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Russell's Hidden Substitutional Theory - Gregory Landini

Russell's Hidden Substitutional Theory

By: Gregory Landini

Hardcover | 1 June 1998

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This book explores an important central thread that unifies Russell's thoughts on logic in two works previously considered at odds with each other, the Principles of Mathematics and the later Principia Mathematica. This thread is Russell's doctrine that logic is an absolutely general science and that any calculus for it must embrace wholly unrestricted variables. The heart of Landini's book is a careful analysis of Russell's largely unpublished "substitutional" theory. On Landini's showing, the substitutional theory reveals the unity of Russell's philosophy of logic and offers new avenues for a genuine solution of the paradoxes plaguing Logicism.
Industry Reviews
"This book is a pioneering effort that the reviewer hopes will stimulate more research into Russell's logical manuscripts."--The Journal of Symbolic Logic "...Landini's book...supplies a valuable and convincing picture of how Russell hoped the theory of incomplete symbols might show the way to a philosophically defensible solution to the paradoxes...Landini's work is a significant contribution to Russell scholarship. It reveals with clarity the fecundity and coherence of Russell's early work in logic."--The British Journal for the Philosophy of Science

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