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- Adam Morton (1999). Where Demonstratives Meet Vagueness: Possible Languages. Proceedings of the Aristotelian Society 99 (1):1–18.I argue that both demonstratives and vague predicates are instances of some more general linguistic phenomena, which could take quite different forms. My argument consists in constructing three natural-like langauges, and using their intelligibility to argue for conclusions about languages such as English.
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Until recently it was standard to think that all demonstratives are directly referential. This assumption has played important roles in work on perception, reference, mental content, and the nature of propositions. But Jeff King claims that demonstratives with a nominal complement (like ‘that dog’) are quantifiers, largely because there are cases in which the semantic value of such a “complex demonstrative” is not simply an object (2001). Although I agree with King that such cases preclude a directly referential, Kaplanian semantics for complex demonstratives, I will argue that without contentious further assumptions they do not vindicate King’s claim that they are quantifiers. This is because familiar pronouns act like King’s examples of complex demonstratives. Indeed, pronouns and complex demonstratives share behavior that even King overlooks. None of this pronoun behavior shows that pronouns are quantifiers, and similarly none of the analogous demonstrative behavior shows that complex demonstratives are quantifiers.
Demonstrative noun phrases (e.g., that guy , this ) are of interest to philosophers of language and semanticists because they are sensitive to demonstrations or speaker intentions. The interpretation of a demonstrative therefore sheds light on the role of the context in natural language semantics. This survey reviews two types of approaches to demonstratives: Kaplan's direct reference treatment of demonstratives and other indexicals, and recent challenges to Kaplan's approach that focus on less obviously context-sensitive uses of demonstratives. The survey then covers selected research on demonstratives in linguistics. This research offers new empirical puzzles and contrasting theoretical approaches to demonstratives.
One of the main reasons for providing formal semantics for languages is that the mathematical precision afforded by such semantics allows us to study and manipulate the formalization much more easily than if we were to study the relevant natural languages directly. Michael Tye and R. M. Sainsbury have argued that traditional set-theoretic semantics for vague languages are all but useless, however, since this mathematical precision eliminates the very phenomenon (vagueness) that we are trying to capture. Here we meet this objection by viewing formalization as a process of building models, not providing descriptions. When we are constructing models, as opposed to accurate descriptions, we often include in the model extra ‘machinery’ of some sort in order to facilitate our manipulation of the model. In other words, while some parts of a model accurately represent actual aspects of the phenomenon being modelled, other parts might be merely artefacts of the particular model. With this distinction in place, the criticisms of Sainsbury and Tye are easily dealt with—the precision of the semantics is artefactual and does not represent any real precision in vague discourse. Although this solution to this problem is independent of any particular semantics a detailed account of how we would distinguish between representor and artefact within Dorothy Edgington's degree-theoretic semantics is presented.
In “Complex Demonstratives: A Quantificational Account” (MIT Press 2001) (henceforth CD), I argued that complex demonstratives are quantifiers. Many philosophers had held that demonstratives, both simple and complex, are referring terms. Since the publication of CD various objections to the account of complex demonstratives I defended in it have been raised. In the present work, I lay out these objections and respond to them.
We propose a shift in perspective from the view of natural languages as formal languages to natural languages as a collection of resources for constructing local languages for use in particular situations. This is suggested by our experience constructing natural language grammars for particular applications using the Grammatical Framework. It points to a research programme investigating how such resources play a role in linguistic innovation by agents constructing situation-specific local languages and how they can be made dynamic, modified by the linguistic agent’s exposure to innovative linguistic data.
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In this paper, I present a new semantics for demonstratives. Now some may think that David Kaplan (1989a,b) has already given a more than satisfactory semantics for demonstratives, and that there is no need for a new one. But I argue below that Kaplan's theory fails to describe the linguistic meanings of 'that' and other true demonstratives. My argument for this conclusion has nothing to do with cognitive value, belief sentences, or other such contentious matters in semantics and the philosophy of mind. Rather, it appeals to the obvious fact that there can be true utterances of certain sentences containing several occurrences of the same demonstrative (for instance, 'That is taller than that'). My argument can be answered by making a fairly modest revision in Kaplan's theory. But I believe that the resulting revised version of Kaplan's theory ignores or distorts various important semantic features of 'that'. Thus I ultimately argue in favor of a more substantial departure from Kaplan's theory. Perhaps the most remarkable feature of the theory I favor is that it ascribes three distinct sorts of meanings to demonstratives.
Stewart Shapiro's ambition in Vagueness in Context is to develop a comprehensive account of the meaning, function, and logic of vague terms in an idealized version of a natural language like English. It is a commonplace that the extensions of vague terms vary according to their context: a person can be tall with respect to male accountants and not tall (even short) with respect to professional basketball players. The key feature of Shapiro's account is that the extensions of vague terms also vary in the course of conversations and that, in some cases, a competent speaker can go either way without sinning against the meaning of the words or the non-linguistic facts. As Shapiro sees it, vagueness is a linguistic phenomenon, due to the kinds of languages that humans speak; but vagueness is also due to the world we find ourselves in, as we try to communicate features of it to each other.
I present three invented languages, in order to support a claim that vagueness and demonstrativity are related. One of them handles vagueness like English handles demonstratives, the second handles demonstratives like English handles vagueness, and the third combines the resources of the first two. The argument depends on the claim that all three can be learned and used by anyone who can speak English.
No categories
A plausible thought about vagueness is that it involves a form of semantic incompleteness. To say that a predicate is vague is to say (at the very least) that its extension is incompletely specified. And where there is incomplete specification of extension there is indeterminacy—an indeterminacy between various ways that the specification of the predicate might be completed or, as some like to say, sharpened (or precisified). We shall argue that this idea is defective insofar as there are vague predicates that cannot be sharpened. At least, there are predicates that are vague but that cannot be sharpened in such a way as to meet certain basic constraints that we think must be imposed on the very notion of a sharpening.
Discussion of Adam Morton, Where demonstratives meet vagueness: Possible languages
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