4. By completing on the affirmative side this negative specification of its problem, our study can arrive at a still more precise specification of this problem. The problem is to put concepts in the place of those non-conceptual notions of Anarchism and its species, having in view one and the same group of teachings, which are most widely diffused among the men who at present are scientifically concerned with Anarchism. Because the only possible problem for our study is to put concepts in the place of part of the notions that appear as non-conceptual notions of Anarchism and its species,--to wit, only in the place of such notions as have in view one and the same group of teachings with its common and special qualities,--therefore we must divide into classes, according to the groups of teachings that they severally have in view, the notions that appear as notions of Anarchism and its species, and we must choose the class whose notions are to be replaced by concepts. The choice of the class must depend on the kind of men for whom the study is meant. For the study of a concept is of value only for those who non-conceptually apprehend the object of the concept, since the concept takes the place of their notions only. For those who form a non-conceptual notion of space, the concept of morality is so far meaningless; and just as meaningless, for those who mean by Anarchism what the teachings of Proudhon and Stirner have in common, is the concept of what is common to the teachings of Proudhon, Stirner, Bakunin, and Kropotkin. But the men for whom this study is meant are those who at present are scientifically concerned with Anarchism. If all these, in their notions of Anarchism and its species, had in view one and the same group of teachings, then the problem for our study would be to put concepts in the place of this set of notions. Since this is not the case, the only possible problem for our study is to put concepts in the place of that set of notions which has in view a group of teachings that the greatest possible number of the men at present scientifically concerned with Anarchism have in view in their non-conceptual notions of Anarchism and its species. 2.--THE STARTING-POINT In accordance with what has been said, the starting-point of our study must be those non-conceptual notions of Anarchism and its species, having in view one and the same group of teachings, which are most widely diffused among the men who at present are scientifically concerned with Anarchism. 1. How can it be known what group of teachings the non-conceptual notions of Anarchism and its species most widely diffused among the men at present scientifically concerned with Anarchism have in view? First and foremost, this may be seen from utterances regarding particular Anarchistic teachings, and from lists and descriptions of such teachings.