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.
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.
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.
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
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.
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.
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.
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.
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.
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.
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.
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.
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.
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
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.
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
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?
Shall the affections which consist in the forms and powers, and their contraries, the privations, be called qualities?267 If so, one kind will no longer exist; and we shall have to reduce these things to a unity, or category; that is why knowledge is called a form and a power, and ignorance a privation and impotence. Must we also consider impotence and sickness a form, because sickness and vice can and do accomplish many things badly? Not so, for in this case he who missed his aim would be exerting a power. Each one of these things exerts its characteristic activity in not inclining towards the good; for it could not do what was not in its power. Beauty certainly does have some power; is it so also with triangularity? In general, quality should not be made to consist in power, but rather in the disposition, and to consider it as a kind of form of character. Thus the common element in all qualities is found to be this form, this classification, which no doubt is inherent in being, but which certainly is derivative from it.
What part do the powers (or, potentialities) play here? The man who is naturally capable of boxing owes it to a certain disposition. It is so also with somebody who is unskilful in something. In general, quality consists in a non-essential characteristic; what seems to contribute to the being, or to add to it, as color, whiteness, and color in general, contributes to the beings as far as it constitutes something distinct therefrom, and is its actualization; but it occupies a rank inferior to being; and though derived therefrom, it adds itself thereto as something foreign, as an image and adumbration.
If quality consist in a form, in a character and a reason, how could one thus explain impotence and ugliness? We shall have to do so by imperfect reasons, as is generally recognized in the case of ugliness.268 But how can a "reason" be said to explain sickness? It contains the reason of health, but somewhat altered. Besides, it is not necessary to reduce everything to a reason; it is sufficient to recognize, as common characteristic, a certain disposition foreign to being, such that what is added to being be a quality of the subject. Triangularity is a quality of the subject in which it is located, not by virtue of its triangularity, but of its location in this subject, and of enduing it with its form. Humanity has also given to man his shape, or rather, his being.
11. If this be so, why should we recognize several kinds of qualities? Why should we distinguish capacity and disposition? Whether quality be durable or not, it is always the same; for any kind of a disposition is sufficient to constitute a quality; permanence, however, is only an accident, unless it should be held that simple dispositions are imperfect forms, and that capacities are perfect forms. But if these forms be imperfect, they are not qualities; if they be already qualities, permanence is but an accident.
How can physical powers form a secondary kind of qualities? If they be qualities only so far as they are powers, this definition would not suit all qualities, as has been said above. If boxing ability be a quality as far as it is a disposition, it is useless to attribute to it a power, since power is implied in habituation. Further, how should we distinguish the natural boxing ability from that which is scientifically acquired? If both be qualities, they do not imply any difference so far as one is natural, and the other acquired; that is merely an accident, since the capacity of boxing is the same form in both cases.
What does it matter that certain qualities are derived from an affection, and that others are not derived therefrom? The origin of qualities contributes nothing to their distinction or difference. If certain qualities be derived from an affection, and if others do not derive therefrom, how could they be classified as one kind? If it be said that some imply "experiencing" while others imply "action," they can both be called qualities merely by similarity of appellation (homonymy).
What could be said of the shape of every thing? If we speak of the shape as far as something has a specific form, that has no regard to quality; if it be spoken of in respect to beauty or ugliness, together with the form of the subject, we there have a reason.
As to rough, united, rare and dense269 these could not be called qualities; for they do not consist only in a relative separation or reapproximation of the parts of a body, and do not proceed everywhere from the inequality or equality of position; if they did, they might be regarded as qualities. Lightness and weight, also, could be correctly classified, if carefully studied. In any case, lightness is only a verbal similarity (a "homonym") unless it be understood to mean diminution of weight. In this same class might also be found leanness and slimness, which form a class different from the four preceding ideas.
12. What other scheme of analysis of quality could we find, if the above were declared unsatisfactory? Must we distinguish first the qualities of the soul from those of the body, and then analyse the latter according to the senses, relating them to sight, hearing, taste, smell and touch?
