NUMBER AND DIMENSION DIFFER SO MUCH AS TO SUGGEST DIFFERENT CLASSIFICATION.
It is evident that quantity informs us of the amount of a thing, and permits us to measure this; therefore itself must be an amount. This then is the element common to number (the discrete quantity), and to continuous dimension. But number is anterior, and continuous dimension proceeds therefrom; number consists in a certain blending of movement and stability; continuous dimension is a certain movement or proceeds from some movement; movement produces it in its progress towards infinity, but stability arrests it in its progress, limits it, and creates unity. Besides, we shall in the following explain the generation of number and dimension; and, what is more, their mode of existence, and how to conceive of it rightly. It is possible that we might find that number should be posited among the primary genera, but that, because of its composite nature, continuous dimension should be posited among the posterior or later genera; that number is to be posited among stable things, while dimension belongs among those in movement. But, as said above, all this will be treated of later.