Sets and extensions in the twentieth century
Author(s)
Bibliographic Information
Sets and extensions in the twentieth century
（Handbook of the history of logic, v. 6）
Elsevier, 2012
1st ed
Available at / 18 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
C||Handbook-52||6200026122541
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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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