XXII 337 HERMANN VON HELMHOLTZ with the possibility and the legitimacy of all natural know- ledge. The heavens and the earth doubtless exist apart from ourselves, but for us they only exist in so far as we perceive them. Part of what we perceive therefore appertains to our- selves part only has its origin in the properties of the heavens and the earth. How are we to separate the two? Helm- holtz's physiological investigations have cleared the ground for the answering of this question: they have supplied a firm fulcrum to which a lever can be applied. His own inclina- tions have led him to discuss these very questions in a series of philosophical papers, and no more competent judge could express an opinion upon them. Will his philosophical views continue to be esteemed as a possession for all time? We should not forget that we have here passed beyond the bounds of the exact sciences: no appeal to nature is possible, and we have nothing but opinion against opinion and view against view. As on the one hand Helmholtz was led by the study of the senses to the ultimate sources of knowledge, so on the other hand the same study led him to the glories of art. The rules which the painter and the musician instinctively observe were for the first time recognised as necessary con- sequences of our organisation, and were thereby transformed into conscious laws of artistic creation. Great and manifold as are these discoveries, they are all eclipsed by another with which the name of Helmholtz will ever be connected. This is a physical discovery of a more abstract nature. Here the human observer with his sensations retires into the background: light and colour fade away and sound becomes fainter; their place is taken by geometrical intuitions and general ideas, time, space, matter, and motion. Between these ideas relations have to be found, and these relations must correspond to the relations between the things. The value of these relations is measured by their generality. As relations of the most general nature we may mention the conservation of matter, the inertia of matter, the mutual attraction of all matter. Of new relations discovered in this century the most general is that which was first clearly recognised by Helmholtz. It is the law which he called the Principle of the Conservation of Force, but which is now Z