XIII. Here, I think, I paused, and after an interval I went on: ‘What has happened to us, Eustrophus? We have almost forgotten Homer,[66] as if he had not been the first to divide the universe into five parts, assigning the three in the middle to the three Gods, while he left common and unapportioned the two extremes, Olympus and earth, one the limit of what is below, the other of what is above. “We must cry back”, as Euripides says.[67] Now those who exalt the number four as the basis of the [Sidenote: D] genesis of every body, make out a fairly good case. For every solid body possesses length, breadth, and depth; but length presupposes a point as an unit; the line is called length without breadth, and is length; the movement of a line in breadth produces a plane surface, and that is three; add depth, and we get to a solid with four factors. Any one can see that the number four carries Nature up to this point, that is, to the formation of a complete body, which may be touched, weighed, or struck; there it has left her, wanting in what is greatest. [Sidenote: E] For that which has no soul is, in plain terms, orphaned and incomplete and fit for nothing, unless it be employed by soul. But the movement or disposition which sets soul therein—a change introducing a fifth factor—restores to Nature her completeness, its rational basis is as much more commanding than that of the Tetrad as the animal is above the inanimate. Further, the symmetry and potency of the whole five prevails, so as not to allow the animate to form classes without limit, but gives five types for all living things. There are Gods, we know, and [Sidenote: F] daemons, and heroes, and after these, fourth in all, the race of men: fifth, and last, the irrational order of brutes. Again, if you make a natural division of the soul itself, the first and least distinct principle is that of growth; second is that of sense, then comes appetite, then the spirited part; when it has reached the power of reasoning and perfected its nature, it stays at rest in the fifth stage as its upper limit. XIV. ‘Now as this number five has powers so many and so great, its origin is also noble: not the process already described, out of the numbers two and three, but that given by the combination of the first principle of number with the first square. The first principle is unity, the first square is four; from these [Sidenote: 391] as from idea and limited substance, comes five. Or, if it be really correct, as some hold, to reckon unity as a square, being a power of itself and working out to itself, then the Pempad is formed out of the first two squares, and so has not missed noble birth and that the highest.