a standard bearing a definite relation, expressible in numbers, to the infinite; which is impossible. Nevertheless, the bare capability of thinking this infinite without contradiction requires in the human mind a faculty itself supersensible.

For it is only by means of this faculty and its Idea of a noumenon, — which admits of no intuition, but which yet serves as the substrate for the intuition of the world, as a mere phenomenon, — that the infinite of the world of sense, in the pure intellectual estimation of magnitude, can be completely comprehended under a concept, although in the mathematical estimation of magnitude by means of concepts of number it can never be completely thought. The faculty of being able to think the infinite of supersensible intuition as given (in its