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How does Russell's realist conception of the proposition and its
constituents inform the techniques for analysis which he adopted in
mathematics? Jolen Galaugher's book sheds light on this perplexing
issue. In this book, Galaugher provides a detailed treatment of
Russell's early conception of analysis in the light of the
philosophical doctrines to which it answered, and the demands
imposed by existing mathematics on his early logicist program. She
ties together the philosophical commitments which occasioned
Russell's break with idealism and the problems which guided his
selection of technical apparatus in his embrace of logicism. The
result is a detailed synthesis of the primary materials from the
emergence of Russell's realism in 1898 to his landmark theory of
descriptions in 1905. Galaugher's broad thesis is that although
Russell adopted increasingly refined techniques by which to carry
out his logical analyses and avoid the Contradiction, the most
crucial aspects of his philosophical conception of logical analysis
were retained.
This systematic and historical treatment of Russell's contributions to analytic philosophy, from his embrace of analysis in 1898 to his landmark theory of descriptions in 1905, draws important connections between his philosophically motivated conception of analysis and the technical apparatus he devised to facilitate analyses in mathematics
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