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Medientyp:
Buch;
Konferenzbericht
Titel:
One hundred years of Russell's paradox
:
mathematics, logic, philosophy
Enthält:
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,
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,
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.
Anmerkungen:
Includes bibliographical references and indexes
Beschreibung:
The papers collected in this volume represent the main body of research arising from the International Munich Centenary Conference in 2001, which commemorated the discovery of the famous Russell Paradox a hundred years ago. The 31 contributions and the introductory essay by the editor were (with two exceptions) all originally written for the volume. The volume serves a twofold purpose, historical and systematic. One focus is on Bertrand Russell's logic and logical philosophy, taking into account the rich sources of the Russell Archives, many of which have become available only recently. The second equally important aim is to present original research in the broad range of foundational studies that draws on both current conceptions and recent technical advances in the above-mentioned fields. The volume contributes therefor, to the well-established body of mathematical philosophy initiated to a large extent by Russell's work