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Sinossi
Although this is an introductory text on proof theory, most of its contents is not found in a unified form elsewhere in the literature, except at a very advanced level. The heart of the book is the ordinal analysis of axiom systems, with particular emphasis on that of the impredicative theory of elementary inductive definitions on the natural numbers. The "constructive" consequences of ordinal analysis are sketched out in the epilogue. The book provides a self-contained treatment assuming no prior knowledge of proof theory and almost none of logic. The author has, moreover, endeavoured not to use the "cabal language" of proof theory, but only a language familiar to most readers.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
Ordinal Analysis of Pure Number Theory.- The autonomous ordinal of the infinitary system Z? and the limits of predicativity.- Ordinal analysis of the formal theory for noniterated inductive definitions.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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Proof Theory: An Introduction (Lecture Notes in Mathematics, 1407)
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Proof Theory: An Introduction (Lecture Notes in Mathematics, 1407)
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Proof Theory
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Although this is an introductory text on proof theory, most of its contents is not found in a unified form elsewhere in the literature, except at a very advanced level. The heart of the book is the ordinal analysis of axiom systems, with particular emphasis on that of the impredicative theory of elementary inductive definitions on the natural numbers. The 'constructive' consequences of ordinal analysis are sketched out in the epilogue. The book provides a self-contained treatment assuming no prior knowledge of proof theory and almost none of logic. The author has, moreover, endeavoured not to use the 'cabal language' of proof theory, but only a language familiar to most readers. 228 pp. Englisch. Codice articolo 9783540518426
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Proof Theory : An Introduction
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - Although this is an introductory text on proof theory, most of its contents is not found in a unified form elsewhere in the literature, except at a very advanced level. The heart of the book is the ordinal analysis of axiom systems, with particular emphasis on that of the impredicative theory of elementary inductive definitions on the natural numbers. The 'constructive' consequences of ordinal analysis are sketched out in the epilogue. The book provides a self-contained treatment assuming no prior knowledge of proof theory and almost none of logic. The author has, moreover, endeavoured not to use the 'cabal language' of proof theory, but only a language familiar to most readers. Codice articolo 9783540518426
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Ordinal Analysis of Pure Number Theory.- The autonomous ordinal of the infinitary system Z? and the limits of predicativity.- Ordinal analysis of the formal theory for noniterated inductive definitions.Although this is an introductory text on proof . Codice articolo 4892156
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Proof Theory
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Springer, Springer Vieweg Okt 1989, 1989
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Although this is an introductory text on proof theory, most of its contents is not found in a unified form elsewhere in the literature, except at a very advanced level. The heart of the book is the ordinal analysis of axiom systems, with particular emphasis on that of the impredicative theory of elementary inductive definitions on the natural numbers. The 'constructive' consequences of ordinal analysis are sketched out in the epilogue. The book provides a self-contained treatment assuming no prior knowledge of proof theory and almost none of logic. The author has, moreover, endeavoured not to use the 'cabal language' of proof theory, but only a language familiar to most readers.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 228 pp. Englisch. Codice articolo 9783540518426
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Proof Theory: An Introduction (Lecture Notes in Computer Science)
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Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1996
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