Plato continues: “Since what is solid requires two means, because it not only has breadth but also depth, God has placed air and water between fire and earth; and indeed He gave to them the same proportion, so that fire is related to air as air to water, and as air is to water, so is water to earth.”[49] Thus we have, properly speaking, four methods of representing space, inasmuch as the point is, through line and surface, closely bound up with the solid body. The sundered mean here discovered, again indicates an important thought of logical profundity; and the number four which here appears, is in nature a fundamental number. For as being the different which is turned towards the two extremes, the mean must be separated in itself. In the conclusion in which God is the One, the second (the mediating), the Son; the third, the Spirit; the mean indeed is simple. But the cause why that which in the rational conclusion is merely three-fold, passes in nature to the four-fold, rests in what is natural, because what in thought is immediately the one, becomes separate in Nature. But in order that in Nature the opposition should exist as opposition, it must itself be a twofold, and thus, when we count, we have four. This also takes place in the conception of God, for when we apply it to the world, we have nature as mean and the existent spirit as the way of return for nature: when the return is made, this is the absolute Spirit. This living process, this separation and unifying of differences, is the living God.
Plato says further: “Through this unity the visible and tangible world has been made. And it comes to pass by God’s having given to it these elements entire and unseparated, that it is perfect, and unaffected by age and disease. For old age and disease only arise from a body’s being worked upon by a superabundance of such elements from without. But here this is not so, for the world contains those elements entirely in itself, and nothing can come to it from without. The world is spherical in form,” (as it was to Parmenides and the Pythagoreans) “as being most perfect, and as containing all others in itself; it is perfectly smooth, since for it there is nothing outside, and it requires no limbs.” Finitude consists in this, that a distinction as regards something else is an externality to some other object. In the Idea we certainly have determination, limitation, difference, other-being, but it is at the same time dissolved, contained, gathered together, in the one. Thus it is a difference through which no finitude arises, seeing that it likewise is sublated. Finitude is thus in the infinite itself, and this is, indeed, a great thought. “God gave the world the most appropriate motion of all the seven, being that which harmonizes best with mind and consciousness, motion in a circle; the other six He took away from it and liberated it from their variations”[50] (movements backwards and forwards). This is only a popular way of putting it.
We read further: “Since God wished to make the world a God, He gave it soul, and this was placed in the centre and diffused through the whole, which was also surrounded by it externally; and in this way He brought to pass the self-sufficing existence which required no other, and which needed no other friendship or acquaintance than itself. Through these means God created the world as a blessed God.” We may say that here, where the world is a totality through the world-soul, we first have the knowledge of the Idea; for the first time this newly-begotten God, as the mean and identity, is the true absolute. That first God which was only goodness, is, on the contrary, a mere hypothesis, and hence neither determined nor self-determining. “Now though we have spoken of the soul last,” Plato goes on, “it does not for that reason come last; for this is merely our manner of speech. The soul is the ruler, the king, and the body is its subject.” It is only Plato’s naïvety which ascribes the reversal of the order of the two to a manner of speech. What here appears as contingent is really necessary—that is, to begin with the immediate and then come to the concrete. We must likewise adopt this method, but with the consciousness that when we begin with determinations such as Being, or God, Space, Time, &c., we speak of them in an immediate manner, and this content, in accordance with its nature, is at first immediate, and consequently undetermined in itself. God, for example, with whom we begin as an immediate, is proved only at the last, and then, indeed, as the true first. Thus we can, as already remarked, (p. 72) show Plato’s confusion of mind in such presentations; but it depends entirely on what Plato’s standard of truth is.