To begin with, how can the qualities of the soul be divided? Will they be related to the faculty of desire, to anger, or reason? Will they be divided according to their suitable operations, or according to their useful or harmful character? In this case, would we distinguish several ways of being useful or harmful? Should we then likewise divide the properties of the bodies according to the difference of their effects, or according to their useful or harmless character, since this character is a property of quality? Surely; to be useful or harmful seems to be the property of both the quality, and the thing qualified. Otherwise, we should have to seek some other classification.
How can the thing qualified by a quality refer to the quality? This must be studied, because the thing qualified and the quality do not belong to a common kind. If the man capable of boxing be related to the quality, why should not the same quality obtain between the active man and activity? If then the active man be something qualified, "activity" and "passivity" should not be referred to relation. It would seem preferable to relate the active man to the quality if he be active by virtue of a power, for a power is a quality; but if the power be essential, in so far as it is a power, it is not something relative, nor even something qualified. We should not consider that activity corresponds to increase; for the increase, so far as it increases, stands in relation only to the less; while activity is such by itself. To the objection that activity, so far as it is such, is something qualified, it might be answered that, at the same time, as far as it can act on something else, and that it is thus called active, it is something relative. In this case the man capable of boxing and the art of boxing itself must be in relation. For the art of boxing implies a relation; all the knowledge it imparts is relative to something else. As to the other arts, or at least, as to the greater number of other arts, it may, after examination, be said that they are qualities, so far as they give a disposition to the soul; as far as they act, they are active, and, from this standpoint, they refer to something else, and are relative; and besides, they are relative in the sense that they are habituations.
Will we therefore have to admit that activity, which is activity only because it is a quality, is something substantially different from quality? In animated beings, especially in those capable of choice because they incline towards this or that thing, activity has a really substantial nature. What is the nature of the action exercised by the inanimate powers that we call qualities? Is it participation in their qualities by whatever approaches them? Further, if the power which acts on something else simultaneously experiences (or "suffers"), how can it still remain active? For the greater thing, which by itself is three feet in size, is great or small only by the relation established between it, and something else (smaller). It might indeed be objected that the greater thing and the smaller thing become such only by participation in greatness or smallness. Likewise, what is both "active" and "passive" becomes such in participating in "activity" and "passivity."
Can the qualities seen in the sense-world, and those that exist in the intelligible world, be classified together in one kind? This question demands an answer from those270 who claim that there are also qualities in the intelligible world. Should it also be asked of those who do not admit of the existence on high of kinds, but who limit themselves to attributing some habit to Intelligence? It is evident that Wisdom exists in Intelligence; if this Wisdom be homonymous (similar in name only) with the wisdom which we know here below, it is not reckoned among sense-things; if, on the contrary it be synonymous (similar in nature also) with the wisdom which we know here below, quality would be found in intelligible entities, as well as in sense-things (which is false); unless indeed it be recognized that all intelligible things are essences, and that thought belongs among them.
Besides, this question applies also to the other categories. In respect to each of them it might be asked whether the sensible and the intelligible form two different kinds, or belong to a single classification.
13. As to the category of time, "when," the following thoughts are suggested.
If to-morrow, to-day, and yesterday, as well as other similar divisions of time, be parts of time, why should they not be classed in the same classification as time itself, along with the ideas "it has been," "it is," and "it will be?" As they are kinds of time, it seems proper that they should be classified along with time itself. Now time is part of quantity. What then is the use of another category? If the Aristotelians say that not only "it has been" and "it will be" are time-concepts, but "yesterday" and "formerly," which are varieties of "there has been" are also time-concepts (for these terms are subordinated to "there has been"), that it is not only "now" that is time, but that "when" is such also, they will be forced to answer as follows: First, if "when" be time, time exists; then, as "yesterday" is past time, it will be something composite, if the past be something else than time; we will have to erect two categories, not merely a simple category. For instance, they say both that "when" is in time, without being time, and say that "when" is that which is in time. An example of this would be to say that Socrates existed "formerly," whereby Socrates would really be outside of (present) time. Therefore they are no longer expressing something single. But what is meant by Socrates "being in time," and that some fact "is in time?" Does it mean that they are "part of time?" If, in saying "a part of time," and "so far as it is a part of time," the Aristotelians believe that they are not speaking of time absolutely, but only of a past part of time, they are really expressing several things. For this "part," so far as it is a part, is by them referred to something; and for them the past will be some thing added (to Time), or it will become identified with "there has been," which is a kind of time. But if they say that there is a difference, because "there has been" is indeterminate, while "formerly" and "yesterday" are determinate, we shall be deciding something about "there has been;" then "yesterday" will be the determination of "there has been," so that "yesterday" will be determined time. Now, that is a quantity of time; so that if time be a quantity, each one of these two things will be a determined quantity. But, if, when they say "yesterday" they mean thereby that such an event has happened in a determined past time, they are still expressing several things. Therefore, if some new category is to be introduced whenever one thing acts in another, as here happened of what occurred in time, we might have to introduce many additional categories, for in a different thing the action is different. This will, besides, become clearer in what is to follow on the category of place.
