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- Adrian Brasoveanu, Structured Anaphora to Quantifier Domains: A Unified Account of Quantificational & Modal Subordination and Exceptional Wide Scope.The paper proposes a novel analysis of quantificational subordination, e.g. Harvey courts a woman at every convention. {She is very pretty. vs. She always comes to the banquet with him.} (Karttunen 1976), in particular of the fact that the indefinite in the initial sentence can have wide or narrow scope, but the first discourse as a whole allows only for the wide scope reading, while the second discourse allows for both readings. The cross-sentential interaction between scope and anaphora is captured in terms of structured anaphora to quantifier domains, formalized in a new dynamic system couched in classical type logic; given the underlying type logic, Montague-style compositionality at sub-clausal level follows automatically. Modal subordination (Roberts 1987) is analyzed in a parallel way, thereby capturing the parallels between the individual and modal domains argued for in Stone (1999). Several other phenomena are analyzed in terms of structured anaphora: exceptional wide scope, weak / strong donkey readings, anaphoric / uniqueness-implying definite descriptions and interactions between same / different and quantifier scope.
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In this volume, Geurts takes discourse representation theory (DRT), and turns it into a unified account of anaphora and presupposition, which he applies not only to the standard problem cases but also to the interpretation of modal expressions, attitude reports, and proper names. The resulting theory, for all its simplicity, is without doubt the most comprehensive of its kind to date. The central idea underlying Geurts' 'binding theory' of presupposition is that anaphora is just a special case of presupposition projection. But this is only one of the ways in which the concept of presupposition is taken beyond its traditional limits. Geurts shows, furthermore, that presupposition projection is crucially involved in several phenomena that are not usually viewed in presuppositional terms, such as modal subordination, de re readings of attitude reports, and rigid designation. While making his case for DRT and the binding theory, Geurts also presents an incisive analysis of what is probably still the most influential account of presupposition, viz. the satisfaction theory, demonstrating that there are fundamental problems not only with this theory but with the very framework in which it is couched.
The paper argues that two distinct and independent notions of plurality are involved in natural language anaphora and quantification: plural reference (the usual non-atomic individuals) and plural discourse reference, i.e., reference to a quantificational dependency between sets of objects (e.g., atomic/non-atomic individuals) that is established and subsequently elaborated upon in discourse. Following van den Berg (PhD dissertation, University of Amsterdam, 1996), plural discourse reference is modeled as plural information states (i.e., as sets of variable assignments) in a new dynamic system couched in classical type logic that extends Compositional DRT (Muskens, Linguistics and Philosophy, 19, 143–186, 1996). Given the underlying type logic, compositionality at sub-clausal level follows automatically and standard techniques from Montague semantics become available. The idea that plural info states are semantically necessary (in addition to non-atomic individuals) is motivated by relative-clause donkey sentences with multiple instances of singular donkey anaphora that have mixed (weak and strong) readings. At the same time, allowing for non-atomic individuals in addition to plural info states enables us to capture the intuitive parallels between singular and plural (donkey) anaphora, while deriving the incompatibility between singular (donkey) anaphora and collective predicates. The system also accounts for empirically unrelated phenomena, e.g., the uniqueness effects associated with singular (donkey) anaphora discussed in Kadmon (Linguistics and Philosophy, 13, 273–324, 1990) and Heim (Linguistics and Philosophy, 13, 131–177, 1990) among others.
Quantificational arguments can take scope outside of temporal adjunct clauses, in an apparent violation of locality restrictions: the sentence few secretaries cried after each executive resigned allows the quantificational NP each executive to take scope above few secretaries. I show how this scope relation is the result of local operations: the adjunct clause is a temporal generalized quantifier which takes scope over the main clause (Pratt and Francez, Linguistic and Philosophy 24(2), 187–222. [2001]), and within the adjunct clause, the quantificational argument takes scope above the implicit determiner which forms the temporal generalized quantifier. The paper explores various relations among quantificational arguments across clause boundaries, including temporal clauses that are modified internally by a temporal adverbial and temporal clauses with embedded sentential complements.
donkey anaphora, quantificational and modal subordination, static and dynamic approaches to mood, tense and aspect, entailment in natural language, parallels between the individual, temporal and modal domain.
donkey anaphora, quantificational and modal subordination, static and dynamic approaches to mood, tense and aspect, entailment in natural language, parallels between the individual, temporal and modal domain.
In the semantic literature, there is a class of examples involving anaphora in intensional contexts, i.e. under the scope of modal operators or propositional attitude predicates, which display anaphoric relations that appear at first glance to violate otherwise well-supported generalizations about operator scope and anaphoric potential. In Section 1,I will illustrate this phenomenon, which, for reasons that should become clear below, I call modal subordination; I will develop a general schema for its identification, and show how it poses problems for most theories of scope and anaphoric relations. In Section 2, I will review the main approaches which have been considered in attempting to account for modal subordination and argue that only an approach involving accommodation can account for the full range of examples. The notion of accommodation is due to Lewis, who defines it as follows: If at time t something is said that requires presupposition P to be acceptable, and if P is not presupposed just before t, then - ceteris paribus and within certain limits - presupposition P comes into existence at t.(Lewis 1979: 340) The interesting question, of course, is what the limits on accommodation might be. I believe that the proper account of modal subordination has something to say about this. I will argue this briefly in section 3, where I draw some conclusions and also sketch some ...
