I have already strained my readers' attention sufficiently by these abstract statements of matters technical and minute. Let us stop thinking for a while and observe. I will draw a picture of goodness and teach the eye what sort of thing it is. We have only to follow in our drawing the conditions already laid down. We agreed that when an object was good it was good _for_ something; so that if A is good, it must be good for B. This instrumental relation, of means to end, may well be indicated by an arrow pointing out the direction in which the influence moves. But if B is also to be good, it too must be connected by an arrow with another object, C, and this in the same way with D. The process might evidently be continued forever, but will be sufficiently shown in the three stages of Figure 1. Here the arrow always expresses the extrinsic goodness of the letter which lies behind it, in reference to the letter which lies before. [Fig. 1] But drawing our diagram in this fashion and finding a little gap between D and A, the completing mind of man longs to fill up that gap. We have no warrant for doing anything of the sort; but let us try the experiment and see what effect will follow. Under the new arrangement we find that not only is D good for A, but that A, being good for B and for C, is also good for D. To express these facts in full it would be necessary to put a point on each end of the arrow connecting A and D. [Fig. 2] But the same would be true of the relation between A and B; that is, B, being good for C and for D, is also good for A. Or, as similar reasoning would hold throughout the figure, all the arrows appearing there should be supplied with heads at both ends. And there is one further correction. A is good for B and for C; that is, A is good for C. The same relation should also be indicated between B and D. So that to render our diagram complete it would be necessary to supply it with two diagonal arrows having double heads. It would then assume the following form. [Fig. 3]