One Hundred Years of Russell´s Paradox
Mathematics, Logic, Philosophy
Ed. by Link, Godehard
With contrib. by Bell, John L. / Blau, Ulrich / Cantini, Andrea / Feferman, Solomon / Field, Hartry / Friedman, Harvey M. / Friedman, Sy-David / Griffin, Nicholas / Hauser, Kai / Hazen, Allen P. / Hellman, Geoffrey / Hürter, Tobias / Irvine, Andrew D. / Jäger, Gerhard / Landini, Gregory / Lavine, Shaughan / Linsky, Bernard / McCarty, David Charles / McGee, Vann / Mycielsky, Jan / Niebergall, Karl-Georg / Peckhaus, Volker / Probst, Dieter / Rathjen, Michael / Rodriguez-Consuegra, Francisco / de Rouilhan, Philippe / Schuster, Peter / Schwichtenberg, Helmut / Sturm, Holger / Thomas, Robert S. D. / Visser, Albert / Wehmeier, Kai F. / Woodin, W. Hugh
Series:De Gruyter Series in Logic and Its Applications 6
Table of Contents
- Frontmatter
- Table of Contents
- Introduction. Bertrand Russell—The Invention of Mathematical Philosophy
- Set Theory after Russell: The Journey Back to Eden
- A Way Out
- Completeness and Iteration in Modern Set Theory
- Was sind und was sollen (neue) Axiome?
- Iterating Σ 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 Real World
- 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 Principia Mathematica
- 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 Ebenezer Wilkes Smith
- What Makes Expressions Meaningful? A Reflection on Contexts and Actions
- Backmatter
Russell’s Absolutism vs. (?) Structuralism
Hellman, Geoffrey
Citation Information
One Hundred Years of Russell´s Paradox
Mathematics, Logic, Philosophy
Edited by Link, Godehard
Walter de Gruyter
2004
Pages: 561-576
eBook ISBN: 9783110199680
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