valuable wholes. Just as in sections (1) and (2) it was maintained that aesthetic and affectionate emotions had little or no value apart from the cognition of appropriate objects, and that the cognition of these objects had little or no value apart from the appropriate emotion, so that the whole, in which both were combined, had a value greatly in excess of the sum of the values of its parts; so, according to this section, if there be added to these wholes a true belief in the reality of the object, the new whole thus formed has a value greatly in excess of the sum obtained by adding the value of the true belief, considered in itself, to that of our original wholes. This new case only differs from the former in this, that, whereas the true belief, by itself, has quite as little value as either of the two other constituents taken singly, yet they, taken together, seem to form a whole of very great value, whereas this is not the case with the two wholes which might be formed by adding the true belief to either of the others.
The importance of the result of this section seems to lie mainly in two of its consequences. (1) That it affords some justification for the immense intrinsic value, which seems to be commonly attributed to the mere knowledge of some truths, and which was expressly attributed to some kinds of knowledge by Plato and Aristotle. Perfect knowledge has indeed competed with perfect love for the position of Ideal. If the results of this section are correct, it appears that knowledge, though having little or no value by itself, is an absolutely essential constituent in the highest goods, and contributes immensely to their value. And it appears that this function may be performed not only by that case of knowledge, which we have chiefly considered, namely knowledge of the reality of the beautiful object cognised, but also by knowledge of the numerical identity of this object with that which really exists, and by the knowledge that the existence of that object is truly good. Indeed all knowledge, which is directly concerned with the nature of the constituents of a beautiful object, would seem capable of adding greatly to the value of the contemplation of that object, although, by itself, such knowledge would have no value at all.—And (2) The second important consequence, which follows from this section,
