Acknowledgments |
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xiii | |
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xi | |
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PART I DATA AND THEORIES, AN OVERVIEW |
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3 | (18) |
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1.1 Basic Notions and Goals |
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3 | (3) |
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1.2 Chapter 2: Vagueness, Gradability and Typicality: Two Sets of Facts |
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6 | (1) |
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1.3 Chapter 3: The Linguistic Perspective on Vagueness, Gradability and Typicality |
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7 | (3) |
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1.4 Chapter 4: The Psychological Perspective on Vagueness, Gradability and Typicality |
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10 | (1) |
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1.5 Part 2: The New Proposal |
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11 | (10) |
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1.5.1 Chapters 5-6: Partial Information about Graded Structures |
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12 | (1) |
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1.5.2 Chapter 7: A Typology of Predicates by the Type of Their Degree Function |
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12 | (3) |
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1.5.3 Chapter 8: The Connections between Vagueness and Gradability |
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15 | (2) |
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1.5.4 Chapter 9: Polarity Effects |
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17 | (2) |
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1.5.5 Chapter 10: Conclusions and Beyond |
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19 | (2) |
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2 The Linguistic and Psychological Perspectives |
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21 | (44) |
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21 | (17) |
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21 | (1) |
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22 | (6) |
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2.1.3 Positive versus Negative Predicates: Polarity Effects |
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28 | (10) |
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2.2 The Psychological Data |
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38 | (24) |
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38 | (1) |
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2.2.2 Entity Orderings in Nouns |
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39 | (3) |
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2.2.3 Dimensions in Nouns |
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42 | (5) |
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2.2.4 Typicality and Denotation Membership |
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47 | (4) |
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2.2.5 Typicality and Learning |
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51 | (4) |
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2.2.6 The Productive Nature of Typicality Effects |
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55 | (7) |
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2.3 Intermediate Conclusions and One Last Piece of Data |
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62 | (3) |
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3 An Overview of Linguistic Theories |
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65 | (64) |
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3.1 The Representation of Vagueness |
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65 | (3) |
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3.2 The Analysis of Gradability |
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68 | (45) |
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3.2.1 The Connection between Vagueness and Gradability |
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68 | (11) |
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3.2.2 The Nature of the Degrees: The Ordinal Scale versus Interval Scale Controversy |
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79 | (9) |
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88 | (25) |
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3.3 Typicality in Linguistic Theories |
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113 | (16) |
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3.3.1 Background: Multi-Valued Semantics |
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114 | (6) |
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3.3.2 Supermodel Theory: Kamp and Partee (1995) |
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120 | (3) |
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3.3.3 Problems with Supermodel Theory |
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123 | (6) |
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4 An Overview of Psychological Theories |
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129 | (42) |
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130 | (8) |
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4.1.1 Dimension Sets, Mean Distance and Similarity |
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130 | (2) |
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4.1.2 Standard-Based Categorization |
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132 | (2) |
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4.1.3 Contrast-Based Categorization |
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134 | (3) |
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4.1.4 The Main Problem of Prototype Models: Linear Separability |
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137 | (1) |
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138 | (4) |
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4.2.1 Exemplar-Based Similarity |
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138 | (1) |
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4.2.2 The Results of Exemplar Extension |
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139 | (1) |
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4.2.3 The Disadvantage of Eliminating Summary Representations |
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140 | (1) |
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4.2.4 Are Exemplar-Based and Prototype-Based Predictions Inconsistent? |
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141 | (1) |
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4.3 Objections to Truth Conditional Theories |
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142 | (7) |
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4.3.1 The Conjunction and Sub-Type Effects and Failures of Intersection Inferences |
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143 | (2) |
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4.3.2 A Composite-Prototype Representation |
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145 | (2) |
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4.3.3 Constituent-Based Predictions |
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147 | (2) |
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4.4 The Representation of Information about Prototypes |
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149 | (13) |
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4.4.1 The Probabilistic Criterion |
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149 | (5) |
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4.4.2 The Knowledge Criterion |
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154 | (8) |
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4.5 Apparent Dissociations between Judgments of Typicality and Membership Likelihood |
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162 | (4) |
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166 | (5) |
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PART II A COMPREHENSIVE SEMANTIC ANALYSIS |
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5 Information Structure with Degrees and Dimensions |
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171 | (26) |
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5.1 Modeling Partial Information about Degrees and Dimensions |
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171 | (4) |
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5.2 The Inhabitants of Vagueness Models: Representing Vagueness and Ignorance |
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175 | (3) |
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5.3 Numerical Degree Functions |
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178 | (3) |
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5.4 Negative Predicates: The Quantity Metaphor and Transformation Values |
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181 | (5) |
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5.5 Dimensions and Dimension Sets |
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186 | (3) |
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5.6 Nouns, Adjectives, and More |
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189 | (4) |
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5.7 The Degree Function of Multidimensional Adjectives |
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193 | (4) |
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6 Partial Information about Gradability and Typicality |
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197 | (22) |
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6.1 The Syntax of the Language |
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197 | (1) |
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6.2 Vagueness Models with Degree Functions |
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198 | (21) |
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6.2.1 A Degree Ontology: D and Df |
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199 | (1) |
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6.2.2 The Context Structure: C, ≤, Co, and T |
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200 | (1) |
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6.2.3 The Extension Assigning Function Extension |
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201 | (1) |
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6.2.4 The Set of Assignment Functions G |
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202 | (1) |
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6.2.5 Semantic Values Relative to a Context t in T and an Assignment g in G |
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202 | (4) |
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6.2.6 Supersemantic Values Relative to a Context c in C and an Assignment g in G |
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206 | (6) |
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6.2.7 The Additional Elements in the Interpretation of Predicates, I |
