2. What opinion should we hold of that which is called the number of infinity? We must begin by examining how it can be a number, if it be infinite. Indeed, sense-objects are not infinite; consequently, the number which inheres in them could not be infinite, and he who numbers them, does not number infinity. Even if they were multiplied by two, or by more, they still could always be determined; if they were multiplied in respect of the past or the future, they would still be determined. It might be objected that number is not infinite in an absolute manner, but only (in a relative manner) in this sense, that it is always possible to add thereto. But he who numbers does not create numbers; they were already determined, and they existed (before being conceived by him who was numbering them). As beings in the intelligible world are determined, their number is also determined by the quantity of beings. Just as we make man manifold by adding to him the beautiful, and other things of the kind, we can make an image of number correspond to the image of every intelligible being. Just as, in thought, we can multiply a town that does not exist, so can we multiply numbers. When we number the parts of time, we limit ourselves to applying to them the numbers that we have in ourselves, and which, merely on that account, do not cease remaining in us. HOW THE INFINITE REACHED EXISTENCE. 3. How did the infinite, in spite of its infiniteness, reach existence? For the things which have arrived at existence, and which subsist, have been preparatorily contained in a number. Before answering this question, we must examine whether, when it forms part of veritable essences, multitude can be evil. On high, the manifoldness remains united, and is hindered from completely being manifoldness, because it is the one essence; but this is inferior to unity by this very condition that it is manifoldness, and thus, is imperfect in respect to unity. Therefore, though not having the same nature as the One, but a nature somewhat degraded (in comparison with unity), manifoldness is inferior to unity; but, by the effect of the unity which it derives from the One (since it is the one essence), it still possesses a venerable character, reduces to unity the manifold it contains, and makes it subsist in an immutable manner. HOW INFINITY CAN SUBSIST IN THE INTELLIGIBLE WORLD.