Compositionality in Plant Fixed Expressions Shelley Ching-yu Hsieh, Chinfa Lien, Sebastian Meier Abstract This paper examines fixed expressions that contain plant names in Mandarin Chinese and German corpora. It aims to reveal the compositionality of the concepts of the vehicle flower by means of frame semantics, and then popular vehicles (plant names) and underlying conceits (the associations between vehicles and meanings) of plant fixed expressions in these two languages will be explored. The linguistic frames of flowers show that German focuses (...) on function by adopting usability and edibility of plants in their expressions, whereas Mandarin Chinese perceives outer appearance of plants and compile “visualized” Chinese expressions. People observe and perceive plants from different standpoints and thus compose different concepts in their minds and languages. Chinese vehicles fall mainly into the categories of trees and flowers, while German vehicles are fruits and divisions of plants such as seeds and roots. This confirms the functional and visual perspective of the respective languages and further suggests the individualism of the Germans as well as the holism of the Mandarin Chinese speakers. (shrink)

Compositionality has been a central concept in linguistics and philosophy for decades, and it is increasingly prominent in many other areas of cognitive science. Its status, however, remains contentious. Here, I reassess the nature and scope of the principle of compositionality (Partee, 1995) from the perspective of psycholinguistics and cognitive neuroscience. First, I review classic arguments for compositionality and conclude that they fail to establish compositionality as a property of human language. Next, I state a new competence argument, acknowledging the (...) fact that any competent user of a language L can assign to most expressions in L at least one meaning which is a functiononlyof the meanings of the expression's parts and of its syntactic structure. I then discuss selected results from cognitive neuroscience, indicating that the human brain possesses the processing capacities presupposed by the competence argument. Finally, I outline a language processing architecture consistent with the neuroscience results, where semantic representations may be generated by a syntax‐driven streamandby an “asyntactic” processing stream, jointly or independently. Compositionality is viewed as a constraint on computation in the former stream only. (shrink)

Open Compositionality: Towards a Methodology of Language offers a fresh view into human languages as supermodular, highly interactive cognitive capacities allowing for human unique thought and communication. It is a novel account of semantics as decision-making in tandem with the cognition first methodology.

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)

Propositions are (generally taken to be) the semantic values of declarative sentences in context. There is a long history of thinking that an important reason for taking propositions to be structured stems from the fact that the semantic values of such sentences are (typically) compositionally determined. In this paper, I argue that compositionality does not entail, nor provide good evidence for, the claim that propositions are structured. I go on to argue that there is no additional feature of declarative sentences—for (...) example, that they are true or false—that, in conjunction with compositionality, entails or provides good evidence for the claim that the semantic values of those sentences are complex. (shrink)

The principle of compositionality (PC) claims that the meaning of a compound expression is determined by the meanings of its constituent expressions and the way they compose. Is it true or false? Does it apply to both natural and formalised languages? In order to answer, we must examine various formal versions of PC, the notion of meaning and the patterns of composition. Moreover, further principles are called for to determine its import and, in particular, its relationships with the Context Principle, (...) which seems to be inconsistent with PC. The paper deals with some aspects of the issues involved, by considering both empirical and model-theoretic results on compositionality obtained in recent years. The main thesis is that only if the parametric form of PC is acknowledged, the above questions can receive a definite answer. To this aim, the paper makes the conditions for the consistency of PC with context-dependence explicit. Such conditions allow for the stability of a schematic conceptual/epistemic core, in contrast with the slippery slope leading to holistic pragmatism. (shrink)

It is a common view that radical contextualism about linguistic meaning is incompatible with a compositional explanation of linguistic comprehension. Recently, some philosophers of language have proposed theories of 'pragmatic' compositionality challenging this assumption. This paper takes a close look at a prominent proposal of this kind due to François Recanati. The objective is to give a plausible formulation of the view. The major results are threefold. First, a basic distinction that contextualists make between mandatory and optional pragmatic processes needs (...) to be revised. Second, the pragmatic theory can withstand a Davidsonian objection only by rejecting the importance of a distinction between primitive and non-primitive semantic items. Thirdly, however, the theory is now open to a worry about how it should be understood: either the theory consists in a very broad functionalist generalization about communication, which makes it explanatorily inert, or it boils down to a highly particularist view about linguistic meaning. Finally, I argue that Recanati's notion of 'occasion meaning' is problematic and suggest replacing it with the notion of speaker meaning, which is explanatorily more basic. (shrink)

I argue that analogue mental representations possess a canonical decomposition into privileged constituents from which they compose. I motivate this suggestion, and rebut arguments to the contrary, through reflection on the approximate number system, whose representations are widely expected to have an analogue format. I then argue that arguments for the compositionality and constituent structure of these analogue representations generalize to other analogue mental representations posited in the human mind, such as those in early vision and visual imagery.

