It was long believed that work done against such forces was lost, and it was not till the r9th century that the energy thus transformed was traced; the conservation of energy has become the master-key to unlock the connexions in inanimate nature.
At the same time that the per capita consumption thus rose in 1907 to 5~6 tons, the waste was estimated by the National Conservation Commission at 3~0 tons per capita.
Petroleum, according to the report of the National Conservation Commission in 1908, was then the sixth largest contributor to the Petrol nations mineral wealth, furnishing about one-sixteenth eum.
But, unfortunately for Fechner, the very opposite conclusion followed from the presuppositions of his parallelistic metaphysics, and from the Leibnitzian view of the conservation of energy, which he was the first in our time to use in order to argue that a physical cause cannot produce a psychical effect, on the ground that physical energy must be exactly replaced by physical energy.
Nevertheless, largely under the influence of the exaggeration of the conservation of energy, many psychologists - Wundt, Paulsen, Riehl, Jodl, Ebbinghaus, Miinsterberg, and in England Lewes, Clifford, Romanes, Stout - have accepted Fechner's psychophysical parallelism, as far at least as men and animals are concerned.
If the system is supposed to obey the conservation of energy and to move solely under its own internal forces, the changes in the co-ordinates and momenta can be found from the Hamiltonian equations aE aE qr = 49 - 1 57., gr where q r denotes dg r ldt, &c., and E is the total energy expressed as a function of pi, qi,.
Newcomb: "At the present time we can only say that the nebular hypothesis is indicated by the general tendencies of the laws of nature, that it has not been proved to be inconsistent with any fact, that it is almost a necessary consequence of the only theory by which we can account for the origin and conservation of the sun's heat, but that it rests on the assumption that this conservation is to be explained by the laws of nature as we now see them in operation.