Abstract

This book is essential for those interested in Russell, or in the philosophy of logic and mathematics. Only two of the fifteen selections are readily available elsewhere: "On Denoting" and "Mr Strawson on Referring." Amazingly, three substantial selections have never been published previously: "On the Substitutional Theory of Classes and Relations," "The Regressive Method of Discovering the Premisses of Mathematics," and "Is Mathematics Purely Linguistic?". Three other papers have appeared previously only in French : one of these is a better introduction to the theory of types than the classic "Mathematical Logic as based on the Theory of Types." Finally, of the five remaining papers, which are not easily available, three are commentaries on Meinong, one is a note on the axiom of infinity, and the most substantial piece is a discussion of three notions of sets—in effect, Zermelo-Frankel, New Foundations, and Russell’s own "no-classes" theory, which required a theory of types applied to propositional functions. What is striking throughout these essays—all but one from the first decade of the century-is Russell’s persistent sympathy with some sort of realism in foundation theory, and his perception that the theory of definite descriptions, the "no-classes" proposals, and the theory of types, were very closely interrelated. Also included are three bibliographies. The chronological bibliography includes several still unpublished mss in the McMaster University Russell Archives.—J.L.