Sets and Extensions in the Twentieth Century

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Overview

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

  • Serves as a singular contribution to the intellectual history of the 20th century
  • Contains the latest scholarly discoveries and interpretative insights
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Product Details

Meet the Author

Dov M. Gabbay is Augustus De Morgan Professor Emeritus of Logic at the Group of Logic, Language and Computation, Department of Computer Science, King's College London. He has authored over four hundred and fifty research papers and over thirty research monographs. He is editor of several international Journals, and many reference works and Handbooks of Logic.

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Table of 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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