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10 matical science has no logical dependence upon physics. Yet we have all heard how largely physical science has influenced the lines of investigation followed by the modern mathematicians. Within the mathematical realm itself, pure Algebra, when once abstractly defined, is not logically dependent upon Geometry for its principles or for its theories, yet some theories of modern Algebra have actually developed largely under the spell, as it were, of ideas of an unquestionable geometrical origin. Now a similar relation, I think, will in future find the development of pure Philosophy, and in particular of Rational Theology, to the progress of the special sciences, both mathematical and empirical. I do not think it right to regard philosophy merely as a compendium of the results of special science. Philosophy has its own field. But on the other hand, to reflect upon the meaning of life and of science (and in such thorough-going Reflection philosophy consists), is a process whose seriousness and wealth must grow as our human life and science progress. And hence every great new advance of science demands a fresh consideration of philosophic issues, and will insure in the end a power to grasp, more critically and more deeply, the central problem of Being itself. Hence the more we possess of special science, the more hope we ought to have for pure Philosophy.

So much then for the most general definition and justification of the proposed scope of these lectures.