The object of this thesis is to consider the method to which reference is made by Bertrand Russell in The Lowell Lectures. Russell himself does not make clear the exact nature of the Logico-Analytic method. A study has therefore been made of Russell's earlier work in relation to that of Professor G.E. Moore. It is seen that Russell derived a certain theory of propositions from Moore. No doubt Russell was greatly influenced by Frege and Meinong but in this thesis it is his relation to Moore that has been considered. Certain difficulties entailed by the acceptance of this theory of propositions, led Russell to formulate the Theory of Descriptions, and the multiple relation theory of Judgment. The study of both of these theories, and the consi...