ABSTRACT

This long-awaited book replaces Hughes and Cresswell's two classic studies of modal logic: An Introduction to Modal Logic and A Companion to Modal Logic.
A New Introduction to Modal Logic is an entirely new work, completely re-written by the authors. They have incorporated all the new developments that have taken place since 1968 in both modal propositional logic and modal predicate logic, without sacrificing tha clarity of exposition and approachability that were essential features of their earlier works.
The book takes readers from the most basic systems of modal propositional logic right up to systems of modal predicate with identity. It covers both technical developments such as completeness and incompleteness, and finite and infinite models, and their philosophical applications, especially in the area of modal predicate logic.

part |2 pages

Part One: Basic Modal Propositional Logic

chapter 1|20 pages

The Basic Notions

chapter 2|28 pages

The Systems K, T and D

chapter 3|21 pages

The Systems S4, S5, B, Triv and Ver

chapter 4|22 pages

Testing for validity

chapter 5|17 pages

Conjunctive Normal Form

chapter 6|14 pages

Completeness

part |2 pages

Part Two: Normal Modal Systems

chapter 7|18 pages

Canonical Models

chapter 8|14 pages

Finite Models

chapter 9|13 pages

Incompleteness

chapter 10|21 pages

Frames and Systems

chapter 11|17 pages

Strict Implication

chapter 12|23 pages

Glimpses Beyond

part |2 pages

Part Three: Modal Predicate Logic

chapter 13|21 pages

The Lower Predicate Calculus

chapter 14|18 pages

The Completeness of Modal LPC

chapter 15|15 pages

Expanding Domains

chapter 16|23 pages

Modality and Existence

chapter 17|18 pages

Identity and Descriptions

chapter 18|19 pages

Intensional Objects

chapter 19|10 pages

Further Issues