Distributive, Collective and Cumulative Quantification

Scha, Remko

doi:10.1515/9783110867602.131

Cited by 119 publications

(116 citation statements)

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“…319-321)-a view we inherit in our own analysis. The mechanism Chaves proposes for the compositional analysis of these predicates is however fundamentally different from our approach; Chaves takes 'respective' readings in cases such as Bill and Tom invited Sue and Anne to the party (respectively) to be nothing more than particular instances of the so-called cumulative reading (Scha 1981), along the lines discussed in Sect. 2 above (p. 4).…”

Section: Chaves (2012)mentioning

confidence: 91%

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The syntax-semantics interface of ‘respective’ predication: a unified analysis in Hybrid Type-Logical Categorial Grammar

Kubota

Levine

2015

Nat Lang Linguist Theory

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This paper proposes a unified analysis of the 'respective' readings of plural and conjoined expressions, the internal readings of symmetrical predicates such as same and different, and the summative readings of expressions such as a total of $10,000. These expressions pose significant challenges to compositional semantics, and have been studied extensively in the literature. However, almost all previous studies focus exclusively on one of these phenomena, and the close parallels and interactions that they exhibit have been mostly overlooked to date. We point out two key properties common to these phenomena: (i) they target all types of coordination, including nonconstituent coordination such as Right-Node Raising and Dependent Cluster Coordination; (ii) the three phenomena all exhibit multiple dependency, both by themselves and with respect to each other. These two parallels suggest that one and the same mechanism is at the core of their semantics. Building on this intuition, we propose a unified analysis of these phenomena, in which the meanings of expressions involving coordination are formally modelled as multisets, that is, sets that allow for duplicate occurrences of identical elements. The analysis is couched in Hybrid Type-Logical Categorial Grammar. The flexible syntax-semantics interface of this framework enables an analysis of 'respective' readings and related phenomena which, for the first time in the literature, yields a simple and principled solution for both the interactions with nonconstituent coordination and the multiple dependency noted above.

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Section: Chaves (2012)mentioning

confidence: 91%

“…4.1.3): at least cases like (4a) can be dealt with by an independently needed mechanism for yielding the so-called cumulative readings of plurals (Scha 1981): (6) 700 Dutch companies used 10,000 American computers.…”

Section: Introductionmentioning

confidence: 99%

The syntax-semantics interface of ‘respective’ predication: a unified analysis in Hybrid Type-Logical Categorial Grammar

Kubota

Levine

2015

Nat Lang Linguist Theory

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“…It has often been suggested that the distributive-collective opposition can be captured by formulating meaning postulates for distributive predicates (e.g. Scha 1981), at least as far as lexical (non-complex) predicates are involved (Winter 2001: Ch. 6).…”

Section: Distributivity and Collectivitymentioning

confidence: 99%

Stratified reference: the common core of distributivity, aspect, and measurement

Champollion

2015

Theoretical Linguistics

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Why can I tell you that I ran for five minutes but not that I *ran to the store for five minutes? Why can we talk about five pounds of books but not about *five pounds of book? What keeps you from saying *sixty degrees Celsius of water when you can say sixty inches of water? And what goes wrong when I complain that *all the ants in my kitchen are numerous? The constraints on these constructions involve concepts that are generally studied separately: aspect, plural and mass reference, measurement, distributivity, and collectivity. This paper provides a unified perspective on these domains and gives a single answer to the questions above in the framework of algebraic event semantics.

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“…A relational plural is a sentence like (1) (from Scha (1984)) which contains two group denoting expressions (the squares and the circles) and something that expresses a relation between those groups (contain in the example). The question is when we can say that a relation holds between two groups.…”

Section: Weak Truth Conditions For Relational Pluralsmentioning

confidence: 99%

“…In general however this prediction is borne out. A pertinent example is given in (40a), which is once more taken from Scha (1984). (40) a.…”

Section: Covers In Relational Pluralsmentioning

confidence: 99%

Exceptions in Relational Plurals

Beck¹

2000

SALT

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Distributive, Collective and Cumulative Quantification

Cited by 119 publications

References 0 publications

The syntax-semantics interface of ‘respective’ predication: a unified analysis in Hybrid Type-Logical Categorial Grammar

The syntax-semantics interface of ‘respective’ predication: a unified analysis in Hybrid Type-Logical Categorial Grammar

Stratified reference: the common core of distributivity, aspect, and measurement

Exceptions in Relational Plurals

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