9. It remains for us to discover whether it were "Being," in the process of division, that begat number, or whether it be the number that divided "Being." (This is the alternative:) either "being," movement, stability, difference and identity produced number, or it is number that produced all these (categories, or) genera. Our discussion must start thus. Is it possible that number should exist in itself, or must we contemplate two in two objects, three in three objects, and so forth? The same question arises about unity as considered within numbers; for if number can exist in itself independently of numbered things,[19] it can also exist previously to the essences. Can number therefore exist before the essences? It might be well preliminarily to assert that number is posterior to the Essence, and proceeds therefrom. But then if essence be one essence, and if two essences be two essences, one will precede essence, and the other numbers will precede the essences. (Would number then precede the essences) only in thought and conception, or also in the hypostatic existence? We should think as follows. When you think of a man as being one, or the beautiful as being one, the one that is thus conceived in both (beings) is something that is thought only afterward. Likewise, when you simultaneously consider a dog and a horse, here also two is evidently something posterior. But if you beget the man, if you beget the horse or the dog, or if you produce them outside when they already exist in you, without begetting them, nor producing them by mere chance (of seeing them), you will say, "We should go towards one (being), then pass to another, and thus get two; then make one more being, by adding my person." Likewise, (beings) were not numbered after they were created, but before they were created, when (the creator) decided how many should be created.
NUMBER SPLIT THE UNITY INTO PLURALITY; PYTHAGOREAN IDENTIFICATION OF IDEAS AND NUMBERS.
The universal Number therefore existed before the essences (were created); consequently, Number was not the essences. Doubtless, Number was in Essence; but it was not yet the number of Essence; for Essence still was one. But the power of Number, hypostatically existing within it, divided it, and made it beget the manifold. Number is either the being or actualization (of Essence); the very Organism and Intelligence are number. Essence is therefore the unified number, while the essences are developed number; Intelligence is the number which moves itself, and the Organism is the number that contains. Since therefore Essence was born from Unity, Essence, as it existed within Unity, must be Number. That is why (the Pythagoreans[20]) called the ideas unities and numbers.
TWO KINDS OF NUMBER: ESSENTIAL AND UNITARY.
Such then is "essential" Number (number that is "Being"). The other kind of number, which is called a number composed of digits, or "unities," is only an image of the former. The essential Number is contemplated in the intelligible forms, and assists in producing them; on the other hand, it exists primitively in essence, with essence, and before the essences. The latter find therein their foundation, source, root and principle.[21] Indeed, Number is the principle of Essence, and rests in it, otherwise it would split up. On the contrary, the One does not rest upon essence; otherwise essence would be one before participating in the One; likewise, what participates in the decad would be the decad already before participating in the decad.
ESSENCE IS A LOCATION FOR THE THINGS YET TO BE PRODUCED.
10. Subsisting therefore in the manifold, Essence therefore became Number when it was aroused to multiplicity, because it already contained within itself a sort of preformation or representation of the essences which it was ready to produce, offering the essences, as it were, a locality for the things whose foundation they were to be. When we say, "so much gold," or, "so many other objects," gold is one, and one does not thereby intend to make gold out of the number, but to make a number out of the gold; it is because one already possesses the number that one seeks to apply it to gold, so as to determine its quality. If essences were anterior to Number, and if Number were contemplated in them when the enumerating power enumerates the objects, the number of the (beings), whatever it is, would be accidental, instead of being determined in advance. If this be not the case, then must number, preceding (the beings) determine how many of them must exist; which means that, by the mere fact of the primitive existence of the Number, the (beings) which are produced undergo the condition of being so many, and each of them participates in unity whenever they are one. Now every essence comes from Essence because essence, by itself, is Essence; likewise, the One is one by itself. If every (being) be one, and if the multitude of (beings) taken together form the unity that is in them, they are one as the triad is one, and all beings also are one; not as is the Monad (or Unity), but as is a thousand, or any other number. He who, while enumerating, produced things, proclaims that there are a thousand of them, claims to do no more than to tell out what he learns from the things, as if he was indicating their colors, while really he is only expressing a condition of his reason; without which, he would not know how much of a multitude was present there. Why then does he speak so? Because he knows how to enumerate; which indeed he knows if he know the number, and this he can know only if the number exist. But not to know what is the number, at least under the respect of quantity, would be ridiculous, and even impossible.
AN OBJECT'S EXISTENCE IMPLIES A PREVIOUS MODEL IN ITSELF.
When one speaks of good things, one either designates objects which are such by themselves, or asserts that the good is their attribute. If one designate the goods of the first order,[22] one is speaking of the first Hypostasis, or rank of existence; if one designate the things of which the good is the attribute, this implies the existence of a nature of the good which has been attributed to them, or which produces this characteristic within them, or which is the Good in itself, or which, producing the good, nevertheless dwells in its own nature. Likewise, when, in connection with (beings), we speak of a decad, (or, group of ten), one is either referring to the Decad in itself, or, referring to the things of which the decad is an attribute, one is forced to recognize the existence of a Decad in itself, whose being is that of a decad. Consequently, the conferring of the name "decad" implies either that these (beings) are the Decad in itself, or above them in another Decad whose being is that of being a Decad in itself.