Plato now first proceeds to the determination of the Idea of corporeal existence: “Because the world was to become corporeal, visible and tangible, and since without fire nothing can be seen, and without solidity, without earth, nothing can be touched, God in the beginning made fire and earth.” In this childlike way Plato introduces these extremes, solidity and life. “But two things cannot be united without a third, there must be a bond between them, uniting both”—one of Plato’s simple methods of expression. “The fairest bond, however, is that which most completely fuses itself and that which is bound by it.” That is a profound saying, in which the Notion is contained; the bond is the subjective and individual, the power which dominates the other, which makes itself identical with it. “Proportion” (ἀναλογία) is best adapted to effect such a fusion; that is, whenever of three numbers or magnitudes or powers, that which is the mean is to the last term what the first term is to the mean, and again when the mean is to the first term as the last term is to the mean (a : b = b : c) “then the mean having become the first and last, and the first and last both having become means, all things will necessarily come to be the same; but having come to be the same, everything will be one.”[48] This is excellent, we have still preserved this in our Philosophy; it is the distinction which is no distinction. This diremption from which Plato proceeds, is the conclusion which we know from logic; it appears in the form of the ordinary syllogism, in which, however, the whole rationality of the Idea is, at least externally, contained. The distinctions are the extremes, and the mean is the identity which in a supreme degree makes them one; the conclusion is thus speculative, and in the extremes unites itself with itself, because all the terms pass through all the different positions. It is hence a mistake to disparage the conclusion and not to recognize it as the highest and absolute form; in respect of the conclusions arrived at by the understanding, on the contrary, we should be right in rejecting it. This last has no such mean; each of the differences is there recognized as different in its own independent form, as having a character different from that of the other. This, in the Platonic philosophy, is abrogated, and the speculative element in it constitutes the proper and true form of conclusion, in which the extremes neither remain in independence as regards themselves, nor as regards the mean. In the conclusion of the understanding, on the contrary, the unity which is constituted is only the unity of essentially different contents which remain such; for here a subject, a determination, is, through the mean, simply bound up with another, or “some conception is joined to some other conception.” In a rational conclusion, however, the main point of its speculative content is the identity of the extremes which are joined