Sets and Extensions in the Twentieth Century book cover

Sets and Extensions in the Twentieth Century

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

Audience

Researchers and graduate students in all areas of logic: Historians of logic, cognitive psychologists, computer scientists, mathematicians

Hardbound, 880 Pages

Published: January 2012

Imprint: North-holland

ISBN: 978-0-444-51621-3

Contents

  • Set Theory from Cantor to Cohen, by Akihiro Kanamori
    History of the Continuum in the 20th Century, by Juris Steprans
    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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