15. Let us further examine if the indeterminate, or infinite, be an accident, or an attribute of some other nature; how it comes to be an accident, and whether privation ever can become an accident. The things that are numbers and reasons are exempt from all indetermination, because they are determinations, orders, and principles of order for the rest. Now these principles do not order objects already ordered, nor do they order orders. The thing that receives an order is different from that which gives an order, and the principles from which the order is derived are determination, limitation and reason. In this case, that which receives the order and the determination must necessarily be the infinite (as thought Plato).[310] Now that which receives the order is matter, with all the things which, without being matter, participate therein, and play the part of matter. Therefore matter is the infinite itself.[311] Not accidentally is it the infinite; for the infinite is no accident. Indeed, every accident must be a reason; now of what being can the infinite be an accident? Of determination, or of that which is determined? Now matter is neither of these two. Further, the infinite could not unite with the determinate without destroying its nature. The infinite, therefore, is no accident of matter (but is its nature, or "being"). Matter is the infinite itself. Even in the intelligible world, matter is the infinite. THE INFINITE MAY BE EITHER IDEAL OR REAL, INFINITE OR INDEFINITE. The infinite seems born of the infinity of the One, either of its power, or eternity; there is no infinity in the One, but the One is creator of the infinite. How can there be infinity simultaneously above and below (in the One and in matter)? Because there are two infinities (the infinite and the indefinite; the infinite in the One, the indefinite in matter). Between them obtains the same difference as the archetype and its image.[312] Is the infinite here below less infinite? On the contrary, it is more so. By the mere fact that the image is far from veritable "being," it is more infinite. Infinity is greater in that which is less determinate (as thought Aristotle).[313] Now that which is more distant from good is further in evil. Therefore the infinite on high, possessing the more essence, is the ideal infinite; here below, as the infinite possesses less essence, because it is far from essence and truth, it degenerates into the image of essence, and is the truer (indefinite) infinite. MATTER AS THE INFINITE IN ITSELF.