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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.
This paper presents two experimental studies investigating the processing of presupposed content. Both studies employ the German additive particle auch (too). In the first study, participants were given a questionnaire containing bi-clausal, ambiguous sentences with 'auch' in the second clause. The presupposition introduced by auch was only satisfied on one of the two readings of the sentence, and this reading corresponded to a syntactically dispreferred parse of the sentence. The prospect of having the auch-presupposition satisfied made participants choose this syntactically dispreferred reading more frequently than in a control condition. The second study used the self-paced-reading paradigm and compared the reading times on clauses containing auch, which differed in whether the presupposition of auch was satisfied or not. Participants read the clause more slowly when the presupposition was not satisfied. It is argued that the two studies show that presuppositions play an important role in online sentence comprehension and affect the choice of syntactic analysis. Some theoretical implications of these findings for semantic theory and dynamic accounts of presuppositions as well as for theories of semantic processing are discussed.
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.
Die Bezeichnung von Anzahlen durch Numeralia und andere sprachliche Mittel ist ein universelles Charakteristikum natürlicher Sprachen, ein Sachverhalt, der bereits auf die große Bedeutung des Zahlkonzepts für das menschliche Denken hinweist: Der Begriff der Zahl, der in der Auffassung diskreter Objekte wurzelt, bildet nach neueren kognitionswissenschaftlichen Ansätzen neben dem Begriff des Raumes - der kontinuierlichen Einheit - das grundlegende Mittel zur Erfassung der Wirklichkeit.
Seit Frege (1891, 1892) werden generelle Termini wie „Tisch“, „Einhorn“ u.ä. logisch als Prädikate analysiert, d.h. sie werden als Begriffswörter angesehen, deren wesentliches Merkmal ihr Status als ungesättigter Ausdruck ist. Als solcher eröffnen sie eine Leerstelle für einen Argumentausdruck. Dieser muß einen Gegenstand denotieren; der so gesättigte Begriffsausdruck bezeichnet dann einen Wahrheitswert. Nach dieser Analyse werden generelle Termini somit als Bezeichnungen für Funktionen analysiert, deren Definitionsbereich Gegenstände und deren Wertebereich Wahrheitswerte sind. Ebenso wie intransitive Verben gelten sie damit als Ausdrücke, die zusammen mit einem Eigennamen einen assertorischen Satz bilden.