In 1911 Bertrand Russell began a historically formative interchange about the nature of logic and cognition with his student, Ludwig Wittgenstein. In 1913, Russell set to work on a manuscript, the Theory of Knowledge, designed to move from the analysis of perception to judgment and on to knowledge of the world. After Wittgenstein interrupted Russells daily writing with a series of objections to his doctrine of judgment and conception of logic, Russell abandoned his project in despair, leaving it unfinished. His subsequent work can be understood largely as an attempt to assimilate and respond to Wittgensteins challenge in 1913. Russell and Wittgenstein on the Nature of Judgement is the first book-length treatment of Russells decisive 1913 exchanges with Wittgenstein. Rosalind Carey incorporates little-known notes and diagrams into a new analysis of the problems Russell was facing. She also evaluates the numerous interpretations of Russells positions and Wittgensteins objections to them. The result is a new perspective on both these great thinkers, at a crucial point in the development of twentieth-century philosophy.