ABSTRACT

This book is an introduction to a functorial model theory based on infinitary language categories. The author introduces the properties and foundation of these categories before developing a model theory for functors starting with a countable fragment of an infinitary language. He also presents a new technique for generating generic models with cat

chapter 1|10 pages

Introduction

chapter 2|38 pages

Categorical Preliminaries

chapter 3|16 pages

Infi nite Language Categories

chapter 4|20 pages

Functorial Fragment Model Theory

chapter 5|28 pages

Algebraic Theories, Categories, and Models

chapter 6|32 pages

Generic Functorial Models and Topos

chapter 7|26 pages

Models, Sheaves, and Topos

chapter 8|20 pages

Functors on Fields

chapter 10|24 pages

A Glimpse on Algebraic Set Theory