| Edition |
2nd ed. |
| Description |
1 online resource (xvi, 444 pages) : illustrations. |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Perspectives in logic
|
|
Perspectives in logic.
|
| Note |
"Association for Symbolic Logic." |
| Bibliography |
Includes bibliographical references (pages 409-424) and index. |
| Summary |
Almost all of the problems studied in this book are motivated by an overriding foundational question: What are the appropriate axioms for mathematics? Through a series of case studies, these axioms are examined to prove particular theorems in core mathematical areas such as algebra, analysis, and topology, focusing on the language of second-order arithmetic, the weakest language rich enough to express and develop the bulk of mathematics. In many cases, if a mathematical theorem is proved from appropriately weak set existence axioms, then the axioms will be logically equivalent to the theorem. Furthermore, only a few specific set existence axioms arise repeatedly in this context, which in turn correspond to classical foundational programs. This is the theme of reverse mathematics, which dominates the first half of the book. The second part focuses on models of these and other subsystems of second-order arithmetic. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Predicate calculus.
|
|
Predicate calculus. |
| Genre/Form |
Electronic books.
|
| Added Author |
Association for Symbolic Logic.
|
| Other Form: |
Print version: Simpson, Stephen G. (Stephen George), 1945- Subsystems of second order arithmetic. 2nd ed. Cambridge ; New York : Cambridge University Press, 2009 9780521884396 (DLC) 2008052364 (OCoLC)288374692 |
| ISBN |
9780511580680 (electronic book) |
|
0511580681 (electronic book) |
|
9780511579110 (ebook) |
|
051157911X (ebook) |
|
9780521884396 (hardback) |
|
052188439X (hardback) |
|
