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- Peter Pagin (2005). Compositionality and Context. In Gerhard Preyer & Georg Peter (eds.), Contextualism in Philosophy: Knowledge, Meaning, and Truth. Oxford University Press.This paper contains a discussion of how the concept of compositionality is to be extended from context invariant to context dependent meaning, and of how the compositionality of natural language might conflict with context dependence. Several new distinctions are needed, including a distinction between a weaker (e-) and a stronger (ec-) concept of compositionality for context dependent meaning. The relations between the various notions are investigated. A claim by Jerry Fodor that there is a general conflict between context dependence and compositionality is considered. There is in fact a possible conflict betwee ec-compositionality and context dependence, but not of the kind Fodor suggests. It turns on the presence of so-called unarticulated constituents, in John Perry’s sense. Because of this phenomenon, on some semantic accounts there might be a variation in the meaning of a complex expression between contexts without any corresponding variation in any of the syntactic parts of that complex. The conflict can be resolved in several ways. One way is to make the unarticulated context dependence explicit only in the meta-language, which makes it into an unarticulated constituent account. A recent argument by Jason Stanley against such accounts is discussed. According to Stanley, certain readings of English sentences involving binding of contextual variables, are unavailable in these theories. After considering a reply to Stanley by François Recanati, I present an outline of a fully compositional theory, of the unarticulated constituent variety, which does deliver these readings. Concluding remarks on, inter alia, the semantics/pragmatics distinction.
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Ordinary semantic compositionality (meaning of whole determined from meanings of parts plus composition) can serve to explain how a hearer manages to assign an appropriate meaning to a new sentence. But it does not serve to explain how the speaker manages to find an appropriate sentence for expressing a new thought. For this we would need a principle of inverse compositionality, by which the expression of a complex content is determined by the expressions of it parts and the mode of composition. But this presupposes that contents have constituent structure, and this cannot be taken for granted. However, it can be proved that if a certain principle of substitutivity is valid for a particular language, then the meanings expressed by its sentences can justifiably be treated as structured. In its simplest form, this principle says that if in a complex expression a constituent is replaced by another constituent with a different meaning, the new complexhas a meaning different from the original. This principle is again inversely related to the normal compositional principle of substitutivity. The combination of ordinary and inverse compositionality is here called strong compositionality. The proof is carried out in the algebraic framework developed by Wilfrid Hodges and Dag Westerståhl.
Some utterances of sentences such as ‘Every student failed the midterm exam’ and ‘There is no beer’ are widely held to be true in a conversation despite the facts that not every student in the world failed the midterm exam and that there is, in fact, some beer somewhere. For instance, the speaker might be talking about some particular course, or about his refrigerator. Stanley and Szabó (in Mind and Language v. 15, 2000) consider many different approaches to how contextual information might give meaning to these ‘restricted quantifier domains’, and find all of them but one wanting. The present paper argues that their considerations against one of these other theories, considerations that turn on notions of compositionality, are incorrect.
In the early part of the paper, I attempt to explain a dispute between two parties who endorse the compositionality of language but disagree about its implications: Paul Horwich, and Jerry Fodor and Ernest Lepore. In the remainder of the paper, I challenge the thesis on which they are agreed, that compositionality can be taken for granted. I suggest that it is not clear what compositionality involves nor whether it obtains. I consider some kinds of apparent counterexamples, and compositionalist responses to them in terms of covert indexicality and unspecific meanings. I argue that the last option is the best for most of the cases I consider. I conclude by stressing, as against Horwich and Fodor and Lepore, that the appropriate question concerns the extent to which compositionality obtains in a natural language, rather than whether it obtains or not, so that the answer is essentially messy, requiring detailed consideration of a wide range of examples.
In the context of debates about what form a theory of meaning should take, it is sometimes claimed that one cannot understand an intersective modifier-head construction (e.g., ‘pet fish’) without understanding its lexical parts. Neo-Russellians like Fodor and Lepore contend that non-denotationalist theories of meaning, such as prototype theory and theory theory, cannot explain why this is so, because they cannot provide for the ‘reverse compositional’ character of meaning. I argue that reverse compositionality is a red herring in these debates. I begin by setting out some positive arguments for reverse compositionality and showing that they fail. Then I show that the principle of reverse compositionality has two big strikes against it. First, it is incompatible with all theories of meaning on the market, including the denotationalism favored by neo-Russellians. Second, it explains nothing that is not already explained by its venerable predecessor, the principle of (forward) compositionality.
