THE IMMORTALITY OF THE HEAVEN PROVED BY ITS NEVER HAVING HAD TO BEGIN.
We have elsewhere207 shown that it would be absurd to suppose that the world ever had a beginning. This however implies that it will never cease to exist. Why indeed should it not continue to do so? Its component elements are not, like wood, and similar things, exposed to wastage. Their continued subsistence, however, implies that the universe that they form must also ever subsist. On the other hand, even if they were subject to a perpetual change, the universe must still subsist because the principle of this change subsists continually. Moreover, it has elsewhere been shown224 that the universal Soul is not subject to repentance, because she governs the universe without difficulties or fatigue, and that even in the impossible case that the body of the universe should happen to perish, she would not thereby be altered.
WHY CELESTIAL THINGS LAST LONGER THAN TERRESTRIAL ONES.
5. The reason why celestial things endure beyond terrestrial animals and elements has been thus stated by Plato225: "Divine animals were formed by the divinity Himself, while the animals here below were formed by the divinities, His offspring." What the divinity (Himself) does could not possibly perish. This implies the existence, below the demiurge (Intelligence), of the celestial Soul, with our souls.208 From the celestial Soul derives and flows an apparent-form-of-an-image,209 which forms terrestrial animals. This inferior soul imitates her intelligible principle (the celestial Soul), without, however, being able to resemble her completely—because she employs elements which are less good (than the celestial elements); because the place where she operates with them is less good (than heaven)—and because the materials that she organizes could not remain united. Consequently, terrestrial animals could not last for ever. For the same reason this soul does not dominate terrestrial bodies with as much power (as the celestial Soul dominates celestial things), because each of them is governed by another (human) soul.
IMMORTALITY DOES NOT EXTEND TO THE SUB-LUNAR SPHERE.
If we be right in attributing immortality to the heaven, we shall have to extend that conception to the stars it contains; for unless its parts endured, neither could the heaven. However, the things beneath the heaven do not form part of it. The region which constitutes the heaven does not extend further down than the moon. As to us, having our organs formed by the (vegetative) soul which was given us by the celestial divinities (the stars), and even the heaven itself,210 we are united to the body by that soul. Indeed, the other soul (the reasonable soul), which constitutes our person, our "me,"211 is not the cause of our being,212 but of our well-being (which consists in our intellectual life). She comes to join our body when it is already formed (by the vegetative soul), and contributes to our being only by one part, by giving us reason (in making of us reasonable beings, and men).
THE STARS CONTAIN NOT ONLY FIRE, BUT TANGIBLE EARTH.
6. Is the heaven composed exclusively of fire? Does the fire allow any of its substance to flow off, or escape? Does it, therefore, need being fed? (Plato213) thinks the body of the universe is composed of earth and fire; fire to explain its being visible, and earth to explain its being tangible. This would lead us to suppose that the stars are composed of fire not exclusively, but predominatingly, since they seem to possess a tangible element. This opinion is plausible because Plato supports it with reasonable grounds. Sense, sight and touch would lead us to believe that the greater part, if not the whole, of the heaven, is fire. But reason suggests that the heaven also contains earth, because without earth it could not be tangible.214 This however does not imply that it contains also air and water. It would seem absurd to think that water could subsist in so great a fire; nor could air survive therein without immediately being transformed to steam. It might be objected that two solids which play the parts of extremes in a proportion, cannot be united without two means.213 This objection, however, might have no cogency, for this mathematical relation might not apply to natural things, as indeed we are led to surmise by the possibility of mingling earth and water without any intermediary. To this it may be answered that earth and water already contain the other elements. Some persons might think that the latter could not effectually unite earth and water; but this would not disturb our contention that the earth and water are related because each of these two elements contains all the others.
EARTH CONTAINS ALL THE OTHER ELEMENTS.
Besides, we shall have to examine whether the earth be invisible without fire, and the fire intangible without the earth. Were this the case, nothing would possess its own proper being. All things would be mixed; each would reclaim its name only by the element preponderating in it; for it has been claimed that the earth could not exist without the humidity of water, which alone keeps all its parts united. Even were this granted, it would, none the less, remain absurd to say that each of these elements is something, while claiming that it does not possess any characteristically individual constitution, except by its union with the other elements, which, nevertheless, would not, any the more, exist individually, each in itself. What reality, indeed, would inhere in the nature or being of the earth, if none of its parts were earth except because the water that operated as a bond? Besides, with what could water unite without the preliminary existence of an extension whose parts were to be bound together for the formation of a continuous whole? The existence of an extension, however small it be, will imply the self-existence of earth, without the assistance of water; otherwise, there would be nothing for water to bind together. Nor would the earth have any need of air, since the air exists before the observation of any change within it. Nor is fire any more necessary to the constitution of the earth; fire only serves in making it visible, like all other objects. It is indeed reasonable to assert that it is fire which renders objects visible, and it is a mistake215 to state that "one sees darkness," which cannot be seen any more than silence can be heard. Besides, there is no necessity for fire to be in earth; light suffices (to make it visible). Snow, and many other very cold substances are, without any fire, very brilliant—that is, unless we say that the fire approached them, and colored them before leaving them.
ELEMENTS ARE NEVERTHELESS INDIVIDUAL.