14. The Aristotelians (while treating of this category) say, Where? For instance, "to the Lyceum," or, "to the Academy." The Academy and the Lyceum are then places and parts of places, as the "top," the "bottom," and "here" are parts or classes of place. The only difference consists in a greater determination. If then the top, the bottom, and the middle be places, as, for instance, "Delphi is the middle of the earth," and, "the Lyceum and other countries are near the middle of the earth," what else but place do we have to seek, since we have just said that each of these things denotes a place? If, when we say "where?" we assert that one thing is in another place, we are not expressing something single and simple. Besides, each time that we affirm that such a man is there, we are creating a double relation, namely, the relation of the man who is there, with the place where he is, and the relation of the containing place and the contained man. Why therefore should we not reduce this to the class of relations, since the relation of both terms with each other produces something? Besides, what is the difference between "here" and "at Athens?" The Aristotelians grant that "here" indicates the place; consequently, the same is true of "in Athens." If, "in Athens" be equivalent to "being in Athens," this latter expression contains two categories, that of place, and that of being. Now, this should not be the case; for as one should not say "Quality exists," but only, "quality." Besides, if being in place and being in time presuppose categories other than place and time, why would "being in a vase" not also constitute a separate category? Why would it not be so with "being in matter," with "being in the subject," and in general of a part "being in the whole," or the "whole in the parts," the "genus in the species," and the "species in the genus?" In this manner we would have a far greater number of categories.
The subject of action gives rise to the following considerations.
15. The Aristotelians hold that number and quantity, and other things referring to being should be subordinated to being; thus they classify quantity as in a genus different from being. Quality also refers to being, it also is erected into a separate genus. Consequently, as action also refers to being, it is also considered a separate genus. Must then "acting," or rather "action," from which "acting" is derived, be considered a separate genus, as we consider that quality, from which qualification is derived, is a separate genus? (As to these derivations), it might be asked whether there were no distinction between "action," "to act," and "active," or between "to act," and "action?" "To act" expresses the idea of "active," while "action" does not express it. "To act" means "to be in some action;" or rather, "in actualization." Consequently, "actualization" expresses a category rather than "action;" since actualization is predicated of being, like quality, as was said above; and actualization, like movement, also relates to being; but movement necessarily constitutes a class of essence. How indeed could we admit that quantity, quality and relation each form a genus, in respect to being, and yet refuse to movement, which equally refers to being, the privilege of also forming a genus of being?
