TY - BOOK AU - Friedman,Harvey M. AU - Feferman,Solomon AU - Link,Godehard AU - Field,Hartry AU - Friedman,Sy-David AU - Griffin,Nicholas AU - Hauser,Kai AU - Bell,John L. AU - Blau,Ulrich AU - Cantini,Andrea TI - One Hundred Years of Russell's Paradox: Mathematics, Logic, Philosophy T2 - De Gruyter Series in Logic and Its Applications Ser. SN - 9783110199680 AV - BC199.P2O54 2004 U1 - 165 PY - 2004/// CY - Berlin/Boston PB - De Gruyter, Inc. KW - Liar paradox KW - Paradox KW - Electronic books N1 - Intro -- Preface -- Table of Contents -- Introduction. Bertrand Russell-The Invention of Mathematical Philosophy -- Set Theory after Russell: The Journey Back to Eden -- AWay Out -- Completeness and Iteration in Modern Set Theory -- Iterating -- Operations in Admissible Set Theory without Foundation: A Further Aspect of Metapredicative Mahlo -- Typical Ambiguity: Trying to Have Your Cake and Eat It Too -- Is ZF Finitistically Reducible? -- Inconsistency in the RealWorld -- Predicativity, Circularity, and Anti-Foundation -- Russell's Paradox and Diagonalization in a Constructive Context -- Constructive Solutions of Continuous Equations -- Russell's Paradox in Consistent Fragments of Frege's Grundgesetze der Arithmetik -- On a Russellian Paradox about Propositions and Truth -- The Consistency of the Naive Theory of Properties -- The Significance of the Largest and Smallest Numbers for the Oldest Paradoxes -- The Prehistory of Russell's Paradox -- Logicism's 'Insolubilia' and Their Solution by Russell's Substitutional Theory -- Substitution and Types: Russell's Intermediate Theory -- Propositional Ontology and Logical Atomism -- Classes of Classes and Classes of Functions in -- A "Constructive" Proper Extension of Ramified Type Theory (The Logic of Principia Mathematica, Second Edition, Appendix B) -- Russell on Method -- Paradoxes in Göttingen -- David Hilbert and Paul du Bois-Reymond: Limits and Ideals -- Russell's Paradox and Hilbert's (much Forgotten) View of Set Theory -- Objectivity: The Justification for Extrapolation -- Russell's Absolutism vs. (?) Structuralism -- Mathematicians and Mathematical Objects -- Russell's Paradox and Our Conception of Properties, or: Why Semantics Is no Proper Guide to the Nature of Properties -- The Many Lives of EbenezerWilkes Smith -- What Makes Expressions Meaningful? A Reflection on Contexts and Actions; List of Contributors N2 - The series is devoted to the publication of high-level monographs on all areas of mathematical logic and its applications. It is addressed to advanced students and research mathematicians, and may also serve as a guide for lectures and for seminars at the graduate level UR - https://ebookcentral.proquest.com/lib/buse-ebooks/detail.action?docID=280147 ER -