The paper proposes a formal account of Aristotle's trichotomy of verbs, in terms of properties of their continuous tensings, into S(state)-verbs, K(kinesis)-verbs, and E-(energeia)-verbs. Within a Fregean tense framework in which predicates are relativized to times, an account of the continuous tenses is presented and a preliminary account of the trichotomy devised, which permits an illuminating analogy to be drawn between the temporal properties of E- and K-verbs and the spatial properties of stuffs and substances. This analogy is drawn upon (...) in constructing a sophisticated version of the preliminary theory accommodating more of the linguistic data. (shrink)

The sentence Irving was closer to me than he was to most of the others contains a quantifier, most of the other, in the scope a comparative. The first part of this paper explains the challenges presented by such cases to existing approaches to the semantics of the comparative. The second part presents a new analysis of comparatives based on intervals rather than points on a scale. This innovation is analogized to the move from moments to intervals in tense semantics. (...) The remainder of the paper is concerned with an interval-based semantics of degree in relation to issues other than the comparative proper. The paper begins with a discussion of the role negative polarity has played in studies on the semantics of comparatives. (shrink)

This papers argues that the apparent constraint of adverbials like 'for two hours' (or 'throughout the house') should not be viewed as a restriction to telic events or event predicates, but should be explained entirely in terms of the quantificational status of such adverials, acting as quantifiers over (contextually individuated) parts of a time interval (or spatial region).

The standard analysis of quantification says that determiner quantifiers (such as every) take an NP predicate and create a generalized quantifier. The goal of this paper is to subject these beliefs to crosslinguistic scrutiny. I begin by showing that in St'á'imcets (Lillooet Salish), quantifiers always require sisters of argumental type, and the creation of a generalized quantifier from an NP predicate always proceeds in two steps rather than one. I then explicitly adopt the strong null hypothesis that the denotations of (...) quantifiers should be crosslinguistically uniform. Since the Salish data cannot be captured by the usual analysis of English, I pursue the idea that English is reducible to the Salish pattern. Reanalysis of many English constructions is required. I argue that the reanalysis has advantages over the standard analysis for partitives, as well as for non-partitive all- and most-phrases, which I analyze as containing bare plurals of argumental type. Even where the new analysis faces some challenges (for example, with every), the attempt still leads to fruitful results. It forces us to view familiar constructions in a new light, and to redefine, I believe correctly, which quantificational constructions are ‘basic’ and which stand in need of further explanation. (shrink)

This paper pursues some of the consequences of the idea that there are (at least) two sources for distributive/cumulative interpretations in English. One source is lexical pluralization: All predicative stems are born as plurals, as Manfred Krifka and Fred Landman have argued. Lexical pluralization should be available in any language and should not depend on the particular make-up of its DPs. I suggest that the other source of cumulative/distributive interpretations in English is directly provided by plural DPs. DPs with plural (...) agreement features can ‘release’ those features to pluralize adjacent verbal projections. If there is a lexical source for distributive/cumulative interpretations, there should be instances of such interpretations with singular DPs. But there should also be cases of distributive/cumulative interpretations that require the presence of DPs with plural agreement morphology. (shrink)

The notion of measurement plays a central role in human cognition. We measure people’s height, the weight of physical objects, the length of stretches of time, or the size of various collections of individuals. Measurements of height, weight, and the like are commonly thought of as mappings between objects and dense scales, while measurements of collections of individuals, as implemented for instance in counting, are assumed to involve discrete scales. It is also commonly assumed that natural language makes use of (...) both types of scales and subsequently distinguishes between two types of measurements. This paper argues against the latter assumption. It argues that natural language semantics treats all measurements uniformly as mappings from objects (individuals or collections of individuals) to dense scales, hence the Universal Density of Measurement (UDM). If the arguments are successful, there are a variety of consequences for semantics and pragmatics, and more generally for the place of the linguistic system within an overall architecture of cognition. (shrink)

