1st Edition

Beyond First Order Model Theory, Volume II

Edited By Jose Iovino Copyright 2023
314 Pages 8 B/W Illustrations
by Chapman & Hall

314 Pages 8 B/W Illustrations
by Chapman & Hall

Model theory is the meta-mathematical study of the concept of mathematical truth. After Afred Tarski coined the term Theory of Models in the early 1950’s, it rapidly became one of the central most active branches of mathematical logic. In the last few decades, ideas that originated within model theory have provided powerful tools to solve problems in a variety of areas of classical mathematics,... Read more

I. Real-Valued Structures and Applications.

Chapter 1. Metastable Convergence and Logical Compactness.
Xavier Caicedo, Eduardo Dueñez, and José Iovino

Chapter 2. Model Theory for Real-Valued Structures
H. Jerome Keisler

Chapter 3. Spectral Gap and Definability
Isaac Goldbring

II. Abstract Elementary Classes and Applications

Chapter 4. Lf Groups, AEC Amalgamation, Few Automorphisms
Saharon Shelah

III. Model Theory and Topology of Spaces of Functions

Chapter 5. Cp-Theory for Model Theorists
Clovis Hamel and Franklin D. Tall

IV. Constructing Many Models

Chapter 6. General Non-Structure Theory.
Saharon Shelah

V. Model Theory of Second Order Logic

Chapter 7. Model Theory of Second Order Logic
Jouko Väänänen

Biography

Jose Iovino is a professor of Mathematics at The University of Texas at San Antonio. His research is in model theory and its applications. He is the author of the monograph Applications of Model Theory to Functional Analysis (Dover Publications, 2014), a co-author of Analysis and Logic (Cambridge University Press, 2003), and the editor of the first volume of Beyond First Order Model Theory (CRC Press, 2017).