16. It may be objected that movement is an imperfect actualization.272 In that case actualization should be given the first rank; and under that genus would follow the species of movement, with the quality of imperfection, by saying that movement is an actualization, and adding (the specific difference) that it is imperfect. To say that movement is an imperfect actualization does not deprive it of being an actualization, but implies that though it be actualization, there is in it succession, not to arrive at being actualization, (which it is already), but to accomplish something from which it is yet entirely distinct. Then (when that goal is reached), it is not the movement that becomes perfect, but the thing which was the goal. For instance, walking is walking from the very first step; but if there be a mile to go, and the mile be not yet finished, what is lacking of the mile is not lacking to the walking or to movement (taken absolutely), but to that particular walk. For the walk was walking and movement from the very first step; consequently, he who is moving has already moved, and he who cuts has already cut.273 Just as actualization, movement has no need of time; it needs time only to become such an action. If then actualization be outside of time, movement, taken absolutely, must also be outside of time. The objection that movement is in time because it implies continuity (proves too much; for in that case) intuition itself, if prolonged, would also imply continuity, and therefore would be in time. Reasoning by induction, it may be seen, 1, that one can always distinguish parts in any kind of movement; 2, that it would be impossible to determine when and since when the movement began, or to assign the definite point of departure; 3, that it is always possible to divide movement by following it up to its origin, so that in this manner movement that has just begun would find itself to have begun since infinite time, and, 4, that movement would be infinite in regard to its beginning. The fact is that the Aristotelians distinguish movement from actualization; they affirm that actualization is outside of time, but that time is necessary to movement; not indeed to some particular movement, but to movement in itself, because, according to their views, it is a quantity. Nevertheless, they themselves acknowledge that movement is a quantity only by accident, as, for instance, when it is a daily movement, or when it has some particular duration. Just as actualization is outside of time, nothing hinders movement from having begun outside of time, and time from being connected with movement only because the movement has a certain duration. Indeed, it is generally granted that changes occur outside of time, for it is usual to say, The changes occur either suddenly or successively. Now if change can occur outside of time, why should it not be so also with movement? We here speak of change, and not of "having changed;" for change does not necessarily have to be accomplished (while "having changed" signifies an accomplished fact, and consequently implies the notion of time).
17. It may be objected that actualization and movement do not, by themselves, form a genus, but belong to the genus of relation, because actualization exists through the power of something active, and movement exists by the power of some motor, as such. We might answer that relative conceptions are produced by habituation (the manner of being) even of things, and not only through the relation established between them by the mind. As the habituation is a mode of "hypostatic" existence, although it be the "thing of something else," or although it refer to something else,274 it nevertheless possesses its nature before being a relation. Now this actualization, this movement, this habituation, which is the "thing of some other thing" nevertheless possesses the property of existing and of being conceived by itself before being a relation; otherwise, all things would be relative conceptions; for there is nothing, not excluding the soul herself, which does not bear some relation to something else. Moreover, why are "action" and "acting" not relatives? For they necessarily are either a movement or an actualization. If the Aristotelians consider "action" a relative, and make a genus of "acting," why then do they not also place "movement" among the relatives, and make a genus of "moving?" They might, indeed, have subsumed under the genus "movement" the two species "action" and "reaction" (or, "suffering"); but they have no right to make two distinct genera of "acting" and "reacting," as they generally do.
18. We must further examine if the Aristotelians have the right to say that acting contains both actualizations and movements, the actualizations producing themselves instantaneously, and the movements successively; as, for instance, dividing implies time. Or will they say that all actualizations are movements, or, at least, are accompanied by movements? Will they trace all actions to "experiencing" (or, reactions), or will they acknowledge absolute actions, like walking or speaking? Or will they distinguish all actions that relate to "experiencing" as movements, and all absolute actions as actualizations? Or will they place actions of both kinds among movements, and among actualizations? They would no doubt classify walking, which is an absolute thing, as movement; and thinking, which is a verb without passive voice, as an actualization.275 Otherwise the Aristotelians will be obliged to insist that there is nothing active in walking or thinking. But if walking and thinking do not belong to the category of acting, it will be necessary to explain to what they do belong. Will it be said that thinking relates to the thinkable (the intelligible), as intellection does,276 because sensation relates to the sense-object? If sensation be related to the sense-object, why do they not equally relate "sensing" (feeling) to the sense-object? Sensation, relating to something else, has a relation with that thing; but, besides that relation, it has the property of being an "action" or an "experience" (or, reaction). If therefore reaction (or, suffering), besides belonging to something else, or depending on something else, has the property of itself being something, like actualization, then walking, besides belonging to something else (to the feet), and depending on something else (on the motive power), nevertheless by itself possesses the property of being movement. In this case, it will have to be recognized that intellection, besides being a relation, by itself also is a movement or an actualization.