The article presents a concept apparatus of identifying and eliminating non-compositionality on the basis of intended sense reconstruction. First, two types ofnon-compositionality are delineated: pragmatically adoptable and logical. Thenon-compositionality ofthe first type has its source in underspecification of the meaning of an expression components, which is connected with non-expressible context-pragmatic conditions ofthesituation of an expression. The variants ofsuch non-compositionality are various, nevertheless allof them can be adopted with logical and semantic means. Non-compositionality ofthe secondtype is linked to the cyclic references (...) which occur during the realisation ofthe procedure of defining the meaning. Sucha procedure is regarded as a semantic program which is capable of calculating the meaning of an expression with semantic and context-pragmatic parameters being given. The main question: howthe agents communication recognise thefactthatthe language expressions they generated are not adequate in regards of those mental representa- tionswhich constitute intended sense, particularly in the cases of non-compositionality. To answer this question the way of reconstructing intended sense is described. It includes differentiation of minimal and full senses of expression, and presupposes juxtaposing of context-pragmatic conditions of a speaker situation with the same conditions an addressee situation. If differences are uncovered which would make it impossible to achieve adequate understanding,then the parameters ofa speaker's situation are verbalised and stop beingnon-expressible turninginto obvious conditions ofthe stated. In the case of pragmatically adopted non-compositionality, full verbalisation of context-pragmatic conditions leads to obtaining full compositional meaning, which does not depend on a situation anymore. If it turns out, that logical compositionality depends on context-pragmatic conditions, then, depending on the aim of communication, it maybe localised and eliminated. (shrink)

This paper starts from the observation that the standard arguments for compositionality are really arguments for the computability of semantics. Since computability does not entail compositionality, the question of what justifies compositionality recurs. The paper then elaborates on the idea of recursive semantics as corresponding to computable semantics. It is then shown by means of time complexity theory and with the use of term rewriting as systems of semantic computation, that syntactically unrestricted, noncompositional recursive semantics leads to computational explosion (factorial (...) complexity). Hence, with combinatorially unrestricted syntax, semantics with tractable time complexity is compositional. (shrink)

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)

This book is a critical discussion of the principle of compositionality, the thesis that the meaning of a complex expression is fully determined by the meanings of its constituents and its structure. The aim of this book is to clarify what is meant by this principle, to show that its traditional justification is insufficient, and to discuss some of the problems that have to be addressed before a new attempt can be made to justify it.

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...

A semantic theory is committed to semantic monism just in case every particular semantic property posited by the theory is a member of the same kind. The commitment to semantic monism appears to draw some support from the need to provide a compositional semantics, since taking a single kind of semantic property as key to a semantic theory affords a uniform pattern on the basis of which the meaning of any given sentence can be compositionally determined. This line of support (...) highlights a tension between the principle of compositionality and taking a more pluralistic approach to semantic theorizing. In this essay, that tension is relieved, leaving open the prospect of a pluralistic semantic theory that observes the principle of compositionality. (shrink)

Is there a reason to believe that the evolution of language leads to compositional semantics? A proposal from Henry Brighton is presented and criticized. As an alternative, the role of compositionality for the complexity of semantic interpretation is emphasized.

Hodges' Extension Theorem is perfectly designed for the kind of extension problem of principle of compositionality, which arises in the so-called IF languages. These languages satisfy the conditions of the application of the Extension Theorem. They are extensions of standard first-order languages closed under atomic and negations of atomic formulas and disjunctions and conjunctions of IF-formulas. Hodges' extension theorem shows that when certain conditions are satisfied, a language has a unique compositional interpretation, which agrees with the initially given partial one. (...) Accordingly, any two such compositional interpretations must be formally equivalent. Kaplan separates the indices, which contribute to the semantic value of a sentence into those that make the context of utterance, and those that constitute the circumstances of evaluation. The former determine what is said and the latter determine whether what is said is true or false. (shrink)

