The Birth of model theory : Lowenheim'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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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Badesa, Calixto
Format: Electronic eBook
Language:Inglés
Published: Princeton : Princeton University Press, 2008.
Subjects:
Löwenheim, Leopold, > 1878-1957.
Löwenheim, Leopold, > 1878-1957
Logic, Symbolic and mathematical.
Model theory.
Logique symbolique et mathématique.
Théorie des modèles.
MATHEMATICS > General.
Logic, Symbolic and mathematical
Model theory
Online Access:Texto completo
Table of Contents:
  • 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 L©œwenheim Normal Form; Chapter 5. Preliminaries to L©œwenheim's Theorem; Chapter 6. L©œwenheim's Theorem; Appendix. First-Order Logic with Fleeing Indices; A.1 Introduction; A.2 Syntax; A.3 Semantics; A.4 The L©œwenheim normal form; A.5 L©œwenheim's theorem; References; Index.

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