of our cognitive faculties; but an intellectual act according to concepts which enables us clearly to cognise an objective purposiveness, i.e. availableness for all kinds of (infinitely manifold) purposes. We must rather call this relative perfection than a beauty of the mathematical figure. To speak thus of an intellectual beauty cannot in general be permissible; for otherwise the word beauty would lose all determinate significance, or the intellectual satisfaction all superiority over the sensible. We should rather call a demonstration of such properties beautiful, because through it the Understanding as the faculty of concepts, and the Imagination as the faculty of presenting them, feel themselves strengthened a priori. (This, when viewed in connexion with the precision introduced by Reason, is spoken of as