Modal Logic: An Introduction

A textbook on modal logic, intended for readers already acquainted with the elements of formal logic, containing nearly 500 exercises. Brian F. Chellas provides a systematic introduction to the principal ideas and results in contemporary treatments of modality, including theorems on completeness and decidability. Illustrative chapters focus on deontic logic and conditionality. Modality is a rapidly expanding branch of logic, and familiarity with the subject is now regarded as a necessary part of every philosopher’s technical equipment. Chellas here offers an up-to-date and reliable guide essential for the student.

Contents; Preface; Part I: 1. Introduction; 2. Logical preliminaries; Part II: 3. Standard models for modal logics: 4. Normal systems of modal logic; 5. Determination and decidability for normal systems; 6. Deontic logic; Part III: 7. Minimal models for modal logics; 8. Classical systems of modal logic; 9. Determination and decidability for classical systems; 10. Conditional logic; Select bibliography; Index of symbols; Index of schemas, rules, and systems, Index of subjects.