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212 | (1) |
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6.2.8 The Superelements of the Interpretation of Predicates, I, Relative to c and g |
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213 | (6) |
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7 A Degree-Function Based Typology of Predicates |
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219 | (72) |
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7.1 Standard-Based Categorization |
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219 | (2) |
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7.2 Membership Standards as Domain-Based |
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221 | (13) |
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7.2.1 The Connections between Standards and Domains |
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221 | (5) |
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7.2.2 Domain-Dependent Standards of Absolute Predicates |
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226 | (3) |
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7.2.3 The Standards of Nominal Concepts |
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229 | (5) |
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7.3 Negative versus Positive Adjectives |
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234 | (2) |
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7.4 Nominal Concepts: A Prototype Theory |
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236 | (11) |
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7.4.1 Nominal Concepts Are Similarity-Based |
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237 | (2) |
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7.4.2 The Representation of Partial and Context-Dependent Information about Prototypes |
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239 | (2) |
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7.4.3 A Psychologically Realistic Representation of the Nominal Intension |
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241 | (2) |
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7.4.4 The Felicity of Nominal Concepts in Between-Predicate Comparisons |
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243 | (2) |
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7.4.5 The Dimension Reading of Typical |
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245 | (2) |
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7.5 Multidimensional Adjectives and Distance Predicates |
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247 | (40) |
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7.5.1 Rules versus Similarity-Based Categorization Criteria |
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247 | (2) |
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7.5.2 The Interpretation of Distance Predicates |
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249 | (7) |
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7.5.3 The Differences between Nominal and Adjectival Concepts |
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256 | (5) |
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7.5.4 The Double Nature of Negative Antonymy |
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261 | (1) |
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7.5.5 Evidence From Exception Phrases and Degree Modifiers |
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262 | (9) |
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7.5.6 Dimension Accessibility: The Licensing of with Respect to Phrases |
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271 | (10) |
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7.5.7 The Licensing of Comparative Morphemes |
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281 | (4) |
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7.5.8 Languages with a Closed Set of Adjectives (and Rule-Based Verbs) |
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285 | (2) |
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7.6 Intermediate Conclusions |
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287 | (4) |
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8 The Learning Principle and Complex Concepts |
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291 | (46) |
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8.1 An Ordering Principle Based on Vagueness Resolution (Order of Learning) |
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291 | (3) |
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8.2 Typicality is Tightly Coupled with Learning Order |
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294 | (1) |
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8.3 Acquisition of Predicate Interpretation Based on Entities Acquired Early |
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295 | (4) |
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8.4 Classification of Typical Entities by Inference |
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299 | (2) |
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301 | (2) |
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8.6 Typicality and Proper Names: First Impression Effects |
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303 | (6) |
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309 | (16) |
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310 | (2) |
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8.7.2 Conjunction Effects and Fallacies |
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312 | (1) |
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8.7.3 Emergent Dimensions and Inheritance Failures |
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313 | (6) |
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8.7.4 The Ordering in Conjunctive Predicates, Compositionality and Its Limits |
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319 | (6) |
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8.8 Intermediate Conclusions |
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325 | (1) |
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8.9 Exemplars, Kinds, Typicality, and Genericity: Suggestions for Future Research |
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326 | (11) |
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326 | (4) |
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8.9.2 Typicality and Genericity |
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330 | (7) |
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9 The Meaning and Distribution of Gradability Morphemes |
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337 | (56) |
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337 | (4) |
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9.2 A Typology of Predicates by Their Transformation Values and Additive Functions |
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341 | (6) |
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9.2.1 Ratio versus Interval Predicates |
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341 | (3) |
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9.2.2 Interval versus Ordinal Predicates |
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344 | (3) |
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9.3 Unit Names and Numerical Degree Predicates |
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347 | (20) |
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9.3.1 An Analysis Based on Measurement Theory |
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347 | (4) |
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9.3.2 Direct Consequences: Unit Names and Numerical Degree Relations in Polar Antonyms |
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351 | (6) |
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9.3.3 Between-Predicate Comparisons in Predicates with Conventional Unit Names |
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357 | (2) |
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359 | (2) |
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9.3.5 Predicates That Can Never Occur with Numerical Degree Predicates |
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361 | (3) |
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9.3.6 Numerical Degree Predicates in Argument Position |
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364 | (2) |
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9.3.7 Complex Numerical Degree Relations |
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366 | (1) |
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367 | (11) |
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9.4.1 A Supremum Theory without Including a Supremum in the Interpretation of Predicates |
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367 | (6) |
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9.4.2 Clausal Comparisons with Negative Predicates |
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373 | (3) |
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9.4.3 Cross-Polar Anomalies and Nomalies |
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376 | (2) |
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9.5 The Distribution of Difference and Ratio Modifiers |
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378 | (15) |
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9.5.1 The Distribution of Ratio Modifiers |
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378 | (6) |
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9.5.2 The Distribution of Difference Modifiers |
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384 | (9) |
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393 | (16) |
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10.1 Summary of Main Points |
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393 | (2) |
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10.2 This Model and Beyond |
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395 | (14) |
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10.2.1 Absolute Predicates---New Developments |
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395 | (2) |
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10.2.2 Ontological Primitives: Degrees or Entity Sets? |
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397 | (3) |
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10.2.3 Measurement Theory in Linguistics |
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400 | (3) |
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10.2.4 Learning Orders and Beyond: Tolerance Inferences and Semi-Orders |
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403 | (6) |
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1 Proofs of Compositionality of Sets of Necessary Conditions (cf., Chapter 7) |
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409 | (2) |
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2 Sample of Proofs of the Predictions of the Learning Principle (cf., Chapter 8, cf. (21)) |
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411 | (2) |
References |
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413 | (14) |
Index |
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427 | |