A language is specified by a Lexicon and a Grammar. A constructive grammar goes like this: The Lexicon provides a set of items. The items are associated with Categories and Denotations. The Grammar gives a recursive specification of the language by defining sets of derived expressions starting with the Lexicon as the base and allowing the combination of lexical items into expressions with their Categories and Denotations, by a rule-to-rule procedure, and so on ad libitum.

Theme of two lectures: how does meaning work in grammar and lexicon? General question: Are morphemes the minimal meaningful units of language? Are the meanings of the parts of words of the same kind as those of syntax? The answer to this question has an obvious bearing on the question of the derivation of complex words "in the syntax." Is the split between syntax and morphology the proper division for asking the previous question? Answer: No. The crucial distinction is that (...) between grammar and lexicon. Framework: model theoretic semantics and constructive categorial syntax.. (shrink)

This book examines the hypothesis of "direct compositionality", which requires that semantic interpretation proceed in tandem with syntactic combination. Although associated with the dominant view in formal semantics of the 1970s and 1980s, the feasibility of direct compositionality remained unsettled, and more recently the discussion as to whether or not this view can be maintained has receded. The syntax-semantics interaction is now often seen as a process in which the syntax builds representations which, at the abstract level of logical form, (...) are sent for interpretation to the semantics component of the language faculty. In the first extended discussion of the hypothesis of direct compositionality for twenty years, this book considers whether its abandonment might have been premature and whether in fact direct compositionality is not after all a simpler and more effective conception of the grammar than the conventional account of the syntax-semantics interface in generative grammar. It contains contributions from both sides of the debate, locates the debate in the setting of a variety of formal theories, and draws on examples from a range of languages and a range of empirical phenomena. (shrink)

Just as it’s possible to understand novel sentences without having heard them before, it’s possible to understand novel pictures without have seen them before. But these possibilities are traditionally supposed to have very different explanations: whereas the possibility of understanding novel sentences is supposed to be explained by their compositional structure, the possibility of understanding novel depictions is supposed not to be. In this paper, I argue against this disanalogy: the possibility of understanding both some, but not all, novel sentences (...) and some, but not all, novel depictions is explained by their compositional structure. (shrink)

Traditionally, the structure of a language is revealed by constructing an appropriate theory of meaning for that language, which exhibits how – and whether – the meaning of sentences in the language depends upon the meaning of their parts. In this paper, I argue that whether – and how – what pictures represent depends on what their parts represent should likewise by revealed by the construction of appropriate theories of representation for the symbol system of those pictures. This generalisation, I (...) argue, reveals a much cited disanalogy between depiction and description is illusory: the structure of pictures, like language, is compositional. (shrink)

has to do with the acquisition of encyclopedic knowledge.

We discuss two kinds of quotation, namely indirect quotation (e.g., 'Anita said that Mexico is beautiful') and pure quotation (e.g., 'Mexico' has six letters). With respect to each, we have both a negative and a positive plaint. The negative plaint is that the strict Davidsonian (1968, 1979a) treatment of indirect and pure quotation cannot be correct. The positive plaint is an alternative account of how quotation of these two sorts works.

The nature of complex concepts has important implications for the computational modelling of the mind, as well as for the cognitive science of concepts. This paper outlines the way in which RVC – a Relational View of Concepts – accommodates a range of complex concepts, cases which have been argued to be non-compositional. RVC attempts to integrate a number of psychological, linguistic and psycholinguistic considerations with the situation-theoretic view that information-carrying relations hold only relative to background situations. The central tenet (...) of RVC is that the content of concepts varies systematically with perspective. The analysis of complex concepts indicates that compositionality too should be considered to be sensitive to perspective. Such a view accords with concepts and mental states being situated and the implications for theories of concepts and for computational models of the mind are discussed. (shrink)

