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

Key Features

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

Readership

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

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

Details

No. of pages:
880
Language:
English
Copyright:
© 2012
Published:
Imprint:
North Holland
eBook ISBN:
9780080930664
Print ISBN:
9780444516213

About the series-volume-editors

Dov M. Gabbay

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.

Affiliations and Expertise

King's College London, UK

John Woods

Affiliations and Expertise

University of British Columbia, Vancouver, Canada

Reviews

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