Plato further shows us the nature of the Idea in one of the most famous and profound of passages, where in the essence of the soul he recognizes again the very same idea that he also expressed as the essence of the corporeal. For he says: “The soul is created in the following way: Of the indivisible and unchangeable and also of the divisible which is corporeal, God made a third kind of intermediate essence, which partook of the nature of the same and of the nature of the other or diverse.” (The divisible is to Plato likewise the other as such, or in itself, and not of anything else.) “And God in like manner made the soul a sort of intermediate between the indivisible and the divisible.” Here the abstract determinations of the one which is identity, of the many or non-identical, which is opposition and difference, once more appear. If we say: “God, the Absolute, is the identity of the identical and non-identical,” a cry is raised of barbarism and scholasticism. Those who speak of it so still hold Plato in high esteem, and yet it was thus that he determined the truth. “And taking these three elements as separate, God mingled them all into one Idea, because he forcibly compressed the incongruous nature of the other into the same.”[51] This is undoubtedly the power of the Notion, which posits the many, the separate, as the ideal, and that is also the force applied to the understanding when anything is placed before it.
Plato now describes how the self-identical, as itself a moment, and the other or matter, and the third, the apparently dissoluble union which has not returned into the first unity—which three were originally separated—have now, in simple reflection into self and resumption of that beginning, been degraded into moments. “Mingling the identical and the other with the essence (οὐσία),” the third moment, “and making them all one, God again divided this whole into as many parts was as fitting.”[52] Since this substance of the soul is identical with that of the visible world, the one whole is for the first time the now systematized substance, the true matter, the absolute element which is internally divided, an enduring and unseparable unity of the one and many; and no other essence must be demanded. The manner and mode of the division of this subjectivity contain the famous Platonic numbers, which doubtless originally pertain to the Pythagoreans, and respecting which both ancients and moderns, and even Kepler himself in his Harmonia mundi, have taken much pains, but which no one has properly understood. To understand would mean two things, and in the first place, the recognition of their speculative significance, their Notion. But, as already remarked of the Pythagoreans (Vol. I. p. 224), these distinctions of number give only an indefinite conception of difference, and that only in the earlier numbers; where the relationships become more complicated, they are quite incapable of designating them more closely. In the second place, because of their being numbers, they express, as differences of magnitude, differences in what is sensuous only. The system of apparent magnitude—and it is in the heavenly system that magnitude appears most purely and freely, liberated from what is qualitative—must correspond to them. But these living number-spheres are themselves systems composed of many elements—both of the magnitude of distance and of velocity and mass. No one of these elements, taken as a succession of simple numbers, can be likened to the system of heavenly spheres, for the series corresponding to this system can, as to its members, contain nothing else than the system of all these moments. Now if the Platonic numbers were also the elements of each system such as this, it would not be only this element which would have to be taken into account, for the relationship of moments which become distinguished in movement has to be conceived of as a whole, and is the true object of interest and reason. What we have to do is to give briefly the main points as matter of history; we have the most thorough treatment of it given us by Böckh “On the Constitution of the World-Soul in the Timæus of Plato,” in the third volume of the Studies of Daub and Creuzer (p. 26 et seq.).
The fundamental series is very simple: “God first took one part out of the whole; then the second, the double of the first; the third is one and a half times as many as the second, or three times the first; the next is double the second; the fifth is three times the third; the sixth is eight times the first; the seventh is twenty-seven times greater than the first.” Hence the series is: 1; 2; 3; 4 = 2²; 9 = 3²; 8 = 2³; 27 = 3³. “Then God filled up the double and triple intervals” (the relations 1 : 2 and 1 : 3) “by again abstracting portions from the whole. These parts he placed in the intervals in such a way that in each interval there were two means, the one exceeding and exceeded by the extremes in the same ratio, the other being that kind of mean which by an equal number exceeds and is exceeded by the extremes.” That is, the first is a constant geometric relationship, and the other is an arithmetical. The first mean, brought about through the quadration, is thus in the relation 1 : 2, for example, the proportion 1 : √̅2 : 2; the other is in the same relation, the number 1½. Hereby new relations arise which are again in a specially given and more difficult method inserted into that first, but this is done in such a way that everywhere something has been left out, and the last relation of number to number is 256 : 243, or 28 : 35.
