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Early work on quantification in natural languages showed that sentences like 'Every ape picked different berries', on the reading that the sets of berries picked by any two apes are not the same, can be logically represented with a single polyadic quantifier for the two nominal phrases. However, since that quantifier cannot be decomposed into two quantifiers for the two nominal phrases, a compositional semantic analysis of this reading is not possible under standard assumptions about syntax and semantics. This paper shows how a constraint-based semantics with Lexical Resource Semantics can define a systematic syntax-semantics interface which captures the reading in question with a polyadic quantifier.
Dog after dog revisited
(2006)
This paper presents a compositional semantic analysis of pluractional adverbial modifiers like 'dog after dog' and 'one dog after the other'. We propose a division of labour according to which much of the semantics is carried by a family of plural operators. The adverbial itself contributes a semantics that we call pseudoreciprocal.
There is an elegant account, proposed by Beaver and Condoravdi (2003), that assumes that the temporal connectives before and after are converses (i.e., they are analyzed by means of a unified lexical schema), and that explains away their different logical and veridical behavior appealing to other factors. There is an elegant explanation that connects the licensing of Polarity Items to informational strengthening requirements: Polarity Items are viewed as existentials that lead to a widening of the domain of quantification, and they are predicted to be legitimate only when this widening leads to a stronger statement (roughly, in downward monotone contexts). My plan is to connect these two approaches – by proposing an amendment in the definition Beaver and Condoravdi presented for before and after that is meant to account also for their Polarity Items licensing behavior.
Modifiability by almost has been used as a test for the quantificational force of a DP without stating the meaning of almost explicitly. The aim of this paper is to give a semantics for almost applying across categories and to evaluate the validity of the almost test as a diagnosis for universal quantifiers. It is argued that almost is similar to other cross-categorial modifiers such as at least or exactly in referring to alternatives ordered on a scale. I propose that almost evaluates alternatives in which the modified expression is replaced by a value close by on the corresponding Horn scale. It is shown that a semantics for almost that refers to scalar alternatives derives the correct truth conditions for almost and explains selectional restrictions. At the same time, taking the semantics of almost seriously invalidates the almost test as a simple diagnosis for the nature of quantifiers.
Functions of English "man"
(2006)
This paper discusses the semantics of the English particle man. It is shown that this particle does different things when used sentence-initially and sentence-finally. The sentenceinitial use is further shown to separate into two distinct intonational types with different semantic content. A formal semantics is proposed for these types.
We propose a compositional analysis for sentences of the kind "You only have to go to the North End to get good cheese", referred to as the Sufficiency Modal Construction in the recent literature. We argue that the SMC is ambiguous depending on the kind of ordering induced by only. So is the exceptive construction – its cross-linguistic counterpart. Only is treated as inducing either a 'comparative possibility' scale or an 'implication-based' partial order on propositions. The properties of the 'comparative possibility' scale explain the absence of the prejacent presupposition that is usually associated with only. By integrating the scalarity into the semantics of the SMC, we explain the polarity facts observed in both variants of the construction. The sufficiency meaning component is argued to be due to a pragmatic inference.
Multiple modals construction
(2006)
Modal items of different semantic types can only be combined in a specific order. Epistemic items, for instance, cannot be embedded under deontic ones. I'll argue that this fact cannot be explained by the current semantic theories of modality. A solution to this problem will be developed in an update semantics framework. On the semantic side, a distinction will be drawn between circumstantial information about the world and information about duties, whereas I'll use Nuyts' notion of m-performativity to account for certain use of the modal items.
The expressions few and a few are typically considered to be separate quantifiers. I challenge this assumption, showing that with the appropriate definition of few, a few can be derived compositionally as a + few. The core of the analysis is a proposal that few has a denotation as a one-place predicate which incorporates a negation operator. From this, argument interpretations can be derived for expressions such as few students and a few students, differing only in the scope of negation. I show that this approach adequately captures the interpretive differences between few and a few. I further show that other such pairs are blocked by a constraint against the vacuous application of a.
This paper revisits the question of whether propositions in situation semantics must be persistent (Kratzer (1989)). It shows that ignoring persistence causes empirical problems to theories which use quantification over minimal situations as a solution for donkey anaphora (Elbourne (2005)), while at the same time modifying these theories to incorporate persistence makes them incompatible with the use of situations for contextual restriction (Kratzer (2004)).