I address the question whether Dummetts manifestation challenge to semantic realism can be disarmed by reflection on the compositionality of meaning. Building on work of Dummett and Wright, I develop in §§12 what I argue to be the most formidable version of the manifestation challenge. Along the way I review attempts by previous authors to deploy considerations about compositionality in realisms favour, and argue that they are unsuccessful. The formulation of the challenge I develop renders explicit something which I argue (...) to be implicit in Dummetts and Wrights presentations: that the challenge depends on a contention about the constitution of speakers states of declarative sentence understanding: i.e., that many such states incorporate abilities to recognize whether the associated sentences truth conditions are satisfied. In §3 I argue that reflection on the compositionality of meaning reveals, first, that this contention must be rejected by the realist, and second, that it is unmotivated. This result does not settle the debate over the manifestation challenge, but it implies that the onus of argument does not currently rest with the realist. (shrink)

Meaning without Analyticity draws upon the author’s essays and articles, over a period of 20 years, focused on language, logic and meaning. The book explores the prospect of a non-behavioristic theory of cognitive meaning which rejects the analytic-synthetic distinction, Quinean behaviorism, and the logical and social-intellectual excesses of extreme holism. Cast in clear, perspicuous language and oriented to scientific discussions, this book takes up the challenges of philosophical communication and evaluation implicit in the recent revival of the pragmatist tradition—especially those (...) arising from its relation to prior American analytic thought. This volume continues the work of Callaway’s 1993 book, Context for Meaning and Analysis, building on the “turn toward pragmatism.” . (shrink)

This paper offers both a theoretical and an experimental perspective on the relationship between connectionist and Classical (symbol-processing) models. Firstly, a serious flaw in Fodor and Pylyshyn’s argument against connectionism is pointed out: if, in fact, a part of their argument is valid, then it establishes a conclusion quite different from that which they intend, a conclusion which is demonstrably false. The source of this flaw is traced to an underestimation of the differences between localist and distributed representation. It has (...) been claimed that distributed representations cannot support systematic operations, or that if they can, then they will be mere implementations of traditional ideas. This paper presents experimental evidence against this conclusion: distributed representations can be used to support direct structure-sensitive operations, in a man- ner quite unlike the Classical approach. Finally, it is argued that even if Fodor and Pylyshyn’s argument that connectionist models of compositionality must be mere implementations were correct, then this would still not be a serious argument against connectionism as a theory of mind. (shrink)

Book Information The Compositionality Papers. The Compositionality Papers Jerry A. Fodor and Ernest Lepore , Oxford: Clarendon Press , 2002 , viii + 212 , US$65.00 ( cloth ), US$19.95 ( paper ) By Jerry A. Fodor. and Ernest Lepore. Oxford: Clarendon Press. Pp. viii + 212. US$65.00 (cloth:), US$19.95 (paper:).

Problems of Compositionality is a revised version of Zolt´an Szab´o’s 1995 doctoral dissertation. Of its five chapters, three have appeared (in heavily modified form) in print independently1, so I will concentrate most of my remarks on the second and third chapters, which remain unpublished outside the book. As it happens, I find these two chapters to be the most philosophically rewarding of the book. The principle of compositionality is a general constraint on the shape of a theory of meaning. Szab´o (...) gives the following initial formulation of the principle: The meaning of a complex expression is determined by the meanings of its constituents and by its structure. (3) Recent discussion of compositionality branches in a number of different directions, including (at least) disputes over the precise formulation of the principle, investigations of the mathematical features of various such formulations, exploration of a plethora of apparent counterexamples to the compositionality of natural languages, scholarly work on the history of the principle (especially its role in Frege), and employment of the principle as a tool in other philosophical disputes. Szab´o’s path through this thicket begins, in the first chapter, with a defense of an idiosyncratic version of the compositionality principle against some more traditional alternatives, proceeds in the second and third chapters to the oft-neglected and philosophically crucial task of asking why the principle of compositionality ought to be one we seek to impose, and concludes in the fourth and fifth chapters by considering and rejecting two putative counterexamples (manifesting in the semantics of adjectives and of definite descriptions) to the principle. The principle of compositionality is most commonly given a functional implementation – a language L is compositional iff the meaning of a complex expression α of L is a function of the meanings of the parts of α and the syntactic structure of α. Equivalently, L is compositional iff synonyms can be intersubstituted salva significa- tio in complex expressions of L.2 Szab´o, however, rejects the functional/substitutional.... (shrink)

Nevertheless, any competent speaker will know what it means. What explains our ability to understand sentences we have never before encountered? One natural hypothesis is that those novel sentences are built up out of familiar parts, put together in familiar ways. This hypothesis requires the backing hypothesis that English has a compositional semantic theory.

