Iceberg Semantics for Mass Nouns and Count Nouns: A New Framework for Boolean Semantics

Acknowledgements
Contents
About the Author
Chapter 1: Introduction
	1.1 Just Right
	1.2 Section by Section
Chapter 2: Boolean Background
	2.1 Boolean Algebras Lite
	2.2 Appendix (For Readers with No Semantic Background)
	2.3 Boolean Algebras
	References
Chapter 3: Mountain Semantics
	3.1 Mountain Semantics for Count Nouns
	3.2 Counting in Mountain Semantics
	3.3 Sharvy´s Definiteness Operation and the Pragmatics of the Null Element
	3.4 Count Comparison
	3.5 The Distributive Operator
	3.6 Mountain Semantics for Mass Nouns and Count Nouns
	References
Chapter 4: Sorting and Unsorting
	4.1 Sorted Domains
	4.2 The Gold Paradox
	4.3 Sorting to the Limit: Homogeneity
	4.4 The Supremum Argument
		4.4.1 Furniture and Pavarotti´s Hair
		4.4.2 On Buying Furniture
		4.4.3 The Mad Wigmaker
		4.4.4 Dual Perspective Intensionality
	4.5 Portioning
	4.6 Whither Mountain Semantics?
	4.7 Problems of Unsorting
		4.7.1 The Problem of Distribution
		4.7.2 EXCURSUS: Rothstein 2010 (and Krifka 1989, 1995)
		4.7.3 Grammatical Solutions to Distribution
	References
Chapter 5: Iceberg Semantics for Count Nouns
	5.1 Iceberg Semantics for Count Nouns
	5.2 Distribution Sets and Cardinality
	5.3 Compositionality and the Head Principle
	5.4 An Example: The Three White Cats
	5.5 Slandering Employees and Tuna Eating Cats
	References
Chapter 6: Iceberg Semantics for Count Nouns and Mass Nouns
	6.1 Count - Mass - Neat - Mess
		6.1.1 Count, Mass, Neat, Mess as Base-Distinctions
		6.1.2 Defining Count, Mass, Neat and Mess I-Sets
		6.1.3 Count, Mass, Neat and Mess Intensions
		6.1.4 The Imperative of Disjointness
	6.2 Iceberg Semantics for DPs
	6.3 Singular Shift
	6.4 Portioning
	6.5 Gillon´s Problem
	References
Chapter 7: Neat Mass Nouns
	7.1 Group Neutral and Sum Neutral Neat Mass Nouns
	7.2 Conceptually and Contextually Disjoint Neat Mass Nouns
	7.3 Neat Mass Nouns as Mass Nouns
	7.4 Neat Mass Nouns as Neat Nouns
		7.4.1 Atomicity
		7.4.2 The Individual Classifier stuk(s) in Dutch
		7.4.3 Count and Measure Comparison
		7.4.4 Distributive Adjectives
	References
Chapter 8: Mess Mass Nouns
	8.1 Types of Mess Mass I-sets
		8.1.1 Type 1: Like Time
		8.1.2 Type 2: Like Salt Dissolved in Water
		8.1.3 Type 3: Like Meat and Soup
		8.1.4 Type 4: Like Rice
		8.1.5 Type 5: Like Water
	8.2 Downshifting
		8.2.1 Shifting to Neat Mass
		8.2.2 Types of Downshifts
		8.2.3 Downshifting as a Last Resort Mechanism
		8.2.4 What Conflicts Can Be Resolved by Downshifting?
		8.2.5 Contextually Triggered Downshifting
		8.2.6 A Note on Downshifting Versus Ambiguity
	8.3 How Mess Mass Counts
	References
Chapter 9: The Structure of Classifier and Measures Phrases
	9.1 Some Properties of Classifiers and Measures in English and Dutch
	9.2 Classifier and Measure Structures
	9.3 Rothstein´s Analysis
	9.4 Landman´s Structures
	9.5 The Case Against Rothstein´s Analysis of Measure Phrases
		9.5.1 Three Salient Features Rothstein´s Analysis
		9.5.2 What Is the Head of the Measure Phrase?
		9.5.3 What Is the Constituent Structure of the Measure Phrase?
		9.5.4 Do We Need NP[of] [plur] Reanalyzed as NP[of] [mass]?
	9.6 A More General Perspective
	References
Chapter 10: Iceberg Semantics for Classifier and Measure Phrases
	10.1 Measure i-Sets and Classifier i-Sets
	10.2 Why Measure Phrases Are Mess Mass
		10.2.1 The Body of the Measure
		10.2.2 Measure Functions
		10.2.3 Measure i-Sets
		10.2.4 The Base of the Measure i-Set
		10.2.5 Measure Phrases Are Mess Mass
	10.3 Classifier Semantics
		10.3.1 Classifier i-Sets
		10.3.2 Container Classifiers
		10.3.3 The Function Contents
		10.3.4 Portion Readings
		10.3.5 Shape Classifiers
		10.3.6 Contents Classifiers
	10.4 Shifting Between Classifiers and Measures
		10.4.1 Shifting Measures to Container Classifiers
		10.4.2 Shifting Measures to Contents Classifiers
		10.4.3 Shifting Classifiers via Measures to Container and Contents Classifiers
		10.4.4 Shifting Measures to Portion Classifiers
		10.4.5 Shifting Classifiers Via Measures to Portion Classifiers
	10.5 Summary of the Measure and Classifier Readings
	References
Chapter 11: Elaborations, Developments, Justifications
	11.1 Measure Comparison of Neat Mass Nouns
		11.1.1 Iceberg Semanics for Partitives
		11.1.2 Conservative Semantics for Measure Comparison Most
		11.1.3 Non-downshifted Measure Readings of Neat Mass Nouns
	11.2 Luxury Icebergs and Singular Shift
	11.3 Pragmagic
		11.3.1 A Caveat About Implementing Pragmagic
		11.3.2 Doppelgänger
		11.3.3 Indexing
	11.4 Abstract Mass Nouns
		11.4.1 Neat Mass Uses of Abstract Mass Nouns
		11.4.2 Crime as a Neat Mass Noun
		11.4.3 Degree Mass Nouns
	11.5 Apologia
	References
Index