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Aspects of Incompleteness /

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. In this volume, the tenth publ...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Lindstrom, Per
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Cambridge University Press, 2017.
Colección:Lecture notes in logic ; 10.
Temas:
Acceso en línea:Texto completo

MARC

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520 8 |a 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. In this volume, the tenth publication in the 'Lecture Notes in Logic' series, Per Lindstrom presents some of the main topics and results in general metamathematics. In addition to standard results of Godel et al. on incompleteness, (non- )finite axiomatizability, and interpretability, this book contains a thorough treatment of partial conservativity and degrees of interpretability. It comes complete with exercises, and will be useful as a textbook for graduate students with a background in logic, as well as a valuable resource for researchers. 
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505 0 |a Preliminaries -- Incompleteness -- Numerations of r.e. sets -- Axiomatizations -- Partial conservativity -- Interpretability -- Degrees of interpretabilty -- Generalizations. 
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880 8 |6 505-00/(S  |a 2. Irredundant axiomatizabilityNotes for Chapter 4; 5. Partial conservativity; Exercises for Chapter 5; Notes for Chapter 5; 6. Interpretability; 1. Interpretability; 2. Faithful interpretability; Exercises for Chapter 6; Notes for Chapter 6; 7. Degrees of interpretabilty; 1. Algebraic properties; 2. A classification of degrees; 3. Σ[sub(I)] and Π[sub(1)] degrees; Exercises for Chapter 7; Notes for Chapter 7; 8. Generalizations; 1. Incompleteness; 2. Axiomatizations; 3. Interpretability; Notes for Chapter 8; REFERENCES; INDEX; NOTATION. 
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