Modal fictionalists propose to defuse the unwanted ontological commitments of modal realism by treating modal realism as a fictional story, and modal assertions as assertions, prefixed by a fictionalist operator, that something is true in that story. However, consideration of conditionals with modal antecedents raises the problem ofembedding, which shows that the simple prefixing strategy cannotsucceed. A compositional version of the fictionalist strategy isdeveloped and critiqued, and some general semantic morals aredrawn from the failures of both strategies.

David Dowty Department of Linguistics Ohio State University dowty@ling.ohio-state.edu..

The processing of sequences of (English) sentences is analyzed compositionally through transitions that merge sentences, rather than decomposing them. Transitions that are in a precise sense inertial are related to disjunctive and non-deterministic approaches to ambiguity. Modal interpretations are investigated, inducing various equivalences on sequences.

with the meaning function [[·]] appearing on both sides. (1) is commonly construed as a prescription for computing the meaning of a based on the parts of a and their mode of combination. As equality is symmetric, however, we can also read (1) from right to left, as a constraint on the meaning [[b]] of a term b that brings in the wider context where b may occur, in accordance with what Dag Westerst˚ahl has recently described as “one version of (...) Frege’s famous Context Principle”. (shrink)

This course aims to assess the principle of compositionality (CP) and how it fits with recent developments in natural language interpretation, especially those that stress the role of context. We first try to lay down a suitable formal framework for CP, reviewing proposals by Montague, Janssen, Hendriks, Kracht and Hodges. Versions of CP of varying strength are formulated, and some recent results on the existence of compositional semantics and the (much debated) issue of the empirical import of CP discussed. Complementing (...) CP is the notion of context which, under modern (e.g. "dynamic") conceptions, not only conditions interpretation but also is transformed during interpretation. The tension between CP and context is examined relative to problems of anaphora, presupposition, idioms and ambiguity. A somewhat un-orthodox computational application of CP is suggested, emphasizing co-inductive aspects of interpretation that cut across the divide between model-theoretic and proof-theoretic approaches, and between procedural and declarative styles. (shrink)

Notions of disambiguation supporting a compositional interpretation ofvambiguous expressions and reflecting intuitions about how sentences combinevin discourse are investigated. Expressions are analyzed both inductively byvbreaking them apart, and co-inductively by embedding them within larger contexts.

Ernie Lepore and Jerry Fodor have published a series of original and controversial essays on issues relating to compositionality in language and mind; they have...

Compositionality is the idea that the meanings of complex expressions (or concepts) are constructed from the meanings of the less complex expressions (or concepts) that are their constituents.1 Over the last few years, we have just about convinced ourselves that compositionality is the sovereign test for theories of lexical meaning.2 So hard is this test to pass, we think, that it filters out practically all of the theories of lexical meaning that are current in either philosophy or cognitive science. Among (...) the casualties are, for example, the theory that lexical meanings are statistical structures (like stereotypes); the theory that the meaning of a word is its use; the theory that knowing the meaning of (at least some) words requires having a recognitional capacity for (at least some) of the things that it applies to; and the theory that knowing the meaning of a word requires knowing criteria for applying it. Indeed, we think that only two theories of the lexicon survive the compositionality constraint: viz., the theory that all lexical meanings are primitive and the theory that some lexical meanings are primitive and the rest are definitions. So compositionality does a lot of work in lexical semantics, according to our lights. (shrink)

The paper proposes a semantics for contextual (i.e., Temporal and Locative) Prepositional Phrases (CPPs) like during every meeting, in the garden, when Harry met Sally and where I’m calling from. The semantics is embodied in a multi-modal extension of Combinatory Categoral Grammar (CCG). The grammar allows the strictly monotonic compositional derivation of multiple correct interpretations for “stacked” or multiple CPPs, including interpretations whose scope relations are not what would be expected on standard assumptions about surfacesyntactic command and monotonic derivation. A (...) type-hierarchy of functional modalities plays a crucial role in the specification of the fragment. (shrink)

Nested conditionals are indeed vexatious. This 'counterexample' to Modus Ponens relies for its apparent integrity on implicit premises in the background, which once disclosed show how and that this is not a counterexample at all. Modus Ponens is perhaps the most straightforward rule of all and has no counterexamples that I am aware of at all.

