Russell's Hidden Substitutional Theory

Oxford University Press (1998)
Abstract
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 The heart of Landini's book is a careful analysis of Russell's largely unpublished "substitutional" theory.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.
Keywords Proposition (Logic History  Logic, Symbolic and mathematical History
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Call number B1649.R94.L36 1998
ISBN(s) 0195116836   9780195116830
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Eric Thomas Updike (2012). Abstraction in Fitch's Basic Logic. History and Philosophy of Logic 33 (3):215-243.

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