all the wishes which were expressed by specialists, the number would have been quickly doubled. Yet a few remarks may be devoted to the branching off within the seven divisions, as a short discussion of some of these details may throw additional light on the general principles of the whole plan. If we thus begin with the Normative Sciences, we stand at once before one feature of the plan which has been in an especially high degree a matter of both approval and criticism: the fact that Mathematics is grouped with Philosophy. The Division was to contain, as we have seen, the systems of logically connected will-acts of the over-individual subject. That Ethics or Logic or Æsthetics or Philosophy of Religion deals with such over-individual attitudes cannot be doubted; but have we a right to coördinate the mathematical sciences with these philosophical sciences? Has Mathematics not a more natural place among the physical sciences coördinated with and introductory to Mechanics, Physics, and Astronomy? The mathematicians themselves would often be inclined to accept without hesitation this neighborhood of the physical sciences. They would say that the mathematical objects are independent realities whose properties we study like those of nature, whose relations we "observe," whose existence we "discover," and in which we are interested because they belong to the real world. All this is true, and yet the objects of the mathematician are objects made by the logical will only, and thus different from all phenomena into which sensation enters. The mathematician, of course, does not reflect on the purely logical origin of the objects which he studies, but the system of knowledge must give to the study of the mathematical objects its place in the group where the functions and products of the over-individual attitudes are classified. The mathematical object is a free creation, and a creation not only as to the combination of elements--that would be the case with many laboratory substances of the chemist too--but a creation as to the elements themselves, and the value of that creation, its "mathematical interest," is to be judged by ideals of thought; that is, by logical purposes. No doubt this logical purpose is its application in the world of objects and the mathematical concepts must thus fit the objective world so absolutely that mathematics can be conceived as a description of the world after abstracting not only from the will-relations, as physics does, but also from the content. Mathematics would, then, be the phenomenalistic science of the form and order of the world. In this way, mathematics has indeed a claim to places in both divisions: among the physical sciences if we emphasize its applicability to the world, and among the teleological sciences if we emphasize the free creation of the objects by the logical will. But if we really go back to epistemological principles, our system has to prefer the latter emphasis; that is, we