The paper examines an alleged distinction claimed to exist by Van Gelder between two different, but equally acceptable ways of accounting for the systematicity of cognitive output (two varieties of compositionality): concatenative compositionality vs. functional compositionality. The second is supposed to provide an explanation alternative to the Language of Thought Hypothesis. I contend that, if the definition of concatenative compositionality is taken in a different way from the official one given by Van Gelder (but one suggested by some of his (...) formulations) then there is indeed a different sort of compositionality; however, the second variety is not an alternative to the language of thought in that case. On the other hand, if the concept of concatenative compositionality is taken in a different way, along the lines of Van Gelder's explicit definition, then there is no reason to think that there is an alternative way of explaining systematicity. (shrink)

This is my response as key discussant to papers presented at the workshop on Polarity at this year’s LSA meeting in Anaheim, CA.

This paper proposes a coevolutionary scenario on the origins of compositionality and word order regularity in human language, and illustrates it using a multi-agent, behavioral model. The model traces a `bottom-up' process of syntactic development; artificial agents, by iterating local orders among lexical items, gradually build up basic constituent word order(s) in sentences. These results show that structural features of language (e.g. syntactic categories and word orders) could have coevolved with lexical items, as a consequence of general learning mechanisms (e.g. (...) pattern extraction and sequential learning) initially not language-specific. Keywords: Computer simulation; language origin; coevolution; compositionality; word order regularity. (shrink)

The paper identifies some background assumptions of compositionality in formal semantics and investigates how they shape formal semantics as a scientific discipline.

Primarily a response to Paul Horwich's "Composition of Meanings", the paper attempts to refute his claim that compositionality—roughly, the idea that the meaning of a sentence is determined by the meanings of its parts and how they are there combined—imposes no substantial constraints on semantic theory or on our conception of the meanings of words or sentences. Show Abstract.

Are Fregean thoughts compositionally complex and composed of senses? We argue that, in Begriffsschrift, Frege took 'conceptual contents' to be unstructured, but that he quickly moved away from this position, holding just two years later that conceptual contents divide of themselves into 'function' and 'argument'. This second position is shown to be unstable, however, by Frege's famous substitution puzzle. For Frege, the crucial question the puzzle raises is why "The Morning Star is a planet" and "The Evening Star is a (...) planet" have different contents, but his second position predicts that they should have the same content. Frege's response to this antinomy is of course to distinguish sense from reference, but what has not previously been noticed is that this response also requires thoughts to be compositionally complex, composed of senses. That, however, raises the question just how thoughts are composed from senses. We reconstruct a Fregean answer, one that turns on an insistence that this question must be understood as semantic rather than metaphysical. It is not a question about the intrinsic nature of residents of the third realm but a question about how thoughts are expressed by sentences. (shrink)

The present paper studies the general implications of theprinciple of compositionality for the organization of grammar.It will be argued that Janssen''s (1986) requirement that syntax andsemantics be similar algebras is too strong, and that the moreliberal requirement that syntax be interpretable into semanticsleads to a formalization that can be motivated and applied more easily,while it avoids the complications that encumber Janssen''s formalization.Moreover, it will be shown that this alternative formalization evenallows one to further complete the formal theory of compositionality, inthat (...) it is capable of clarifying the role played by translation,model-theoretic interpretation and meaning postulates,of which the latter two aspects received little or no attention inMontague (1970) and Janssen (1986). (shrink)

We consider two formalisations of the notion of a compositionalsemantics for a language, and find some equivalent statements in termsof substitutions. We prove a theorem stating necessary and sufficientconditions for the existence of a canonical compositional semanticsextending a given partial semantics, after discussing what features onewould want such an extension to have. The theorem involves someassumptions about semantical categories in the spirit of Husserl andTarski.

