Furthermore, if, instead of taking as simple an instance of form as the relations of the three points I have been discussing, I choose to take the sum total of the relations between the material elements (here I use material as correlative to formal), which go to make up the life history of a material object, say a tree, why may I not speak of the formal tree as being the same at two times, meaning thereby that the group of relations co-existent at any one time may be regarded as representative of any other group belonging to the one series or of the whole series? To be sure, I am not justified by common usage in thus speaking, since common usage marks only distinctions which are practically important, and by the words "the same tree" includes both form and matter. Nevertheless, I can see no reason why, if this element of form does admit of being considered apart, it is not at least possible to find in this field the kind of sameness we have in mind when we say that we have seen on two successive days the same tree.

Again, if I can speak of two simultaneous sensations of redness in one consciousness (e. g., the two halves of a red surface), as the same, meaning to indicate simply similarity, why may I not also speak of two simultaneous "experiences of triangularity" in one consciousness as the same, and keep clearly in mind here, too, that I mean only to indicate similarity? If I can speak of a sensation or a complex of sensations in one consciousness as the same with a similar sensation or group of sensations in another, and yet not forget that I am dealing with two things, why may I not do as much for two similar relations or groups of relations in two consciousnesses? If in the one case I do not confound sameness in the sense of similarity with sameness of the kind we mean when we say each thing is at each instant the same with itself, why should I do so in the other case? If, I repeat, the formal element in consciousness is enough of a thing to be distinguished from the material element and discussed, there appears no reason why it should not be open to distinctions of this kind.

And when I call up in memory a triangle once seen, the memory image would seem to stand as a representative of the original in both its elements, form and matter. In neither should the representative be confounded with the original. If we may use the word same to indicate this peculiar relation of representation between two things yet recognized as two, it would seem only just to allow this distinction as much in the case of triangularity as in the case of redness or blueness.

As to the sixth kind of sameness. May we grant this to the self, if by self we mean the formal element of consciousness? I have said a little way back, before taking up the distinction of formal and material, that, if we make the word self cover all the immediately known, there is nothing to prevent one's saying that two men see a part of the same self, for material objects (immediately known) would have to be regarded as such parts. And here it is evident that if we make self to cover the whole of the formal element in a consciousness, it of course includes the formal element in what we may call the objective side of consciousness—the side which is, in some sense of the words, common and impersonal. Now, we do say that two men see the same tree, and by tree, the man who distinguishes between form and matter means a certain complex containing both formal and material elements. These elements he believes he can distinguish from one another, and pay attention predominantly now to the one, and now to the other. Does it not seem to follow that a man may as truly be said to see the formal element as the material, and that two men who see the same tree may with justice be said to see the same shape or arrangement of parts? In other words, may we not apply the sixth sense of the word same to the formal element in consciousness if this element is a thing capable of treatment at all? And if this formal element in a tree seen by two men is a part of the self, why may we not say that two men see a part of the same self, even though we make self mere form? It would sound very odd to say so, of course, but that should not weigh with a philosopher, if consistency require it.

Finally, if I may call an immediately perceived object the same with its supposed "external" correlate, not confounding the two, but merely marking by the word a peculiar instance of the representative relation, why may I not, if I believe that "external" things stand in "real" relations to each other truly represented by our perceptions of things and their relations—why, in this case, may I not speak of the relations, "external" and "internal," as the same, without on that account forgetting that I am pointing out a relation between two things (if I may thus speak of relations), numerically different? Are they not as different as the "matter" of consciousness and its correlate in the "outer" world?

Sec. 18. In the foregoing I have endeavored to make my list of the kinds of sameness complete. I can think of nothing that has been overlooked; but as I have been trying to force a path through a thicket few have made any sustained effort to penetrate, it is quite possible my map of the ground may need emendation. I shall be very glad of any criticism which will help me to improve it. And as the many divisions made, and the many distinctions drawn, may very possibly tend to produce in one who has followed the discussion thus far, a state of mind akin to that of the "true-begotten" Gobbo, when he was obligingly directed to the Jew's house by his hopeful son, a short summary of the results obtained may serve to facilitate apprehension and intelligent criticism.

What has been done is this:

I began by considering the kinds of sameness of things immediately known, leaving out of consideration for the time being the sameness of the self or ego. This resulted in the following kinds:

I. Any mental element or complex of mental elements may be said to be the same with itself at any instant.

II. Any mental element or complex of mental elements in existence at one time may be called the same with a mental element or complex of mental elements existing at another time, to indicate that the two are similar.