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is a careful analysis of Russell's largely unpublished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.
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