Published by Cambridge University Press, 2010
ISBN 10: 0521150140 ISBN 13: 9780521150149
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Published by Cambridge University Press, 2010
ISBN 10: 0521150140 ISBN 13: 9780521150149
Language: English
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Published by Cambridge University Press, 2010
ISBN 10: 0521150140 ISBN 13: 9780521150149
Language: English
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Published by Cambridge University Press, 2010
ISBN 10: 0521150140 ISBN 13: 9780521150149
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Published by Cambridge, Cambridge University Press; Association for Symbolic Logic, 2010
ISBN 10: 052188439X ISBN 13: 9780521884396
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Add to basketHardcover. 2nd edition, digitally printed version. XVI, 444 S. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. D03623 9780521884396 Sprache: Englisch Gewicht in Gramm: 550.
Published by Cambridge University Press, Cambridge, 2010
ISBN 10: 0521150140 ISBN 13: 9780521150149
Language: English
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Paperback. Condition: 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.
Published by Cambridge University Press, 2010
ISBN 10: 0521150140 ISBN 13: 9780521150149
Language: English
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Published by Cambridge University Press 2010-02-18, 2010
ISBN 10: 0521150140 ISBN 13: 9780521150149
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Published by Cambridge University Press CUP, 2010
ISBN 10: 0521150140 ISBN 13: 9780521150149
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Published by Cambridge University Press, Cambridge, 2010
ISBN 10: 0521150140 ISBN 13: 9780521150149
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Add to basketPaperback. Condition: 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.
Published by Cambridge University Press, 2010
ISBN 10: 0521150140 ISBN 13: 9780521150149
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Published by Cambridge University Press, Cambridge, 2010
ISBN 10: 0521150140 ISBN 13: 9780521150149
Language: English
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Add to basketPaperback. Condition: 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 Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
Published by Cambridge University Press, 2010
ISBN 10: 0521150140 ISBN 13: 9780521150149
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Published by Cambridge University Press, 2009
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Published by Cambridge University Press, 2010
ISBN 10: 0521150140 ISBN 13: 9780521150149
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Add to basketTaschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Through a series of case studies, this volume examines these axioms to prove particular theorems in core mathematical areas.
Published by Cambridge University Press, 2009
ISBN 10: 052188439X ISBN 13: 9780521884396
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Published by Cambridge University Press, 2009
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Published by Cambridge University Press, Cambridge, 2009
ISBN 10: 052188439X ISBN 13: 9780521884396
Language: English
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Hardcover. Condition: new. Hardcover. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
Published by Cambridge University Press, Cambridge, 2009
ISBN 10: 052188439X ISBN 13: 9780521884396
Language: English
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Add to basketHardcover. Condition: new. Hardcover. 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. 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. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.
Published by Cambridge University Press, 2009
ISBN 10: 052188439X ISBN 13: 9780521884396
Language: English
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Published by Cambridge University Press, Cambridge, 2009
ISBN 10: 052188439X ISBN 13: 9780521884396
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Add to basketHardcover. Condition: new. Hardcover. 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. 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
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Add to basketHardcover. Condition: Brand New. 2nd edition. 460 pages. 9.10x6.30x1.20 inches. In Stock.
Published by Cambridge University Press, 2009
ISBN 10: 052188439X ISBN 13: 9780521884396
Language: English
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Add to basketBuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This volumes examines these appropriate axioms for mathematics to prove particular theorems in core areas.