Philosophers and logicians use the term “indexical” for words such as “I”, “you” and “tomorrow”. Demonstratives such as “this” and “that” and demonstratives phrases such as “this man” and “that computer” are usually reckoned as a subcategory of indexicals. (Following [Kaplan, 1989a].) The “context-dependence” of indexicals is often taken as a defining feature: what an indexical designates shifts from context to context. But there are many kinds of shiftiness, with corresponding conceptions of context. Until we clarify what we mean by “context”, this defining feature remains unclear. In sections 1–3, which are largely drawn from [Perry, forthcoming(a)], I try to clarify the sense in which indexicals are context-dependent and make some distinctions among the ways indexicals depend on context. In sections 3–6, I contrast indexicality with another phenomenon that I call “unarticulated constituents.”.
It’s been, for some time now, a pet thesis of ours that compositionality is the key constraint on theories of linguistic content. On the one hand, we’re convinced by the usual arguments that the compositionality of natural languages1 explains how L-speakers can understand any of the indefinitely many expressions that belong to L. 2 And, on the other hand, we claim that compositionality excludes all “pragmatist” 3 accounts of content; hence, practically all of the theories of meaning that have been floated by philosophers and cognitive scientists for the last fifty years or so. A number of objections to our claim have been suggested to us, but none that we find persuasive (see, for example, the discussions of the “uniformity principle” and of “reverse compositionality” in Fodor and Lepore 2002). These objections have a common thread: they all grant that mental and linguistic content are compositional but challenge the thesis that compositionality is incompatible with semantic pragmatism. In this paper, we want to consider an objection of a fundamentally different kind, namely, that it doesn’t matter whether compositionality excludes semantic pragmatism because compositionality isn’t true; the content of an expression supervenes not on its linguistic structure4 alone but on its linguistic structure together with the context of its tokening. 5..
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It’s been, for some time now, a pet thesis of ours that compositionality is the key constraint on theories of linguistic content. On the one hand, we’re convinced by the usual arguments that the compositionality of natural languages1 explains how L-speakers can understand any of the indefinitely many expressions that belong to L.2 And, on the other hand, we claim that compositionality excludes all “pragmatist”3 accounts of content; hence, practically all of the theories of meaning that have been floated by philosophers and cognitive scientists for the last fifty years or so. A number of objections to our claim have been suggested to us, but none that we find persuasive (see, for example, the discussions of the “uniformity principle” and of “reverse compositionality” in Fodor and Lepore 2002). These objections have a common thread: they all grant that mental and linguistic content are compositional but challenge the thesis that compositionality is incompatible with semantic pragmatism. In this paper, we want to consider an objection of a fundamentally different kind, namely, that it doesn’t matter whether compositionality excludes semantic pragmatism because compositionality isn’t true; the content of an expression supervenes not on its linguistic structure4 alone but on its linguistic structure together with the context of its tokening.5..
This is the first part of a two-part article on semantic compositionality, that is, the principle that the meaning of a complex expression is determined by the meanings of its parts and the way they are put together. Here we provide a brief historical background, a formal framework for syntax and semantics, precise definitions, and a survey of variants of compositionality. Stronger and weaker forms are distinguished, as well as generalized forms that cover extra-linguistic context dependence as well as linguistic context dependence. In the second article, we survey arguments for and arguments against the claim that natural languages are compositional, and consider some problem cases. It will be referred to as Part II.
Starting from the familiar observation that no straightforward treatment of pure quotation can be compositional in the standard (homomorphism) sense, we introduce general compositionality, which can be described as compositionality that takes linguistic context into account. A formal notion of linguistic context type is developed, allowing the context type of a complex expression to be distinct from those of its constituents. We formulate natural conditions under which an ordinary meaning assignment can be non-trivially extended to one that is sensitive to context types and satisfies general compositionality. As our main example we work out a Fregean treatment of pure quotation, but we also indicate that the method applies to other kinds of context, e.g. intensional contexts.
Discussion of Peter Pagin, Compositionality and context
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