Ennead II,4 (Guthrie)

Of Matter.

MATTER AS SUBSTRATE AND RESIDENCE OF FORMS.

1. Matter is a substrate (or subject) underlying nature, as thought Aristotle, and a residence for forms. Thus much is agreed upon by all authors who have studied matter, and who have succeeded in forming a clear idea of this kind of nature; but further than this, there is no agreement. Opinions differ as to whether matter is an underlying nature (as thought Aristotle), as to its receptivity, and to what it is receptive.

THE STOIC CONCEPTION OF MATTER.

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

MATTER ACCORDING TO THE PYTHAGOREANS, PLATONISTS AND ARISTOTELIANS.

Others (Pythagoreans, Platonists and Aristotelians) insist that matter is incorporeal. Some even distinguish two kinds of matter, first, the (Stoic) substrate of bodies, mentioned above; the other matter being of a superior nature, the substrate of forms and incorporeal beings.

THE ARISTOTELIAN INTELLIGIBLE MATTER.

2. Let us first examine whether this (latter intelligible) matter exists, how it exists, and what it is. If (the nature) of matter be something indeterminate, and shapeless, and if in the perfect (intelligible beings) there must not be anything indeterminate or shapeless, it seems as if there could not be any matter in the intelligible world. As every (being) is simple, it could not have any need of matter which, by uniting with something else, constitutes something composite. Matter is necessary in begotten beings, which make one thing arise out of another; for it is such beings that have led to the conception of matter (as thought Aristotle). It may however be objected that in unbegotten beings matter would seem useless. Whence could it have originated to enter in (among intelligible beings), and remain there? If it were begotten, it must have been so by some principle; if it be eternal, it must have had several principles; in which case the beings that occupy the first rank would seem to be contingent. Further, if (in those beings) form come to join matter, their union will constitute a body, so that the intelligible (entities) will be corporeal.

INTELLIGIBLE MATTER IS NOT SHAPELESS.

3. To this it may first be answered that the indeterminate should not be scorned everywhere, nor that which is conceived of as shapeless, even if this be the substrate of the higher and better entities; for we might call even the soul indeterminate, in respect to intelligence and reason, which give it a better shape and nature. Besides, when we say that intelligible things are composite (of matter and form), this is not in the sense in which the word is used of bodies. Even reasons would thus be called composite, and by their actualization form another alleged composite, nature, which aspires to form. If, in the intelligible world, the composite tend toward some other principle, or depend thereon, the difference between this composite and bodies is still better marked. Besides, the matter of begotten things ceaselessly changes form, while the matter of the intelligible entities ever remains identical. Further, matter here below is subject to other conditions (than in the intelligible world). Here below, indeed, matter is all things only partly, and is all things only successively; consequently, amidst these perpetual changes nothing is identical, nothing is permanent. Above, on the contrary, matter is all things simultaneously, and possessing all things, could not transform itself. Consequently, matter is never shapeless above; for it is not even shapeless here below. Only the one (intelligible matter) is situated differently from the other (sense-matter). Whether, however, (intelligible matter) be begotten, or be eternal, is a question that cannot be determined until we know what it is.

THE NATURE OF IDEAS IMPLIES AN INDIVIDUAL FORM, WHICH AGAIN IMPLIES A SUBSTRATE.

4. Granting now the existence of ideas, whose reality has been demonstrated elsewhere, we must draw their legitimate consequences. Necessarily ideas have something in common, inasmuch as they are manifold; and since they differ from each other, they must also have something individual. Now the individuality of any idea, the difference that distinguishes it from any other, consists of its particular shape. But form, to be received, implies a substrate, that might be determined by the difference. There is therefore always a matter that receives form, and there is always a substrate (even in ideas, whose matter is genus, and whose form is its difference).

RELYING ON THE PUN BETWEEN WORLD AND ADORNMENT, PLOTINOS CONCLUDES THAT IF THE INTELLIGIBLE WORLD BE THE IMAGE OF THIS, IT MUST ALSO BE A COMPOSITE OF FORM AND MATTER.

Besides, our world is an image of the intelligible world. Now as our world is a composite of matter (and form), there must be matter also on high (that is, in the intelligible world). Otherwise, how could we call the intelligible worldkosmos” (that is, either world, or adornment), unless we see matter (receiving) form therein? How could we find form there, without (a residence) that should receive it? That world is indivisible, taken in an absolute sense; but in a relative sense, is it divisible? Now if its parts be distinct from each other, their division or distinction is a passive modification of matter; for what can be divided, must be matter. If the multitude of ideals constitute an indivisible being, this multitude, which resides in a single being, has this single being as substrate, that is, as matter and is its shapes. This single, yet varied substrate conceives of itself as shapeless, before conceiving of itself as varied. If then by thought you abstract from it variety, forms, reasons, and intelligible characteristics, that which is prior is indeterminate and shapeless; then there will remain in this (subject) none of the things that are in it and with it.

