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Logic in Linguistics

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ISBN-10: 0521291747

ISBN-13: 9780521291743

Edition: 1977

Authors: Jens Allwood, S. R. Anderson, Lars-Gunnar Andersson, J. Bresnan, B. Comrie

List price: $54.99
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Description:

An elementary introduction to formal logic, particularly intended for linguists and others interested in languages. Concepts and theories developed within formal logic for the study of artificial languages have for some time been fruitfully applied to the study of natural languages and some knowledge of them is now necessary for students of linguists (especially semantics). With this need in mind the authors offer a clear, succinct and basic introduction to set theory, inference, propositional and predicate logic, deduction, modal and intensional logic, and various recent extensions of these. There is a discussion too of the relation between linguistics and logical analysis and between…    
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Book details

List price: $54.99
Copyright year: 1977
Publisher: Cambridge University Press
Publication date: 9/15/1977
Binding: Paperback
Pages: 196
Size: 6.00" wide x 9.00" long x 0.50" tall
Weight: 0.902
Language: English

Preface
Symbols and notational conventions
Logic for linguists
Set theory
Sets and elements
Relations between sets
Operations on sets
Relations and functions
Inference and logical analysis of sentences
Inference
Logical form
Sentences and propositions
Possible worlds and the truth-set of a proposition
Analytic and synthetic sentences
Simple and compound sentences
The depth of the logical analysis
Propositional logic
Connectives
The meaning of the logical connectives
Negation
Conjunction
Disjunction
Implication
Equivalence
How to indicate constituent structure
The syntax and semantics of propositional calculus
Syntax
Semantics
Tautologies and contradictions
Truth tables
Predicate logic
Extending the logical analysis
Quantifiers
Summary of the syntax of predicate logic
The semantics of predicate logic
True in all interpretations
Summary of the semantics of predicate logic
A formal version of the semantics
Formal properties of relations
Reflexivity
Symmetry
Transitivity
Converse
Structure of the domain and co-domain of relations
Deduction
The deductive system
Deduction rules in everyday conversation
Modal logic
Modal operators
Strict implication
Other modalities
Problems connected with scope and identity in modal logic
'De dicto'--'de re' ambiguities
Specificity
Opacity
Cross-world identification
Counterfactual sentences
Tense logic and reference points
Intensional logic and categorial grammar
Intensions and extensions
Intension
The Fregean principle
The Fregean principle and categorial grammar
Categories, intensions and types
Further extensions
Second-order predicate logic and predicate operators
Presuppositions and definite descriptions
Pragmatic analysis of presuppositions
The abstraction- or lambda-operator
Logic for linguists?
General
The concept of meaning
The role of formal languages in analysing natural language
The limitations of classical logic
References
Answers to exercises
Index