The paper proposes the first unified account of deictic/sentence-external and sentence-internal readings of singular different . The empirical motivation for such an account is provided by a cross-linguistic survey and an analysis of the differences in distribution and interpretation between singular different , plural different and same (singular or plural) in English. The main proposal is that distributive quantification temporarily makes available two discourse referents within its nuclear scope, the values of which are required by sentence-internal uses of singular different to be distinct, much as its deictic uses require the values of two discourse referents to be distinct. Thus, we take sentence-internal readings to be a form of ‘association with distributivity’ that is similar to association with focus. The contrast between singular different , plural different and same is explained in terms of several kinds of quantificational distributors that license their internal readings. The analysis is executed in a stack-based dynamic system couched in type logic, so we get compositionality in the usual Montagovian way. Quantificational subordination and dependent indefinites in various languages provide additional motivation for the account. Investigating the connections between items with sentence-internal readings and the quantificational licensors of these readings opens up a larger project of formally investigating (i) the typology of quantificational distributors and distributivity-dependent items and (ii) the fine-grained contexts of evaluation needed to capture this typological variation.
The paper proposes a novel account to the problem of exceptional scope (ES) of (in)definites, e.g. the widest and intermediate scope readings of the sentence Every student of mine read every poem that a famous Romanian poet wrote before World War II. We propose that ES readings are available when the sentence is interpreted as anaphoric to quantificational domains and quantificational dependencies introduced in the previous discourse. For example, the two every quantifiers and the indefinite elaborate on the sets of individuals and the correlations between them introduced by a previous sentence like Every student chose a poet and read every poem written by him (for the intermediate scope reading) or a sentence like Every student chose a poet - the same poet - and read every poem written by him (for the widest scope reading). Our account, formulated within a compositional dynamic system couched in classical type logic, relies on two independently motivated assumptions: (a) the discourse context stores not only (sets of) individuals, but also quantificational dependencies between them, and (b) quantifier domains are always contextually restricted. Under this analysis, (in)definites are unambiguous and we do not resort to movement or special storage mechanisms, nor do weposit special choice-functional variables.
The paper proposes an account of the contrast (noticed in Karttunen 1976) between the interpretations of the following two discourses: Harvey courts a girl at every convention. {She is very pretty. vs. She always comes to the banquet with him.}. The initial sentence is ambiguous between two quantifier scopings, but the first discourse as a whole allows only for the wide-scope indefinite reading, while the second allows for both. This cross-sentential interaction between quantifier scope and anaphora is captured by means of a new dynamic system couched in classical type logic, which extends Compositional DRT (Muskens 1996) with plural information states (modeled, following van den Berg 1996, as sets of variable assignments). Given the underlying type logic, compositionality at sub-clausal level follows automatically and standard techniques from Montague semantics become available. The paper also shows that modal subordination (A wolf might come in. It would eat Harvey first) can be analyzed in a parallel way, i.e. the system captures the anaphoric and quantificational parallels between the individual and modal domains argued for in Stone (1999) (among others). In the process, we see that modal / individual-level quantifiers enter anaphoric connections as a matter of course, usually functioning simultaneously as both indefinites and pronouns.
The purpose of this paper is to (a) show that the received view of the problem of quantificational subordination (QS) is incorrect, and that, consequently, existing solutions do not succeed in explaining the facts, and (b) provide a new account of QS. On the received view of QS within dynamic semantic frameworks, determiners treated as universal quantifiers (henceforth universal determiners) such as all, every, and each behave as barriers to inter-sentential anaphora yet allow anaphoric accessibility in a number of situations. We argue that universal determiners are not intrinsic anaphora barriers and that anaphoric accessibility under them is enabled factors including lexicon information and discourse effects of universal determiners. In support of this viewpoint, we first provide a data survey on the phenomena of QS and its interactions with plurals, rhetorical relations, and adverbial quantification. The results of the survey show that judgments of (naive) native English speakers on the QS examples are quite different from what is claimed in the literature. We argue that the various solutions in the literature, which in general accept that universal determiners are intrinsic anaphora barriers, fail to account for the facts from the survey data. We then describe the approach we adopt, which denies that universal determiners are anaphora barriers and reconstructs their semantics so that information in their scope can be released for anaphora. The constraints on QS noted in the literature we model in Segmented Discourse Representation Theory (SDRT) as conditions on the discourse relations which can hold between subordinated constituents. We show that this approach accounts for the QS data.
Discussion of Adrian Brasoveanu, Structured anaphora to quantifier domains: A unified account of quantificational & modal subordination and exceptional wide scope
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