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ss of the two is impossible so long as we think _a_ as _one_ thing. That which is unsuccessful in this case will succeed, perhaps, if in thought we break up the _a_ into several things--[Greek: _a b g_]. Then we shall be able to explain through the "together" (_Zusammen_) of this plurality what we were unable to explain from the undecomposed _a_, or from the single constituents of it. The "together" is a "relation" established by thought among the elements of the real. For this reason Herbart terms his method of finding out necessary supplements to the given "the method of relations." Another name for the same thing is "the method of contingent aspects." Mechanics operates with contingent aspects when, for the sake of explanation, it resolves a given motion into several components. Such fictions and substitutions--auxiliary concepts, which are not real, but which serve only as paths for thought--may be successfully employed by metaphysics also. The abstract expression of this method runs: The contradiction is to be removed by thinking one of its members as manifold rather than as one. In order to observe the workings of this Herbartian machine we shall go over the four principal contradictions by which his acuteness is put to the test--the problems of inherence, of change, of the continuous, of the ego. We call the given sensation-complexes "things," and ascribe "properties" to them. How can one and the same thing have different properties--how can the one be at the same time many? To say that the thing "possesses" the properties does not help the matter. The possession of the different properties is itself just as manifold and various as the properties which are possessed. Hence the concept of the thing and its properties must be so transformed that the plurality which seems to be in the thing shall be transferred without it. Instead of one thing let us assume several, each with a single definite property, from whose "together" the appearance of many qualities in one thing now arises. The appearance of manifold properties in the one thing has its ground in the "together" of many things, each of which has one simple quality. Again, it is just as impossible for a thing to have different qualities in succession, or to change, as it is for it to have them at the same time. The popular view of change, which holds that a thing takes on different forms (ice, water, steam) and yet remains the same substance, is untenable. How i
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