Handbook of the history of logic. Volume 6, 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 b...
Saved in:
Corporate Authors: | |
---|---|
Group Author: | ; ; |
Published: |
Elsevier,
|
Publisher Address: | Amsterdam ; Boston : |
Publication Dates: | 2012. |
Literature type: | eBook |
Language: | English |
Edition: | First edition. |
Subjects: | |
Online Access: |
http://www.sciencedirect.com/science/handbooks/18745857/6 |
Summary: |
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 |
Carrier Form: | 1 online resource (xii, 865 pages) : illustrations |
Bibliography: | Includes bibliographical references and index. |
ISBN: |
9780444516213 0444516212 |
Index Number: | BC15 |
CLC: | B81-09 |
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: |