Finally, the satisfaction afforded by the contemplation of a beautiful object is a necessary satisfaction. This necessity is not, to be sure, theoretical like the necessity attaching to the Law of Causality; nor is it a practical necessity as is the need to assume the Moral Law as the guiding principle of conduct. But it may be called _exemplary_; that is, we may set up our satisfaction in a beautiful picture as setting an example to be followed by others. It is plain, however, that this can only be assumed under certain presuppositions. We must presuppose the idea of a _sensus communis_ or common sense in which all men share. As knowledge admits of being communicated to others, so also does the feeling for beauty. For the relation between the cognitive faculties requisite for Taste is also requisite for Intelligence or sound Understanding, and as we always presuppose the latter to be the same in others as in ourselves, so may we presuppose the former. The analysis of the Sublime which follows that of the Beautiful is interesting and profound; indeed Schopenhauer regarded it as the best part of the Critique of the Aesthetical Judgement. The general characteristics of our judgements about the Sublime are similar to those already laid down in the case of the Beautiful; but there are marked differences in the two cases. If the pleasure taken in beauty arises from a feeling of the purposiveness of the object in its relation to the subject, that in sublimity rather expresses a purposiveness of the subject in respect of the object. Nothing in nature is sublime; and the sublimity really resides in the mind and there alone. Indeed, as true Beauty is found, properly speaking, only in beauty of form, the idea of sublimity is excited rather by those objects which are formless and exhibit a violation of purpose. A distinction not needed in the case of the Beautiful becomes necessary when we proceed to further analyse the Sublime. For in aesthetical judgements about the Beautiful the mind is in _restful_ contemplation; but in the case of the Sublime a mental _movement_ is excited (pp. 105 and 120). This movement, as it is pleasing, must involve a purposiveness in the harmony of the mental powers; and the purposiveness may be either in reference to the faculty of cognition or to that of desire. In the former case the sublime is called the Mathematically Sublime--the sublime of mere magnitude--the absolutely great; in the latter it is the sublime of power, the Dynamically Sublime. Gioberti, an Italian writer on the philosophy of Taste, has pushed this distinction so far as to find in it an explanation of the relation between Beauty and Sublimity. “The dynamical Sublime,” he says, “creates the Beautiful; the mathematical Sublime contains it,” a remark with which probably Kant would have no quarrel.