A New Introduction to Modal Logic

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Overview

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.

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Product Details

  • ISBN-13: 9780415125994
  • Publisher: Taylor & Francis
  • Publication date: 9/20/1996
  • Pages: 432
  • Age range: 18 years
  • Product dimensions: 5.50 (w) x 8.50 (h) x 1.13 (d)

Table of Contents

Preface
1 The Basic Notions 3
2 The Systems K, T and D 23
3 The Systems S4, S5, Triv and Ver 51
4 Testing for validity 72
5 Conjunctive Normal Form 94
6 Completeness 111
7 Canonical Models 127
8 Finite Models 145
9 Incompleteness 159
10 Frames and Systems 172
11 Strict Implication 193
12 Glimpses Beyond 210
13 The Lower Predicate Calculus 235
14 The Completeness of Modal LPC 256
15 Expanding Domains 274
16 Modality and Existence 289
17 Identity and Descriptions 312
18 Intensional Objects 330
19 Further Issues 349
Axioms, Rules and Systems 359
Solutions to Selected Exercises 369
Bibliography 384
Index 398
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