The solution of an antinomy only depends on the possibility of showing that two apparently contradictory propositions do not contradict one another in fact, but that they may be consistent; although the explanation of the possibility of their concept may transcend our cognitive faculties. That this illusion is natural and unavoidable by human Reason, and also why it is so, and remains so, although it ceases to deceive after the analysis of the apparent contradiction, may be thus explained.
In the two contradictory judgements we take the concept, on which the universal validity of a judgement must be based, in the same sense; and yet we apply to it two opposite predicates. In the Thesis we mean that the judgement of taste is not based upon determinate concepts; and in the Antithesis that the judgement of taste is based upon a concept, but an indeterminate one (viz. of the supersensible substrate of phenomena). Between these two there is no contradiction.
We can do nothing more than remove this conflict between the claims and counter-claims of taste. It is absolutely impossible to give a definite objective principle of taste, in accordance with which its judgements could be derived, examined, and established; for then the judgement would not be one of taste at all. The subjective principle, viz. the indefinite Idea of the supersensible in us, can only be put forward as the sole key to the puzzle of this faculty whose sources are hidden from us: it can be made no further intelligible.
The proper concept of taste, that is of a merely reflective aesthetical Judgement, lies at the basis of the antinomy here exhibited and adjusted. Thus the two apparently contradictory principles are reconciled—both can be true; which is sufficient. If, on the other hand, we assume, as some do, pleasantness as the determining ground of taste (on account of the singularity of the representation which lies at the basis of the judgement of taste), or, as others will have it, the principle of perfection (on account of the universality of the same), and settle the definition of taste accordingly; then there arises an antinomy which it is absolutely impossible to adjust except by showing that both the contrary (though not contradictory) propositions are false. And this would prove that the concept on which they are based is self-contradictory. Hence we see that the removal of the antinomy of the aesthetical Judgement takes a course similar to that pursued by the Critique in the solution of the antinomies of pure theoretical Reason. And thus here, as also in the Critique of practical Reason, the antinomies force us against our will to look beyond the sensible and to seek in the supersensible the point of union for all our a priori faculties; because no other expedient is left to make our Reason harmonious with itself.
Remark I.
As we so often find occasion in Transcendental Philosophy for distinguishing Ideas from concepts of the Understanding, it may be of use to introduce technical terms to correspond to this distinction. I believe that no one will object if I propose some.—In the most universal signification of the word, Ideas are representations referred to an object, according to a certain (subjective or objective) principle, but so that they can never become a cognition of it. They are either referred to an intuition, according to a merely subjective principle of the mutual harmony of the cognitive powers (the Imagination and the Understanding), and they are then called aesthetical; or they are referred to a concept according to an objective principle, although they can never furnish a cognition of the object and are called rational Ideas. In the latter case the concept is a transcendent one, which is different from a concept of the Understanding, to which an adequately corresponding experience can always be supplied, and which therefore is called immanent.
An aesthetical Idea cannot become a cognition, because it is an intuition (of the Imagination) for which an adequate concept can never be found. A rational Idea can never become a cognition, because it involves a concept (of the supersensible), corresponding to which an intuition can never be given.
Now I believe we might call the aesthetical Idea an inexponible representation of the Imagination, and a rational Idea an indemonstrable concept of Reason. It is assumed of both that they are not generated without grounds, but (according to the above explanation of an Idea in general) in conformity with certain principles of the cognitive faculties to which they belong (subjective principles in the one case, objective in the other).
Concepts of the Understanding must, as such, always be demonstrable [if by demonstration we understand, as in anatomy, merely presentation];[101] i.e. the object corresponding to them must always be capable of being given in intuition (pure or empirical); for thus alone could they become cognitions. The concept of magnitude can be given a priori in the intuition of space, e.g. of a right line, etc.; the concept of cause in impenetrability, in the collision of bodies, etc. Consequently both can be authenticated by means of an empirical intuition, i.e. the thought of them can be proved (demonstrated, verified) by an example; and this must be possible, for otherwise we should not be certain that the concept was not empty, i.e. devoid of any Object.
In Logic we ordinarily use the expressions demonstrable or indemonstrable only in respect of propositions, but these might be better designated by the titles respectively of mediately and immediately certain propositions; for pure Philosophy has also propositions of both kinds, i.e. true propositions, some of which are susceptible of proof and others not. It can, as philosophy, prove them on a priori grounds, but it cannot demonstrate them; unless we wish to depart entirely from the proper meaning of this word, according to which to demonstrate (ostendere, exhibere) is equivalent to presenting a concept in intuition (whether in proof or merely in definition). If the intuition is a priori this is called construction; but if it is empirical, then the Object is displayed by means of which objective reality is assured to the concept. Thus we say of an anatomist that he demonstrates the human eye, if by a dissection of this organ he makes intuitively evident the concept which he has previously treated discursively.