As to the other elements, could not water exist without participating in the earth? Air could certainly not be said to participate in earth, because of its penetrability. It is very doubtful that the fire contains any earth, because it does not seem continuous, and does not, by itself, seem to be tri-dimensional. True, fire does seem to contain solidity, but not of a tri-dimensional kind; it seems rather to be a sort of resistance corporeal nature214). Only of earth may hardness be predicated; indeed, gold, in liquid state, is dense; not because it is earth, but because it possesses density, and is solidified. It would therefore not be unreasonable that fire, apart by itself, could subsist by the power of the Soul which sustains it by her presence. The bodies of (certain among) the guardian spirits consist of fire.216
TERRESTRIAL ELEMENTS, HOWEVER, DO NOT DEGRADE THE HEAVEN.
It is unlikely that the universal Organism is composed of universal elements. That terrestrial animals are thus composed is certain; but to introduce the terrestrial element into the composition of the heaven would be to admit something contrary to nature, and to the order thereby established. (Epicurus's opinion that) the stars carry terrestrial bodies along in their rapid flight is undemonstrable. Besides, the presence of the earth would be an obstacle to the shine and splendor of the celestial fire.
PLATO POSTULATED THE EXISTENCE OF EARTH AS BASIS OF LIFE.
7. Plato's view217 is to be accepted. The universe must contain something solid, impenetrable, so that the earth, when established in the middle of the universe, might offer a firm foundation for all the animals that walk on it, and that these animals might possess a certain solidity by the very fact of their terrestriality; so that the earth might, by itself, possess the property of continuousness; that it might be illuminated by fire, might also participate in water, so as not to be desiccated, and so that its parts might unite, and that the air might somewhat lighten its mass.
ELEMENTS ARE KINDRED THROUGH THEIR COMMON GROUND, THE UNIVERSE-BODY.
The earth was mingled with the upper fire not to produce the stars, but because fire has something terrestrial, as earth has something igneous, as a result of all the bodies being contained within the body of the universe. In short, every one of the elements includes mixture of itself and of the other with which it participates. This results from the interrelating community existing within the universe (the "sympathy"). So each element, without combining with any other, borrows some of its properties. For example, water participates in the fluidity of the air, without however mingling therewith; so the earth does not possess the fire, but derives its brightness from it. On the other hand, a mixture would render all properties common to both elements, confounding them together,218 and would not limit itself to merely approximating earth and fire, that is, a certain solidity with a certain density. On this subject we can invoke the authority of (Plato219), "The divinity lit this light in the second circle above the earth," thereby referring to the sun, which he elsewhere calls "the most brilliant star."
By these words he hinders us from admitting that the sun is anything else than fire. He also indicates that fire has no quality other than light, which he considers as distinct from flame, and as possessing only a gentle heat. This light is a body. From it emanates another being that we, by verbal similarity, also call light, and which we acknowledge to be incorporeal. This second kind of light derives from the former, being its flower and brightness, and constitutes the essentially white (that is, brilliant) body (of lightning, or comets). (Unfortunately, however), the word "terrestrial" (which designates the element allied to the fire, as we have said above), we are wont to regard unfavorably because Plato makes the earth consist of solidity, while we speak of the earth as a unity, though (Plato) distinguishes several qualities within this element.
NATURE OF THE CELESTIAL FIRE AND LIGHT.
The fire of which we speak above emits the purest light, and resides in the highest region, by virtue of its nature. These celestial flames are entirely distinct from the earthly flame, which after ascending to a certain height, and meeting a greater quantity of air, becomes extinguished. After ascending, it falls back on to the earth, because (as a comet) it cannot rise any further; it stops in the sublunar regions, though rendering the ambient air lighter. In those cases in which it continues to subsist in higher regions, it becomes weaker, gentler, and acquires a heatless glow, which is but a reflection of the celestial light. The latter, on the other hand, is divided partly among the stars in which it reveals great contrasts of magnitude and color, and partly in the atmosphere. Its invisibility to our eyes is caused both by its tenuity, and transparence, which causes it to become as tangible as pure air, and also because of its distance from the earth.
CELESTIAL LIGHT IS NOT EXPOSED TO ANY WASTAGE.
8. Since this light subsists in elevated regions, because the purity of its nature forces it to remain in pure regions, it cannot be subject to any wastage (or, leakage). Such a nature could not allow any escape either downwards or upwards, nor could it meet anything that would force it to descend. Moreover, it will be remembered that there is a great difference of condition in a body united to, or separated from a soul; and in this case the body of the heaven is everywhere united to the (universal) Soul.
THE HEAVEN DOES NOT NEED THE ACTION OF EITHER AIR OR FIRE.
Besides, all that approaches the heaven is either air or fire. What of it is air cannot affect the heaven. What of it is fire can neither influence the heaven, nor touch it, to act on it. Before acting on the heaven, it would have to assume its nature; besides, fire is less great or powerful than the heaven. Moreover, the action of fire consists in heating; whereas, 1, that which is to be heated cannot have been hot by itself; and as, 2, that which is to be dissolved by fire must first be heated, inasmuch as it is this heating which causes a change of nature. No other body is needed for either the subsistence of the heaven, or for the functioning of its natural revolutions.220 Moreover, the heaven does not move in a straight line, because it is in the nature of celestial things to remain immovable, or to move in a circular orbit, and not to assume any other kind of movement without compulsion by some superior force.
THE STARS ARE INEXHAUSTIBLE. AND NEED NO REFRESHMENT.
