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

The fourth conflict is, as I have already remarked, really tautological with the third; and the proof of the thesis is also essentially the same as that of the preceding one. His assertion that every conditioned presupposes a complete series of conditions, and therefore a series which ends with an unconditioned, is a petitio principii , which must simply be denied. Everything conditioned presupposes nothing but its condition; that this is again conditioned raises a new consideration which is not directly contained in the first.

A certain appearance of probability cannot be denied to the antinomy; yet it is remarkable that no part of the Kantian philosophy has met so little contradiction, indeed has found so much acceptance, as this exceedingly paradoxical doctrine. Almost all philosophical parties and text-books have regarded it as valid, and have also repeatedly reconstructed it; while nearly all Kant's other doctrines have been contested, and indeed there have never been wanting some perverse minds which rejected even the transcendental æsthetic. The undivided assent which the antinomy, on the other hand, has met with may ultimately arise from the fact that certain persons regard with inward satisfaction the point at which the understanding is so thoroughly brought to a standstill, having hit upon something which at once is and is not, so that they actually have before them here the sixth trick of Philadelphia in Lichtenberg's broadsheet.

If we examine the real meaning of Kant's Critical Solution of the cosmological problem which now follows, we find that it is not what he gives it out to be, the solution of the problem by the disclosure that both sides, starting from false assumptions, are wrong in the first and second conflicts, and that in the third and fourth both are right. It is really the confirmation of the antitheses by the explanation of their assertions.

First Kant asserts, in this solution, obviously wrongly, that both sides started from the assumption, as their first principle, that with the conditioned the completed (thus rounded off) series of its conditions is given. Only the thesis laid down this proposition, Kant's principle of pure reason, as the ground of its assertions; the antithesis, on the other hand, expressly denied it throughout, and asserted the contrary. Further, Kant charges both sides with this assumption, that the world exists in itself, i. e. , independently of being known and of the forms of this knowledge, but this assumption also is only made by the thesis; indeed, it is so far from forming the ground of the assertions of the antithesis that it is absolutely inconsistent with them. For that it should all be given is absolutely contradictory of the conception of an infinite series. It is therefore essential to it that it should always exist only with reference to the process of going through it, and not independently of this. On the other hand, in the assumption of definite limits also lies that of a whole which exists absolutely and independently of the process of completely measuring it. Thus it is only the thesis that makes the false assumption of a self-existent universe, i. e. , a universe given prior to all knowledge, and to which knowledge came as to something external to itself. The antithesis from the outset combats this assumption absolutely; for the infinity of the series which it asserts merely under the guidance of the principle of sufficient reason can only exist if the regressus is fully carried out, but not independently of it. As the object in general presupposes the subject, so also the object which is determined as an endless chain of conditions necessarily presupposes in the subject the kind of knowledge corresponding to this, that is, the constant following of the links of that chain. But this is just what Kant gives as the solution of the problem, and so often repeats: “The infinity of the world is only through the regressus, not before it.” This his solution of the conflict is thus really only the decision in favour of the antithesis in the assertion of which this truth already lies, while it is altogether inconsistent with the assertions of the thesis. If the antithesis had asserted that the world consisted of infinite series of reasons and consequents, and yet existed independently of the idea and its regressive series, thus in itself, and therefore constituted a given whole, it would have contradicted not only the thesis but also itself. For an infinite can never be given as a whole, nor an endless series exist, except as an endless progress; nor can what is boundless constitute a whole. Thus this assumption, of which Kant asserts that it led both sides into error, belongs only to the thesis.

It is already a doctrine of Aristotle's that an infinity can never be actu , i. e. , actual and given, but only potentiâ . Ουκ εστιν ενεργειᾳ ειναι το απειρον … αλλ᾽ αδυνατον το εντελεχειᾳ ον απειρον ( infinitum non potest esse actu: … sed impossibile, actu esse infinitum ), Metaph. K. 10. Further: κατ᾽ ενεργειαν μεν γαρ ουδεν εστιν απειρον, δυναμει δε επι την διαιρεσιν ( nihil enim actu infinitum est, sed potentia tantum, nempe divisione ipsa ). De generat. et corrupt. , i., 3. He develops this fully in the “Physics,” iii. 5 and 6, where to a certain extent he gives the perfectly correct solution of the whole of the antinomies. He expounds the antinomies in his short way, and then says, “A mediator (διαιτητου) is required;” upon which he gives the solution that the infinite, both of the world in space and in time and in division, is never before the regressus, or progressus, but in it. This truth lies then in the rightly apprehended conception of the infinite. Thus one misunderstands himself if he imagines that he can think the infinite, of whatever kind it may be, as something objectively present and complete, and independent of the regressus.

Indeed if, reversing the procedure, we take as the starting-point what Kant gives as the solution of the conflict, the assertion of the antithesis follows exactly from it. Thus: if the world is not an unconditioned whole and does not exist absolutely but only in the idea, and if its series of reasons and consequents do not exist before the regressus of the ideas of them but only through this regressus, then the world cannot contain determined and finite series, because their determination and limitation would necessarily be independent of the idea, which would then only come afterwards; but all its series must be infinite, i. e. , inexhaustible by any idea.

On p. 506; V. 534, Kant tries to prove from the falseness of both sides the transcendental ideality of the phenomenon, and begins, “If the world is a whole existing by itself, it is either finite or infinite.” But this is false; a whole existing of itself cannot possibly be infinite. That ideality may rather be concluded from the infinity of the series in the world in the following manner: – If the series of reasons and consequents in the world are absolutely without end, the world cannot be a given whole independent of the idea; for such a world always presupposes definite limits, just as on the contrary infinite series presuppose an infinite regressus. Therefore, the presupposed infinity of the series must be determined through the form of reason and consequent, and this again through the form of knowledge of the subject; thus the world as it is known must exist only in the idea of the subject.

Now whether Kant himself was aware or not that his critical solution of the problem is really a decision in favour of the antithesis, I am unable to decide. For it depends upon whether what Schelling has somewhere very happily called Kant's system of accommodation extended so far; or whether Kant's mind was here already involved in an unconscious accommodation to the influence of his time and surroundings.