2 JUNE 1923, Page 21

Professor Eddington is not only a master of lucid exposition

; he has, in addition, the gift of imparting to others the fascination which his subject has for himself, particularly in its more uncertain and speculative aspects. So that even in this complete mathematical treatise there are many pages which will provide stimulating food for reflection for the non-mathematician. Is the universe cylindrical or spherical ? Does the action of the mind really follow the process of Hamiltonian differentiation of an invariant ? Is Weyl's World Geometry true ? Lastly, can the theory of relativity be extended to include the phenomena of that domain of physics to which the laws of atomicity now bar the entrance ? Or, is there some unknown external world whose laws we cannot control, and, indeed, may not even succeed in formulating ?