Stars, therefore, stand in need of no feeding,221 and we should not judge them according to our own circumstances. Indeed, our (human) soul, which contains our bodies, is not identical with the Soul that contains the heaven; our soul does not reside in the same place, while the world-Soul does not, like our composite bodies lose (excreta). Not as our bodies do the stars need continual metabolic replacing food. From our conception of celestial bodies we should remove all ideas of a change that could modify their constitution. Terrestrial bodies are animated by an entirely different nature222; which though because of its weakness is incapable of insuring them a durable existence, nevertheless imitates the superior nature (of the celestial Soul) by birth and generation. Elsewhere223 we have shown that even this very celestial Soul cannot partake of the perfect immutability of intelligible things.
FOURTH ENNEAD, BOOK SIX.
Of Sensation and Memory.
STOIC DOCTRINES OF SENSATIONS AND MEMORIES HANG TOGETHER.
If we deny that sensations are images impressed on the soul, similar to the impression of a seal,226 we shall also, for the sake of consistency, have to deny that memories are notions or sensations preserved in the soul by the permanence of the impression, inasmuch as, according to our opinion, the soul did not originally receive any impression. The two questions, therefore, hang together. Either we shall have to insist that sensation consists in an image impressed on the soul, and memory, in its preservation; or, if either one of these opinions be rejected, the other will have to be rejected also. However, since we regard both of them as false, we shall have to consider the true operation of both sensation and memory; for we declare that sensation is as little the impression of an image as memory is its permanence. The true solution of the question, on the contrary, will be disclosed by an examination of the most penetrating sense,227 and then by induction transferring the same laws to the other senses.
A. OF SENSATION.
THE SENSE OF SIGHT DOES NOT POSSESS THE IMAGE SEEN WITHIN ITSELF.
In general the sensation of sight consists of perception of the visible object, and by sight we attain it in the place where the object is placed before our eyes, as if the perception operated in that very place, and as if the soul saw outside of herself. This occurs, I think, without any image being produced nor producing itself outside of the soul, without the soul receiving any impression similar to that imparted by the seal to the wax. Indeed, if the soul already in herself possessed the image of the visible object, the mere possession of this image (or type) would free her from the necessity of looking outside of herself. The calculation of the distance of the object's location, and visibility proves that the soul does not within herself contain the image of the object. In this case, as the object would not be distant from her, the soul would not see it as located at a distance. Besides, from the image she would receive from within herself, the soul could not judge of the size of the object, or even determine whether it possessed any magnitude at all. For instance, taking as an example the sky, the image which the soul would develop of it would not be so great (as it is, when the soul is surprised at the sky's extent). Besides, there is a further objection, which is the most important of all. If we perceive only the images of the objects we see, instead of seeing the objects themselves, we would see only their appearances or adumbrations. Then the realities would differ from the things that we see. The true observation that we cannot discern an object placed upon the pupil, though we can see it at some little distance, applies with greater cogency to the soul. If the image of the visible object be located within her, she will not see the object that yields her this image. We have to distinguish two things, the object seen, and the seeing subject; consequently, the subject that sees the visible object must be distinct from it, and see it as located elsewhere than within itself. The primary condition of the act of vision therefore is, not that the image of the object be located in the soul, but that it be located outside of the soul.
SENSATIONS ARE NOT EXPERIENCES, BUT RELATIVE ACTUALIZATIONS.
2. After denying that sensation consists of such an operation, it is our duty to point out the true state of affairs. Though it be objected that thus the soul would be considered as judging of things she does not possess, it is nevertheless plain that it is the characteristic of a power, not to experience or suffer, but to develop its force, to carry out the function to which it is destined. If the soul is to discern a visible or audible object the latter must consist of neither images nor experiences, but actualizations relative to the objects which naturally belong to the domain of these actualizations of the soul. Those who deny that any faculty can know its object without receiving some impulsion from it imply that the faculty suffers, without really cognizing the object before it; for this soul-faculty should dominate the object instead of being thereby dominated.
THIS IS TRUE NOT ONLY OF SIGHT BUT OF HEARING, TASTE AND SMELL.
The case of hearing is similar to that of sight. The impression is in the air; the sounds consist in a series of distinct vibrations, similar to letters traced by some person who is speaking. By virtue of her power and her being, the soul reads the characters traced in the air, when they present themselves to the faculty which is suitable to reception of them. As to taste and smell also, we must distinguish between the experience and the cognition of it; this latter cognition constitutes sensation, or a judgment of the experience, and differs therefrom entirely.228
COGNITION OF INTELLIGIBLE OBJECTS STILL LESS ADMITS OF AN IMPRESSION.
The cognition of intelligible things still less admits of an experience or impression; for the soul finds the intelligible things within herself, while it is outside of herself that she contemplates sense-objects. Consequently the soul's notions of intelligible entities are actualizations of a nature superior to those of sense-objects, being the actualizations of the soul herself, that is, spontaneous actualizations. We shall however have to relegate to another place229 the question whether the soul sees herself as double, contemplating herself as another object, so to speak, and whether she sees intelligence as single in a manner such that both herself and intelligence seem but one.
B. OF MEMORY.
MEMORY ACTS THROUGH THE SYMPATHY OF THE SOUL'S HIGHEST SELF.