This book is a thesis submitted to the Faculty of Arts of the University of Utrecht. It was prepared under the supervision of Prof. Dr. H. Schultink. I would like to express my gratitude to him for his criticisms of earlier versions which led to many improvements, in particular with respect to the exposition of the argument. To my co-referent Dirk van Dalen, reader in the Department of Philo sophy (,Centrale Interfaculteit') of the University of Utrecht, I am greatly indebted (...) for his valuable and fruitful suggestions about problems relevant to both linguistics and logic. Several ideas developed in this study owe their present concrete form to our many discussions. This thesis originates in syntactic research into the Aspects carried out in 1967 under the supervision of Albert Kraak, professor at the University of Nijmegen, who ever since gave much attention to my work in progress. I am very grateful to him for his careful and stimulating criticism as well as for the continuous support he gave me during these years. The present study closely relates to the work of my colleague Wim Klooster with regard to both its theoretical framework and its subject matter. Our joint work on the measurement of duration in Dutch is an integral part of the argument. I have greatly profited from the numerous discussions we have had. (shrink)

An analysis of the structural properties of collections or pluralities, homogeneous objects like water, and the semantics and philosophy of events.

The main claim of this book is that the very same distinction between semantic singularity and plurality that is fundamental to the semantics of nouns in the nominal domain is operative and fundamental in the verbal domain as well, applying ...

This extended investigation of the semantics of event (and state) sentences in their various forms is a major contribution to the semantics of natural language, simultaneously encompassing important issues in linguistics, philosophy, and logic. It develops the view that the logical forms of simple English sentences typically contain quantification over events or states and shows how this view can account for a wide variety of semantic phenomena. Focusing on the structure of meaning in English sentences at a &"subatomic&" level&-that is, (...) a level below the one most theories accept as basic or &"atomic&"&-Parsons asserts that the semantics of simple English sentences require logical forms somewhat more complex than is normally assumed in natural language semantics. His articulation of underlying event theory explains a wide variety of apparently diverse semantic characteristics of natural language, and his development of the theory shows the importance of seeing the distinction between events and states. Parsons demonstrates that verbs, also, indicate kinds of actions rather than specific, individual actions. Verb phrases, too, he argues, depend on modifiers to make their function and meaning in a sentence specific. An appendix gives many of the details needed to formalize the theory discussed in the body of the text and provides a series of templates that permit the generation of atomic formulas of English. (shrink)

The traditional answer is: they must be atelic. But as we will see, this notion is imprecise. We will improve on it, without rejecting it. (Basically we’ll end up with temporally vs. spatially telic.).

In the formation of extended noun phrases, expressions are used that describe some dimension. Weight is described by each of the prenominal expressions in heavy rock, too much ballast, 2 lb rock, 2 lbs of rocks. The central claim of this paper is that the position of these types of expressions within the noun phrase limits the kinds of dimensions they may describe. The limitations have to do with whether or not the dimension tracks relevant part-whole relations. An analogy is (...) made between these constraints and the well-known constraints on thematic relations that are incurred by the position of a noun phrase in a clause. A proposal is made about the meanings of expressions like too much and 2 pounds which explains their common cross-categorial distribution and this informs the analysis of their use in noun phrases. A position is taken on the meaning of the count mass distinction which, in conjunction with the hypothesis about dimensions, explains asymmetries in the distribution of prenominal adjectives with count and mass nouns. (shrink)

The distinction between telic and atelic predicates has been described in terms of the algebraic properties of their meaning since the early days of model-theoretic semantics. This perspective was inspired by Aristotle’s discussion of types of actions that do or do not take time to be completed1 which was taken up and turned into a linguistic discussion of action-denoting predicates by Vendler (1957). The algebraic notion that seemed to be most conducive to express the Aristotelian distinction appeared to be the (...) mereological notion of a part, applied to the time at which these predicates hold: atelic predicates, like push a cart, have the subinterval property, that is, whenever they are true at a time interval, then they are true at any part of that interval; this does not hold for telic predicates, like eat an apple, cf. Bennett & Partee (1972), Taylor (1977), and Dowty (1979)2. Bach (1986) integrated these insights into a semantics based on events. (shrink)

(1) a. The fog extended from London toward Paris. (the state reading is an extent reading (Jackendoff 1990)) b. Debris covered the outfield. c. Water filled the glass.