RUSSELL'S MATHEMATICAL LOGIC IN PRINCIPLES OF MATHEMATICS

Book that marks the beginning of Russell's logicist project, Principles of Mathematics is a true cornucopia of new ideas in Logic, Mathematics and the analysis of language that will give rise to Analytical Philosophy. Although the logicist project did not survive its difficulties (mainly the problem of paradox and later Godel's theorem), the project greatly developed Logic, adding to it the set theory and the theory of relations, both formalized in symbolic language; still, it is in dealing with the difficulties of the project that Russell develops his theory of denotation (outlined in this book and completed in the 1905 article), which gives rise to Analytical Philosophy. In this article we discuss the formulation of Russell's tripartite logic in his first version.