One Hundred Years of Russell´s Paradox : : Mathematics, Logic, Philosophy /

One Hundred Years of Russell´s Paradox : : Mathematics, Logic, Philosophy / / ed. by Godehard Link.

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Die in diesem Band zusammengefassten Beiträge stellen die wesentlichen Forschungsergebnisse der internationalen Münchner Konferenz "100 Jahre Russell-Paradoxon" im Jahr 2001 dar, auf der an die Entdeckung des berühmten Russell Paradoxons vor 100 Jahren erinnert wurde. Die 31 Beiträge und d...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014
MitwirkendeR:
Bell, John L.,
Blau, Ulrich,
Cantini, Andrea,
Feferman, Solomon,
Field, Hartry,
Friedman, Harvey M.,
Friedman, Sy D.,
Friedman, Sy-David ,
Griffin, Nicholas,
Hauser, Kai,
Hazen, Allen P.,
Hellman, Geoffrey,
Hürter, Tobias,
Irvine, Andrew D.,
Jäger, Gerhard,
Landini, Gregory,
Lavine, Shaughan,
Link, Godehard,
Linsky, Bernard,
McCarty, David Charles,
McGee, Vann,
Mycielski, Jan,
Mycielsky, Jan,
Niebergall, Karl-Georg,
Peckhaus, Volker,
Probst, Dieter,
Rathjen, Michael,
Rodriguez-Consuegra, Francisco,
Rodríguez-Consuegra, Francisco,
Rouilhan, Philippe,
Schuster, Peter,
Schwichtenberg, Helmut,
Sturm, Holger,
Thomas, Robert S. D.,
Visser, Albert,
Wehmeier, Kai F.,
Woodin, W. Hugh,
de Rouilhan, Philippe,
HerausgeberIn:
Link, Godehard,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2008]
©2004
Year of Publication:2008
Language:English
Series:De Gruyter Series in Logic and Its Applications , 6
Online Access:
Physical Description:1 online resource (662 p.)
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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

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