all (beings) intelligence and life, and to those who are unable to receive life, at least existence.

MANY FURTHER QUESTIONS ABOUT THE GOOD; FOR THE INDIVIDUAL IT IS ILLUMINATION.

24. And what is He doing for us? To answer this question, we would still have to explain the light by which Intelligence is illuminated, and in which the Soul participates. But we shall have to postpone this discussion, and mention various other questions which may be asked. Is the Good goodness, and does it receive this name because it is desirable for some being? Is that which is desirable for some being the good of this being, and do we call the Good that which is desirable for all beings? Is being desirable not rather a simple characteristic of the Good, and must not that which is desirable have a nature such that it would deserve the name of Good?[117] Besides, do the beings that desire the Good desire it because they receive from it something, or merely because possession thereof causes bliss? If they do receive something from it, what does it consist of? If the possession of the Good give them joy, why should their joy come from possession of the Good, rather than from possession of anything else? ls the Good such by what is characteristic of it, or by something else? Is the Good an attribute of some other being, or is the Good good for itself? Must not the Good rather be good for others, without being good for itself? For whom anyway is the Good good? For there is a certain nature (matter) for which nothing is good.

ATTRIBUTING GOOD TO LIFE IS ONLY THE RESULT OF FEAR OF DEATH.

Nor can we ignore an objection raised by an opponent who is difficult to convince (Plato's Philebus): "Well, my friends, what then is this entity that you celebrate in such pompous terms, ceaselessly repeating that life and intelligence are goods, although you said that the Good is above them? What sort of a good might the Intellect be? What sort of a good should (a man) have, who thinks the Ideas themselves, contemplating everything in itself? Perhaps, indeed, a man, when he enjoys these (Ideas and contemplations), might be deceived into calling them a good merely because he happened to be in pleasant circumstances; but should these circumstances become unpleasant, on what grounds would he call them a good? Merely because they (possess) existence? But what pleasure or benefit could this afford him? If he did not consider self-love as the foundation thereof, what difference could there be for him between existence and non-existence? It is therefore to this natural physical error (of self-love), and to the fear of death, that we must trace the cause of the ascription of good to intelligence and life."[118]

PLATO'S ANSWER TO PHILEBUS: THERE ARE TWO GOODS, THE HUMAN AND THE UNIVERSAL.

25. Plato therefore mingled the Good with pleasure, and did not posit the Good exclusively in Intelligence, as he wrote in the Philebus.[119] Appreciating this difficulty, he very rightly decided on one hand that good did not consist in pleasure alone, and on the other, that it did not consist in intelligence alone, inasmuch as he failed to discover in it anything to arouse our desire. Perhaps Plato had still another motive (in calling the Good a mixture), because he thought that, with such a nature, the Good is necessarily full of charm, desirable both for the seeker and the finder; whence it would result that he who is not charmed has not found the Good, and that, if he who desires be not happy, he evidently does not yet possess the Good. It is not without a reason (that Plato formed this conception of the Good); for he was not seeking to determine the universal Good, but the good of man; and as such human good refers to (man, who is) a being different from the absolute Good, then it becomes for him something different from the Good in itself; and would therefore be defective and composite. That is why (according to Plato), that which is alone and single has no good, but is good in another and a higher sense.

THE ARISTOTELIAN SUPREME GOOD.[120]

The good must then be desirable; but it is good not because it is desirable, but it is desirable because it is good.[121] Thus in the order of beings, rising from the last to the First, it will be found that the good of each of them is in the one immediately preceding, so long as this ascending scale remain proportionate and increasing. Then we will stop at Him who occupies the supreme rank, beyond which there is nothing more to seek. That is the First, the veritable, the sovereign Good, the author of all goodness in other beings. The good of matter is form; for if matter became capable of sensation it would receive it with pleasure. The good of the body is the soul; for without her it could neither exist nor last. The good of the soul is virtue; and then higher (waits), Intelligence. Last, the good of Intelligence is the principle called the Primary nature. Each of these goods produces something within the object whose good it is. It confers order and beauty (as form does on matter); or life (as the soul does on the body); or wisdom and happiness (as intelligence does on soul). Last, the Good communicates to Intelligence its influx, and actualization emanating from the Good, and shedding on Intelligence what has been called the light of the Good. The nature of this we shall study later.

THE TRUE GOOD IMPLIES A COUNTERFEIT GOOD.

26. Recognition of goodness and so-called "possession" thereof consist of enjoyment of the presence of good by the being who has received from nature the faculty of sensation. How could it make a mistake about the matter? The possibility of its being deceived implies the existence of some counterfeit; in this case, the error of this being was caused by that which resembled its good; for this being withdraws from what had deceived it as soon as the Good presents itself. The existence of a particular good for each being is demonstrated by its desire and inclination. Doubtless, the inanimate being receives its good from without; but, in the animated being, the desire spontaneously starts to pursue the Good. That is why lifeless bodies are the objects of solicitude and care of living beings, while the living beings watch over themselves.