Beyond First Order Model Theory, Volume I and II

Model theory is a meta-mathematical study of mathematical truth that has provided powerful tools to solve problems in classical mathematics. The two volumes of "Beyond First Order Model Theory" present a comprehensive vista of contemporary research in model theory beyond the classical first-order viewpoint. The first volume is an introduction to current trends, while the second volume contains introductions to real-valued logic, abstract elementary classes, interconnections between model theory and function spaces, nonstucture theory, and model theory of second-order logic. The book is suitable as a reference for advanced undergraduate, postgraduates, and researchers.

Format: Mixed media product
Length: 768 pages
Publication date: 12 June 2023
Publisher: Taylor & Francis Ltd

Model theory is a meta-mathematical exploration of the concept of mathematical truth, which gained prominence after Alfred Tarski coined the term "Theory of Models" in the early 1950s. Since then, it has emerged as a central and highly active branch of mathematical logic, providing powerful tools for solving problems across various areas of classical mathematics.

The two volumes of "Beyond First Order Model Theory" offer a comprehensive and in-depth perspective of contemporary research in model theory, extending beyond the classical first-order viewpoint. Each chapter serves as an introduction to a current direction in model theory, presenting results that are not readily available elsewhere. The articles are written in a way that allows them to be studied independently of each other.

The first volume focuses on introducing current trends in model theory, featuring a collection of articles authored by renowned researchers in the field. It serves as a valuable reference for students and senior researchers alike.

The second volume delves into various topics, including real-valued logic and its applications, abstract elementary classes and their applications, interconnections between model theory and function spaces, nonstucture theory, and model theory of second-order logic.

Key Features:
Coherent Introduction to Current Trends in Model Theory: The first volume provides a comprehensive overview of the current state-of-the-art in model theory, offering insights into the most influential research directions.
Articles by Distinguished Logicians: The book brings together some of the most influential logicians of the last hundred years, providing a unique perspective on the field.
Suitable for Advanced Undergraduate, Postgraduate, and Research: The content is suitable for advanced undergraduate students, postgraduate students, and researchers interested in model theory and its applications.

In conclusion, "Beyond First Order Model Theory" is a comprehensive and authoritative publication that offers a deep understanding of contemporary research in model theory, extending beyond the classical first-order viewpoint. It serves as a valuable resource for students, researchers, and anyone interested in the mathematical foundations of logic and its applications.

Weight: 453g
Dimension: 234 x 156 (mm)
ISBN-13: 9780367208363