There are two principles which bear the name Frege''sprinciple: the principle of compositionality, and the contextprinciple. The aim of this contribution is to investigate whether thisis justified: did Frege accept both principles at the same time, did hehold the one principle but not the other, or did he, at some moment,change his opinion? The conclusion is as follows. There is a developmentin Frege''s position. In the period of Grundlagen he followed to a strict form of contextuality. He repeatedcontextuality in later (...) writings, but became less strict. From 1914 on,pushed by the needs of research, he comes close to compositionality. Buthe could never make the final step toward compositionality forprincipled reasons, therefore he always would reject compositionality. (shrink)

Reverse Compositionality (RC) is the thesis that one understands a complex expression only if one understands its parts. I argue that this thesis is false for natural languages. I then argue that the phenomenon that motivates the thesis is more likely to be a fact about human sentence-processing than linguistic understanding per se. Finally, I argue that RC is not useful in the debates about prototype-style theories of concepts in which it figures heavily.

It has been argued that prototypes cannot compose, and that for this reason concepts cannot be prototypes (Osherson and Smith in Cognition 9:35–58, 1981; Fodor and Lepore in Cognition 58:253–270, 1996; Connolly et al. in Cognition 103:1–22, 2007). In this paper I examine the intensional and extensional approaches to prototype compositionality, arguing that neither succeeds in their present formulations. I then propose a hybrid extensional theory of prototype compositionality, according to which the extension of a complex concept is determined as (...) a function of what triggers its constituent prototypes. I argue that the theory escapes the problems traditionally raised against extensional theories of compositionality. (shrink)

Color adjectives have played a central role in work on language typology and variation, but there has been relatively little investigation of their meanings by researchers in formal semantics. This is surprising given the fact that color terms have been at the center of debates in the philosophy of language over foundational questions, in particular whether the idea of a compositional, truth-conditional theory of natural language semantics is even coherent. The challenge presented by color terms is articulated in detail in (...) the work of Charles Travis. Travis argues that structurally isomorphic sentences containing color adjectives can shift truth value from context to context depending on how they are used and in the absence of effects of vagueness or ambiguity/polysemy, and concludes that a deterministic mapping from structures to truth conditions is impossible. The goal of this paper is to provide a linguistic perspective on this issue, which we believe defuses Travis’ challenge. We provide empirical arguments that color adjectives are in fact ambiguous between gradable and nongradable interpretations, and that this simple ambiguity, together with independently motivated options concerning scalar dimension within the gradable reading accounts for the Travis facts in a simpler, more constrained, and thus ultimately more successful fashion than recent contextualist analyses such as those in Szabó (Perspectives on semantics, pragmatics and discourse: A festschrift for Ferenc Kiefer, 2001) or Rothschild and Segal (Mind Lang, 2009). (shrink)

Higginbotham (1986) argues that conditionals embedded under quantifiers (as in ‘no student will succeed if they goof off’) constitute a counterexample to the thesis that natural language is semantically compositional. More recently, Higginbotham (2003) and von Fintel and Iatridou (2002) have suggested that compositionality can be upheld, but only if we assume the validity of the principle of Conditional Excluded Middle. I argue that these authors’ proposals (...) deliver unsatisfactory results for conditionals that, at least intuitively, do not appear to obey Conditional Excluded Middle. Further, there is no natural way to extend their accounts to conditionals containing ‘unless’. I propose instead an account that takes both ‘if’ and ‘unless’ statements to restrict the quantifiers in whose scope they occur, while also contributing a covert modal element to the semantics. In providing this account, I also offer a semantics for unquantified statements containing ‘unless’. (shrink)