3. Treating of memory, we must begin by attributing to the soul a power which, though surprising, is perhaps really neither strange nor incredible. The soul, without receiving anything, nevertheless perceives the things she does not have. The (secret of this) is that by nature the soul is the reason of all things, the last reason of intelligible entities, and the first reason of sense-objects.230 Consequently the soul is in relation with both (spheres); by the intelligible things the soul is improved and vivified; but she is deceived by the resemblance which sense-objects bear to intelligible entities, and the soul descends here below as if drawn by her alluring charm. Because she occupies a position intermediary between intelligible entities and sense-objects, the soul occupies a position intermediary between them. She is said to think intelligible entities when, by applying herself to them, she recalls them. She cognizes them because, in a certain manner, she actually constitutes these entities; she cognizes them, not because she posits them within herself, but because she somehow possesses them, and has an intuition of them; because, obscurely constituting these things, she awakes, passing from obscurity to clearness, and from potentiality to actualization. For sense-objects she acts in the same way. By relating them to what she possesses within herself, she makes them luminous, and has an intuition of them, possessing as she does a potentiality suitable to (a perception of) them; and, so to speak, to begetting them. When the soul has applied the whole force of her attention to one of the objects that offer themselves to her, she, for a long while, thereby remains affected as if this object were present; and the more attentively she considers it, the longer she sees it.231 That is why children have a stronger memory; they do not quickly abandon an object, but lingeringly fix their gaze upon it; instead of allowing themselves to be distracted by a crowd of objects, they direct their attention exclusively to some one of them. On the contrary, those whose thought and faculties are absorbed by a variety of objects, do not rest with any one, and do no more than look them over.
MEMORY IS NOT AN IMAGE, BUT THE REAWAKENING OF A FACULTY.
If memory consisted in the preservation of images,232 their numerousness would not weaken memory. If memory kept these images stored within itself, it would have no need of reflection to recall them, nor could memory recall them suddenly after having forgotten them. Further, exercise does not weaken, but increases the energy and force of memory, just as the purpose of exercise of our feet or hands is only to put ourselves in a better condition more easily to accomplish certain things which are neither in our feet nor our hands, but to which these members become better adapted by habit.
Besides (if memory be only storage of images), why then does one not remember a thing when it has been heard but once or twice? Why, when it has been heard often, is it long remembered, although it was not retained at first? This can surely not be because at first only some part of the images had been retained; for in that case those parts would be easily recalled. On the contrary, memory is produced suddenly as a result of the last hearing or reflexion. This clearly proves that, in the soul, we are only awaking the faculty of memory, only imparting to it new energy, either for all things in general, or for one in particular.
Again, memory does not bring back to us only the things about which we have reflected; (by association of ideas) memory suggests to us besides a multitude of other memories through its habit of using certain indices any one of which suffices easily to recall all the remainder233; how could this fact be explained except by admitting that the faculty of memory had become strengthened?
Once more, the preservation of images in the soul would indicate weakness rather than strength, for the reception of several impressions would imply an easy yielding to all forms. Since every impression is an experience, memory would be measured by passive receptivity; which, of course, is the very contrary of the state of affairs. Never did any exercise whatever render the exercising being more fitted to suffering (or, receptive experience).
Still another argument: in sensations, it is not the weak and impotent organ which perceives by itself; it is not, for instance, the eye that sees, but the active potentiality of the soul. That is why old people have both sensations and memories that are weaker. Both sensation and memory, therefore, imply some energy.
Last, as we have seen that sensation is not the impression of an image in the soul, memory could not be the storage-place of images it could not have received.
MEMORY NEEDS TRAINING AND EDUCATION.
It may be asked however, why, if memory be a "faculty" (a potentiality) or disposition,234 we do not immediately remember what we have learned, and why we need some time to recall it? It is because we need to master our own faculty, and to apply it to its object. Not otherwise is it with our other faculties, which we have to fit to fulfil their functions, and though some of them may react promptly, others also may need time to gather their forces together. The same man does not always simultaneously exercise memory and judgment, because it is not the same faculty that is active in both cases. Thus there is a difference between the wrestler and the runner. Different dispositions react in each. Besides, nothing that we have said would militate against distinguishing between the man of strong and tenacious soul who would be inclined to read over what is recalled by his memory, while he who lets many things escape him would by his very weakness be disposed to experience and preserve passive affections. Again, memory must be a potentiality of the soul, inasmuch as the soul has no extension (and therefore could not be a storage-place for images which imply three dimensions).
SOUL EVENTS OCCUR VERY DIFFERENTLY FROM WHAT IS SUPPOSED BY THE UNOBSERVANT OR UNREFLECTIVE.
In general all the processes of the soul occur in a manner very different from that conceived by unobservant men. Psychic phenomena occur very differently from sense-phenomena, the analogy of which may lead to very serious errors. Hence the above unobservant men imagine that sensations and memories resemble characters inscribed on tablets or sheets of paper.235 Whether they consider the soul material (as do the Stoics), or as immaterial (as do the Peripatetics), they certainly do not realize the absurd consequences which would result from the above hypothesis.
SIXTH ENNEAD, BOOK ONE.
Of the Ten Aristotelian and Four Stoic Categories.
HISTORICAL REVIEW OF CATEGORIES.
1. Very ancient philosophers have investigated the number and kinds of essences. Some said there was but one;296 others, that there was a limited number of them; others still, an infinite number. Besides, those who recognized but a single (essence) have advanced opinions very different, as is also the case with those who recognized a limited or unlimited number of essences. As the opinions of these philosophers have been sufficiently examined by their successors, we shall not busy ourselves therewith. We shall study the doctrine of those who, after having examined the opinions of their predecessors, decided on determinate numbers (of essences); admitting neither a single essence, because they recognized that there was a multiplicity even in the intelligibles; nor an infinite number of essences, because such an infinity could not exist, and would render all science impossible; but who, classifying the essences whose number is limited, and seeing that these classifications could not be considered elements, looked on them as "kinds." Of these, some (the Peripatetic Aristotelians) proposed ten, while others proposed a lesser number (the Stoics taught four), or a greater number (the Pythagorean "oppositions," for instance). As to the kinds, there is also difference of opinions: some looked upon the kinds as principle (Plotinos himself); while others (Aristotle) held that they formed classes.
