Корично изображение Електронна книга

One hundred years of Russell's paradox : mathematics, logic, philosophy /

Други автори: Link, Godehard.
Формат: Електронна книга
Език: English
Публикувано: Berlin ; New York : Walter de Gruyter, ℗♭2004.
Серия: De Gruyter series in logic and its applications ; 6.
Предмети:
Онлайн достъп: http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=174371
Подобни документи: Print version:: One hundred years of Russell's paradox.
Съдържание:
  • 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 Ja˜ger,
  • 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 Hu˜rter
  • 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 Rodriguez-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 Go˜ttingen /
  • 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.