ENGLISH

Russell's Metaphysical Logic

By Bernard Linsky

Book information

Publisher
‎ Center for the Study of Language and Information
Year
1999
ISBN
1575862093, 1575862107, 1575869578
Language
english
Format
PDF
Filesize
2 MB (2428831 bytes)
Pages
176\160
Time added
2024-08-07 10:37:38

Description

This study reconciles distinct aspects of Russell's thought long thought to be incompatible, the metaphysics of universals and facts from Russell's Logical Atomism period and the philosophical justification of the ramified theory of types in the Introduction to Principia Mathematica. This account, which interprets Russell as being a realist about both universals and propositional functions, while distinguishing the two, provides a defense of some problematic features of the logic of PM including the Axiom of Reducibility and the Vicious Circle Principle. Russell's seemingly ambivalent attitude towards propositions and functions is explained by interpreting both with a broadened notion of logical construction. Contrary to other recent interpretations, this account follows Alonzo Church's technical formulation of the ramified theory of types and interprets the quantifiers as objectual, ranging over functions as entities, while being consistent with the 'multiple relation' theory of judgment.

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