Geometrical Psychology 1887 by B. W. Betts

Mr. Betts has spent more than twenty years studying and contemplating the evolution of man Man, not from the physical, but from the metaphysical point of view; thus the evolution of Man is for him the evolution of human consciousness. He attempts to represent the successive stages of this evolution by means of symbolical mathematical forms. These forms represent the course of development of human consciousness from the animal basis, the pure sense-consciousness, to the spiritual or divine consciousness;  Mr. Betts felt that consciousness is the only fact that we can study directly, since all other objects of knowledge must be perceived through consciousness.

Mathematical form, he considers, is the first reflection and most pure image of our subjective activity. Then follows number, having a close relation to linear conception. Hence mathematical form with number supplies the fittest symbols for what Mr. Betts calls “The Science of Representation,” the orderly representation by a system of symbolization of the spiritual evolution of life, plane after place.

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