Passing by many other such like things, said I, I will produce only Plato; who says, that there is but one world, but that if this were not alone, so that there were others besides it, they would be in all five and no more. For indeed, though there is but this one only world, as Aristotle is also of opinion, yet this world is in some sort composed and assembled of five, of which one indeed is of earth, another of water, the third of fire, the fourth of air, and the fifth, being heaven, some call light and others the sky; and some also name this same the fifth essence, which alone of all, bodies is naturally carried about in a circle, and not of necessity or otherwise by accident. Wherefore Plato, knowing that, of the figures which are in Nature, there are five most excellent and perfect,—to wit, the pyramid, the cube, the octahedron, the icosahedron, and the dodecahedron,—has fitly accommodated each of them to each of these worlds or bodies. There are some also who apply the faculties of the senses, being equal in number, to these five first bodies, seeing the touch to be firm and earthly, and the taste to perceive the qualities of savors by moisture. Now the air being struck upon is a voice and sound to the ear; and as for the other two,—the scent, which the smell has obtained for its object, being an exhalation and engendered by heat, is fiery; and the sight, which shines by reason of its affinity to the sky and light, has from them a temperature and complexion equally mingled of both. Now neither has any animal any other sense, nor the world any other nature simple and unmixed; but there has been made, as appears, a certain wonderful distribution and congruity of five to five. Having here stopped a little, and made a small pause between, I said: What a fault, O Eustrophus, were we like to have committed, having almost passed by Homer, as if he were not the first that distributed the world into five parts, who assigned the three which are in the midst to three Gods, and left the two extremes, Olympus and the Earth—of which one is the limit of things above, the other of things below—common and undistributed. See Il . XV. 189. But we must, as Euripides says, return to our discourse. For those who magnify the quaternary, or number of four, teach not amiss, that every solid body had its generation by reason of this. For since every solid consists in length and breadth, having withal a depth; and since before length there is extant a point, answerable to unity, and length without breadth is called a line and consists of two; and the motion of a line towards breadth exhibits also the procreation of a superficies in the number three; and the argumentation of this, when depth is added to it, goes on to a solid in the number four; it is manifest to every one, that the quaternary, having carried on Nature hitherto, and even to the perfecting of a body and the exhibiting it tangible, massy, and solid, has yet at last left it wanting the greatest accomplishment. For that which is inanimate is, to speak sincerely, orphan-like, imperfect, and fit for nothing at all, unless there is some soul to use it; but the motion or disposition introducing a soul, being a change made by the number five, adds the consummation to Nature, and has a reason so much more excellent than the quaternary, as an animal differs in dignity from that which is inanimate. Moreover, the symmetry and power of this number five, having obtained greater force, has not permitted the animate body to proceed to infinite sorts, but has exhibited five species of all things that have life. For there are Gods, Genii, and heroes, and then after them the fourth sort is men, and the fifth and last the irrational and brutish animal. Furthermore, if you divide the soul itself according to its nature, its first and most obscure part or faculty is the vegetative, the second the sensitive, then the concupiscible, after that the irascible; and having brought on and perfected Nature in the faculty of the rational, it rests in this fifth, as in the top of all. Now the generation of this number, which has so many and so great faculties, is also beautiful,—not that which we have already discoursed of, from two and three, but that which the first principle joined with the first square has exhibited. For the principle of all number is unity, and the first square is the quaternary; now the quinary is composed of these, as of form and of matter which has attained to perfection. And if it is right, which some hold, that unity is also square, as being the power of itself and terminating in itself; the quinary, being made of the first two squares, could not have a more noble original. But as for its greatest excellency, I fear, lest being spoken it should press our Plato as much as he himself said Anaxagoras was pressed by the name of the moon, when he made a certain opinion concerning her illuminations, which was very ancient, to be an invention of his own. For has he not said this in his dialogue entitled Cratylus? See Cratyl. p. 403 A. Yes indeed, answered Eustrophus; but I see not any thing that has fallen out like it. And yet you know, that in the Sophister See Sophist. p. 254 D. he demonstrates five principal beginnings, to wit, that which is, or Ens ( τὸ ὄν ), the Same, the Different, adding to these, for a fourth and fifth, Motion, and Rest. Again, in his dialogue called Philebus, See Phileb. p. 23 C-E. using another manner of division, he says, that there is one thing Infinite, and another the End; and that all generation consists of these two mixed together. Then he puts the cause by which they are mixed for the fourth kind; and has left us to conjecture the fifth, by which the things that were mixed have again a division and dissipation. Now I am of opinion that these last are delivered as the images or representations of those before,—to wit, the things engendered of Ens, the Infinite of Motion, the End of Rest, the Mixing Principle of the Same, and the Separating Principle of the Different. But if these are different from those, yet both that way and this way these principles are still distinguished into five kinds and differences. Now some one, said he, being persuaded of these things and seeing them before Plato, consecrated to the God two E E, for a mark and symbol of the number of all things. And having perhaps further understood that good also appears in five kinds, of which the first is the mean, the second the commensurate, the third understanding, the fourth the sciences, arts, and true opinions in the soul, and the fifth a certain pleasure, pure and unmixed with sorrow; he stops there, subjoining that of Orpheus: In the sixth age stay your desire of singing.