Preface xi Acknowledgments xiii List of Abbreviations and Special Symbols xiv 1 Introduction: Compositional Semantics for Natural Language 1 1.1 How to study semantics of natural language 2 1.2 Motivations for adopting a referential theory of meaning 3 1.3 Compositional semantics: first steps 4 1.4 Our official syntax-semantics interface system in a nutshell 6 1.5 Some important syntactic concepts 9 1.6 How we use the Japanese data 11 1.7 Typological differences between English and Japanese 11 1.

8 Semantics and Pragmatics 13 2 Set Theory and Higher-Order Logic 17 2.1 Set Theory - The bare-bones essence needed for semantic research 18 2.2 Propositional Logic 24 2.3 Predicate Logic without quantifiers - syntax 27 2.4 Predicate Logic without quantifiers - semantics 28 2.5 Quantifiers in Predicate Logic 30 2.6 Higher-order logic with the lambda operator - syntax 33 2.7 Higher-order logic with the lambda operator - semantics 36 3 Simple Sentences 42 3.

1 The overall architecture of the theory 43 3.2 Names 43 3.3 Intransitive verbs 44 3.4 Adjectives 44 3.5 Common nouns 45 3.6 Transitive verbs 46 3.7 Prepositions and Prepositional Phrases 47 3.8 Some exceptional cases 48 3.

9 Intransitive verbs in Japanese 50 3.10 Adjectives and adjectival nouns in Japanese 51 3.11 Transitive verbs in Japanese 51 3.12 Double subject constructions in Japanese 52 4 Adnominal Modifiers 56 4.1 Introduction 57 4.2 Prepositional Phrases as modifiers 57 4.3 Participial modifiers 58 4.4 Adjectives used attributively 59 4.

5 Attributive nouns 65 4.6 Postpositional phrases in Japanese 66 4.7 Participial modifiers in Japanese 67 4.8 Attributive adjectives in Japanese 68 5 Determiners and Determiner Phrases 70 5.1 Introduction 71 5.2 Quantified DPs are not referential expressions 71 5.3 Relational analysis of determiners 74 5.4 Compositional semantics for English DPs 77 5.

5 Some examples of compositional semantic computations 79 5.6 The semantics of determiners 83 5.7 The definite article the 85 5.8 Names as generalized quantifiers 87 5.9 Japanese quantifiers 89 6 Relative Clauses 95 6.1 Introduction 96 6.2 English relative clauses 97 6.3 Japanese gapped relative clauses with no quantifiers 102 6.

4 Japanese gapped relative clauses with quantifiers 105 6.5 Externally-headed Japanese relative clauses with no obvious gaps 106 6.6 Internally-headed relative clauses in Japanese 108 7 Quantifier Scope and Pronouns 113 7.1 Introduction 114 7.2 DP quantifiers in the object position 114 7.3 Quantifier scope ambiguity 118 7.4 Free-variable pronouns and bound-variable pronouns 120 7.5 Japanese quantifiers and scope ambiguity 124 7.

6 Negation and quantifiers in English 126 7.7 Negation and quantifiers in Japanese 129 8 Intensionality and Modals 134 8.1 Introduction 135 8.2 English modal auxiliaries and their semantic properties 135 8.3 How Japanese expresses modal concepts 143 8.4 Compositional semantics 145 9 Believe and Its Kin 151 9.1 Introduction 152 9.2 Propositional attitude verbs and the interpretation of complement clauses 153 9.

3 A formal analysis of believe 154 9.4 De dicto vs. de re 156 9.5 De se 158 9.6 Indefinite DP cases 160 9.7 Intensional adjectives 162 10 Tense 164 10.1 Introduction 165 10.2 Present tense 165 10.

3 Past tense 167 10.4 Future tense 170 10.5 Tense in Japanese 170 10.6 Compositional semantic calculations 171 10.7 Tense in complement clauses 173 10.8 Temporal examples of de se attitudes 176 10.9 Topic Time 177 11 Events 180 11.1 Introduction 181 11.

2 Adverbs 181 11.3 Pronominal anaphora 182 11.4 Event nouns 183 11.5 A compositional semantic analysis of Davidson''s proposal 184 11.6 Neo-Davidsonian Theory of events 186 11.7 Additional motivations for introducing events to semantic theory 188 11.8 Some implications of the neo-Davidsonian analysis 189 12 Aspect 192 12.1 Introduction 193 12.

2 Aktionsarten - lexical aspect properties of predicates 193 12.3 Formal characterization of action types (or Aktionsarten) 195 12.4 The progressive 198 12.5 The semantics of the English progressive 199 12.6 The English perfect - Informal discussion 203 12.7 Japanese Aktionsarten 205 12.8 The Japanese -te iru construction 206 12.9 The perfective, the imperfective, and the perfect 207 13 Count, Mass, Bare Nouns, and Plurals 212 13.

1 Introduction 213 13.2 Distributive reading and plurality 213 13.3 Collective readings with plural DPs 216 13.4 Counting and measuring in English 218 13.5 Counting and measuring in Japanese 220 13.6 Bare plurals and bare nouns 222 14 Discourse, Pragmatics, and Beyond 229 14.1 Introduction 230 14.2 Quantified DPs vs.

indefinite and definite descriptions 230 14.3 Donkey anaphora 233 14.4 A solution to the donkey anaphora problem 236 14.5 Temporal properties of discourse 239 14.6 Pragmatic meaning types 242 14.7 Japanese data and their theoretical implications 243 15 Summary and Conclusion 248 15.1 Introduction 249 15.2 Set Theory basics, predicate logic, and its extensions 249 15.

3 Simple sentences 249 15.4 Adnominal modifiers 251 15.5 Determiners and determiner phrases 251 15.6 Relative clauses 252 15.7 Quantifier scope and pronouns 254 15.8 Intensionality and modals 255 15.9 Believe and its kin 256 15.10 Tense 257 15.

11 Events 258 15.12 Aspect 259 15.13 Count, mass, bare nouns, and bare plurals 259 15.14 Discourse, pragmatics, and beyond 262 15.15 Conclusion 262 Solutions to Exercises 264 Index 000.