(γ) Finally, in the living organism of animals a difference is asserted in the reduplicated structure of the members. In the bodies of animals, more particularly if we examine the higher species, the organism is a more inward, self-contained and self-determined totality; like a sphere, it returns, so to speak, on itself, while still remaining an external organism. It is an external process, and yet, as a process, asserted against externality. The more important organs are those within, such as heart, lungs, and liver, and in these the life is bound up. Such are not determined under the simple characteristics of uniformity. In those members, however, even of the animal organism, which are fixed in direct relation to the outside world, symmetrical arrangement prevails. Among such must be reckoned the members and organs which assert the subjective principle externally no less than those which are the instruments of the active life. The sense-organs, such as sight and hearing, belong to the former; all that we see and hear is left as we found it. The organs of smell and taste already mark the point of union with an activity exercised externally. We only smell that which is already assimilated246 by the organ of sense, and we only exercise our taste through an act of destruction. We have, it is true, but one nose, but it is subdivided into two sections, each of which is uniform in structure. The same description is applicable to the lips and teeth and other organs like them. Further than this the eyes and ears, and the limbs employed in motion from place to place, or for direct control over external objects, in other words, legs and arms, are entirely uniform in position, form, and other qualities. We find, therefore, that in the organic world no less than in the inorganic uniformity asserts a very real predominance, qualified, however, by the fact that its presence is limited to those members which are the instruments of the organism in its direct relation to the external world. On those through which the life-process returns on itself by virtue of its own subjective principle there is no such impression of uniformity.
Such, then, are the leading characteristics of the forms of uniformity and symmetry, and the manner in which they are asserted in the configuration of natural phenomena.
(b) Conformity to Rule
We now propose to distinguish the more generic conception of conformity to law247, so far as it appears on a higher plane of organic evolution than that already adverted to, and marks the passage of the same to the freedom of natural no less than spiritual life, from the more abstract forms discussed above. Taken by itself, no doubt, conformity to rule is not alone sufficient to give us the subjective unity and freedom of totality; but we do find in the configuration to which it corresponds a totality of essentially distinguished characteristics, such as do not merely emerge in difference and opposition, but betray both unity and determinate connection in such totality. A unity thus controlled, albeit still only positively asserted in quantitative substance, is no longer referable to essentially exterior distinctions of mere size numerically ascertainable, but already introduces to our notice a qualitative relation of consistency between these contrasted determinations. In other words we have here neither the abstract repetition of one and the same determinant248, nor a uniform interchange of similarity and dissimilarity249, but the contemporaneous association of aspects essentially distinct from one another. We find, in fact, our sense of sight gratified by the association of these distinguishing features in their completeness. And it is the principle of reason which affords us such satisfaction, gratifying our sense only through the totality, or rather through the very totality of differences the nature of the fact requires. Such a connection, however, still remains an unexplained nexus, which sense-perception arrives at partly on account of its persistent repetition, and in part through an intuition of deeper source.
A few examples will make clear the process of definition from uniformity to conformity with law. Parallel lines of equal length are abstractly uniform. A further step is taken when we compare geometrical figures of the same form, triangles, for example, but assume their size to be unequal. Here the angles subtended by the corners of each and the relation of line to line is the same, but we find such similarity in different quanta. Take again the circle, it does not possess the uniformity of the straight line, but at the same time the determination of abstract equality strictly applies to it, for all its radii are of equal length. The circle is consequently still but a curved line that awakes no particular interest250.
On the other hand, there is still less uniformity in the ellipse and the parabola, and they are only understood through the law of their form. In other words the radii vectores of the ellipse are both unequal and in conformity with rule, and the same qualification applies to the greater and lesser axis of their lines of differentiation251; moreover, their foci are not central as is the case with the circle. We find in these examples, therefore, a qualitative relation of difference assert itself in the law applicable to such lines and constructive of their interconnection. If, however, we divide the ellipse by means of its greater and lesser axes we obtain four equal sections; regarded as a whole, therefore, we still find the principle of uniformity paramount in this figure. Of a higher degree of freedom in its conformity to law is the oval. We know there is such a law, though mathematicians have been unable to express its formula. This figure is not an ellipse, but the higher curve differs from that below it. Still we find that even in this example of freer eccentricity in Nature, if we divide it through its greater axis, we have still two equal halves. The final expression of mere uniformity in conformity to law is shown in lines, which, as in the example of the oval, when divided through the smaller252 axis, give us unequal sections, neither section being a mere repetition of the other. The so-called undulatory line is an example of this, in the sense Hogarth describes it as the line of beauty. Thus the inclination of the arms as they fall on either side of the human body is opposed. Here we have conformity to rule without uniformity pure and simple. Such a kind of conformity especially characterises with its variety the conformation of the nobler living organisms.
Conformity to law is, then, an attribute of substantiality, binding together both its differences and its unity; but it remains still abstract on the side of its controlling form, unable to supply individuality with the freedom of motion, or rather by virtue of that form is entirely without the higher freedom of subjectivity, and quite incapable of revealing the vitality and ideality proper to it.
(c) Harmony
On a higher plane in the sphere of abstract beauty must be placed harmony. In harmony we find qualitative distinctions are held together, and further held together in a totality of differentiation, such as is based on the essential nature of the fact itself. This consistency of support is derived from conformity to