The unutterable depth of all music by virtue of which it floats through our consciousness as the vision of a paradise firmly believed in yet ever distant from us, and by which also it is so fully understood and yet so inexplicable, rests on the fact that it restores to us all the emotions of our inmost nature, but entirely without reality and far removed from their pain. So also the seriousness which is essential to it, which excludes the absurd from its direct and peculiar province, is to be explained by the fact that its object is not the idea, with reference to which alone deception and absurdity are possible; but its object is directly the will, and this is essentially the most serious of all things, for it is that on which all depends. How rich in content and full of significance the language of music is, we see from the repetitions, as well as the _Da capo_, the like of which would be unbearable in works composed in a language of words, but in music are very appropriate and beneficial, for, in order to comprehend it fully, we must hear it twice. In the whole of this exposition of music I have been trying to bring out clearly that it expresses in a perfectly universal language, in a homogeneous material, mere tones, and with the greatest determinateness and truth, the inner nature, the in-itself of the world, which we think under the concept of will, because will is its most distinct manifestation. Further, according to my view and contention, philosophy is nothing but a complete and accurate repetition or expression of the nature of the world in very general concepts, for only in such is it possible to get a view of that whole nature which will everywhere be adequate and applicable. Thus, whoever has followed me and entered into my mode of thought, will not think it so very paradoxical if I say, that supposing it were possible to give a perfectly accurate, complete explanation of music, extending even to particulars, that is to say, a detailed repetition in concepts of what it expresses, this would also be a sufficient repetition and explanation of the world in concepts, or at least entirely parallel to such an explanation, and thus it would be the true philosophy. Consequently the saying of Leibnitz quoted above, which is quite accurate from a lower standpoint, may be parodied in the following way to suit our higher view of music: _Musica est exercitium metaphysices occultum nescientis se philosophari animi_; for _scire_, to know, always means to have fixed in abstract concepts. But further, on account of the truth of the saying of Leibnitz, which is confirmed in various ways, music, regarded apart from its æsthetic or inner significance, and looked at merely externally and purely empirically, is simply the means of comprehending directly and in the concrete large numbers and complex relations of numbers, which otherwise we could only know indirectly by fixing them in concepts. Therefore by the union of these two very