a priori with the formal purposiveness of our representations; but the fact that we are compelled to look out beyond it inspires at the same time an admiration for the object that impels us thereto.

We are accustomed to speak of the above-mentioned properties of geometrical figures or of numbers as beautiful, on account of a certain a priori purposiveness they have for all kinds of cognitive uses, this purposiveness being quite unexpected on account of the simplicity of the construction. We speak, e.g. of this or that beautiful property of the circle, which was discovered in this or that way. But there is no aesthetical act of judgement through which we find it purposive, no act of judgement without a concept which renders noticeable a mere subjective purposiveness in the free play