Imagination has rightly been recognised as an essential element of genius; it has sometimes even been regarded as identical with it; but this is a mistake. As the objects of genius are the eternal Ideas, the permanent, essential forms of the world and all its phenomena, and as the knowledge of the Idea is necessarily knowledge through perception, is not abstract, the knowledge of the genius would be limited to the Ideas of the objects actually present to his person, and dependent upon the chain of circumstances that brought these objects to him, if his imagination did not extend his horizon far beyond the limits of his actual personal existence, and thus enable him to construct the whole out of the little that comes into his own actual apperception, and so to let almost all possible scenes of life pass before him in his own consciousness. Further, the actual objects are almost always very imperfect copies of the Ideas expressed in them; therefore the man of genius requires imagination in order to see in things, not that which Nature has actually made, but that which she endeavoured to make, yet could not because of that conflict of her forms among themselves which we referred to in the last book. We shall return to this farther on in treating of sculpture. The imagination then extends the intellectual horizon of the man of genius beyond the objects which actually present themselves to him, both as regards quality and quantity. Therefore extraordinary strength of imagination accompanies, and is indeed a necessary condition of genius. But the converse does not hold, for strength of imagination does not indicate genius; on the contrary, men who have no touch of genius may have much imagination. For as it is possible to consider a real object in two opposite ways, purely objectively, the way of genius grasping its Idea, or in the common way, merely in the relations in which it stands to other objects and to one's own will, in accordance with the principle of sufficient reason, it is also possible to perceive an imaginary object in both of these ways. Regarded in the first way, it is a means to the knowledge of the Idea, the communication of which is the work of art; in the second case, the imaginary object is used to build castles in the air congenial to egotism and the individual humour, and which for the moment delude and gratify; thus only the relations of the phantasies so linked together are known. The man who indulges in such an amusement is a dreamer; he will easily mingle those fancies that delight his solitude with reality, and so unfit himself for real life: perhaps he will write them down, and then we shall have the ordinary novel of every description, which entertains those who are like him and the public at large, for the readers imagine themselves in the place of the hero, and then find the story very agreeable.
The common mortal, that manufacture of Nature which she produces by the thousand every day, is, as we have said, not capable, at least not continuously so, of observation that in every sense is wholly disinterested, as sensuous contemplation, strictly so called, is. He can turn his attention to things only so far as they have some relation to his will, however indirect it may be. Since in this respect, which never demands anything but the knowledge of relations, the abstract conception of the thing is sufficient, and for the most part even better adapted for use; the ordinary man does not linger long over the mere perception, does not fix his attention long on one object, but in all that is presented to him hastily seeks merely the concept under which it is to be brought, as the lazy man seeks a chair, and then it interests him no further. This is why he is so soon done with everything, with works of art, objects of natural beauty, and indeed everywhere with the truly significant contemplation of all the scenes of life. He does not linger; only seeks to know his own way in life, together with all that might at any time become his way. Thus he makes topographical notes in the widest sense; over the consideration of life itself as such he wastes no time. The man of genius, on the other hand, whose excessive power of knowledge frees it at times from the service of will, dwells on the consideration of life itself, strives to comprehend the Idea of each thing, not its relations to other things; and in doing this he often forgets to consider his own path in life, and therefore for the most part pursues it awkwardly enough. While to the ordinary man his faculty of knowledge is a lamp to lighten his path, to the man of genius it is the sun which reveals the world. This great diversity in their way of looking at life soon becomes visible in the outward appearance both of the man of genius and of the ordinary mortal. The man in whom genius lives and works is easily distinguished by his glance, which is both keen and steady, and bears the stamp of perception, of contemplation. This is easily seen from the likenesses of the few men of genius whom Nature has produced here and there among countless millions. On the other hand, in the case of an ordinary man, the true object of his contemplation, what he is prying into, can be easily seen from his glance, if indeed it is not quite stupid and vacant, as is generally the case. Therefore the expression of genius in a face consists in this, that in it a decided predominance of knowledge over will is visible, and consequently there also shows itself in it a knowledge that is entirely devoid of relation to will, i.e., pure knowing. On the contrary, in ordinary countenances there is a predominant expression of will; and we see that knowledge only comes into activity under the impulse of will, and thus is directed merely by motives.
Since the knowledge that pertains to genius, or the knowledge of Ideas, is that knowledge which does not follow the principle of sufficient reason, so, on the other hand, the knowledge which does follow that principle is that which gives us prudence and rationality in life, and which creates the sciences. Thus men of genius are affected with the deficiencies entailed in the neglect of this latter kind of knowledge. Yet what I say in this regard is subject to the limitation that it only concerns them in so far as and while they are actually engaged in that kind of knowledge which is peculiar to genius; and this is by no means at every moment of their lives, for the great though spontaneous exertion which is demanded for the comprehension of Ideas free from will must necessarily relax, and there are long intervals during which men of genius are placed in very much the same position as ordinary mortals, both as regards advantages and deficiencies. On this account the action of genius has always been regarded as an inspiration, as indeed the name indicates, as the action of a superhuman being distinct from the individual himself, and which takes possession of him only periodically. The disinclination of men of genius to direct their attention to the content of the principle of sufficient reason will first show itself, with regard to the ground of being, as dislike of mathematics; for its procedure is based upon the most universal forms of the phenomenon space and time, which are themselves merely modes of the principle of sufficient reason, and is consequently precisely the opposite of that method of thought which seeks merely the content of the phenomenon, the Idea which expresses itself in it apart from all relations. The logical method of mathematics is also antagonistic to genius, for it does not satisfy but obstructs true insight, and presents merely a chain of conclusions in accordance with the principle of the ground of knowing. The mental faculty upon which it makes the greatest claim is memory, for it is necessary to recollect all the earlier propositions which are referred to. Experience has also proved that men of great artistic genius have no faculty for mathematics; no man was ever very distinguished for both. Alfieri relates that he was never able to understand the fourth proposition of Euclid. Goethe was constantly reproached with his want of mathematical knowledge by the ignorant opponents of his theory of colours. Here certainly, where it was not a question of calculation and measurement upon hypothetical data, but of direct knowledge by the understanding of causes and effects, this reproach was so utterly absurd and inappropriate, that by making it they have exposed their entire want of judgment, just as much as by the rest of their ridiculous arguments. The fact that up to the present day, nearly half a century after the appearance of Goethe's theory of colours, even in Germany the Newtonian fallacies still have undisturbed possession of the professorial chair, and men continue to speak quite seriously of the seven homogeneous rays of light and their different refrangibility, will some day be numbered among the great intellectual peculiarities of men generally, and especially of Germans. From the same cause as we have referred to above, may be explained the equally well-known fact that,