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I do not wish to speak as yet of the ground of this satisfaction, which is bound up with a representation from which we should least of all expect it, viz. a representation which lets us remark its inadequacy and consequently its subjective want of purposiveness for the Judgement in the estimation of magnitude. I only remark that if the aesthetical113 judgement is pure (i.e. mingled with no teleological judgement or judgement of Reason) and is to be given as a completely suitable example of the Critique of the aesthetical Judgement, we must not exhibit the sublime in products of art (e.g. buildings, pillars, etc.) where human purpose determines the form as well as the size; nor yet in things of nature the concepts of which bring with them a definite purpose (e.g. animals with a known natural destination); but in rude nature (and in this only in so far as it does not bring with it any charm or emotion produced by actual danger) merely as containing magnitude. For in this kind of representation nature contains nothing monstrous (either magnificent or horrible); the magnitude that is apprehended may be increased as much as you wish provided it can be comprehended in a whole by the Imagination. An object is monstrous if by its size it destroys the purpose which constitutes the concept of it. But the mere presentation of a concept is called colossal, which is almost too great for any presentation (bordering on the relatively monstrous); because the purpose of the presentation of a concept is made harder [to realise] by the intuition of the object being almost too great for our faculty of apprehension.—A pure judgement upon the sublime must, however, have no purpose of the Object as its determining ground, if it is to be aesthetical and not mixed up with any judgement of Understanding or Reason.

Because everything which is to give disinterested pleasure to the merely reflective Judgement must bring with the representation of it, subjective and, as subjective, universally valid purposiveness—114although no purposiveness of the form of the object lies (as in the case of the Beautiful) at the ground of the judgement—the question arises "what is this subjective purposiveness?" And how does it come to be prescribed as the norm by which a ground for universally valid satisfaction is supplied in the mere estimation of magnitude, even in that which is forced up to the point where our faculty of Imagination is inadequate for the presentation of the concept of magnitude?

In the process of combination requisite for the estimation of magnitude, the Imagination proceeds of itself to infinity without anything hindering it; but the Understanding guides it by means of concepts of number, for which the Imagination must furnish the schema. And in this procedure, as belonging to the logical estimation of magnitude, there is indeed something objectively purposive,—in accordance with the concept of a purpose (as all measurement is),—but nothing purposive and pleasing for the aesthetical Judgement. There is also in this designed purposiveness nothing which would force us to push the magnitude of the measure, and consequently the comprehension of the manifold in an intuition, to the bounds of the faculty of Imagination, or as far as ever this can reach in its presentations. For in the estimation of magnitude by the Understanding (Arithmetic) we only go to a certain point whether we push the comprehension of the units up to the number 10 (as in the decimal scale) or only up to 4 (as in the quaternary scale); the further production of magnitude proceeds by combination or, if the quantum is given in intuition, by apprehension, but merely by way of progression (not of comprehension) in accordance with an assumed115 principle of progression. In this mathematical estimation of magnitude the Understanding is equally served and contented whether the Imagination chooses for unit a magnitude that we can take in in a glance, e.g. a foot or rod, or a German mile or even the earth's diameter,—of which the apprehension is indeed possible, but not the comprehension in an intuition of the Imagination (not possible by comprehensio aesthetica, although quite possible by comprehensio logica in a concept of number). In both cases the logical estimation of magnitude goes on without hindrance to infinity.

But now the mind listens to the voice of Reason which, for every given magnitude,—even for those that can never be entirely apprehended, although (in sensible representation) they are judged as entirely given,—requires totality. Reason consequently desires comprehension in one intuition, and so the presentation of all these members of a progressively increasing series. It does not even exempt the infinite (space and past time) from this requirement; it rather renders it unavoidable to think the infinite (in the judgement of common Reason) as entirely given (according to its totality).

But the infinite is absolutely (not merely comparatively) great. Compared with it everything else (of the same kind of magnitudes) is small. And what is most important is that to be able only to think it as a whole indicates a faculty of mind which surpasses every standard of Sense. For [to represent it sensibly] would require a comprehension having for unit a standard bearing a definite relation, expressible in numbers, to the infinite; which is impossible. Nevertheless, the bare capability of thinking this infinite without contradiction requires116 in the human mind a faculty itself supersensible. For it is only by means of this faculty and its Idea of a noumenon,—which admits of no intuition, but which yet serves as the substrate for the intuition of the world, as a mere phenomenon,—that the infinite of the world of sense, in the pure intellectual estimation of magnitude, can be completely comprehended under a concept, although in the mathematical estimation of magnitude by means of concepts of number it can never be completely thought. The faculty of being able to think the infinite of supersensible intuition as given (in its intelligible substrate), surpasses every standard of sensibility, and is great beyond all comparison even with the faculty of mathematical estimation; not of course in a theoretical point of view and on behalf of the cognitive faculty, but as an extension of the mind which feels itself able in another (practical) point of view to go beyond the limit of sensibility.

Nature is therefore sublime in those of its phenomena, whose intuition brings with it the Idea of their infinity. This last can only come by the inadequacy of the greatest effort of our Imagination to estimate the magnitude of an object. But now in mathematical estimation of magnitude the Imagination is equal to providing a sufficient measure for every object; because the numerical concepts of the Understanding, by means of progression, can make any measure adequate to any given magnitude. Therefore it must be the aesthetical estimation of magnitude in which it is felt that the effort towards comprehension surpasses the power of the Imagination to grasp in a whole of intuition the progressive apprehension; and at the same time is perceived the inadequacy of this faculty,117 unbounded in its progress, for grasping and using, for the estimation of magnitude, a fundamental measure which could be made available by the Understanding with little trouble. Now the proper unchangeable fundamental measure of nature is its absolute whole; which, regarding nature as a phenomenon, would be infinity comprehended. But since this fundamental measure is a self-contradictory concept (on account of the impossibility of the absolute totality of an endless progress), that magnitude of a natural Object, on which the Imagination fruitlessly spends its whole faculty of comprehension, must carry our concept of nature to a supersensible substrate (which lies at its basis and also at the basis of our faculty of thought). As this, however, is great beyond all standards of sense, it makes us judge as sublime, not so much the object, as our own state of mind in the estimation of it.