The World as Will and Idea (Vol. 2 of 3)

For it consists simply in subsuming conceptions under conceptions, without reference to their origin, and without proof of the correctness and exclusiveness [pg 264] of such subsumption—a method whereby we can arrive by longer or shorter circuits at almost any result we choose to set before us as our goal. Hence this mere abstract reasoning differs only in degree from sophistication strictly so called. But sophistication is in the theoretical sphere exactly what chicanery is in the practical. Yet even Plato himself has very frequently permitted such mere abstract reasoning; and Proclus, as we have already mentioned, has, after the manner of all imitators, carried this fault of his model much further. Dionysius the Areopagite, “De Divinis Nominibus,” is also strongly affected with this. But even in the fragments of the Eleatic Melissus we already find distinct examples of such mere abstract reasoning (especially § 2-5 in Brandis' Comment. Eleat.) His procedure with the conceptions, which never touch the reality from which they have their content, but, moving in the atmosphere of abstract universality, pass away beyond it, resembles blows which never hit the mark. A good pattern of such mere abstract reasoning is the “De Diis et Mundo” of the philosopher Sallustius Büchelchen; especially chaps. 7, 12, and 17. But a perfect gem of philosophical mere abstract reasoning passing into decided sophistication is the following reasoning of the Platonist, Maximus of Tyre, which I shall quote, as it is short: “Every injustice is the taking away of a good.

There is no other good than virtue: but virtue cannot be taken away: thus it is not possible that the virtuous can suffer injustice from the wicked. It now remains either that no injustice can be suffered, or that it is suffered by the wicked from the wicked. But the wicked man possesses no good at all, for only virtue is a good; therefore none can be taken from him. Thus he also can suffer no injustice. Thus injustice is an impossible thing.” The original, which is less concise through repetitions, runs thus: “Αδικια εστι αφαιρεσις αγαθου; το δε αγαθον τι αν ειη αλλο η αρετη?—ἡ δε αρετη αναφαιρετον. Ουκ αδικησεται τοινυν ὁ την αρετην εχων, η ουκ εστιν αδικια αφαιρεσις [pg 265] αγαθου; ουδεν γαρ αγαθον αφαιρετον, ουδ᾽ χαποβλητον, ουδ ἑλετον, ουδε ληιστον. Ειεν ουν, ουδ᾽ αδικειται ὁ χρηστος, ουδ ὑπο του μοχθηρου; αναφαιρετος γαρ. Λειπεται τοινυν η μηδενα αδικεισθαι καθαπαξ, η τον μοχθηρον ὑπο του ὁμοιου; αλλα τῳ μοχθηρῳ ουδενος μετεστιν αγαθου; ἡ δε αδικια ην αγαθου αφαιρεσις; ὁ δε μη εχων ὁ, τι αφαιρεσθη, ουδε εις ὁ, τι αδικησθη, εχει” (Sermo 2). I shall add further a modern example of such proofs from abstract conceptions, by means of which an obviously absurd proposition is set up as the truth, and I shall take it from the works of a great man, Giordano Bruno. In his book, “Del Infinito Universo e Mondi” (p. 87 of the edition of A. Wagner), he makes an Aristotelian prove (with the assistance and exaggeration of the passage of Aristotle's De Cœlo, i. 5) that there can be no space beyond the world.

The world is enclosed by the eight spheres of Aristotle, and beyond these there can be no space. For if beyond these there were still a body, it must either be simple or compound. It is now proved sophistically, from principles which are obviously begged, that no simple body could be there; and therefore, also, no compound body, for it would necessarily be composed of simple ones. Thus in general there can be no body there—but if not, then no space. For space is defined as “that in which bodies can be;” and it has just been proved that no body can be there. Thus there is also there no space. This last is the final stroke of this proof from abstract conceptions. It ultimately rests on the fact that the proposition, “Where no space is, there can be no body” is taken as a universal negative, and therefore converted simply, “Where no body can be there is no space.” But the former proposition, when properly regarded, is a universal affirmative: “Everything that has no space has no body,” thus it must not be converted simply. Yet it is not every proof from abstract conceptions, with a conclusion which clearly contradicts perception (as here the finiteness of space), that can thus [pg 266] be referred to a logical error. For the sophistry does not always lie in the form, but often in the matter, in the premisses, and in the indefiniteness of the conceptions and their extension. We find numerous examples of this in Spinoza, whose method indeed it is to prove from conceptions.

