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The problem for our study is, to get determinate concepts of Anarchism and its species. As soon as such determinate concepts are attained, Anarchism is scientifically known. For their determination is not only conditioned on a comprehensive view of all the individual phenomena of Anarchism; it also brings together the results of this comprehensive view, and assigns to them a place in the totality of our knowledge.

The problem of getting determinate concepts of Anarchism and its species seems at a first glance perfectly clear. But the apparent clearness vanishes on closer examination.

For there rises first the question, what shall be the starting-point of our study? The answer will be given, "Anarchistic teachings." But there is by no means an agreement as to what teachings are Anarchistic; one man designates as "Anarchistic" these teachings, another those; and of the teachings themselves a part designate themselves as Anarchistic, a part do not. How can one take any of them as Anarchistic teachings for a starting-point, without applying that very concept of Anarchism which he has yet to determine?

Then rises the further question, what is the goal of the study? The answer will be given, "the concepts of Anarchism and its species." But we see daily that different men define in quite different ways the concept of an object which they yet conceive in the same way. One says that law is the general will; another, that it is a mass of precepts which limit a man's natural liberty for other men's sake; a third, that it is the ordering of the life of the nation (or of the community of nations) to maintain God's order of the world. They all know that a definition should state the proximate genus and the distinctive marks of the species, but this knowledge does them little good. So it seems that the goal of the study does still require elucidation.

Lastly rises the question, what is the way to this goal? Any one who has ever observed the conflict of opinions in the intellectual sciences knows well, on the one hand, how utterly we lack a recognized method for the solution of problems; and, on the other hand, how necessary it is in any study to get clearly in mind the method that is to be used.

2. Our study can come to a more precise specification of its problem. The problem is to put concepts in the place of non-conceptual notions of Anarchism and its species.

Every concept-determining study faces the problem of comprehending conceptually an object that was first comprehended non-conceptually, and therefore of putting a concept in the place of non-conceptual notions of an object. This problem finds a specially clear expression in the concept-determining judgment (the definition), which puts in immediate juxtaposition, in its subject some non-conceptual notion of an object, and in its predicate a conceptual notion of the same object.

Accordingly, the study that is to determine the concepts of Anarchism and its species has for its problem to comprehend conceptually objects that are first comprehended in non-conceptual notions of Anarchism and its species; and therefore, to put concepts in the place of these non-conceptual notions.

3. But our study may specify its problem still more precisely, though at first only on the negative side. The problem is not to put concepts in the place of all notions that appear as non-conceptual notions of Anarchism and its species.

Any concept can comprehend conceptually only one object, not another object together with this. The concept of health cannot be at the same time the concept of life, nor the concept of the horse that of the mammal.

But in the non-conceptual notions that appear as notions of Anarchism and its species there are comprehended very different objects. To be sure, the object of all these notions is on the one hand a genus that is formed by the common qualities of certain teachings, and on the other hand the species of this genus, which are formed by the addition of sundry peculiarities to these common qualities. But still these notions have in view very different groups of teachings with their common and special qualities, some perhaps only the teachings of Kropotkin and Most, others only the teachings of Stirner, Tucker, and Mackay, others again the teachings of both sets of authors.

If one proposed to put concepts in the place of all the non-conceptual notions which appear as notions of Anarchism and its species, these concepts would have to comprehend at once the common and special qualities of quite different groups of teachings, of which groups one might embrace only the teachings of Kropotkin and Most, another only those of Stirner, Tucker, and Mackay, a third both. But this is impossible: the concepts of Anarchism and its species can comprehend only the common and special qualities of a single group of teachings; therefore our study cannot put concepts in the place of all the notions that appear as notions of Anarchism and its species.

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.