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Sinopsis
This much-needed monograph on the metamathematics of first-order arithmetic pays particular attention to subsystems (fragments) of Peano arithmetic and gives the reader a deeper understanding of the role of the axiom schema of induction and of the phenomenon of incompleteness.
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Críticas
'... a very important contribution to the logical literature. It gives a survey of an incredible number of results and methods in the foundations of arithmetic, presented in a clear and systematic way. It will certainly be highly appreciated by specialists working in the field.' Roman Murawski, Mathematical Reviews
'... really a highly interesting book - a survey of a large amount of results presented in a systematic and clear way. It will serve as a source of information for those who want to learn metamathematics of first-order arithmetic as well as a reference book for people working in this field.' Zentralblatt fύr Mathematϊk und ihre Grenzgebiete
Reseña del editor
Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the third publication in the Perspectives in Logic series, is a much-needed monograph on the metamathematics of first-order arithmetic. The authors pay particular attention to subsystems (fragments) of Peano arithmetic and give the reader a deeper understanding of the role of the axiom schema of induction and of the phenomenon of incompleteness. The reader is only assumed to know the basics of mathematical logic, which are reviewed in the preliminaries. Part I develops parts of mathematics and logic in various fragments. Part II is devoted to incompleteness. Finally, Part III studies systems that have the induction schema restricted to bounded formulas (bounded arithmetic).
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- EditorialCambridge University Press
- Año de publicación2017
- ISBN 10 1107168414
- ISBN 13 9781107168411
- EncuadernaciónTapa dura
- IdiomaInglés
- Número de páginas474
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Metamathematics of First-Order Arithmetic (Perspectives in Logic, Series Number 3)
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Cambridge University Press (edition 1), 2017
ISBN 10: 1107168414
ISBN 13: 9781107168411
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Metamathematics of First-Order Arithmetic (Perspectives in Logic, Series Number 3)
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Cambridge University Press, 2017
ISBN 10: 1107168414
ISBN 13: 9781107168411
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Metamathematics of First-Order Arithmetic (Perspectives in Logic, Series Number 3)
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ISBN 10: 1107168414
ISBN 13: 9781107168411
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Metamathematics of First-Order Arithmetic (Perspectives in Logic, Series Number 3)
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Cambridge University Press, 2017
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ISBN 13: 9781107168411
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Metamathematics of First-order Arithmetic (Hardcover)
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Cambridge University Press, Cambridge, 2017
ISBN 10: 1107168414
ISBN 13: 9781107168411
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Hardcover. Condición: new. Hardcover. Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the third publication in the Perspectives in Logic series, is a much-needed monograph on the metamathematics of first-order arithmetic. The authors pay particular attention to subsystems (fragments) of Peano arithmetic and give the reader a deeper understanding of the role of the axiom schema of induction and of the phenomenon of incompleteness. The reader is only assumed to know the basics of mathematical logic, which are reviewed in the preliminaries. Part I develops parts of mathematics and logic in various fragments. Part II is devoted to incompleteness. Finally, Part III studies systems that have the induction schema restricted to bounded formulas (bounded arithmetic). This much-needed monograph on the metamathematics of first-order arithmetic pays particular attention to subsystems (fragments) of Peano arithmetic and gives the reader a deeper understanding of the role of the axiom schema of induction and of the phenomenon of incompleteness. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Nº de ref. del artículo: 9781107168411
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Metamathematics of First-Order Arithmetic
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ISBN 10: 1107168414
ISBN 13: 9781107168411
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This much-needed monograph on the metamathematics of first-order arithmetic pays particular attention to subsystems (fragments) of Peano arithmetic and gives the reader a deeper understanding of the role of the axiom schema of induction and of the phenomeno. Nº de ref. del artículo: 447216794
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Metamathematics of First-Order Arithmetic
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - From the reviews: .'This work is a very important contribution to the logical literature. It gives a survey of an incredible number of results and methods in the foundations of arithmetic, presented in a clear and systematic way. It will certainly be highly appreciated by specialists working in the field.' 'Mathematical Reviews, ' USA 1994 .'It is really a highly interesting book - a survey of a large amount of results presented in a systematic and clear way. It will serve as a source of information for those who want to learn meta-mathematics of first-order arithmetic as well as a reference book for people working in this field.' 'Zentralblatt fur Mathematik und Ihre Grenzgebiete,' 781.1994.'. Nº de ref. del artículo: 9781107168411
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Metamathematics of First-Order Arithmetic
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ISBN 13: 9781107168411
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Hardcover. Condición: new. Hardcover. Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the third publication in the Perspectives in Logic series, is a much-needed monograph on the metamathematics of first-order arithmetic. The authors pay particular attention to subsystems (fragments) of Peano arithmetic and give the reader a deeper understanding of the role of the axiom schema of induction and of the phenomenon of incompleteness. The reader is only assumed to know the basics of mathematical logic, which are reviewed in the preliminaries. Part I develops parts of mathematics and logic in various fragments. Part II is devoted to incompleteness. Finally, Part III studies systems that have the induction schema restricted to bounded formulas (bounded arithmetic). This much-needed monograph on the metamathematics of first-order arithmetic pays particular attention to subsystems (fragments) of Peano arithmetic and gives the reader a deeper understanding of the role of the axiom schema of induction and of the phenomenon of incompleteness. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Nº de ref. del artículo: 9781107168411
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