19. Let us now examine if certain actualizations seem to be imperfect when they are not joined to time, thus identifying themselves with movements, as life identifies itself with living. For (according to the Aristotelians) the life of each (being) is accomplished in a perfect time, and happiness is an actualization; not an individual one, indeed, but a sort of movement.277 Consequently we will have to call life and happiness movements, and movement will have to be made a genus, though recognizing that movement forms a genus very different from quantity and quality; and, like them, relates to being. This genus could be divided into two species, movements of body and movements of soul, or movements spontaneous and communicated; or again, movements proceeding from the beings themselves, or movements proceeding from others. In this case, the movements proceeding from the beings themselves are actions, whether they communicate to others, or remain absolute in themselves (and not communicating to others, like speaking and walking); and the movements proceeding from others are "reactions" though the communicated movements seem to be identical with the movements proceeding from others. For example, division is one and the same thing, whether it be considered within him who divides, or in that which is divided; nevertheless dividing is something different from being divided. Or again, division is not one and the same thing according as it proceeds from him who divides, or as it is received by him who is divided; to divide means to cause in the divided thing another movement, which is the result of the dividing action or movement. Perhaps, indeed, the difference does not lie in the very fact of being divided, but in the movement which results from the division, as for instance, in suffering; for this is what constitutes reaction (or "passion").
What are we to say if there be no suffering? We might answer that the actualization of him who acts is simply present in such a thing (without correlative reaction). There are thus two manners of acting; to act within oneself, and to act outside of oneself. No more will it then be said that the first mode is proper acting, and the second reacting, but that there are two ways of acting outside of oneself, acting and reacting. For instance, writing is an operation in which one acts on something else without a correlative reaction, because in writing one produces nothing but the very actualization of writing, and not something else, like experiencing; for the quality of writing that has been produced is nothing that reacts (or, experiences). As to walking, though the earth be stepped on by the feet, it does not react (or, experience) as a consequence. On the contrary, if it be the body of an animal that is trod under feet, it may be conceived that there is reaction, because one then thinks of the suffering endured by the animal thus trod on, and not of the walking; otherwise, this reaction would have been conceived before (the notion of this reaction would have been implied in the very notion of walking).
Thus, in everything, acting forms but a single genus along with reacting, which (by the Aristotelians) is considered its opposite. Reacting is what follows acting, without being its contrary; to be burnt, for instance, follows burning, but is not its contrary. In this case, the reaction is what results in the object itself from the fact of burning, or of being burnt, which form but one (process), whether the result be suffering, or something else, as, for instance, depreciation. It might be objected, When one (being) makes another suffer, is it not true that the one acts, and the other reacts? Here from a single actualization result two facts, an action, and a reaction. Besides, it is not necessary to include in the action the will to cause suffering; it has only produced something else as a result of which it causes suffering, something which occurring in the being that suffers, and being one single (occurrence), that causes suffering. What then is this one identical thing which is anterior to the suffering? When there is no suffering, is there not nevertheless a reaction in him in whom is the modification? For instance, in him who hears? No: to hear is not to react, and sensation is not really a reaction;278 but to suffer is to experience a reaction, and the reaction is not the contrary of the action (in the sense we have explained).
20. Let it be granted, then, that reaction is not the contrary of action. Nevertheless, as it differs therefrom, it could not share the same genus. If both reaction and action be movements, they share the same genus, that of alteration, which is a movement, as respects quality.279 When alteration proceeds from the being endowed with quality, is there any action, though this being remain impassible? Yes, for though impassible, it is active. It may be asked, is this being no longer active when it acts on some other object, as, for instance, by striking it, and then reacts? The answer is, that it would be active and passive simultaneously. If it be active, when it reacts—when, for instance, it rubs—why is it considered active rather than passive? Because it reacts in being rubbed while it rubs. Could we say that, because it is moved while moving, there were in it two movements? But how could there be two movements in it? Shall we assert that there is but one? In this case, how could the same movement be action and reaction simultaneously? Doubtless, it will be considered action, in so far as it proceeds from the mover; and reaction, inasmuch as it passes from the mover into the moved; and this, without ceasing to be one and the same thing. Would you say that reaction was a movement of a kind different from action? How then would the altering movement in a certain manner modify what reacts without an equal reaction in what is acting? But how (can we conceive) of reaction in that which acts on another object? Is the mere presence of the movement in the moved sufficient to constitute reaction?280 But if, on one hand, the ("seminal) reason" of the swan whitens, and on the other hand the swan that is being born becomes white, shall we say that the swan is passive in becoming what it is his nature to be? If he becomes white even after his birth, is he still passive? If one thing increase, and another thing be increased, will we admit that the thing that increases reacts? Will we rather attribute reaction to the thing qualified? If one thing be embellished, and another thing embellishes it, could we say that the embellished thing reacts?281 If however, the embellishing thing decreases, and, like tin, tarnishes, or on the contrary, like copper, takes on polish; shall we say that the tin acts, and the copper reacts (that is, "suffers")? Besides, it would be impossible to say that that which learns is passive (suffering)? Would this be because the action of him who acts passes into him? But how could there be any reaction ("suffering") since there is nothing there but an act? This action, no doubt, is not a reaction ("suffering"); but he who receives it is passive, because he participates in passivity. Indeed, from the fact that the learner does not himself act, it does not necessarily result that he is passive; for learning is not being struck, but grasping and discerning, as takes place with the process of vision.
