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One hundred years of Russell's paradox [electronic resource] : mathematics, logic, philosophy / editor, Godehard Link.

Contributor(s): Link, Godehard.
Material type: TextTextSeries: De Gruyter series in logic and its applications: 6.Publisher: Berlin ; New York : Walter de Gruyter, c2004Description: 1 online resource (ix, 662 p.).ISBN: 9783110199680 (electronic bk.); 3110199688 (electronic bk.).Other title: 100 years of Russell's paradox.Subject(s): Paradox | Liar paradox | PHILOSOPHY -- Logic | Paradoxen | Wiskundige logicaGenre/Form: Electronic books.Additional physical formats: Print version:: One hundred years of Russell's paradox.DDC classification: 165 Other classification: 08.33 Online resources: EBSCOhost
Contents:
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 J�ager, 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 H�urter -- 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 Rodr�iguez-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 G�ottingen / 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.
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Includes bibliographical references and indexes.

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 J�ager, 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 H�urter -- 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 Rodr�iguez-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 G�ottingen / 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.

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