Page:The World and the Individual, Second Series (1901).djvu/115

90 objects. Feelings, deeds, persons, lives, stellar spectra, chemical elements, processes of evolution, types of doctrine, modes of conduct, aesthetic values, in brief, beings of all grades, invite serial treatment as soon as they are compared. Various series, already conceived, can be combined in the most varied ways, so as to give us systems of objects that no longer can be arranged in any single serial order. We thus get Systems whose series are interwoven and interrelated in most manifold fashions. Mr. Kempe’s example of the classes in a single “Universe of Discourse,” while it by no means exhausts the complexity of the relations that are definable through conceiving various systems of series connected together, is so complex that the space of the geometer, we have seen, corresponds to one only of the special forms definable within that system.

The conception of systems of facts such that any two members of the system may be viewed as linked by series of intermediaries, is thus indeed capable of application in