THE BOTTOM OF EVERYTHING IS MATTER, WHICH IS RELATIVE DARKNESS.

5. If, we were to conclude that there were no matter in intelligible entities, because they were immutable, and because, in them, matter is always combined with (shape), we would be logically compelled to deny the existence of matter in bodies; for the matter of bodies always has a form, and every body is always complete (containing a form and a matter). Each body, however, is none the less composite, and intelligence observes its doubleness; for it splits until it arrives to simplicity, namely, to that which can no longer be decomposed; it does not stop until it reaches the bottom things. Now the bottom of each thing is matter. Every matter is dark, because the reason (the form) is the light, and because intelligence is the reason. When, in an object, intelligence considers the reason, it considers as dark that which is below reason, or light. Likewise, the eye, being luminous, and directing its gaze on light and on the colors which are kinds of light, considers what is beneath, and hidden by the colors, as dark and material.

INTELLIGIBLE MATTER CONSISTS OF REAL BEING, ESPECIALLY AS SHAPED.

Besides, there is a great difference between the dark bottom of intelligible things and that of sense-objects; there is as much difference between the matter of the former and of the latter as there is between their form. The divine matter, on receiving the form that determines it, possesses an intellectual and determinate life. On the contrary, even when the matter of the bodies becomes something determinate, it is neither alive nor thinking; it is dead, in spite of its borrowed beauty. As the shape (of sense-objects) is only an image, their substrate also is only an image. But as the shape (of intelligible entities) possesses veritable (reality), their substrate is of the same nature. We have, therefore, full justification for calling matterbeing,” that is, when referring to intelligible matter; for the substrate of intelligible entities really is “being,” especially if conceived of together with its inherent (form). For “being” is the luminous totality (or complex of matter and form). To question the eternity of intelligible matter is tantamount to questioning that of ideas; indeed, intelligible entities are begotten in the sense that they have a principle; but they are non-begotten in the sense that their existence had no beginning, and that, from all eternity, they derive their existence from their principle. Therefore they do not resemble the things that are always becoming, as our world; but, like the intelligible world, they ever exist.

THE CATEGORIES OF MOVEMENT AND DIFFERENCE APPLIED TO INTELLIGIBLES.

The difference that is in the intelligible world ever produces matter; for, in that world, it is the difference that is the principle of matter, as well as of primary motion. That is why the latter is also called difference, because difference and primary motion were born simultaneously.

The movement and difference, that proceed from the First (the Good), are indeterminate, and need it, to be determinate. Now they determine each other when they turn towards it. Formerly, matter was as indeterminate as difference; it was not good because it was not yet illuminated by the radiance of the First. Since the First is the source of all light, the object that receives light from the First does not always possess light; this object differs from light, and possesses light as something alien, because it derives light from some other source. That is the nature of matter as contained in intelligible (entities). Perhaps this treatment of the subject is longer than necessary.

SUBSTRATE IS DEMANDED BY TRANSFORMATION OF ELEMENTS, BY THEIR DESTRUCTION AND DISSOLUTION.

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

THE VIEWS OF EMPEDOCLES AND ANAXAGORAS ON MATTER.

7. (According to Aristotle), Empedocles thinks matter consists of elements; but this opinion is refuted by the decay to which they are exposed. (According to Aristotle), Anaxagoras supposes that matter is a mixture and, instead of saying that this (mixture) is capable of becoming all things, he insists that it contains all things in actualization. Thus he annihilates the intelligence that he had introduced into the world; for, according to him, it is not intelligence that endows all the rest with shape and form; it is contemporaneous with matter, instead of preceding it. Now it is impossible for intelligence to be the contemporary of matter, for if mixture participate in essence, then must essence precede it; if, however, essence itself be the mixture, they will need some third principle. Therefore if the demiurgic creator necessarily precede, what need was there for the forms in miniature to exist in matter, for intelligence to unravel their inextricable confusion, when it is possible to predicate qualities of matter, because matter had none of its own, and thus to subject matter entirely to shape? Besides, how could (the demiurgic creator) then be in all?

REFUTATION OF ANAXIMANDER’S VIEWS ABOUT MATTER.

(Anaximander) had better explain the consistence of the infinity by which he explains matter. Does he, by infinity, mean immensity? In reality this would be impossible. Infinity exists neither by itself, nor in any other nature, as, for instance, the accident of a body. The infinite does not exist by itself, because each of its parts would necessarily be infinite. Nor does the infinite exist as an accident, because that of which it would be an accident would, by itself, be neither infinite, nor simple; and consequently, would not be matter.

