Read at the Sixty-sixth Annual Meeting of the Western Division of the American Philosophical Association at St. Louis, Missouri, May 3, 1968. Some of the crucial thinking in this paper has been much influenced by J. C. Thornton’s brilliant “Religious Belief and ‘Reductionism’,”Sophia, vol. V, No. 3 , and by his “Reductionism—A Reply to Dr. Mascall”,Sophia, vol. VI, No. 2.