Subsystems of Second Order Arithmetic : Perspectives in Logic
Simpson, Stephen G.
ISBN 10: 0521150140 ISBN 13: 9780521150149
Editore: Cambridge University Press, 2010
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Codice articolo 8314033-n
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Through a series of case studies, this volume examines these axioms to prove particular theorems in core mathematical areas.
Descrizione del libro: What are the appropriate axioms for mathematics? Through a series of case studies, this volume examines these axioms to prove particular theorems in core areas including 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.
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Titolo: Subsystems of Second Order Arithmetic : ...
Casa editrice: Cambridge University Press
Data di pubblicazione: 2010
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Subsystems of Second Order Arithmetic (Perspectives in Logic)
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Cambridge University Press, 2010
ISBN 10: 0521150140
ISBN 13: 9780521150149
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Subsystems of Second Order Arithmetic (Perspectives in Logic)
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Subsystems of Second Order Arithmetic: Second Edition (Perspectives in Logic)
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ISBN 10: 0521150140
ISBN 13: 9780521150149
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Subsystems of Second Order Arithmetic: Perspectives in Logic
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ISBN 10: 0521150140
ISBN 13: 9780521150149
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Subsystems of Second Order Arithmetic
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Cambridge University Press, 2010
ISBN 10: 0521150140
ISBN 13: 9780521150149
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Subsystems of Second Order Arithmetic (Paperback)
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ISBN 10: 0521150140
ISBN 13: 9780521150149
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Paperback. Condizione: new. Paperback. 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. Through a series of case studies, this volume examines these axioms to prove particular theorems in core mathematical areas. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Codice articolo 9780521150149
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Subsystems of Second Order Arithmetic (Paperback)
Editore:
Cambridge University Press, Cambridge, 2010
ISBN 10: 0521150140
ISBN 13: 9780521150149
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Da: Grand Eagle Retail, Mason, OH, U.S.A.
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Paperback. Condizione: new. Paperback. 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. Through a series of case studies, this volume examines these axioms to prove particular theorems in core mathematical areas. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9780521150149
Quantità: 1 disponibili