Category mistakes are sentences such as ‘Colourless green ideas sleep furiously’ or ‘The theory of relativity is eating breakfast’. Such sentences are highly anomalous, and this has led a large number of linguists and philosophers to conclude that they are meaningless (call this ‘the meaninglessness view’). In this paper I argue that the meaninglessness view is incorrect and category mistakes are meaningful. I provide four arguments against the meaninglessness view: in Sect. 2, an argument concerning compositionality with respect to category (...) mistakes; in Sect. 3 an argument concerning synonymy facts of category mistakes; in Sect. 4 concerning embeddings of category mistakes in propositional attitude ascriptions; and in Sect. 5 concerning the uses of category mistakes in metaphors. Having presented these arguments, in Sect. 6 I briefly discuss some of the positive motivations for accepting the meaninglessness view and argue that they are unconvincing. I conclude that the meaninglessness view ought to be rejected. (shrink)

Compositionality is the property that the meaning of any complex expression is determined by the meanings of its parts and the way they are put together. The language can be natural or formal, but it has to be interpreted. That is, meanings, or more generally, semantic values of some sort, must be assigned to linguistic expressions, and compositionality concerns the distribution of these values. Even though similar ideas were expressed both in antiquity and in the middle ages (e.g. by Abelard (...) and Buridan), Gottlob Frege is generally taken to be the first person to state explicitly the modern notion of compositionality and to claim that it is an essential feature of human language. (shrink)

This is the second part of a two-part article on compositionality, i.e. the principle that the meaning of a complex expression is determined by the meanings of its parts and the way they are put together. In the first, Pagin and Westerståhl (2010), we provide a general historical background, a formal framework, definitions, and a survey of variants of compositionality. It will be referred to as Part I. Here we discuss arguments for and against the claim that natural languages have (...) a compositional semantics. We also discuss some problem cases, including belief reports, quotation, idioms, and ambiguity. (shrink)

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. (shrink)

The principle of semantic compositionality, as Jerry Fodor and Ernie Lepore have emphasized, imposes constraints on theories of meaning that it is hard to meet with psychological or epistemic accounts. Here, I argue that this general tendency is exemplified in Michael Dummett's account of meaning. On that account, the so-called manifestability requirement has the effect that the speaker who understands a sentence s must be able to tell whether or not s satisfies central semantic conditions. This requirement is not met (...) by truth-conditional accounts of meaning. On Dummett's view, it is met by a proof conditional account: understanding amounts to knowledge of what counts as a proof of a sentence . A speaker is supposed always to be capable of deciding whether or not a given object is a proof of a given sentence she understands. This requirement comes into conflict with compositionality. If meaning is compositionally determined, then all you need for understanding a sentence is what you get from combining your understanding of the parts according to the mode of composition. But that knowledge is not always sufficient for recognizing any proof at all of a given sentence. Dummett's proof-theoretic argument to the contrary is mistaken. (shrink)

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. (shrink)

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. (shrink)

However, if Wittgenstein’s so called rule-following considerations are correct, then this reason for believing in the validity of (C), is mistaken. The conclusion of those considerations is that we must reject the idea that rules are things which determine possible cases of application before those cases are actually encountered and decided by speakers. If this is right, then there is no rule which determines the meanings of new sentences, i.e. before those sentences have actually been used. Therefore, it might seem (...) that (C) is not valid for natural languages. (shrink)

Peter Pagin Is the principle of semantic compositionality compatible with the principle of semantic holism? The question is of interest, since both principles have a lot that speaks for them, and since they do seem to be in conflict. The view that natural languages have compositional structure is almost unavoidable, since linguistic communication by means of new combinations of words would be virtually incomprehensible otherwise. And holism too seems generally plausible, since the meaning of an expression is directly connected with (...) the way that expression interacts with other. (shrink)

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. (shrink)

In recent articles Fodor and Lepore have argued that not only do considerations of learnability dictate that meaning must be compositional in the wellknown sense that the meanings of all sentences are determined by the meanings of a finite number of primitive expressions and a finite number of operations on them, but also that meaning must be 'reverse compositional' as well, in the sense that the meanings of the primitive expressions of which a complex expression is composed must be determined (...) by the meaning of that complex expression plus the manner of its composition. I argue against the requirement of reverse compositionality and against the claim that learnability requires it. I consider some objections and close the paper by arguing against the related claim that concepts are reverse compositional. (shrink)

