NUMBER AND DIMENSION DIFFER SO MUCH AS TO SUGGEST DIFFERENT CLASSIFICATION.
It is evident that quantity informs us of the amount of a thing, and permits us to measure this; therefore itself must be an amount. This then is the element common to number (the discrete quantity), and to continuous dimension. But number is anterior, and continuous dimension proceeds therefrom; number consists in a certain blending of movement and stability; continuous dimension is a certain movement or proceeds from some movement; movement produces it in its progress towards infinity, but stability arrests it in its progress, limits it, and creates unity. Besides, we shall in the following explain the generation of number and dimension; and, what is more, their mode of existence, and how to conceive of it rightly. It is possible that we might find that number should be posited among the primary genera, but that, because of its composite nature, continuous dimension should be posited among the posterior or later genera; that number is to be posited among stable things, while dimension belongs among those in movement. But, as said above, all this will be treated of later.
QUALITY IS NOT A PRIMARY GENUS BECAUSE IT IS POSTERIOR TO BEING.
14. Let us now pass on to quality. Why does quality also fail to appear among the primary genera? Because quality also is posterior to them; it does indeed follow after being. The first Being must have these (quantity and quality) as consequences, though being is neither constituted nor completed thereby; otherwise, being would be posterior to them. Of course, as to the composite beings, formed of several elements, in which are both numbers and qualities, they indeed are differentiated by those different elements which then constitute qualities, though they simultaneously contain common (elements). As to the primary genera, however, the distinction to be established does not proceed from simpleness or compositeness, but of simpleness and what completes being. Notice, I am not saying, "of what completes 'some one' being"; for if we were dealing with some one being, there would be nothing unreasonable in asserting that such a being was completed by a quality, since this being would have been in existence already before having the quality, and would receive from the exterior only the property of being such or such. On the contrary, absolute Being must essentially possess all that constitutes it.
COMPLEMENT OF BEING IS CALLED QUALITY ONLY BY COURTESY.
Besides, we have elsewhere pointed out[315] that what is a complement of being is called a quality figuratively only;[306] and that what is genuinely quality comes from the exterior, posteriorly to being. What properly belongs to being is its actualization; and what follows it is an experience (or, negative modification). We now add that what refers to some being, cannot in any respect be the complement of being. There is no need of any addition of "being" (existence) to man, so far as he is a man, to make of him a (human) being. Being exists already in a superior region before descending to specific difference; thus the animal exists (as being) before one descends to the property of being reasonable, when one says: "Man is a reasonable animal."[316]
THE FOUR OTHER CATEGORIES DO NOT TOGETHER FORM QUALITY.
15. However, how do four of these genera complete being, without nevertheless constituting the suchness (or, quality) of being? for they do not form a "certain being." The primary Essence has already been mentioned; and it has been shown that neither movement, difference, nor identity are anything else. Movement, evidently, does not introduce any quality in essence; nevertheless it will be wise to study the question a little more definitely. If movement be the actualization of being, if essence, and in general all that is in the front rank be essentially an actualization, movement cannot be considered as an accident. As it is, however, the actualization of the essence which is in actualization, it can no longer be called a simple complement of "being," for it is "being" itself. Neither must it be ranked amidst things posterior to "being," nor amidst the qualities; it is contemporaneous with "being," for you must not suppose that essence existed first, and then moved itself (these being contemporaneous events). It is likewise with stability; for one cannot say that essence existed first, and then later became stable. Neither are identity or difference any more posterior to essence; essence was not first unitary, and then later manifold; but by its essence it is one manifold. So far as it is manifold, it implies difference; while so far as it is a manifold unity, it implies identity. These categories, therefore, suffice to constitute "being." When one descends from the intelligible world to inferior things, he meets other elements which indeed no longer constitute absolute "being," but only a "certain being," that possesses some particular quantity or quality; these are indeed genera, but genera inferior to the primary genera.
RELATION IS AN APPENDAGE EXISTING ONLY AMONG DEFINITE OBJECTS.
16. As to relation, which, so to speak, is only an offshoot or appendage,[317] it could certainly not be posited amidst the primary genera. Relation can exist only between one thing and another; it is nothing which exists by itself; every relation presupposes something foreign.