The Elements of Mathematical Semantics

By: Maurice V. Aldridge

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Hardcover | 1 December 1991

At a Glance

Hardcover
278 Pages

Age
22

Grade
17

Dimensions(cm)
23.0 x 15.5 x 1.91

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TRENDS IN LINGUISTICS is a series of books that open new perspectives in our understanding of language. The series publishes state-of-the-art work on core areas of linguistics across theoretical frameworks, as well as studies that provide new insights by approaching language from an interdisciplinary perspective.

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TRENDS IN LINGUISTICS publishes monographs and outstanding dissertations as well as edited volumes, which provide the opportunity to address controversial topics from different empirical and theoretical viewpoints. High quality standards are ensured through anonymous reviewing.

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You Can Find This Book In

Non-Fiction Language & Linguistics Linguistics Semantics & Discourse Analysis Mathematics Philosophy of Mathematics

Some topics in semantics
Aims of this study	p. 1
Mathematical linguistics	p. 1
A functional view of meaning	p. 2
Truth conditions and truth values	p. 8
Counterfactuals	p. 11
Compositionality and syntax	p. 11
Pragmatics	p. 13
Propositional relations	p. 14
Ambiguity	p. 16
Formal logic and natural languages	p. 17
Universal semantics	p. 18
Background notions from mathematics
Purpose of this chapter	p. 20
Sets	p. 20
The cardinality of a set	p. 23
Product sets	p. 24
Relations and functions	p. 25
Equivalence relations	p. 27
Boolean algebras	p. 29
Isomorphisms and homomorphisms	p. 32
Effective processes	p. 33
Background notions from formal logic
Scope of this chapter	p. 37
The calculus of propositions	p. 37
The nature of propositions	p. 41
Monotonicity	p. 42
The predicate calculus	p. 43
Modal logic	p. 50
Lambda abstraction	p. 58
Montague's intensional logic	p. 61
Vagueness and ambiguity
Background	p. 78
Ambiguity	p. 80
Structural ambiguity	p. 85
De dicto vs de re	p. 91
Intensions and temporal quantifiers	p. 98
Modalities	p. 100
Regimentation	p. 102
Logical form in binding theory
Levels of representation	p. 104
Logical form	p. 105
Wellformedness in binding theory	p. 107
Some typical problems of coreference	p. 107
Some conditions on coreference	p. 108
Wh-questions and quantifiers	p. 116
Case	p. 120
Logical form in semantic representation	p. 125
Pragmatics
Definition of pragmatics	p. 126
Indices	p. 127
Contextual properties	p. 128
Performatives	p. 132
Fuzziness	p. 137
Presuppositions	p. 139
Types of semantic presupposition	p. 137
Truth-value gaps	p. 147
Primary and secondary presuppositions	p. 152
Presuppositions and questions	p. 153
Pragmatic presuppositions	p. 155
Categorial grammar
Categorial grammar	p. 162
A severely limited grammar	p. 163
Some category assignments	p. 166
Nominals and intransitive verbs	p. 167
Nominals and transitive verbs	p. 168
Some verb types	p. 170
Wh-words	p. 174
Common nouns, quantifiers and of	p. 176
Mass and abstract nouns	p. 181
Adverbs and adjectives	p. 182
Relatives and appositives	p. 185
Comparison	p. 186
Intensifiers	p. 190
Equatives	p. 191
Degree complements	p. 193
Abbreviations	p. 194
Spelling-out rules	p. 196
The lexicon	p. 199
Semantic rules
Semantic rules	p. 201
Logical and nonlogical connectives	p. 203
Nominals	p. 214
Unitary nominals	p. 214
Common nouns and intransitive verbs	p. 215
Logical quantifiers	p. 217
Proportional quantifiers	p. 222
Partitives and genitives	p. 226
Some verb types	p. 227
Wh-words	p. 234
Adjectives	p. 235
Adverbs	p. 238
Bibliography	p. 243
Index	p. 251
Table of Contents provided by Blackwell. All Rights Reserved.

The Elements of Mathematical Semantics

At a Glance

Hardcover

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