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- Alastair Butler (2007). Scope Control and Grammatical Dependencies. Journal of Logic, Language and Information 16 (3).This paper develops a semantics with control over scope relations using Vermeulen’s stack valued assignments as information states. This makes available a limited form of scope reuse and name switching. The goal is to have a general system that fixes available scoping effects to those that are characteristic of natural language. The resulting system is called Scope Control Theory, since it provides a theory about what scope has to be like in natural language. The theory is shown to replicate a wide range of grammatical dependencies, including options for, and constraints on, ‘donkey’, ‘binding’, ‘movement’, ‘Control’ and ‘scope marking’ dependencies.
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Abstract If voters do not understand the programs of rival candidates or their likely consequences, they cannot rationally exercise control over government. An ignorant electorate cannot achieve true democratic control over public policy. The immense size and scope of modern government makes it virtually impossible for voters to acquire sufficient knowledge to exercise such control. The problem is exacerbated by voters? strong incentive to be ?rationally ignorant? of politics. This danger to democracy cannot readily be circumvented through ?shortcut? methods of economizing on voter knowledge costs. A truly democratic government must, therefore, be strictly limited in scope.
It is well known that in certain environments the scope of a moved quantifier phrase can be determined at either its pre-movement position (“scope reconstruction”) or its postmovement position (“surface scope”). Thus the familiar ambiguity of (1) results from two choices for the scope of the moved QP. Under scope reconstruction, the scope of the moved existential QP is the sister of the pre-movement position (i.e. the sister of t, [to win the lottery]), while under surface scope it is the sister of the post-movement position (i.e. [is likely t to win the lottery]). The two scope possibilities yield different semantic interpretations, corresponding to the paraphrases in (2). (1) Someone from New York is likely t to win the lottery (2) a. It is likely that there will be someone from New York who wins the lottery..
Wide-scopers argue that the detachment of intuitively false ‘ought’ claims from hypothetical imperatives is blocked because ‘ought’ takes wide, as opposed to narrow, scope. I present two arguments against this view. The first questions the premise that natural language conditionals are true just in case the antecedent is false. The second shows that intuitively false ‘ought’s can still be detached even WITH wide-scope readings. This weakens the motivation for wide-scoping.
It is well known that indefinite phrases are more liberal in taking scope than other quantifying phrases. In general, the scope of indefinites is not limited by the finite clause in which they occur, although the scope of universal quantifiers is. Wh-phrases behave very much like indefinites: in languages with wh in situ, their scope need not be restricted by anything like clause boundedness.
Dynamic Predicate Logic (DPL) is a variant of Predicate Logic introduced by Groenendijk and Stokhof. One rationale behind the introduction of DPL is that it is closer to Natural Language than ordinary Predicate Logic in the way it treats scope. In this paper I develop some variants of DPL that can more easily approximate Natural Language in some further aspects. Specifically I add flexibility in the treatment of polarity and and some further flexibility in the treatment of scope.
Quantified terms are terms of generality. They are also provide some of our prime examples of the phenomenon of scope. The distinction between singular and general terms, as well as the ways that general terms enter into scope relations, are certainly fundamental to our understanding of language. Yet when we turn to natural language, we encounter a huge and apparently messy collection of general terms; not just every and some, but most, few, between five and ten, and many others. Natural-language sentences also display a complex range of scope phenomena; unlike first-order logic, which clearly and simply demarcates scope in its notation.
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 rst lays out a non-congurational approach to scope ambiguities in which scope dependencies are treated as dependencies between evaluation indices of variables. The notions of dependent and domain variables are dened naturally in this framework. These concepts are then used to account for the distribution and interpretation of determiner reduplication in Hungarian, a phenomenon that has not received much attention so far.1 1. Introduction This paper contributes to the study of the semantics of indenites in natural language by introducing on the scene a new type of indenite, called dependent. We meet it in Hungarian, where one may reduplicate certain determiners, as illustrated in [1]-[3].
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This paper presents a new take on how argument dependencies in natural language are established and constrained. The paper starts with a rather standard view that (quantificational) argument dependencies are operator-variable dependencies. The interesting twist the paper offers is to eliminate the need for syntax that serves to enforce what the operator-variable dependencies are. Instead the role of ensuring grammatical and generally unambiguous forms is taken up by semantics imposing what are dependency requirements for any interpretation to go through at evaluation time. With this viewpoint there emerges an essential need for localities as the hiding of (embedded) expression material, together with a (limited) form of garbage collection to release grammatical resources used in the current locality for reuse in subsequent localities.
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