Semantic Compositionality is the principle that the meaning of a syntactically complex expression is a function only of the meanings of its syntactic components together with their syntactic mode of combination Various scholars have argued against this Principle in cluding the present author in earlier works One of these arguments was the Argument from Ambiguity which will be of concern in the present article Opposed to the considerations raised against the Principle are certain formal arguments that purport to show that (...) there is no empirical content to the Principle One of these formal ar guments makes use of the notion of free algebras The present article investigates the relationship between these two types of argument.. (shrink)

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. (shrink)

The Principle of Semantic Compositionality (sometimes called Frege''s Principle) is the principle that the meaning of a (syntactically complex) whole is a function only of the meanings of its (syntactic) parts together with the manner in which these parts were combined. This principle has been extremely influential throughout the history of formal semantics; it has had a tremendous impact upon modern linguistics ever since Montague Grammars became known; and it has more recently shown up as a guiding principle for a (...) certain direction in cognitive science.Despite the fact that The Principle is vague or underspecified at a number of points — such as what meaning is, what counts as a part, what counts as a syntactic complex, what counts as combination — this has not stopped some people from viewing The Principle as obviously true, true almost by definition. And it has not stopped other people from viewing The Principle as false, almost pernicious in its effect. And some of these latter theorists think that it is an empirically false principle while others think of it as a methodologically wrong-headed way to proceed. (shrink)

James Higginbotham (1986) presents a theory of semantic interpretation which violates the principle of semantic compositionality. He gives an argument by means of an example construction in favor of his contention. I show that compositioinal theories have more resources than some researchers give it credit for, and that these can be used in two different ways to account for the phenomenon Higginbotham describes.

Inferentialism, which I am going to present in detail in the following sections, is the view that meanings are, roughly, roles that are acquired by types of sounds and inscriptions in virtue of their being treated according to rules of our language games, roughly in the sense in which wooden pieces acquire certain roles by being treated according the rules of chess. The most important consequences are that (i) a meaning is not an object labeled (stood for, represented ...) by (...) an expression; and that (ii) meaning is normative in the sense that to say that an expression means thus and so is to say that it should be used so and so. The founding father of inferentialism is Brandom (1994; 2000). (However, nothing in this paper hinges on the fact that the version of inferentialism defended here is identical with Brandom's). This position provokes two kinds of objections. First there are general objections towards the very normativity of meaning, which do not target especially inferentialism; these I have addressed elsewhere 1. Besides this, there are objection targeted more specifically at inferentialism. Probably the most discussed specimen of such objections is the objection - repeatedly raised especially by Jerry Fodor and Ernest LePore and others - to the effect that though meanings should be compositional, the compositionality of inferential roles is unattainable. This is the kind of objection I am going to deal with here 2. (Hand in hand with this objection then go various allegations of circularity of inferentialism, which we will also discuss.) To do this, I will exploit the long-standing comparison of language to chess, as it seems particularly helpful for making the inferentialist account of language plausible3. This comparison, to be sure, has its limits beyond which it may become severely misleading; but as long as we keep them in mind, it can serve us very well. (shrink)

Charles S. Peirce’s pragmatist theory of logic teaches us to take the context of utterances as an indispensable logical notion without which there is no meaning. This is not a spat against compositionality per se , since it is possible to posit extra arguments to the meaning function that composes complex meaning. However, that method would be inappropriate for a realistic notion of the meaning of assertions. To accomplish a realistic notion of meaning (as opposed e.g. to algebraic meaning), Sperber (...) and Wilson’s Relevance Theory (RT) may be applied in the spirit of Peirce’s Pragmatic Maxim (PM): the weighing of information depends on (i) the practical consequences of accommodating the chosen piece of information introduced in communication, and (ii) what will ensue in actually using that piece in further cycles of discourse. Peirce’s unpublished papers suggest a relevance-like approach to meaning. Contextual features influenced his logic of Existential Graphs (EG). Arguments are presented pro and con the view in which EGs endorse non-compositionality of meaning. (shrink)

