rule, and thereby it becomes at once actual. For example:
Maj. All houses (consequently also my house) can be destroyed by fire.
Min. My house is on fire.
Concl. My house is being destroyed by fire.
For every general proposition, thus every major, always determines things with reference to actuality only under a presupposition, therefore hypothetically; for example, the capability of being burnt down has as a presupposition the catching fire. This presupposition is produced in the minor. The major always loads the cannon, but only if the minor brings the match does the shot, i. e., the conclusion, follow. This holds good throughout of the relation of possibility to actuality. Since now the conclusion, which is the assertion of actuality, always follows necessarily, it is evident from this that all that is actual is also necessary, which can also be seen from the fact that necessity only means being the consequent of a given reason: this is in the case of the actual a cause: thus everything actual is necessary. Accordingly, we see here the conceptions of the possible, the actual, and the necessary unite, and not merely the last presuppose the first, but also the converse. What keeps them apart is the limitation of our intellect through the form of time; for time is the mediator between possibility and actuality. The necessity of the particular event may be fully seen from the knowledge of all its causes; but the concurrence of the whole of these different and independent causes seems to us contingent; indeed their independence of each other is just the conception of contingency. Since, however, each of them was the necessary effect of its causes, the chain of which has no beginning, it is evident that contingency is merely a subjective phenomenon, arising from the limitation of the horizon of our understanding, and just as subjective as the optical horizon at which the heavens touch the earth.
Since necessity is the same thing as following from given grounds, it must appear in a special way in the case of every form of the principle of sufficient reason, and also have its opposite in the possibility and impossibility which always arises only through the application of the abstract reflection of the reason to the object. Therefore the four kinds of necessity mentioned above stand opposed to as many kinds of impossibility, physical, logical, mathematical and practical. It may further be remarked that if one remains entirely within the province of abstract concepts, possibility is always connected with the more general, and necessity with the more limited concept; for example, “An animal may be a bird, a fish, an amphibious creature, &c.” “A nightingale must be a bird, a bird must be an animal, an animal must be an organism, an organism must be a body.” This is because logical necessity, the expression of which is the syllogism, proceeds from the general to the particular, and never conversely. In the concrete world of nature (ideas of the first class), on the contrary, everything is really necessary through the law of causality; only added reflection can conceive it as also contingent, comparing it with that which is not its cause, and also as merely and purely actual, by disregarding all causal connection. Only in this class of ideas does the conception of the actual properly occur, as is also shown by the derivation of the word from the conception of causality. In the third class of ideas, that of pure mathematical perception or intuition, if we confine ourselves strictly to it, there is only necessity. Possibility occurs here also only through relation to the concepts of reflection: for example, “A triangle may be right-angled, obtuse-angled, or equiangular; its three angles must be equal to two right-angles.” Thus here we only arrive at the possible through the transition from the perceptible to the abstract.
After this exposition, which presupposes the recollection of what was said both in the essay on the principle of sufficient reason and in the first book of the present work, there will, it is hoped, be no further doubt as to the true and very heterogeneous source of those forms which the table of judgments lays before us, nor as to the inadmissibility and utter groundlessness of the assumption of twelve special functions of the understanding for the explanation of them. The latter point is also supported by a number of special circumstances very easily noted. Thus, for example, it requires great love of symmetry and much trust in a clue derived from it, to lead one to assume that an affirmative, a categorical, and an assertatory judgment are three such different things that they justify the assumption of an entirely special function of the understanding for each of them.
Kant himself betrays his consciousness of the untenable nature of his doctrine of the categories by the fact that in the third chapter of the Analytic of Principles (phænomena et noumena) several long passages of the first edition (p. 241, 242, 244-246, 248-253) are omitted in the second – passages which displayed the weakness of that doctrine too openly. So, for example, he says there (p. 241) that he has not defined the individual categories, because he could not define them even if he had wished to do so, inasmuch as they were susceptible of no definition. In saying this he forgot that at p. 82 of the same first edition he had said: “I purposely dispense with the definition of the categories although I may be in possession of it.” This then was, sit venia verbo, wind. But this last passage he has allowed to stand. And so all those passages wisely omitted afterwards betray the fact that nothing distinct can be thought in connection with the categories, and this whole doctrine stands upon a weak foundation.
This table of the categories is now made the guiding clue according to which every metaphysical, and indeed every scientific inquiry is to be conducted (Prolegomena, § 39). And, in fact, it is not only the foundation of the whole Kantian philosophy and the type according to which its symmetry is everywhere carried out, as I have already shown above, but it has also really become the procrustean bed into which Kant forces every possible inquiry, by means of a violence which I shall now consider somewhat more closely. But with such an opportunity what must not the imitatores servum pecus have done! We have seen. That violence then is applied in this way. The meaning of the expressions denoted by the titles, forms of judgment and categories, is entirely set aside and forgotten, and the expressions alone are retained. These have their source partly in Aristotle's Analyt. priora, i. 23 (περι ποιοτητος και ποσοτητος των του συλλογισμου ὁρων: de qualitate et quantitate terminorum syllogismi), but are arbitrarily chosen; for the extent of the concepts might certainly have been otherwise expressed than through the word quantity, though this word is more suited to its object than the rest of the titles of the categories. Even the word quality has obviously been chosen on account of the custom of opposing quality to quantity; for the name quality is certainly taken arbitrarily enough for affirmation and negation. But now in every inquiry instituted by Kant, every quantity in time and space, and every possible quality of things, physical, moral, &c., is brought by him under those category titles, although between these things and those titles of the forms of judgment and of thought there is absolutely nothing in common except the accidental and arbitrary nomenclature. It is needful to keep in mind all the respect which in other regards is due to Kant to enable one to refrain from expressing in hard terms one's repugnance to this procedure. The nearest example is afforded us at once by the pure physiological table of the general principles of natural science. What in all the world has the quantity of judgments to do with the fact that every perception has an extensive magnitude? What has the quality of judgments to do with the fact that every sensation has a degree? The former rests rather on the fact that space is the form of our external perception, and the latter is nothing more than an empirical, and, moreover, entirely subjective feeling, drawn merely from the consideration of the nature of our organs of sense. Further, in the table which gives the basis of rational psychology (Critique of Pure Reason, p. 344; V. 402), the simplicity of the soul is cited under quality; but this is just a quantitative property, and has absolutely no relation to the affirmation or negation in the judgment. But quantity had to be completed by the unity of the soul, which is, however, already included in its simplicity. Then modality is forced in in an absurd way; the soul stands in connection with possible objects; but connection belongs to relation, only this is already taken possession of by substance. Then the four cosmological Ideas, which are the material of the antinomies, are referred to the titles of the categories; but of this we shall speak more fully further on, when we come to the examination of these antinomies.
