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