Models of Peano Arithmetic

Gebonden Engels 1991 9780198532132
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An introduction to the developments of nonstandard models. Beginning with Godel's incompleteness theorem, it covers the prime models, cofinal extensions, and extensions, Gaifman's construction of a definable type, Tennenbaum's theorem and Friedman's theorem on indicators, ending with a chapter on recursive saturation and resplendency.

Specificaties

ISBN13:9780198532132
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:302

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Inhoudsopgave

Preface; Background; The standard model; Discretely ordered rings; Gödel incompleteness; The axioms of Peano arithmetic; Some number theory in Peano arithmetic; Models of Peano arithmetic; Collection; Prime models; Satisfaction; Subsystems of Peano arithmetic; Saturation; Initial segments; The standard system; Indicators; Recursive saturation; Suggestions for further reading; Bibliography; Index.

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          Models of Peano Arithmetic