[21] Hermann Grassmann, one of the founders of modern mathematics, has called attention to the fact that Euclid had a clearer conception of the fundamental concepts of mathematics than his ill-informed translators and interpreters. Grassmann says in his _Ausdehnungslehre_: “From the imputation of confounding axioms with assumed concepts Euclid himself, however, is free, Euclid incorporated the former among his postulates (αἰτήματα) while he separated the latter as common concepts (κοιναὶ ἐννοιαι)—a proceeding which even on the part of his commentators was no longer understood, and likewise with modern mathematicians, unfortunately for science, has met with little imitation. As a matter of fact, the abstract methods of mathematical science know no axioms at all.”—Quoted from _The Open Court_, Vol. II. No. 77, _A Flaw in the Foundation of Geometry_, by Hermann Grassmann, translated from his _Ausdehnungslehre_ by μκρκ. BOOK REVIEWS. BELIEF IN GOD. Its Origin, Nature, and Basis. Being the Winkley Lectures of the Andover Theological Seminary for the Year 1890. By _Jacob Gould Schurmann_. New York: Charles Scribner’s Sons. 1890. The learned Sage Professor of Philosophy in Cornell University, after tracing the historical origin and development of the belief in God, expresses his conviction that the problem of the modern theist consists in the union of the Aryan and Semitic modes of interpreting existence. We shall then have “a synthesis of the Father of all spirits with the ground of all nature.” This is the hypothesis developed in the course of the lectures delivered by Professor Schurmann last year before the Andover Theological Seminary on the Winkley foundation, that form the contents of the present volume. The theism embodied in that hypothesis is called by the author _anthropocosmic_, because, while it is based on the facts of the universe and those of human nature, the universe must be interpreted in the terms of man, and not man in the terms of the universe. The key to the universe is the self-conscious spirituality which makes us selves and persons. Hence anthropocosmic theism is the doctrine of a Supreme Being “who is ground both of nature and of man, but whose essence is not natural but spiritual.”