OF THE TEN ARISTOTELIAN CATEGORIES.236
STATEMENT OF ARISTOTLE'S POSITION.
Let us first examine the doctrine that classifies essence into ten (kinds). We shall have to investigate whether it be necessary to acknowledge that its partisans recognize ten kinds, all of which bear the name of essence, or ten categories; for they say237 that essence is not synonymous in everything, and they are right.
ARISTOTLE'S CATEGORIES NEGLECT THE INTELLIGIBLE WORLD.
Let us begin by asking these philosophers whether the ten kinds apply equally to sense-(essences), and intelligible (essences), or whether they all apply to the sense-(essences), and some only to the intelligible (essences); for here there are no longer mutual relations. We must therefore inquire which of those ten kinds apply to intelligible essences, and see whether intelligible essences can be reduced to one single kind, that would also apply to sense-essences; and whether the word "being"238 can be applied simultaneously to intelligible and sense-entities, as a "homonymous" label. For if "being" be a homonym,239 there are several different kinds. If, however, it be a synonym (or, name of common qualities) it would be absurd that this word should bear the same meaning in the essences which possess the highest degree of existence, and in those which possess its lower degree; for the things among which it is possible to distinguish both primary and lower degrees could not belong to a common kind. But these (Aristotelian) philosophers do not, in their division, regard the (Platonic) intelligible entities. They therefore did not mean to classify all beings; they passed by those that possess the highest degree of existence.295
1. Being.240
2. Let us further examine if these ten divisions be kinds, and how being could form a kind; for we are forced to begin our study here.
INTELLIGIBLE AND SENSE-BEING COULD NOT FORM A SINGLE KIND.
We have just said that intelligible being and sense-being could not form a single kind.241 Otherwise, above both intelligible being, and sense-being, there might be some third entity which would apply to both, being neither corporeal nor incorporeal; for if it were incorporeal, the body would be incorporeal; and if it were corporeal, the incorporeal would be corporeal.
QUESTIONS RAISED BY ARISTOTELIAN THEORIES.
In the first place, what common element is there in matter, form, and the concretion of matter and form? The (Aristotelians) give the name of "being" alike to these three entities, though recognizing that they are not "being" in the same degree. They say that form is more being than is matter,242 and they are right; they would not insist (as do the Stoics) that matter is being in the greater degree. Further, what element is common to the primary and secondary beings, since the secondary owe their characteristic title of "being" to the primary ones?
WHAT IS "BEING" IN GENERAL?
In general, what is being? This is a question to which the (Aristotelians) could find no answer; for such mere indication of properties is not an essential definition of what it is, and it would seem that the property of being a thing that is susceptible of successively admitting their contraries, while remaining identical, and numerically one,243 could not apply to all (intelligible) beings.
3. Can we assert that "being" is a category that embraces simultaneously intelligible being, matter, form, and the concretion of form and matter, on the same justification that one may say that the race of the Heraclidae form a kind, not because all its members possess a common characteristic, but because they are all descended from a common ancestry? In such case, the first degree thereof will belong to this being (from which all the rest is derived), and the second degree to the other things which are less beings. What then hinders that all things form a single category, since all other things of which one may say, "they subsist," owe this property to "being?"
Might it then be said that the other things are affections (or, modifications),232 and that the beings are (hierarchically) subordinated to each other in a different manner? In this case, however, we could not stop at (the conception of) "being," and determine its fundamental property so as to deduce from it other beings. Beings would thus be of the same kind, but then would possess something which would be outside of the other beings.244 Thus the secondary substance would be attributed to something else, and leave no meaning to "whatness" (quiddity or quality), "determinate form" (thatness), "being a subject," "not being a subject," "being in no subject," and "being attributed to nothing else,"245 (as, when one says, whiteness is a quality of the body, quantity is something of substance, time is something of movement, and movement is something of mobility), since the secondary "being" is attributed to something else.246 Another objection would be, that the secondary being is attributed to the primary Being, in another sense (than quality is to being), as "a kind," as "constituting a part," as "being thus the essence of the subject," while whiteness would be attributed to something else in this sense that it is in a subject.247 Our answer would be that these things have properties which distinguish them from the others; they will consequently be gathered into a unity, and be called beings. Nevertheless, no kind could be made up out of them, nor thus arrive at a definition of the notion and nature of being. Enough about this; let us pass to quantity.
2. QUANTITY.
4. The Aristotelians call quantity first "number," then "continuous size," "space," and "time."248 To these concepts they apply the other kinds of quantity; as for instance, they say that movement is a quantity measured by time.249 It might also be said reciprocally, that time receives its continuity from movement.
CONTINUOUS AND DEFINITE QUANTITY HAVE NOTHING IN COMMON.
If continuous quantity be quantity as far as it is continuous, then definite quantity will no longer be quantity. If, on the contrary, continuous quantity be quantity only accidentally, then there is nothing in common between continuous and definite quantity. We will grant that numbers are quantities, although if their nature of being quantities were plain, one would not see why they should be given that name. As to the line, the surface, and the body, they are called sizes and not quantities; and the latter name is given them only when they are estimated numerically; as when, for instance, they are measured by two or three feet.249 A body is a quantity only in so far as it is measured, just as space is a quantity only by accident, and not by its spatiality. We must here not consider what is quantity by accident, but by its quantitativeness, quantity itself. Three oxen are not a quantity; in this case, the quantity is the number found in them. Indeed, three oxen belong already to two categories. The case is similar with the line, and the surface, both of which possess such quantity. But if the quantity of surface be quantity itself, why would surface itself be a quantity? It is no doubt only when determined by three or four lines that the surface is called a quantity.
