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 The heart of Landini's book is a careful analysis of Russell's largely unpublished "substitutional" theory.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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| Buy the book | $164.99 new $164.99 direct from Amazon Amazon page | |||||||||
| Call number | B1649.R94.L36 1998 | |||||||||
| ISBN(s) | 0195116836 9780195116830 | |||||||||
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Bernard Linsky (2011). The Evolution of Principia Mathematica: Bertrand Russell's Manuscripts and Notes for the Second Edition. Cambridge University Press.
Peter Milne (2008). Russell's Completeness Proof. History and Philosophy of Logic 29 (1):31-62.
Michael Kremer (2008). Soames on Russell's Logic: A Reply. Philosophical Studies 139 (2):209 - 212.
Xu Yibao (2003). Bertrand Russell and the Introduction of Mathematical Logic in China. History and Philosophy of Logic 24 (3):181-196.
Gregory Landini (2005). Quantification Theory in *8 ofPrincipia Mathematicaand the Empty Domain. History and Philosophy of Logic 26 (1):47-59.
Gregory Landini (1991). A New Interpretation of Russell's Multiple-Relation Theory of Judgment. History and Philosophy of Logic 12 (1):37-69.
M. Byrd (2000). Review. Russell's Hidden Substitutional Theory. G Landini. British Journal for the Philosophy of Science 51 (2):357-362.
Gregory Landini (1987). Russell's Substitutional Theory of Classes and Relations. History and Philosophy of Logic 8 (2):171-200.
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