| Edition |
1st ed. |
| Description |
1 online resource (volumes) : illustrations |
|
text txt rdacontent |
|
computer c rdamedia |
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online resource cr rdacarrier |
| 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 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 centuryContains the latest scholarly discoveries and interpretative insights. |
| 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. |
| Bibliography |
Includes bibliographical references and index. |
| Subject |
Logic -- History.
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Logique -- Histoire.
|
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Logic
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Logik
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Logica.
|
| Genre/Form |
Handbook |
|
handbooks.
|
|
Handbooks and manuals
|
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History
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Handbooks and manuals.
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Guides et manuels.
|
| Added Author |
Kanamori, Akihiro.
|
|
Gabbay, Dov M., 1945-
|
|
Woods, John (John Hayden)
|
| Added Title |
Sets and extensions in the Twentieth Century |
| ISBN |
9780444516213 (electronic bk.) |
|
0444516212 (electronic bk.) |
| Standard No. |
AU@ 000049569022 |
|
CHNEW 001010532 |
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DEBBG BV042310458 |
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DEBSZ 405341814 |
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NZ1 15192378 |
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