NUMBERS ARE NOT QUANTITY IN ITSELF.
Shall we then say that numbers alone are quantity? Shall we attribute this privilege to Numbers in themselves, which are beings, because they exist in themselves?250 Shall we grant the same privilege to numbers existing in things which participate in them, and which serve to number, not unities, but ten oxen, for example, or ten horses? First, it would seem absurd that these numbers should not be beings, if the former ones be such. Then, it will seem equally absurd that they should exist within the things they measure, without existing outside them,251 as the rules and instruments which serve to measure exist outside of the objects they measure. On the other hand, if these numbers that exist in themselves serve to measure, and nevertheless do not exist within the objects that they measure, the result will be that these objects will not be quantities since they will not participate in quantity itself.
NUMBER IS NOT IN QUANTITY; BUT QUANTITY IS IN NUMBER.
Why should these numbers be considered quantities? Doubtless because they are measures. But are these measures quantities, or quantity itself? As they are in the order of beings, even if they should not apply to any of the other things, the numbers will nevertheless remain what they are, and they will be found in quantity. Indeed, their unity designates an object, since it applies to another; then the number expresses how many objects there are, and the soul makes use of number to measure plurality. Now, when measuring thus, the soul does not measure the "whatness" (or, quality) of the object, since she says "one," "two," whatever be their objects, even if of opposite nature; she does not determine the character of each thing, for instance, if it be warm or beautiful; she limits herself to estimating its quantity. Consequently, whether we take Number in itself, or in the objects which participate therein, quantity exists not in these objects, but in the number; quantity finds itself not in the object three feet long, but in the number three.
MAGNITUDE AND NUMBERS WOULD BE OF A DIFFERENT TYPE OF QUANTITY.
Why then should sizes also be quantities? Probably because they approximate quantities, and because we call quantities all objects that contain quantities, even though we do not measure them with quantity in itself. We call large what numerically participates in much; and small what participates in little. Greatness and smallness are quantities, not absolute, but relative; nevertheless the Aristotelians say that they are relative quantities so far as they seem to be quantities.252 That is a question to be studied; for, in this doctrine, number is a kind apart, while sizes would hold second rank; it is not exactly a kind, but a category which gathers things which are near each other, and which may hold first or second rank. As to us, we shall have to examine if the Numbers which exist in themselves be only substances, or if they be also quantities. In either case, there is nothing in common between the Numbers of which we speak, and those which exist in things which participate therein.253
SPEECH AS A QUANTITY.
5. What relation to quantity exists in speech, time, and movement?
First, let us consider speech. It can be measured.254 In this respect, speech is a quantity, but not in so far as it is speech, whose nature is to be significant, as the noun, or the verb.255 The vocal air is the matter of the word, as it also is of the noun and the verb, all which constitute the language. The word is principally an impulse launched on the air, but it is not a simple impulse; because it is articulated it somehow fashions the air; consequently it is a deed, but a significant one. It might be reasonably said that this movement and impulse constitute a deed, and that the movement which follows is a modification, or rather that the first movement is the deed, and the second movement is the modification of another, or rather that the deed refers to the subject, and the modification is in the subject. If the word consisted not in the impulse, but in the air, there would result from the significant characteristic of the expressive impulse two distinct entities, and no longer a single category.
NEITHER IS TIME A QUANTITY.
Let us pass to time.256 If it exist in what measures, that which measures must be examined; it is doubtless the soul, or the present instant. If it exist in what is measured, it is a quantity so far as it has a quantity; as, for instance, it may be a year. But, so far as it is time, it has another nature; for what has such a quantity, without (essentially) being a quantity, is not any the less such a quantity.
QUANTITY AS EQUAL AND UNEQUAL DOES NOT REFER TO THE OBJECTS.
As to (Aristotle's) assertion that the property of quantity is to be both equal and unequal,257 this property belongs to quantity itself, and not to the objects which participate in quantity, unless it be by accident, so far as one does not consider these objects in themselves. A three foot object, for instance, is a quantity so far as it is taken in its totality; but it does not form a kind with quantity itself; only, along with it, it is traced back to a kind of unity, a common category.
RELATION.258
6. Let us now consider relation. Let us see whether, in relative matters, there be something common that constitutes a kind, or which is a point of union in any other manner. Let us, before everything else, examine whether relation (as, for example, left and right, double and half, and so forth) be a kind of "hypostasis," or substantial act, or an habituation; or, whether it be a kind of hypostatic existence in certain things, while in others it is not so; or whether it be this under no circumstances. What is there indeed that is particular in relations such as double and half; surpasser and surpassed; in possession, and in disposition; lying down, standing, sitting; in the relation of father and son; of master and slave; in the like and different; the equal and unequal; the active and passive; measurer and measured; sensation and knowledge? Knowledge, for instance, relates to the object which can be known, and sensation to sense-object; for the relation of knowledge to the object which can be known has a kind of hypostatic existence in the actualization relative to the form of the object which can be known; likewise with the relation of sensation to the sense-object. The same may be said about the relation of the "active" to the "passive," which results in a single actualization, as well as about the relation between the measure and the measured object, from which results mensuration. But what results from the relation of the similar to the similar? If in this relation there be nothing begotten, one can at least discover there something which is its foundation, namely, the identity of quality; nevertheless, neither of these two terms would then have anything beside their proper quality. The same may be said of equal things, because the identity of quantity precedes the manner of being of both things; this manner of being has no foundation other than our judgment, when we say, This one or that one are of the same size; this one has begotten that one, this one surpasses that one. What are standing and sitting outside of him who stands or sits? As to the possession, if it apply to him who possesses, it rather signifies the fact of possession; if it apply to what is possessed, it is a quality. As much can be said of disposition. What then exists outside of the two relative terms, but the comparison established by our judgment? In the relation of the thing which surpasses the thing which is surpassed, the first is some one size, and the second is some other size; those are two independent things, while as to the comparison, it does not exist in them, except in our judgment. The relation of left to right and that of the former to the latter consist in the different positions. It is we who have imagined the distinction of right to left; there is nothing in the objects themselves that answers thereto. The former and the latter are two relations of time, but it is we who have established that distinction.
