Logic, language, and meaning /
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Author / Creator: | Gamut, L. T. F. |
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Uniform title: | Logica, taal en betekenis. English |
Imprint: | Chicago : University of Chicago Press, 1991. |
Description: | 2 v. ; 24 cm. |
Language: | English |
Subject: | |
Format: | Print Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/1129577 |
Table of Contents:
- Foreword
- Preface
- 1. Introduction
- 1.1. Arguments, Valid Arguments, and Argument Schemata
- 1.2. Logic and Meaning
- 1.3. Logical Constants and Logical Systems
- 1.4. Logic and Linguistics before the Twentieth Century
- 1.5. The Twentieth Century
- 1.5.1. Logical Form versus Grammatical Form
- 1.5.2. Ordinary Language Philosophy
- 1.5.3. Linguistics and Philosophy
- 1.6. Formal Languages
- 2. Propositional Logic
- 2.1. Truth-Functional Connectives
- 2.2. Connectives and Truth Tables
- 2.3. Formulas
- 2.4. Functions
- 2.5. The Semantics of Propositional Logic
- 2.6. Truth Functions
- 2.7. Coordinating and Subordinating Connectives
- 3. Predicate Logic
- 3.1. Atomic Setences
- 3.2. Quantifying Expressions: Quantifiers
- 3.3. Formulas
- 3.4. Some More Quantifying Expressions and Their Translations
- 3.5. Sets
- 3.6. The Semantics of Predicate Logic
- 3.6.1. Interpretation Functions
- 3.6.2. Interpretation by Substitution
- 3.6.3. Interpretation by Means of Assignments
- 3.6.4. Universal Validity
- 3.6.5. Rules
- 3.3.7. Identity
- 3.3.8. Some Properties of Relations
- 3.3.9. Function Symbols
- 4. Arguments and Inferences
- 4.1. Arguments and Argument Schemata
- 4.2. Semantic Inference Relations
- 4.2.1. Semantic Validity
- 4.2.2. The Principle of Extensionality
- 4.3. Natural Deduction: A Syntactic Approach to Inference
- 4.3.1. Introduction and Elimination Rules
- 4.3.2. Conjunction
- 4.3.3. Implication
- 4.3.4. Disjunction
- 4.3.5. Negation
- 4.3.6. Quantifiers
- 4.3.7. Rules
- 4.4. Soundness and Completeness
- 5. Beyond Standard Logic
- 5.1. Introduction
- 5.2. Definite Descriptions
- 5.3. Restricted Quantification: Many-Sorted Predicate Logic
- 5.4. Second-Order Logic
- 5.5. Many-Valued Logic
- 5.5.1. Introduction
- 5.5.2. Three-Valued Logical Systems
- 5.5.3. Three-Valued Logics and the Semantic Notion of Presupposition
- 5.5.4. Logical Systems with More than Three Values
- 5.5.5. Four-Valued Logics and the Semantic Notion of Presupposition
- 5.5.6. The Limits of Many-Valued Logics in the Analysis of Presupposition
- 5.6. Elimination of Variables
- 6. Pragmatics: Meaning and Usage
- 6.1. Non-Truth-Conditional Aspects of Meaning
- 6.2. Logical Conjunction and Word Order
- 6.3. Usage and the Cooperation Principle
- 6.4. Inclusive and Exclusive Disjunction
- 6.5. Disjunctions and Informativeness
- 6.6. Conversational Maxims and Conversational Implicatures
- 6.7. The Controversial Implicatures of Disjunctions
- 6.8. Implication and Informativeness
- 6.9. Presuppositions and Conversational Implicatures
- 6.10. Conventional Implicatures, Presuppositions, and Implications
- 7. Formal Syntax
- 7.1. The Hierarchy of Rewrite Rules
- 7.2. Grammars and Automata
- 7.3. The Theory of Formal Languages
- 7.4. Grammatical Complexity of Natural Languages
- 7.5. Grammars, Automata, and Logic Solutions to Exercises
- Bibliographical
- Notes
- References
- Index