REFUTATION OF DEMOCRITUS’S ATOMS AS EXPLANATIONS OF MATTER.

(According to Aristotle’s account of Democritus), neither could the atoms fulfil the part of matter because they are nothing (as before thought Cicero). Every body is divisible to infinity. (Against the system of the atoms) might further be alleged the continuity and humidity of bodies. Besides nothing can exist without intelligence and soul, which could not be composed of atoms. Nothing with a nature different from the atoms could produce anything with the atoms, because no demiurgic creator could produce something with a matter that lacked continuity. Many other objections against this system have and can be made; but further discussion is unnecessary.

MATTER IS NOTHING COMPOSITE, BUT BY NATURE SIMPLE AND ONE.

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

MATTER AND THE INFORMING PRINCIPLE MUST BE CONTEMPORARIES TO ACCOUNT FOR THEIR MUTUAL RELATIONS.

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

ANTI-STOIC POLEMIC, AGAINST THE CORPOREITY OF MATTER AND QUANTITY.

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

BY ABSTRACTION, THE SOUL CAN FIND AND DESCRY THE QUALITY-LESS THING-IN-ITSELF: THIS PROCESS IS CALLED “BASTARD REASONING.”

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

DIFFERENCE BETWEEN MENTAL BLANK AND IMPRESSION OF THE SHAPELESS.

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

THE COMPOSITION OF A BODY NEEDS A SUBSTRATE.

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

MATTER AS THE IMAGE OF EXTENSION, CAN YET BE RESIDENCE OF FORM.

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

POLEMIC AGAINST MODERATUS OF GADES, FORMS DEMAND A RESIDENCE, VASE, or LOCATION.

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

NOT EVEN CORPOREITY INHERES IN MATTER WHICH IS REACHED BY BASTARD REASONING.

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

THE SUBSTRATE IS NOT A QUALITY COMMON TO ALL ELEMENTS; FOR THUS IT WOULD NOT BE INDETERMINATE.

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

EVEN THIS PRIVATION MIGHT BE CONSIDERED A QUALITY; BUT SUCH A USE OF THE TERM WOULD DESTROY ALL COHERENT REASONING.

Let us grant that matter has no quality, because, by virtue of its nature, it does not participate in a quality of any other thing. What, however, would hinder this property, because it is a qualification in matter, from participating in some quality? This would be a particular and distinctive characteristic, which consists of the privation of all other things (referring to Aristotle)? In man, the privation of something may be considered a quality; as, for instance, the privation of sight is blindness. If the privation of certain things inhere in matter, this privation is also a qualification for matter. If further the privation in matter extend to all things, absolutely, our objection is still better grounded, for privation is a qualification. Such an objection, however, amounts to making qualities and qualified things of everything. In this case quantity, as well as “being,” would be a quality. Every qualified thing must possess some quality. It is ridiculous to suppose that something qualified is qualified by what itself has no quality, being other than quality.

BY A PUN BETWEEN “DIFFERENCE” AND “OTHERNESS,” PLOTINOS DEFINES THE CHARACTERISTIC OF MATTER AS BEING A DISPOSITION TO BECOME SOMETHING ELSE.

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

PRIVATION IS A FORM OF MATTER.

14. Let us now examine if matter be privation, or if privation be an attribute of matter. If you insist that privation and matter are though logically distinct, substantially one and the same thing, you will have to explain the nature of these two things, for instance, defining matter without defining privation, and conversely. Either, neither of these two things implies the other, or they imply each other reciprocally, or only one of them implies the other. If each of them can be defined separately, and if neither of them imply the other, both will form two distinct things, and matter will be different from privation, though privation be an accident of matter. But neither of the two must even potentially be present in the definition of the other. Is their mutual relation the same as that of a stub nose, and the man with the stub nose (as suggested by Aristotle)? Then each of these is double, and there are two things. Is their relation that between fire and heat? Heat is in fire, but fire is not necessarily contained in heat; thus matter, having privation (as a quality), as fire has heat (as a quality), privation will be a form of matter, and has a substrate different from itself, which is matter. Not in this sense, therefore, is there a unity (between them).

PRIVATION IS NONENTITY, AND ADDS NO NEW CONCEPT.

Are matter and privation substantially identical, yet logically distinct, in this sense that privation does not signify the presence of anything, but rather its absence? That it is the negation of beings, and is synonymous with nonentity? Negation adds no attribute; it limits itself to the assertion that something is not. In a certain sense, therefore, privation is nonentity.

BEING SUBSTANTIALLY IDENTICAL, BUT LOGICALLY DISTINCT IS NONSENSE.