WHETHER THESE RELATIONS ARE SUBJECTIVE OR OBJECTIVE.
7. If, when we speak of things, we utter nothing true, then there is nothing real in the relation, and this kind of being has no foundation. But if, when we compare two moments, we say, This one is anterior, and that one is posterior, we speak truly, then we conceive that the anterior and the posterior are something independent of the subjects in which they exist. Likewise with the left and the right, as well as with sizes; we admit that in these, besides the quantity which is suitable to them, there is a certain habituation, as far as the one surpasses and the other is surpassed. If, without our enunciating or conceiving anything, it be real that such a thing is the double of another; if the one possess while the other is possessed, even if we had known nothing about it; if the objects had been equal before we had noticed them; if they be likewise identical in respect of quality; finally if, in all relative things, there be a habituation which is independent of the subjects in which it is found; and if we limit ourselves to noticing its existence (without creating it); if the same circumstances obtain in the relation of knowledge to what can be known, a relation which evidently constitutes a real habituation; if it be so, there is nothing left to do but to ask whether this habituation (named a relation) be something real. We shall have to grant, however, that this habituation subsists in certain subjects as long as these subjects remain such as they were, and even if they were separate; while, in other subjects, this habituation is born only when they are brought together. We shall also have to grant that, in the very subjects that remain, there are some in which this habituation is annihilated or altered (such as, for example, the left direction, or proximity). This has led people to believe that in all these relations there is nothing real. This point having been granted, we shall have to seek what common element there is in all these relations, and to examine whether what is common to them all constitutes a kind, or an accident; and last, we shall have to consider how far that which we have discovered corresponds to reality.
RELATIONS ARE SIMULTANEOUS EXISTENCES.
We should call relative not what is said absolutely of another thing, such as, for instance, the habits of the soul and the body; nor what belongs to such a thing, nor what is in such a thing (as for instance the soul is said to be the soul of such an individual, or to be in such a subject), but what wholly derives its existence from this habit (called relation). By "hypostatic existence" I here mean not the existence which is proper to subjects, but the existence which is called relative; as, for instance, the double causes the (correlative) existence of the half; while it does not cause the existence of the two foot object, nor of two in general, nor the one foot object, nor one in general. The manner of existence of these objects consists in that this one is two, and that one one. As a result of this, when these objects exist, the first is called double, and is such in reality; and the second is half. These two objects have therefore simultaneously and spontaneously effected that the one was double, and the other half. They have been correlatively begotten. Their only existence lies in their correlation, so that the existence of the double lies in its surpassing the half, and the half derives its existence from its being surpassed by the double. Consequently these two objects are not, the one anterior, and the other posterior, but simultaneous.259 We might also examine whether or not other things do not also possess this simultaneity of existence, as happens with father and son, and other similar cases. The son continues to exist, indeed, even after the death of the father; brother also survives brother, since we often say that some one person resembles some other deceased person.
DISTINCTION BETWEEN ACTIVE HABITUATION IMMEDIATE AND REMOTE.
8. The above digression gives us the opportunity of investigating why there should be a difference between these relations, and those of which we spoke above. However, we should be glad to have the Aristotelians first state what community of existence obtains in this correlation. It would be impossible to claim that this community was anything corporeal. If then it be corporeal, it must exist either within the very subjects, or without them. If such a habituation be identical among all, it is a synonym. If it be a habituation which differs according to the subjects in which it exists, it is a homonym; for the mere name of "habituation" (in different things) does not always correspond to the existence of any genuine similarity. Should we then divide the habituations into two classes, recognizing that certain objects have an inert and inactive habituation, implying simultaneity of existence, and that other objects have a habituation always implying "potentiality" and "actualization," so that before "actualizing" the "potentiality" be already ready to exert itself, and to pass from "potentiality" to "actualization" in the approximation of relative conditions? Must we assert that in general certain things actualize, while others limit themselves to existing? Must we also assert that that which limits itself to existence only gives its correlative a name, while that which actualizes gives it existence? Of this latter kind of things are the father and son, the "active" and "passive," for such things exert a kind of life and action. Must we then divide habituation in several kinds, not as possessing something similar and common in the differences, but as having a nature different in each member of the division, and thus constituting a "homonym" (or, mere verbal label)? In this case, we would apply to the active habituation the names of "doing" and "suffering," because both imply an identical action. Further, we will have to posit another "habituation" which, without itself actualizing, implies something which acts in two relative terms. For example, there is equality; which equates two objects; for it is equality which renders things equal, just as identity makes them identical; just as the names "great" and "small" are derived one from the presence of greatness, and the other from that of smallness. But if we should consider greatness and smallness in the individuals which participate therein, it must be acknowledged that such individual is greater by the act of greatness which manifests in him, and that another is smaller because of the inherent act of littleness.
