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aspects which we are compelled to consider separately. By virtue of this fact, which we may either regard as a division of the material of sense or as a review of certain facts taken in abstraction, the inward unity, which is one aspect of the external reality, itself falls outside it; that is to say, it is not itself asserted in that rational reality as the wholly immanent form of the entire notion which constitutes it, but rather as an Ideality and determinacy imposed externally.

      Such are the points of view thus presented us which we will now consider more closely.

      First, then, we have to discuss

      1. THE BEAUTY OF ABSTRACT FORM

      (a) Uniformity

      Uniformity is, speaking generally, equality in external presentment, or, more specifically, the unbroken repetition of one and the same definite form, supplied by the determining unity to the form of objects. Such a unity, in virtue of its initial abstraction, is at the furthest extreme removed from the rational totality of the concrete notion. Its beauty is therefore a beauty which is referable to the faculty of the analytical understanding. The fundamental process of that faculty is to perceive objects in their abstraction, not in their self-determined completeness and identity. For example, among all lines the straight line is that which is most uniform, because it alone manifests one abstract and undeviating direction. For the same reason the cube is a figure dominated by regularity of content. All its sides are of the same size, the same length of line and the same angles, which, on account of their being rectangular, however much their size is changed, manifest no change in the form of their angles as is the case with angles which are obtuse or acute.

      With this characteristic of uniformity we must closely connect that of symmetry. Form is unable long to rest in that barest abstraction of its determination, namely, undifferentiated equality. A diverse relation is sure to assert itself, breaking into the empty form of identity. In this way we obtain symmetry, which consists in no mere identical repetition of one form, but in a combination with some such form analogous to it, identical, that is to say, in its self-determination, and yet manifesting a distinct contrast with it. Through such a combination we obtain another kind of equality and unity, whose determination is more extensive and more varied. If, for example, on one side of a house we meet with three windows of the same size separated at equal intervals of distance, then three or four more of loftier size than the first-mentioned standing at more extended or closer intervals in relation to them, and again three more precisely similar in size and distance to our original ones, we have then before us a symmetrical arrangement. Mere uniformity and repetition of the same distinctions will never produce this result. We may find such distinguishing features in size, position, form, colour, tones, and many others like them, which, however, to produce symmetry must be harmoniously related to similar forms of construction. When we find a combination which presents to us an arrangement of such distinguishing characteristics according to some clearly uniform principle that then is symmetry.

      (α) Reviewing, then, shortly the prominent classifications of natural objects, we observe, in the first place, that minerals, taking the crystal for an example, as structures destitute of the principle of life, are characterized in their fundamental form by uniformity and symmetry. As already remarked, their form, it is true, is one appropriate to themselves, is not merely the determination of external forces. Through an unseen energy the form that makes them what they are as products of Nature creates their configuration both within and without. This activity, however, is not yet the completed energy of the concrete notion as an ideal principle, which directs the independent consistency of the positive reality, subsuming them under an ideal totality such as is present in animal life. The unity and definition of their form persists in purely abstract one-sidedness, and we have as the characteristics of a unity which is wholly on the outside the bare forms of uniformity and symmetry, the determinating factor in each case being an abstraction.

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