This paper develops a semantic analysis of data like It is getting colder and colder. Their meaning is argued to arise from a combination of a comparative with pluractionality. The analysis is embedded in a general theory of plural predication and pluractionality. It supports a semantic theory involving a family of syntactic plural operators.

What is the nature and function of mental representations in cognitive science, and in human language in particular? How do they come into existence and interact, and how is the information attributed to them stored in and retrieved from the human mind? Some theories treat constructions as primitive entities used for structure-building, central in both production and comprehension, while other theories only admit construction-like entities as devices to map the structure into semantics or to relate them to specific morphophonological exponents. (...) In this positional piece, we seek to elucidate areas of commonality across what have traditionally been divergent approaches to the role of constructions in language. Here we outline a robust specification of the differences in how chunks of structure containing information are treated in the two main approaches, and we seek to offer a path toward a more unified theoretical stance. (shrink)

The paper develops a uniform compositional analysis of the various readings of the scalar particle still and its German counterpart noch. Noch/still is a presuppositional scalar particle that gives rise to implicatures. Interpretive possibilities arise through different choices for the scale that the particle associates with, different attachment sites in the syntax, and interaction with focus. These interpretive parameters allow for a wide range of possible sentence interpretations, which overlap, but do not coincide for still and noch. The contrastive perspective (...) allows us to examine the role of scales in the grammar. The implicatures triggered by the scalar item open an interesting perspective for the generation of implicatures in general. (shrink)

In this paper I focus on a recently discussed phenomenon illustrated by sentences containing predicates of taste: the phenomenon of " perspectival plurality " , whereby sentences containing two or more predicates of taste have readings according to which each predicate pertains to a different perspective. This phenomenon has been shown to be problematic for (at least certain versions of) relativism. My main aim is to further the discussion by showing that the phenomenon extends to other perspectival expressions than predicates (...) of taste and by proposing a general solution to the problem raised by it on behalf of the relativist. The core claim of the solution (" multiple indexing ") is that utterances of sentences containing perspectival expressions should be evaluated with respect to (possibly infinite) sequences of perspective parameters. (shrink)

This paper explores the hypothesis that all comparative sentences— nominal, verbal, and adjectival—contain instances of a single morpheme that compositionally introduces degrees. This morpheme, sometimes pronounced much, semantically contributes a structure-preserving map from entities, events, or states, to their measures along various dimensions. A major goal of the paper is to argue that the differences in dimensionality observed across domains are a consequence of what is measured, as opposed to which expression introduces the measurement. The resulting theory has a number (...) of interesting properties. It characterizes the notion of ‘measurement’ uniformly across comparative constructions, in terms of non-trivial structure preservation. It unifies the distinctions between mass/count nouns and atelic/telic verb phrases with that between gradable and non-gradable adjectives. Finally, it affords a uniform characterization of semantically anomalous comparisons across categories. (shrink)

The semantic literature takes degree operators like the comparative, but also measure phrases, the equative, the superlative and so on, to be quantifiers over degrees. This is well motivated by their semantic contribution, but leads one to expect far more scope interaction than is actually observed. This paper proposes an alternative-semantic analysis of certain degree constructions, in particular constructions with little and other negative antonyms. Restrictions on scope can then be explained as intervention effects.

Certain measurement-related constructions impose a requirement that the measure function used track the part-whole structure of the domain of measurement, so that a given entity or eventuality must have a larger measurement in the chosen dimension than any of its salient proper parts. I provide evidence from English and Chinese that these constructions can be used to measure the intensity of mental states like hatred and love, indicating that in the natural language ontology of such states, intensity correlates with part-whole (...) structure. A natural language metaphysics of psychological intensity meeting this requirement is then developed and integrated into the semantics. Further complications arise when looking at attitudes like want, wish, and regret, which also permit measurements of intensity in the relevant constructions. To account for such attitudes, the ontology and semantics are then enriched in a way that integrates ordering and quantification over possible worlds into the part-whole structure of attitude states, so that even in these more complicated cases, the constructions at hand have a unified compositional semantics. (shrink)

A central question for ontology is the question of whether numbers really exist. But it seems easy to answer this question in the affirmative. The truth of a sentence like ‘Seven students came to the party’ can be established simply by looking around at the party and counting students. A trivial paraphrase of is ‘The number of students who came to the party is seven’. But appears to entail the existence of a number, and so it seems that we must (...) conclude that numbers exist. This is sometimes called the puzzle of how we can get something from nothing. Most extant attempts to solve the puzzle take it for granted that is ontologically innocent, and focus their attention either on or on the transition from to. We argue that both attempts go wrong at the first step: the assumption that is ontologically innocent is undermined by a highly attractive and independently well-motivated degree-based account of number word constructions. Thus the degree-based account provides a straightforward linguistic resolution of the puzzle of how we can get something from nothing. But the paper also has a second aim. The semantics we present treats ‘seven’ as a referring expression that refers to a degree of a certain sort. But what are degrees? We consider various anti-platonist proposals that seek to account for degrees in terms of relations between concrete entities, and argue that they are incompatible with the Universal Density of Measurement hypothesis of Fox and Hackl. While the UDM cannot yet claim to be the consensus view among degree-based semanticists, our aim is to use it to illustrate how views about the nature of degrees can be evaluated by considering the properties degrees must have if they are to play the explanatory roles they are called upon to play in linguistics. In the present state of development of degree-based semantics there are difficult open questions about what these properties are. These questions need to be addressed if we are to develop a clear picture of what natural language semantics has to contribute to ontology and metaphysics. (shrink)

We present a set of experiments investigating how English- and Japanese-speaking children interpret Measure Phrase comparatives. We show that despite overt cues to the comparative interpretation, children representing both languages diverge from their adult counterparts in that they access a non-adult-like ‘absolute measurement’ interpretation. We propose to account for their response pattern by appealing to proposals by Svenonius and Kennedy and Sawada and Grano that Meas in the head of the DegP, which houses the differential, selects for an absolute minimal (...) value: zero. We argue that young children appeal to this absolute zero minimum in lieu of the correct derived standard, and must learn to override this value by appealing to the context to set the standard of comparison when interpretation requires them to do so. (shrink)