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SynopsisRussell's classic The Principles of Mathematics sets forth his landmark thesis that mathematics and logic are identical--that what is commonly called mathematics is simply later deductions from logical premises., His ideas have had a profound influence on twentieth-century work on logic and the foundations of mathematics., Russell's classic The Principles of Mathematics sets forth his landmark thesis that mathematics and logic are identical-that what is commonly called mathematics is simply later deductions from logical premises. His ideas have had a profound influence on twentieth-century work on logic and the foundations of mathematics.