One hundred years of Russell's paradox : mathematics, logic, philosophy / editor, Godehard Link.
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Full Text (via ProQuest) |
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| Other title: | 100 years of Russell's paradox. |
| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Walter de Gruyter,
©2004.
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| Series: | De Gruyter series in logic and its applications ;
6. |
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Table of Contents:
- Introduction: Bertrand Russell
- the invention of mathematical philosophy / Godehard Link
- Set theory after Russell: the journey back to Eden / W. Hugh Woodin
- A way out / Harvey M. Friedman
- Completeness and iteration in modern set theory / Sy D. Friedman
- Was sind und was sollen (neue) Axiome? / Kai Hauser
- Iterating [sigma] operations in admissible set theory without foundation: a further aspect of metapredicative Mahlo / Gerhard Jäger, Dieter Probst
- Typical ambiquity: trying to have your cake and eat it too / Solomon Feferman
- Is ZF finitistically reducible? / Karl-Georg Niebergall
- Inconsistency in the real world / Tobias Hürter
- Predicativity, circularity, and anti-foundation / Michael Rathjen
- Russell's paradox and diagonalization in a constructive context / John L. Bell
- Constructive solutions of continuous equations / Peter Schuster, Helmut Schwichtenberg
- Russell's paradox in consistent fragments of Frege's Grundgesetze der Arithmetik / Kai F. Wehmeier
- On a Russellian paradox about propositions and truth / Andrea Cantini
- The consistency of the naive theory of properties / Hartry Field
- The significance of the largest and smallest numbers for the oldest paradoxes / Ulrich Blau
- The prehistory of Russell's paradox / Nicholas Griffin
- Logicism's 'insolubilia' and their solution by Russell's substitutional theory / Gregory Landini
- Substitution and types: Russell's intermediate theory / Philippe de Rouilhan
- Propositional ontology and logical atomism / Francisco Rodríguez-Consuegra
- Classes of classes and classes of functions in Principia Mathematica / Bernard Linsky
- A "constructive" proper extension of ramified type theory (the logic of Principia Mathematica, Second Edition, Appendix B) / Allen P. Hazen
- Russell on method / Andrew D. Irvine
- Paradoxes in Göttingen / Volker Peckhaus
- David Hilbert and Paul du Bois-Reymond: limits and ideals / David Charles McCarty
- Russell's paradox and Hilbert's (much forgotten) view of set theory / Jan Mycielski
- Objectivity: the justification for extrapolation / Shaughan Lavine
- Russell's absolutism vs. structuralism / Geoffrey Hellman
- Mathematicians and mathematical objects / Robert S.D. Thomas
- Russell's paradox and our conception of properties, or: why semantics is no proper guide to the nature of properties / Holger Sturm
- The many lives of Ebenezer Wilkes Smith / Vann McGee
- What makes expressions meaningful? A reflection on contexts and actions / Albert Visser.