Synopses & Reviews
Translated from the French, this book is an introduction to first-order model theory. Starting from scratch, it quickly reaches the essentials, namely, the back-and-forth method and compactness, which are illustrated with examples taken from algebra. It also introduces logic via the study of the models of arithmetic, and it gives complete but accessible exposition of stability theory.
Synopsis
Can we reproduce the inimitable, or give a new life to what has been af fected by the weariness of existence? Folks, what you have in your hands is a translation into English of a book that was first published in 1985 by its author, that is, myself, at the end of an editorial adventure about which you will find some details later. It was written in a dialect of Latin that is spoken as a native language in some parts of Europe, Canada, the U. S. A., the West Indies, and is used as a language of communication between several countries in Africa. It is also sometimes used as a lan guage of communication between the members of a much more restricted community: mathematicians. This translation is indeed quite a faithful rendering of the original: Only a final section, on the reals, has been added to Chapter 6, plus a few notes now and then. On the title page you see an inscription in Arabic letters, with a transcription in the Latin (some poorly informed people say English ) alphabet below; I designed the calligraphy myself."
Synopsis
Model theory is a branch of logic that studies the properties of models and forms the basis of theoretical computer science. This long-awaited translation from Poizat's French edition serves as an introduction to classical stability theory. The authors' style gets to the heart of the matter with an elegance and uniqueness of exposition not found in any other book on this topic. The first part forms an excellent introduction to first-order model theory, arithmetic and set theory. The remaining half of the book concentrates on stability theory.
Synopsis
Translated from the French, this book is an introduction to first-order model theory. Starting from scratch, it quickly reaches the essentials, namely, the back-and-forth method and compactness, which are illustrated with examples taken from algebra. It also introduces logic via the study of the models of arithmetic, and it gives complete but accessible exposition of stability theory.
Description
Includes bibliographical references (p. [419]-427) and indexes.