For the present, at least, said I, I have nothing more plausible to offer; but perhaps it is better to submit to examination on views of one’s own rather than on another’s. I repeat, therefore, what I said at the beginning, that if two natures be postulated, one evident to the senses, subject to change in creation and dissolution, carried now here now there, while the other is essentially conceptual and always remains the same, it is a dreadful thing that, while the conceptual nature has been parcelled out and has variety within itself, we should feel indignant and annoyed if anyone does not leave the corporeal and passive nature as a unity knit together and converging upon itself, but separates and parts it. For it is surely fitting that things permanent and divine should hold more closely together and escape, so far as may be, all segmentation and separation. But even on these the power of Differentiation has laid its hand and has wrought in things conceptual dissimilarities in reasons and ideas, which are vaster than the separations in location. Wherefore Plato, Plato, Sophist , 256 c; Cf. also Moralia , 391 b, supra . opposing those who declare for the unity of the whole, says that these five things exist: Being, Identity, Differentiation, and, to crown all, Movement and Rest. Granted, then, that these five exist, it is not surprising if each of these five corporeal elements has been made into a copy and image of each of them respectively, not unmixed and unalloyed, but it is because of the fact that each of them participates most in its corresponding faculty. The cube is patently a body related to rest because of the security and stability of its plane surfaces. In the pyramid everybody may note its fiery and restless quality in the simplicity of its sides and the acuteness of its angles. The nature of the dodecahedron, which is comprehensive enough to include the other figures, may well seem to be a model with reference to all corporeal being. Of the remaining two, the icosahedron shares in the nature of Differentiation mostly, and the octahedron in that of Identity. For this reason the octahedron contributed air, which in a single form holds all being in its embrace, and the icosahedron water, which by admixture assumes the greatest variety of qualities. If, therefore, Nature demands an equal distribution in all things, there is a reasonable probability that the wrorlds which have been created are neither more nor less in number than the patterns, so that each pattern in each world may have the leading rank and power just as it has acquired it in the construction of the primary bodies. However, let this be a comfort for him that wonders because we divide Nature into so many classes in its generation and transmutation. But here is another matter Cf. 387 f ff., supra . which I ask you all to consider, and to give your undivided attention to it: of those numbers which come at the very first (I mean the number one and the indeterminate duality), the second, being the element underlying all formlessness and disarrangement, has been called infinity; but the nature of the number one limits and arrests what is void and irrational and indeterminate in infinity, gives it shape, and renders it in some way tolerant and receptive of definition, which is the next step after demonstration regarding things perceptible. Now these first principles make their appearance at the beginning in connexion with number; rather, however, larger amounts are not number at all unless the number one, created from the illimitability of infinity, like a form of matter, cuts off more on one side and less on the other. Then, in fact, any of the larger amounts becomes number through being delimited by the number one. But if the number one be done away with, once more the indeterminate duality throws all into confusion, and makes it to be without rhythm, bounds, or measure. Inasmuch as form is not the doing away with matter, but a shaping and ordering of the underlying matter, it needs must be that both these first principles be existent in number, and from this has arisen the first and greatest divergence and dissimilarity. For the indeterminate first principle is the creator of the even, and the better one of the odd. Two is the first of the even numbers and three the first of the odd; from the two combined comes five, Cf. 388 a, supra . which in its composition is common to both numbers and in its potentiality is odd. For when the perceptible and corporeal was divided into several parts because of the innate necessity of differentiation, that number had to be neither the first even nor the first odd, but the third number, which is formed from these two, so that it might be produced from both the primary principles, that which created the even and that which created the odd, because it was not possible for the one to be divorced from the other; for each possesses the nature and the potentiality of a first principle. So when the twro were paired, the better one prevailed over the indeterminate as it was dividing the corporeal and checked it; and when matter was being distributed to the two, it set unity in the middle and did not allow the whole to be divided into two parts, but there has been created a number of worlds by differentiation of the indeterminate and by its being carried in varying directions; yet the power of Identity and Limitation has had the effect of making that number odd, but the kind of odd that did not permit Nature to progress beyond what is best. If the number one were unalloyed and pure, matter would not have any separation at all; but since it has been combined with the dividing power of duality, it has had to submit to being cut up and divided, but there it stopped, the even being overpowered by the odd.