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 disposition[261] (that is, the physical power), the affective quality, the figure, and the exterior form?[262]