Enneads VI.6: Of Numbers
The Supreme Unity Adjusts All Lower Group Unities
As unity is seen in some one (being), and then in some other, if the second unity possess hypostatic existence also, then the supreme Unity (of the first Essence) will not alone possess hypostatic existence, and there will be thus a multitude of unities (as there is a multitude of beings). If the hypostatic existence of the first Unity be alone acknowledged, this will exist either in the Essence in itself, or in the One in itself. If it exist in the Essence in itself, the other unities (which exist in the other beings) will then be such merely by figure of speech, and will no longer be subordinated to the primary unity; or number will be composed of dissimilar unities, and the unities will differ from each other in so far as they are unities. If the primary unity exist already in the Unity in itself, what need would that Unity in itself have of that unity to be one? If all that be impossible, we shall have to recognize the existence of the One which is purely and simply one, which, by its “being” is entirely independent of all the other beings, which is named the chief Unity, and is conceived of as such. If unity exist on high (in the intelligible world) without any object that may be called one, why might not another One (the one of the first Being) subsist on high also? Why would not all the (beings), each being a separate unity, not constitute a multitude of unities, which might be the “multiple unity”? As the nature (of the first Being) begets, or rather, as it has begotten (from all eternity); or at least, as it has not limited itself to one of the things it has begotten, thus rendering the unity (of the first Being) somewhat continuous; if it circumscribe (what it produces) and promptly ceases in its procession, it begets small numbers; if it advance further, moving alone not in foreign matters, but in itself, it begets large numbers. It thus harmonizes every plurality and every being with every number, knowing well that, if each of the (beings) were not in harmony with some number, either they would not exist, or they would bear neither proportion, measure, nor reason.
ONE AND UNITY ARE WITHIN US; INDEPENDENTLY OF THE ONE OUTSIDE.
12. (Aristotle) objects that “One” and “Unity” have no hypostatic (or, genuine) existence. Everywhere the One is something that is one. That is nothing but a simple modification experienced in our soul in presence of each essence. We might as easily affirm that when we assert “essence,” this is but a simple modification of our soul, Essence (in itself) being absolutely nothing. If it be insisted that Essence exists because it excites and strikes our soul, which then represents it to herself, we see that the soul is equally impressed by the One, and represents Him to herself. Besides, we should ask (Aristotle) if this modification or conception of our soul do not bear to us the aspect of unity or the manifold? So much the more, we often say that an object is not one; evidently we then are not deriving the notion of unity from the object, because we are affirming that there is no unity in it. Unity therefore dwells within us, and it is in us without the object of which we predicate that it is some one thing.
THERE IS INDEED A UNITARY MODE OF EXISTENCE IN OUTSIDE OBJECTS.
It may be objected that having this unity in our soul depends on receiving from the exterior object a notion and an image, which is a conception furnished by this object. As the philosophers who profess this opinion do not differentiate the species of one and of number, and as they allow them no other hypostatic existence (than to be conceived by our soul), if they (practically do) allow them any sort of hypostatic existence, it will be very interesting to scrutinize the opinions of these. They then say that the notion or conception that we have of the one or of the number derives from the objects themselves, is a notion as much “a posteriori” as those of “that,” “something,” “crowd,” “festival,” “army,” or of “multitude”; for, just as the manifold is nothing without the multiple objects, nor a festival without the men gathered to celebrate the religious ceremony, thus “the One” is nothing without the one object, when we posit the one, conceiving it alone, having made an abstraction of everything else. The partisans of this opinion will cite many examples of the same kind, as the “right hand side,” “the upper part,” and their contraries. What reality indeed (to speak as they do), can the “right hand side” possess outside of a person who stands or sits here or there? The case is similar with “the upper side,” which refers to a certain part of the universe, and the “lower side” to another. Our first answer to this argument is that we will allow that there is a certain kind of existence in the things themselves of which we have just spoken; but that this mode of existence is not identical in all things, considered either in respect to each other, or each in respect to the One which is in all. Further, we intend to refute one by one these arguments that have been opposed to us.
THE NOTION OF THE SUBJECT ONE DOES NOT COME FROM THE SUBJECT ITSELF.
13. To begin with, it is unreasonable to insist that the notion of the subject one comes to us from the subject itself (which is one), from the visible man, for instance, or from some other animal, or even some stone. Evidently the visible man and the One are things entirely different, which could not be identified; otherwise, our judgment would not be able (as it is) to predicate unity of the non-man. Besides, as the judgment does not operate on emptiness for the right side, and other such things, seeing a difference of position when it tells us that an object is here, or there; likewise, it also sees something when it says that an object is one; for it does not experience there an affection that is vain, and it does not affirm unity without some foundation. It cannot be believed that the judgment says that an object is one because it sees that it is alone, and that there is no other; for, while saying that there is no other, the judgment implicitly asserts that the other is one. Further, the notions of “other” and “different” are notions posterior to that of unity; if the judgment did not rise to unity, it would not assert either the “other” nor the “different”; when it affirms that an object is alone, it says, “there is one only object”; and therefore predicates unity before “only.” Besides, the judgment which affirms is itself a substantial (being) before affirming unity of some other (being); and the (being) of which it speaks is one likewise before the judgment either asserts or conceives anything about it. Thus (being) must be one or many; if it be many, the one is necessarily anterior, since, when the judgment asserts that plurality is present, it evidently asserts that there is more than one; likewise, when it says that an army is a multitude, it conceives of the soldiers as arranged in one single corps. By this last example, it is plain that the judgment (in saying one body), does not let the multitude remain multitude, and that it thus reveals the existence of unity; for, whether by giving to the multitude a unity which it does not possess, or by rapidly revealing unity in the arrangement (which makes the body of the multitude), the judgment reduces multitude to unity. It does not err here about unity, any more than when it says of a building formed by a multitude of stones that it is a unity; for, besides, a building is more unified than an army.
If, further, unity inhere in a still higher degree in that which is continuous, and in a degree still higher in what is not divisible, evidently that occurs only because the unity has a real nature, and possesses existence; for there is no greater or less in that which does not exist.