Now whether or not the identification of the scientific method with the practical application of the theory mentioned, will give the much needed definiteness and precision, depends very much upon the definiteness and precision of that theory itself.
The Scientific Theory of Universals, the author tells us, receives "no adequate exposition" in this book. We are in possession, however, of several other publications of the author, one of which—"Scientific Theism"—is largely devoted to that purpose.
We will endeavor in a spirit of studious candor and fidelity, to state as well as we can the essentials of that theory. We must protest, however, that we cannot undertake to clear up the obscurity that must necessarily involve any theory that is stated by the aid of such shifty and inconstant terms, as objective, subjective, knowledge, relation, existence, reality, etc., when the same are used without rigorous definitions of the respective senses thereof that are intended.
The Scientific Theory of Universals affirms, that objectively real individuals do exist, that objectively real genera do exist, that objectively real relations do exist, that the objectively real genera are in every instance constituted as such by that set of objectively real relations uniquely appropriate to it; that in every instance of a genus the objectively real relations "reproduce" themselves in specie in the mind separate from aught of the objective realities that are brought into relation by them, that these "reproduced" relations in the mind constitute the subjective concept that is designated by the word appropriate thereto, and that the single objective Universal is at once and integrally the objective genus, the subjective concept, and the term or word. The Universe is the summum genus, concept and word, which is, means, and expresses the correlated totality of all genera together.
Dr. Abbott neglects reference to genera of purely mental existences, and relies for proof of his theory upon the single argument that no postulate is used that Science has not taken for granted, and proved by the finding that the facts are in agreement with the postulates.
Now "the only possible justification of any theory is that it makes things clear and reasonable." In this theory the central and controlling position is that the objectively real relations invade the mind in person and there obtain as the concept.—This doctrine is so far as we can see the original idea of Dr. Abbott and must be considered as his contribution to philosophy. It is by this that his work is to be tested. Does the addition of this new postulate clear up any obscurity?—Is this new postulate one of the assumptions of Science?
The truth about this whole matter of universals seems to be that it belongs to the theory of notation primarily, and then to psychology and ontology.
The mind proceeds to obtain correspondence with its alternative by analysis and synthesis. The recognition of difference or otherness is an indispensable condition of consciousness itself. One phase of the recognition of difference is that activity called abstraction. But along with difference comes the recognition of what is different from difference, or likeness in all its grades and involutions. The sense of relation, and the impulse of generalisation also arise, and altogether these mentalities become effectual in virtue of some system or some plexus of systems of notation. Long before man ever began to reflect upon his mental operations and the means or tools employed on that behalf, his mental manners and customs had become a second mental nature. What warrant have we for taking these mental manners and customs as the same are reflected in ordinary language as adequate criteria for the world-problems, or even as representative of the very constitutional laws of thought itself? Just as philosophy found it profitable to postpone ontology to psychology, so it is submitted may it again find it profitable to postpone psychology to a study not merely of language but of notation generally, of which the notation of mathematics will undoubtedly be found the most significant. Here we have distinction, abstraction, assimilation, relation, and generalisation carried on and carried out with unchecked thoroughness, and systems of universals ascertained that not only correspond exactly with every acquired and incoming item of our experience, but are also in respect to one another continuous throughout the whole of their range. It will be impossible for any one who once appreciates the nature and competence of mathematical notation to regard any theory of universals relating to ordinary language as a solution of its problem that does not conform to the perfect models set in mathematics.
Dr. Abbott claims that scientific method is neither more nor less than the application of his theory. Granting that science makes the same presumptions, can scientific method be said to be neither more nor less than the application of his theory in any other sense than it could be said to be neither more nor less than the application of the theory of the existence of matter, energy, ether, and mind?
The scientific method consists not in its data but in the ways in which it deals with its data, in other words it consists in its logic. It observes and infers. It never stops to inquire if what it observes are the "things in themselves" or only phenomena. That is an utterly inconsequential question to it. It tests the validity of inductive and hypothetical inferences by comparison with experience, and phenomenal experience is every whit as good a criterion for it as any other. It has a metaphysics of its own which is mathematics and which it acknowledges as the supreme and unquestionable arbiter over whatever of its presumptions and theories that arbiter may undertake to govern.