Critique of Judgement by Immanuel Kant Chapter 57 Page 8

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.