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What role does language play in the development of numerical cognition? In the present paper I argue that the evolution of symbolic thinking (as a basis for language) laid the grounds for the emergence of a systematic concept of number. This concept is grounded in the notion of an infinite sequence and encompasses number assignments that can focus on cardinal aspects ("three pencils"), ordinal aspects ("the third runner"), and even nominal aspects ("bus #3"). I show that these number assignments are based on a specific association of relational structures, and that it is the human language faculty that provides a cognitive paradigm for such an association, suggesting that language played a pivotal role in the evolution of systematic numerical cognition.
In linguistics and the philosophy of language, the mass/count distinction has traditionally been regarded as a bi-partition on the nominal domain, where typical instances are nouns like "beef" (mass) vs."cow" (count). In the present paper, we argue that this partition reveals a system that is based on both syntactic features and conceptual features, and present experimental evidence suggesting that the discrimination of the two kinds of features has a psychological reality.
This article analyses the German discourse particle wohl 'I suppose', 'presumably' as a syntactic and semantic modifier of the sentence types declarative and interrogative. It is shown that wohl does not contribute to the propositional, i.e. descriptive content of an utterance. Nor does it trigger an implicature. The proposed analysis captures the semantic behaviour of wohl by assuming that it moves to SpecForceP at LF, from where it can modify the sentence type operators in Force0 in compositional fashion. Semantically, a modification with wohl results in a weaker commitment to the proposition expressed in declaratives and in a request for a weaker commitment concerning the questioned proposition in interrogatives. Cross-linguistic evidence for a left-peripheral position of wohl (at LF) comes from languages in which the counterpart of wohl occurs in the clausal periphery overtly. Overall, the analysis sheds more light on the semantic properties of the left periphery, in particular of the functional projection ForceP.
This paper focuses on different subtypes of constructions involving temporally bounded quantification, e.g. sequences like David visited Rome three times followed by temporal phrases as different as (i) last year, which defines a time interval; (ii) in less that two months, which defines an amount of time; and (iii) per month, which refers to a time unit. As for the first two types of temporal phrases, data will be presented which shows that they have specific linguistic properties in these quantifying contexts, and do not behave exactly as the locating or duration adverbials they are superficially identical with. The third type of phrases will receive special attention. Structures with frequency adverbials like n times per month will be analysed compositionally, separating the quantified component n times from the temporally binding phrase per month (whose role is comparable to that of adverbials (i) and (ii) in the relevant constructions). The data presented is mainly from Portuguese, although the issues at stake – the linguistic properties of temporally bounded quantification – are obviously relevant to parallel constructions in other languages.
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.
Dealing with alternatives
(2006)
Traditionally, pure additive particles and scalar additive particles are both characterized by an existential presupposition. They differ insofar as the set of alternatives that is built is unordered for the former, and ordered for the latter, which carry the so-called scalar presupposition. As a result, the two characterisations cannot be cumulated, an impossibility that is at odds with the fact that several languages exhibit this combination of readings for a single item. The discussion of Italian neanche '(n)either/(not) even', an item that can both be additive and scalar, allows us to expose the connection between the oppositions non-ordered vs ordered set of alternatives and verified vs accommodated existential presupposition by adding content to the traditional view that the set of alternatives is made up of 'relevant' items in the context. The question of how to characterise this item is set against the backdrop of a more general discussion of the network of additive particles found in Italian.
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.
The German causal preposition durch ('by', 'through') poses a challenge to formal-semantic analyses applying strict compositionality. To deal with this challenge, a formalism which builds on recent important developments in Discourse Representation Theory is developed, including a more elaborate analysis of presuppositional phenomena as well as the integration into the theory of unification as a mode of composition. It is argued that that the observed unificational phenomena belong in the realm of pragmatics, providing an argument for presuppositional phenomena at a sentence- and word-internal level.