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The Elements of Mathematical Semantics : Trends in Linguistics. Studies and Monographs - Maurice V. Aldridge

The Elements of Mathematical Semantics

Trends in Linguistics. Studies and Monographs

Hardcover Published: 1992
ISBN: 9783110129571
Number Of Pages: 272
For Ages: 22+ years old

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A contribution to the development of a general theory of meaning, using mathematical or Montague semantics, a noncalculative approach concerned with the formal modelling of language. Reviews the necessary mathematics, logic, and linguistics required to understand the treatment; then discusses vagu

Some topics in semantics
Aims of this studyp. 1
Mathematical linguisticsp. 1
A functional view of meaningp. 2
Truth conditions and truth valuesp. 8
Counterfactualsp. 11
Compositionality and syntaxp. 11
Pragmaticsp. 13
Propositional relationsp. 14
Ambiguityp. 16
Formal logic and natural languagesp. 17
Universal semanticsp. 18
Background notions from mathematics
Purpose of this chapterp. 20
Setsp. 20
The cardinality of a setp. 23
Product setsp. 24
Relations and functionsp. 25
Equivalence relationsp. 27
Boolean algebrasp. 29
Isomorphisms and homomorphismsp. 32
Effective processesp. 33
Background notions from formal logic
Scope of this chapterp. 37
The calculus of propositionsp. 37
The nature of propositionsp. 41
Monotonicityp. 42
The predicate calculusp. 43
Modal logicp. 50
Lambda abstractionp. 58
Montague's intensional logicp. 61
Vagueness and ambiguity
Backgroundp. 78
Ambiguityp. 80
Structural ambiguityp. 85
De dicto vs de rep. 91
Intensions and temporal quantifiersp. 98
Modalitiesp. 100
Regimentationp. 102
Logical form in binding theory
Levels of representationp. 104
Logical formp. 105
Wellformedness in binding theoryp. 107
Some typical problems of coreferencep. 107
Some conditions on coreferencep. 108
Wh-questions and quantifiersp. 116
Casep. 120
Logical form in semantic representationp. 125
Pragmatics
Definition of pragmaticsp. 126
Indicesp. 127
Contextual propertiesp. 128
Performativesp. 132
Fuzzinessp. 137
Presuppositionsp. 139
Types of semantic presuppositionp. 137
Truth-value gapsp. 147
Primary and secondary presuppositionsp. 152
Presuppositions and questionsp. 153
Pragmatic presuppositionsp. 155
Categorial grammar
Categorial grammarp. 162
A severely limited grammarp. 163
Some category assignmentsp. 166
Nominals and intransitive verbsp. 167
Nominals and transitive verbsp. 168
Some verb typesp. 170
Wh-wordsp. 174
Common nouns, quantifiers and ofp. 176
Mass and abstract nounsp. 181
Adverbs and adjectivesp. 182
Relatives and appositivesp. 185
Comparisonp. 186
Intensifiersp. 190
Equativesp. 191
Degree complementsp. 193
Abbreviationsp. 194
Spelling-out rulesp. 196
The lexiconp. 199
Semantic rules
Semantic rulesp. 201
Logical and nonlogical connectivesp. 203
Nominalsp. 214
Unitary nominalsp. 214
Common nouns and intransitive verbsp. 215
Logical quantifiersp. 217
Proportional quantifiersp. 222
Partitives and genitivesp. 226
Some verb typesp. 227
Wh-wordsp. 234
Adjectivesp. 235
Adverbsp. 238
Bibliographyp. 243
Indexp. 251
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783110129571
ISBN-10: 3110129574
Series: Trends in Linguistics. Studies and Monographs
Audience: Professional
For Ages: 22+ years old
Format: Hardcover
Language: English
Number Of Pages: 272
Published: 1992
Publisher: Walter de Gruyter & Co
Country of Publication: DE
Dimensions (cm): 23.0 x 15.5  x 1.91
Weight (kg): 0.62