HABITUATIONS ARE REASONS THAT PARTICIPATE IN FORMS.
9. It must therefore be granted that in the things of which we first spoke, such as knowing and doing (active being), there is an actualization, an habituation, and an actualizing reason; while in the other things there is a participation in form and reason. For indeed, if the bodies were the only essences, the relative habituations would bear no reality. If, on the contrary, we assign the first rank in existence to incorporeal things, and to the reasons, and if we define the habituations as reasons that participate in the forms, we should say that what is double has the double for its cause, and what is half, has the half as its cause; and that other things are what they are named because of the presence of the same, or of the contrary form. Now either two things simultaneously receive one the double, and the other the half, and one greatness, and the other smallness; or contraries such as resemblance and dissimilarity are to be found in each thing, as well as identity and difference; and everything finds itself simultaneously similar and dissimilar, identical and different. It might be objected that if one object were ugly, and another uglier still, they are such because they participate in a form. Not so; for if these two objects be equally ugly, they are equal in the absence of the form. If they be unequally ugly, the least ugly is such because it participates in a form which does not sufficiently subdue matter, and the uglier is such because it participates in a form which does so still less. They could, besides, be judged from the standpoint of deprivation, comparing them to each other as if they contained some form. The sensation is a form that results from two things (of that which feels, and that which is felt); so also with knowledge. In respect to the thing possessed, possession is an act which contains, which has a kind of efficacy. As to mensuration, which is an actualization of measure, in respect of the measured object, it consists in a reason.
WHILE SOME ARISTOTELIAN CATEGORIES ARE LOGICALLY POSSIBLE, THE OBJECTS SUBSUMED ARE IMPOSSIBLE.
If then, considering the constitution of the relative relations as a generic form, it be admitted that it constitutes an unity, it forms a classification; consequently it constitutes an existence and a form in all things. But if the reasons (or, relations) be opposed to each other, if the above-mentioned differences obtain among them, they do not constitute a class, and everything must be reduced to a resemblance, or category. Now, even if we admit that the things of which we have spoken can be reduced to a unity, it does not follow that all the things gathered under the same category by the Aristotelians, could be reduced to a single sort. Indeed, they lump together into the same classification, both objects and mere statements of their absence, as well as the objects which derive their appellation from them; as, for instance, doubleness itself, and the double object. Now how is it possible to reduce to the same classification both a thing and the mere lack of it, as, for instance, doubleness and the non-double, the relative and the non-relative? This is as absurd as it would be to gather into the same classification the living "being," and the non-living "being." Worse yet, how could one assort together duplication and the double object, whiteness and the white object? Such things could not possibly be identical.
3. QUALITIES.260
10. We are now to consider quality, on account of which a being is said to be "such." What can be the nature of this quality that it exerts the power of deciding of the phenomena of objects? Is there a same, single quality which is something common to all qualities, and which, by its differences, forms classifications? Or are the qualities so different that they could not constitute one and the same classification? What is there in common between capacity and disposition261 (that is, the physical power), the affective quality, the figure, and the exterior form?262
THE LACK OF POWERS CANNOT BE SUBSUMED UNDER THE SAME CATEGORY AS THE POWERS.
What shall be said of thickness and thinness, of fatness and leanness? If the element common to these conceptions be a power belonging to the capacities, dispositions, and physical powers, which gives to each object the power it possesses, the statements of the absence of power will no longer be classified along with (the powers). Besides, in what sense can we call the figure and form of each thing a "power?" Further, essence would have been deprived of all powers that were essential, retaining only those it might have received. Then, quality would comprehend all actualizations of the beings, which, properly, are actualizations only so far as they act spontaneously; and also all actualizations of these properties, but only so far as they really exist. But quality consists in (unessential) powers (such as habituations and dispositions) classified below beings.263 For instance, boxing ability does not belong among necessary human qualifications, such as rational functions. The latter would not be called a quality (as we would speak of boxing ability); and reasoning would be considered a quality only figuratively.
MERE DIFFERENTIALS OF BEINGS ARE NOT GENUINE QUALITIES.
A quality is therefore a power which adds (essential) characteristics to already existing beings. These characteristics which differentiate beings can therefore be called qualities only figuratively. Qualities are, rather, actualizations and reasons, or parts of reasons, which proclaim the "whatness," though the latter seem to qualify being. As to the qualities which really deserve this name, which "qualify" things, which we generally call "potentialities," they are the reasons and shapes, either of the soul or the body, such as beauty or ugliness.264
NOT ALL QUALITIES ARE REASONS.
How can all qualities be potentialities? It is easy to see that beauty and health are qualities. But how could ugliness and sickness, weakness and general impotence, be qualities? Is it because they qualify certain things? But what hinders the qualified things from being called such by mere nomenclature, as homonyms, and not because of a single (all-sufficient) reason? Besides, what would hinder them from being considered not only according to one of the four modes,265 but even after each one of the four, or at least after any two of them? First, the quality does not consist in "acting" and "experiencing";266 so that it is only by placing oneself at different viewpoints that one could call what "acts" and "experiences" a quality, in the same sense as health and sickness, disposition and habitude, force and weakness. Thus power is no longer the common element in these qualities, and we shall have to seek something else possessing this characteristic, and the qualities will no longer all be reasons. How indeed could a sickness, become a habituation, or be a reason?