The Birth of Model Theory : Löwenheim's Theorem in the Frame of the Theory of Relatives

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Löwenheim's theorem reflects a critical point in the history of mathematical logic, for it marks the birth of model theory--that is, the part of logic that concerns the relationship between formal theories and their models. However, while the original proofs of other, comparably significant th...

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Detalles Bibliográficos
Autor principal: Badesa, Calixto
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton : Princeton University Press, 2008.
Colección:Book collections on Project MUSE.
Temas:
Löwenheim, Leopold, > 1878-1957
Löwenheim, Leopold, > 1878-1957.
Model theory.
Logic, Symbolic and mathematical.
MATHEMATICS > General.
Theorie des modeles.
Logique symbolique et mathematique.
Electronic books.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Preface; Chapter 1. Algebra of Classes and Propositional Calculus; Chapter 2. The Theory of Relatives; Chapter 3. Changing the Order of Quantifiers; Chapter 4. The Loewenheim Normal Form; Chapter 5. Preliminaries to Loewenheim's Theorem; Chapter 6. Loewenheim's Theorem; Appendix. First-Order Logic with Fleeing Indices; A.1 Introduction; A.2 Syntax; A.3 Semantics; A.4 The Loewenheim normal form; A.5 Loewenheim's theorem; References; Index.

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