Much progress is not, however, made with these number-relations, for they do not present much to the speculative Notion. The relationships and laws of nature cannot be expressed by these barren numbers; they form an empirical relation which does not constitute the basis of the proportions of nature. Plato now says: “God divided this entire series lengthways into two parts which he set together crosswise like an X, and he bent their ends into a circular form and comprehended them in a uniform motion—forming an inner circle and an outer—and he called the motion of the outer circle the motion of the same, and that of the inner the motion of the diverse, giving supremacy to the former, and leaving it intact. But the inner motion he again split into seven orbits after the same relations; three of these he made to move with equal velocity, and four with unequal velocity to the three and to one another. This is the system of the soul within which all that is corporeal is formed; the soul is the centre, it penetrates the whole and envelopes it from without and moves in itself. Thus it has the divine beginning of a never-ceasing and rational life in itself.”[53] This is not quite devoid of confusion, and from it we can only grasp the general fact that as to Plato with the idea of the corporeal universe that of the soul enters in as the all-embracing and simple, to him the essence of the corporeal and of the soul is unity in difference. This double essence, posited in and for itself in difference, becomes systematized within the one in many moments, which are, however, movements; thus this reality and that essence both pertain to this whole in the antithesis of soul and body, and this again is one. Mind is what penetrates all, and to it the corporeal is opposed as truly as that it itself is mind.
This is a general description of the soul which is posited in the world and reigns over it; and in as far as the substantial, which is in matter, is similar to it, their inherent identity is asserted. The fact that in it the same moments which constitute its reality are contained, merely signifies that God, as absolute Substance, does not see anything other than Himself. Plato hence describes the relation of soul to objective reality thus: it, if it touches any of the moments, whether dispersed in parts or indivisible, is stirred in all its powers to declare the sameness and the difference of that or some other thing, and how, where, and when, the individual is related to the other and to the universal. “Now when the orbit of the sensuous, moving in its due course, imparts knowledge of itself to its whole soul” (where the different orbits of the world’s course show themselves to correspond with the inwardness of mind) “true opinions and beliefs arise. But when the soul applies itself to the rational and the orbit of the self-identical makes itself known, thought is perfected into knowledge.”[54] This is the essential reality of the world as of the inherently blessed God; here the Idea of the whole is for the first time perfected, and, in accordance with this Idea, the world first makes its appearance. What had hitherto appeared was the reality of the sensuous only and not the world as sensuous, for though Plato certainly spoke before of fire, &c. (p. 75), he there gave only the reality of the sensuous; he would hence have done better to have omitted these expressions. In them we have the reason for its appearing as if Plato had here begun to consider from the beginning that of which he has already treated (supra, p. 72). For since we must begin from the abstract in order to reach the true and the concrete, which first appears later on (supra, p. 79), this last, when it has been found, has the appearance and form of a new commencement, particularly in Plato’s loose style.
Plato now goes on further, for he calls this divine world the pattern which is in thought (νοητόν) alone, and always in self-identity; but he again places this whole in opposition to itself, so that there is a second, the copy of the first, the world, which has origination and is visible. This second is the system of the heavenly movement, the first is the eternally living. The second, which has origination and becoming within it, cannot be made perfectly like the first, the eternal Idea. But it is made a self-moving image of the eternal that remains in the unity; and this eternal image that moves rhythmically, after the manner of numbers, is what we call time. Plato says of it that we are in the habit of calling the ‘was’ and ‘will be’ parts of time, and we transfer these indications of change which operate in time, into absolute essence. But the true time is eternal, or the present. For the substance can neither become older nor younger, and time, as the immediate image of the eternal, has neither the future nor the present in its parts. Time is ideal, like space, not sensuous, but the immediate mode in which mind comes forth in objective form, the sensuous non-sensuous. The real moments of the principle of absolute movement in what is temporal, are those in which changes appear. “From the mind and will of God in the creation of time, there arose the sun, moon, and five other stars which are called the planets, and which serve to distinguish and preserve the relations of time.”[55] For in them the numbers of time are realized. Thus the heavenly movement, as the true time, is the image of the eternal which yet remains in unity, i.e. it is that in which the eternal retains the determination of the ‘same.’ For everything is in time, that is, in negative unity which does not allow anything to root itself freely in itself, and thus to move and to be moved according to chance.