If matter be called nonentity in this sense that it is not essence, but something else than essence, there is still room to draw up two definitions, of which one would apply to the substrate, and the other to the privation, merely to explain that it is a disposition to become something else? It would be better to acknowledge that matter, like the substrate, should be defined a disposition to become other things. If the definition of privation shows the indetermination of matter, it can at least indicate its nature. But we could not admit that matter and privation are one thing in respect to their substrate, though logically distinct; for how could there be a logical distinction into two things, if a thing be identical with matter as soon as it is indeterminate, indefinite, and lacking quality?

MATTER AS THE INFINITE IN ITSELF.

15. Let us further examine if the indeterminate, or infinite, be an accident, or an attribute of some other nature; how it comes to be an accident, and whether privation ever can become an accident. The things that are numbers and reasons are exempt from all indetermination, because they are determinations, orders, and principles of order for the rest. Now these principles do not order objects already ordered, nor do they order orders. The thing that receives an order is different from that which gives an order, and the principles from which the order is derived are determination, limitation and reason. In this case, that which receives the order and the determination must necessarily be the infinite (as thought Plato). Now that which receives the order is matter, with all the things which, without being matter, participate therein, and play the part of matter. Therefore matter is the infinite itself. Not accidentally is it the infinite; for the infinite is no accident. Indeed, every accident must be a reason; now of what being can the infinite be an accident? Of determination, or of that which is determined? Now matter is neither of these two. Further, the infinite could not unite with the determinate without destroying its nature. The infinite, therefore, is no accident of matter (but is its nature, or “being”). Matter is the infinite itself. Even in the intelligible world, matter is the infinite.

THE INFINITE MAY BE EITHER IDEAL OR REAL, INFINITE OR INDEFINITE.

The infinite seems born of the infinity of the One, either of its power, or eternity; there is no infinity in the One, but the One is creator of the infinite. How can there be infinity simultaneously above and below (in the One and in matter)? Because there are two infinities (the infinite and the indefinite; the infinite in the One, the indefinite in matter). Between them obtains the same difference as the archetype and its image. Is the infinite here below less infinite? On the contrary, it is more so. By the mere fact that the image is far from veritable “being,” it is more infinite. Infinity is greater in that which is less determinate (as thought Aristotle). Now that which is more distant from good is further in evil. Therefore the infinite on high, possessing the more essence, is the ideal infinite; here below, as the infinite possesses less essence, because it is far from essence and truth, it degenerates into the image of essence, and is the truer (indefinite) infinite.

MATTER AS THE INFINITE IN ITSELF.

Is the infinite identical with the essence of the infinite? There is a distinction between them where there is reason and matter; where however matter is alone, they must be considered identical; or, better, we may say absolutely that here below the infinite does not occur; otherwise it would be a reason, which is contrary to the nature of the infinite. Therefore matter in itself is the infinite, in opposition to reason. Just as reason, considered in itself, is called reason, so matter, which is opposed to reason by its infinity, and which is nothing else (than matter), must be called infinite.

MATTER IS NONESSENTIAL OTHERNESS.

16. Is there any identity between matter and otherness? Matter is not identical with otherness itself, but with that part of otherness which is opposed to real beings, and to reasons. It is in this sense that one can say of nonentity that it is something, that it is identical with privation, if only privation be the opposition to things that exist in reason. Will privation be destroyed by its union with the thing of which it is an attribute? By no means. That in which a (Stoic) “habit” occurs is not itself a “habit,” but a privation. That in which determination occurs is neither determination, nor that which is determined, but the infinite, so far as it is infinite. How could determination unite with the infinite without destroying its nature, since this infinite is not such by accident? It would destroy this infinite, if it were infinite in quantity; but that is not the case. On the contrary, it preserves its “being” for it, realizes and completes its nature; as the earth which did not contain seeds (preserves its nature) when it receives some of them; or the female, when she is made pregnant by the male. The female, then, does not cease being a female; on the contrary she is so far more, for she realizes her nature (”being”).

INDIGENCE IS NECESSARILY EVIL.

Does matter continue to be evil when it happens to participate in the good? Yes, because it was formerly deprived of good, and did not possess it. That which lacks something, and obtains it, holds the middle between good and evil, if it be in the middle between the two. But that which possesses nothing, that which is in indigence, or rather that which is indigence itself, must necessarily be evil; for it is not indigence of wealth, but indigence of wisdom, of virtue, of beauty, of vigor, of shape, of form, of quality. How, indeed, could such a thing not be shapeless, absolutely ugly and evil?

THE RELATION OF BOTH KINDS OF MATTER TO ESSENCE.

In the intelligible world, matter is essence; for what is above it (the One), is considered as superior to essence. In the sense-world, on the contrary, essence is above matter; therefore matter is nonentity, and thereby is the only thing foreign to the beauty of essence.