Enneads VI.6: Of Numbers
How Infinity Can Subsist in the Intelligible World
How can infinity subsist in the intelligible world? Either it exists among the genuine essences, and then is determined; or it is not determined, and then it does not exist among the veritable essences, but it must be classified among the things which exist in perpetual becoming, such as time. The infinite is determinate, but it is not any the less infinite; for it is not the limit which receives the determination, but the infinite; and between the boundary and the infinite there is no intermediary that could receive the determination. This infinite acts as if it were the idea of the boundary, but it is contained by what embraces it exteriorly. When I say that it flees, I do not mean that it passes from one locality to another, for it has no locality; but I mean that space has existed from the very moment that this infinite was embraced. We must not imagine that what is called the movement of the infinite consists in a displacement, nor admit that the infinite by itself possesses any other of the things that could be named; thus the infinite could neither move, nor remain still. Where indeed would it halt, since the place indicated by the word “where” is posterior to infinity? Movement is attributed to infinity only to explain that the infinite has no permanency. Should we believe that the infinite exists on high in one only and single place, or that it arises there, and descends here below? No: for it is in respect to one only and single place that we are enabled to conceive both what has risen and does not descend, as well as that which descends.
INFINITE IS CONCEIVED BY THE THOUGHT’S MAKING ABSTRACTION OF THE FORM.
How then can we conceive the infinite? By making abstraction of form by thought. How will it be conceived? We may conceive of the infinite as simultaneously being the contraries, and not being them. It will have to be conceived as being simultaneously great and small; for the infinite becomes both of these. It may also be conceived as both being moved, and being stable; for the infinite becomes these two things also. But before the infinite becomes these two contraries, it is neither of them in any determinate manner; otherwise, you would have determined it. By virtue of its nature, the infinite is these things therefore in an indeterminate and infinite manner; only on this condition will it appear to be these contrary things. If, by applying your thought to the infinite, you do not entice it into a determination, as into a net, you will see the infinite escaping you, and you will not find anything in it that would be a unity; otherwise, you would have determined it. If you represented to yourself the infinite as a unity, it would seem to you manifold; if you say that it is manifold, it will again make game of you; for, all things do not form a manifold where no one thing is one. From still another standpoint, the nature of the infinite is movement, and according to another nature, stability; for its property of being invisible by itself constitutes a movement which distinguishes it from intelligence; its property of not being able to escape, of being exteriorly embraced, of being circumscribed within an unescapable circle constitutes a sort of stability. Movement therefore cannot be predicated of infinity, without also attributing stability to it.