Sets and extensions in the twentieth century

Bibliographic Information

Sets and extensions in the twentieth century

edited by Dov M. Gabbay, Akihiro Kanamori, John Woods

(Handbook of the history of logic, v. 6)

Elsevier, 2012

1st ed

Available at  / 17 libraries

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Note

Includes bibliographical references and index

Description and Table of Contents

Description

Set theory is an autonomous and sophisticated field of mathematics that is extremely successful at analyzing mathematical propositions and gauging their consistency strength. It is as a field of mathematics that both proceeds with its own internal questions and is capable of contextualizing over a broad range, which makes set theory an intriguing and highly distinctive subject. This handbook covers the rich history of scientific turning points in set theory, providing fresh insights and points of view. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in mathematics, the history of philosophy, and any discipline such as computer science, cognitive psychology, and artificial intelligence, for whom the historical background of his or her work is a salient consideration

Table of Contents

Set Theory from Cantor to Cohen, by Akihiro Kanamori History of the Continuum in the 20th Century, by Juris Stepr-ans Infinite Combinatorics, by Jean A. Larson Large Cardinals with Forcing, by Akihiro Kanamori Inner Models for Large Cardinals, by William J. Mitchell A Brief History of Determinacy, by Paul B. Larson Singular Cardinals: From Hausdorff's Gaps to Shelah's pcf Theory, by Menachem Kojman Alternative Set Theories, by M. Randall Holmes, Thomas Forster, and Thierry Libert Types, Sets, and Categories, by John L. Bell The History of Categorical Logic: 1963-1977, by Jean-Pierre Marquis and Gonzalo E. Reyes Russell's Orders in Kripke's Theory of Truth and Computational Type Theory, by Fairouz Kamareddine, Twan Laan, and Robert Constable

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Details

  • NCID
    BB08891299
  • ISBN
    • 9780444516213
  • Country Code
    ne
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Amsterdam
  • Pages/Volumes
    xii, 865 p.
  • Size
    27 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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