The Birth of model theory : Lowenheim's Theorem in the frame of the theory of relatives

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 theorems are well understood, this is not the case with Löwenheim's theorem. For example, the very result that scholars attribute to Löwenheim today is not the one that Skolem--a logician raised in the algebraic tradition, like Löwenheim--appears to have attributed to him. In The Birth of Model Theory, Cali.

Print version record.

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.

eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - Worldwide