History and Philosophy of Logic 8 (2):171-200 (1987)
|Abstract||This paper examines Russell's substitutional theory of classes and relations, and its influence on the development of the theory of logical types between the years 1906 and the publication of Principia Mathematica (volume I) in 1910. The substitutional theory proves to have been much more influential on Russell's writings than has been hitherto thought. After a brief introduction, the paper traces Russell's published works on type-theory up to Principia. Each is interpreted as presenting a version or modification of the substitutional theory. New motivations for Russell's 1908 axiom of infinity and axiom of reducibility are revealed|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
Douglas P. Lackey (1976). Russell's Unknown Theory of Classes: The Substitutional System of 1906. Journal of the History of Philosophy 14 (1):69-78.
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.
Francisco A. Rodriguez Consuegra (1989). Russell's Theory of Types, 1901–1910: Its Complex Origins in the Unpublished Manuscripts. History and Philosophy of Logic 10 (2):131-164.
M. Byrd (2000). Review. Russell's Hidden Substitutional Theory. G Landini. British Journal for the Philosophy of Science 51 (2):357-362.
Brice Halimi (2011). The Versatility of Universality inPrincipia Mathematica. History and Philosophy of Logic 32 (3):241-264.
Peter Hylton (1980). Russell's Substitutional Theory. Synthese 45 (1):1 - 31.
Scott Soames (2008). No Class: Russell on Contextual Definition and the Elimination of Sets. Philosophical Studies 139 (2):213 - 218.
Gregory Landini (1998). Russell's Hidden Substitutional Theory. Oxford University Press.
Added to index2010-08-10
Total downloads4 ( #188,845 of 722,836 )
Recent downloads (6 months)1 ( #60,541 of 722,836 )
How can I increase my downloads?