Beginning in the late 1960s, psychologists began to challenge the view the definitional theory of concepts. According to that theory a concept is a mental representation comprising representations of properties (or “features”) that are individually necessary and jointly sufficient for membership in a category. In place of the definitional view, psychologists initially put forward the prototype theory of concept, according to which concepts comprise representations of features that are typical, salient, and diagnostic for category membership, but not necessarily necessary. The (...) prototype theory gained considerable support in the 1970s, but came under attack in the 1980s. One objection, most forcefully advanced by Jerry Fodor, is that prototypes do not combine compositionally. Compositionality is said to be an adequacy condition on a theory of concepts. If prototypes don’t compose, then prototypes are not concepts. Or so the argument goes. (shrink)

This essay investigates whether or not we should think that the things we say are identical to the things our sentences mean. It is argued that these theoretical notions should be distinguished, since assertoric content does not respect the compositionality principle. As a paradigmatic example, Kaplan's formal language LD is shown to exemplify a failure of compositionality. It is demonstrated that by respecting the theoretical distinction between the objects of assertion and compositional values certain conflicts between compositionality and contextualism are (...) avoided. This includes the conflict between eternalism and the semantics of tense, the embedding problems for contextualism about epistemic modals and taste claims, and the conflict between direct reference and the semantics of bound pronouns (and monstrous operators). After presenting the theoretical picture which distinguishes assertoric content from compositional semantic value, some objections to the picture are addressed. In so doing, the objection from King (2003) stemming from apparent complications with the interaction of temporal expressions and attitude reports is assessed and shown to be non-threatening. (shrink)

Paul Horwich has claimed that we can derive a certain form of the principle of compositionality from a deflationary account of what it is to understand a complex expression. If this were the case, we would realize a surprising theoretical economy, and if the derivation involved basic ideas from a use theory of meaning, we would have a novel argument for use theories of meaning. Horwich does not offer a detailed derivation. In this paper I reconstruct a possible derivation and (...) show that it begs the question. I then extend my discussion to explain why it is unlikely that alternative arguments can fare better. (shrink)

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. (shrink)

We introduce several senses of the principle ofcompositionality. We illustrate the difference between them with thehelp of some recent results obtained by Cameron and Hodges oncompositional semantics for languages of imperfect information.

Some left-nested indicative conditionals are hard to interpret while others seem fine. Some proponents of the view that indicative conditionals have No Truth Values (NTV) use their view to explain why some left-nestings are hard to interpret: the embedded conditional does not provide the truth conditions needed by the embedding conditional. Left-nestings that seem fine are then explained away as cases of ad hoc, pragmatic interpretation.

In this paper I examine a cluster of concepts relevant to the methodology of truth theories: ‘informative definition’, ‘recursive method’, ‘semantic structure’, ‘logical form’, ‘compositionality’, etc. The interrelations between these concepts, I will try to show, are more intricate and multi-dimensional than commonly assumed.

The paper identifies some background assumptions of compositionality in formal semantics and investigates how they shape formal semantics as a scientific discipline.

I identify a notion of compositionality at the intersection of the different notions philosophers, linguists, and psychologists are concerned with. The notion is compositionality of expression content: the idea that the content of a complex expression in a context of its utterance is determined by its syntactic structure and the contents of its constituents in the contexts of their respective utterances. Traditional arguments from productivity and systematicity cannot establish that the contents of linguistic expressions are compositionally determined in this sense. (...) I present a novel argument for this thesis. (shrink)

I believe that the validity of (I) is beyond. doubt and thus any grammar, whether organized to reflect (I) directly or not, may ultimately be required to satisfy it. One of the systems that are precisely designed to reflect (I) is Montague Grammar, where, technical details aside, it is realized as follows: (2) a. Sentences are composed by putting their constituents together step by step, with no subsequent rearrangement; b. Not only each lexical item but also each rule of composition (...) is assigned an explicit interpretation; c. Interpretation is given in terms of model theory: the denotation conditions of expressions are defined relative to a mathematical construct which, loosely speaking, models the relevant aspects of the world talked about. (shrink)