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Models of Peano arithmetic

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Author(s): Kaye Richard
Series: Oxford logic guides 15
Publisher: Oxford University Press
Year: 1991

Language: English
Pages: 302
City: Clarendon
Tags: Logic, Symbolic and mathematical.;Mathematical logic

Content: Preface
Background
The standard model
Discretely ordered rings
Goedel 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.