Language and logics : an introduction to the logical foundations of language / Howard Gregory.

Print version record.

Includes bibliographical references and index.

Title page; Copyright; Contents; Preface; Chapter 1 Meaning and Logic ; PART I The Classical Picture ; Chapter 2 Truth Table Logic ; Chapter 3 Predicates ; Chapter 4 Quantifiers ; Chapter 5 Functions: The Lambda Calculus ; PART II Modality ; Chapter 6 Possibility and Necessity ; chapter 7 Worlds and Individuals ; PART III Negation and Partiality ; Chapter 8 Many Valued Logics ; Chapter 9 Situations and Information ; Chapter 10 Intuitionism and Constructive Proof ; PART IV Substructural Logics and Categorial Grammar ; Chapter 11 Relevance, Resources and Order ; Chapter 12 Grammar as Logic.

Chapter 13 Combinators Bibliography; Index.

This book will take linguistics students beyond the classical logic used in introductory courses into the variety of non-standard logics that are commonly used in research. It embraces a wide variety of material, including modal logic, partial logic, situation semantics and the growing area of the substructural logics, starting with simple and intuitive concepts. Prior knowledge of mathematical logic is not required as issues are introduced and discussed in clear and precise English before symbolic notation is introduced. The variety of material is organised around one central thread: the tailoring of logical systems to reasoning about different applications in linguistics and beyond. Key Features: Does not presuppose any background in logic or mathematics Self-contained: introductory sections give a good grounding in the prerequisites of the course Optional discussion of issues and applications to interest more advanced students One of the very few non-specialist introductions to the growing area of substructural logic

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