See, for example, the miserable sophisms in his “Ethics,” P. iv., prop. 29-31, by means of the ambiguity of the uncertain conceptions convenire and commune habere. Yet this does not prevent the neo-Spinozists of our own day from taking all that he has said for gospel. Of these the Hegelians, of whom there are actually still a few, are specially amusing on account of their traditional reverence for his principle, omnis determinatio est negatio, at which, according to the charlatan spirit of the school, they put on a face as if it was able to unhinge the world; whereas it is of no use at all, for even the simplest can see for himself that if I limit anything by determinations, I thereby exclude and thus negate what lies beyond these limits.

Thus in all mere reasonings of the above kind it becomes very apparent what errors that algebra with mere conceptions, uncontrolled by perception, is exposed to, and that therefore perception is for our intellect what the firm ground upon which it stands is for our body: if we forsake perception everything is instabilis tellus, innabilis unda. The reader will pardon the fulness of these expositions and examples on account of their instructiveness. I have sought by means of them to bring forward and support the difference, indeed the opposition, between perceptive and abstract or reflected knowledge, which has hitherto been too little regarded, and the establishment of which is a fundamental characteristic of my philosophy. For many phenomena of our mental life are only explicable through this distinction. The connecting link between these two such different kinds of knowledge is the faculty of judgment, as I have shown in § 14 of the first volume. This faculty is certainly also active [pg 267] in the province of mere abstract knowledge, in which it compares conceptions only with conceptions; therefore every judgment, in the logical sense of the word, is certainly a work of the faculty of judgment, for it always consists in the subsumption of a narrower conception under a wider one. Yet this activity of the faculty of judgment, in which it merely compares conceptions with each other, is a simpler and easier task than when it makes the transition from what is quite particular, the perception, to the essentially general, the conception.

For by the analysis of conceptions into their essential predicates it must be possible to decide upon purely logical grounds whether they are capable of being united or not, and for this the mere reason which every one possesses is sufficient. The faculty of judgment is therefore only active here in shortening this process, for he who is gifted with it sees at a glance what others only arrive at through a series of reflections. But its activity in the narrower sense really only appears when what is known through perception, thus the real experience, has to be carried over into distinct abstract knowledge, subsumed under accurately corresponding conceptions, and thus translated into reflected rational knowledge. It is therefore this faculty which has to establish the firm basis of all sciences, which always consists of what is known directly and cannot be further denied. Therefore here, in the fundamental judgments, lies the difficulty of the sciences, not in the inferences from these. To infer is easy, to judge is difficult. False inferences are rare, false judgments are always the order of the day. Not less in practical life has the faculty of judgment to give the decision in all fundamental conclusions and important determinations. Its office is in the main like that of the judicial sentence.

As the burning-glass brings to a focus all the sun's rays, so when the understanding works, the intellect has to bring together all the data which it has upon the subject so closely that the understanding comprehends them at a glance, which [pg 268] it now rightly fixes, and then carefully makes the result distinct to itself. Further, the great difficulty of judging in most cases depends upon the fact that we have to proceed from the consequent to the reason, a path which is always uncertain; indeed I have shown that the source of all error lies here. Yet in all the empirical sciences, and also in the affairs of real life, this way is for the most part the only one open to us. The experiment is an attempt to go over it again the other way; therefore it is decisive, and at least brings out error clearly; provided always that it is rightly chosen and honestly carried out; not like Newton's experiments in connection with the theory of colours. But the experiment itself must also again be judged. The complete certainty of the a priori sciences, logic and mathematics, depends principally upon the fact that in them the path from the reason to the consequent is open to us, and it is always certain. This gives them the character of purely objective sciences, i.e., sciences with regard to whose truths all who understand them must judge alike; and this is all the more remarkable as they are the very sciences which rest on the subjective forms of the intellect, while the empirical sciences alone have to do with what is palpably objective.

Wit and ingenuity are also manifestations of the faculty of judgment; in the former its activity is reflective, in the latter subsuming. In most men the faculty of judgment is only nominally present; it is a kind of irony that it is reckoned with the normal faculties of the mind, instead of being only attributed to the monstris per excessum. Ordinary men show even in the smallest affairs want of confidence in their own judgment, just because they know from experience that it is of no service. With them prejudice and imitation take its place; and thus they are kept in a state of continual non-age, from which scarcely one in many hundreds is delivered. Certainly this is not avowed, for even to themselves they appear to judge; but all the time they are glancing stealthily at the opinion of others, [pg 269] which is their secret standard. While each one would be ashamed to go about in a borrowed coat, hat, or mantle, they all have nothing but borrowed opinions, which they eagerly collect wherever they can find them, and then strut about giving them out as their own. Others borrow them again from them and do the same thing. This explains the rapid and wide spread of errors, and also the fame of what is bad; for the professional purveyors of opinion, such as journalists and the like, give as a rule only false wares, as those who hire out masquerading dresses give only false jewels.