21. How may we define the fact of "reaction"? We do not approve of the definition that it is the passing of the actualization from one being into another, if its receiver appropriate it. Shall we say that a (being) reacts when there is no actualization, but only an effective experience? But is it not possible that the being that reacts becomes better; while, on the contrary, the one who acts, loses? A (being) may also act in an evil manner, and exercise on another a harmful influence; and the actualization may be shameful, and the affective experience be honorable. What distinction shall we then establish (between action and reaction)? Shall we say that an action is to cause (an actualization) to pass from self into others, and that reaction is to receive in oneself (an action) from someone else? But then what about the (actualizations) produced in oneself which do not pass into others, such as thought and opinion? One can even excite oneself by a reflection or opinion of emotive value, without this emotion having been aroused by anybody else. We shall therefore define an action as a spontaneous movement, whether this movement remain in the being who produces it, or whether it pass into somebody else.
What then are the faculty of desire, and desire in general? If desire be excited by the desired thing (it is an experience, or passion), even if we should not take into consideration the cause of its excitement, and even if we only noticed that it arose later than the object; for this desire does not differ from an impression or an impulsion.
Shall we then, among desires, distinguish actions when they proceed from intelligence, and experiences when they invoke and draw (on the soul), so that the being be less passive by what it receives from others, than by what it receives from itself? Doubtless a being can act upon itself. (We can then define) an affective experience, and a being's experience, as follows. They consist of undergoing, without any contribution from oneself, a modification which does not contribute to "being," and which, on the contrary, alters, or at least, does not improve.
To this (definition) it may be objected that if warming oneself consist in receiving such heat as partially contributes to the subject's being, and partly does not do so, then we have here one and the same thing which both is, and is not an experience. To this it may be answered that there are two ways of warming oneself. Besides, even when the heating contributes to the being, it does so only in the degree that some other object experiences. For instance, the metal will have to be heated, and undergo an experience, for the production of the being called statue, although this statue itself be heated only incidentally. If then the metal become more beautiful by the effect of that which heats it, or by the effect of the heating itself, it undergoes an experience; for there are two manners of (undergoing an experience, or) suffering: the one consists in becoming worse, and the other in becoming better—or at least, in not altering.
22. The cause that a being undergoes an experience is that it contains the kind of movement called alteration, whichever way it modify him; on the contrary, action means to have in oneself a definite movement, derived from oneself, or a movement which has its goal in some other being, and its origin in self. In both cases there is movement; but with this distinction: that action, so far as it is action, is impassible; while an experience consists in the experiencer's reception of a disposition new to him, without the reception of anything that contributes towards his being; so as to avoid (the case of the statue, above, where) the experience happened to one being (the metal), while it was another being that was produced (the statue). Consequently, the same thing will in one state be an action, and in other, an experience. Thus the same movement will in one being be an action, because it is considered from a certain viewpoint; and from another it will be an experience, because it is disposed some other way. Action and experience seem therefore to be relative, if one consider the action in its relation with experience, since the same thing is action in the one, and experience in the other. Also, because neither of these two can be considered in itself, but only in him who acts, or experiences, when the one moves, and the other is moved. Each of these terms therefore implies two categories; one gives the movement, the other receives it; consequently we have transmission and reception, which result in relation. If he who received the movement possesses it as he possesses color, why could it not also be said that he possessed movement? Absolute movements, such as walking (and thinking) possess steps and thought.