The standard relation of logical consequence allows for non-standard interpretations of logical constants, as was shown early on by Carnap. But then how can we learn the interpretations of logical constants, if not from the rules which govern their use? Answers in the literature have mostly consisted in devising clever rule formats going beyond the familiar what follows from what. A more conservative answer is possible. We may be able to learn the correct interpretations from the standard rules, because the (...) space of possible interpretations is a priori restricted by universal semantic principles. We show that this is indeed the case. The principles are familiar from modern formal semantics: compositionality, supplemented, for quantifiers, with topic-neutrality. (shrink)

This paper attempts to describe and address a specific puzzle related to compositionality in artificial networks such as Deep Neural Networks and machine learning in general. The puzzle identified here touches on a larger debate in Artificial Intelligence related to epistemic opacity but specifically focuses on computational applications of human level linguistic abilities or properties and a special difficulty with relation to these. Thus, the resulting issue is both general and unique. A partial solution is suggested.

This paper argues against Zoltán Szabó’s claim in “Compositionality as Supervenience” that we ought to understand the principle of compositionality as the idea that in natural language, the meanings of complex expressions strongly supervene on the meanings of their constituents and how the constituents are combined. The argument is that if we understand compositionality Szabó’s way, then compositionality can play no role in explanations of the acquirability of natural languages, because it makes these explanations circular. This, in turn, would undermine (...) the primary motivation for thinking that natural language is compositional, and would thus undermine the importance of the principle in natural language semantics. Thus, even if Szabó’s reading of the principle best accords with theorists’ intuitions about what sorts of languages are compositional—as he claims it does—there is good reason to reject that reading. Finally, the paper defends the claim that we ought to think of the principle as the idea that in natural language, the meanings of complexes weakly supervene on the meanings of their constituents and how they are combined. (shrink)

In this article, we evaluate the Compositionality Argument for structured propositions. This argument hinges on two seemingly innocuous and widely accepted premises: the Principle of Semantic Compositionality and Propositionalism (the thesis that sentential semantic values are propositions). We show that the Compositionality Argument presupposes that compositionality involves a form of building, and that this metaphysically robust account of compositionality is subject to counter-example: there are compositional representational systems that this principle cannot accommodate. If this is correct, one of the most (...) important arguments for structured propositions is undermined. (shrink)

Perception involves the processing of content or information about the world. In what form is this content represented? I argue that perception is widely compositional. The perceptual system represents many stimulus features (including shape, orientation, and motion) in terms of combinations of other features (such as shape parts, slant and tilt, common and residual motion vectors). But compositionality can take a variety of forms. The ways in which perceptual representations compose are markedly different from the ways in which sentences or (...) thoughts are thought to be composed. I suggest that the thesis that perception is compositional is not itself a concrete hypothesis with specific predictions; rather it affords a productive framework for developing and evaluating specific empirical hypotheses about the form and content of perceptual representations. The question is not just whether perception is compositional, but how. Answering this latter question can provide fundamental insights into perception. (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:).

Compositionality Compositionality is a concept in the philosophy of language. A symbolic system is compositional if the meaning of every complex expression E in that system depends on, and depends only on, E’s syntactic structure and the meanings of E’s simple parts. If a language is compositional, then the meaning of a sentence … Continue reading Compositionality →.

This article is concerned with the principle of compositionality, i.e. the principle that the meaning of a complex expression is a function of the meanings of its parts and its mode of composition. After a brief historical background, a formal algebraic framework for syntax and semantics is presented. In this framework, both syntactic operations and semantic functions are partial. Using 20 the framework, the basic idea of compositionality is given a precise statement, and several variants, both weaker and stronger, as (...) well as related properties, are distinguished. Several arguments for compositionality are discussed, and the standard arguments are found inconclusive. Also, several arguments against compositionality, and for the claim that it is a trivial property, are discussed, 25 and are found to be flawed. Finally, a number of real or apparent problems for compositionality are considered, and some solutions are proposed. (shrink)

The article presents a concept apparatus of identifying and eliminating non-compositionality on the basis of intended sense reconstruction. First, two types ofnon-compositionality are delineated: pragmatically adoptable and logical. Thenon-compositionality ofthe first type has its source in underspecification of the meaning of an expression components, which is connected with non-expressible context-pragmatic conditions ofthesituation of an expression. The variants ofsuch non-compositionality are various, nevertheless allof them can be adopted with logical and semantic means. Non-compositionality ofthe secondtype is linked to the cyclic references (...) which occur during the realisation ofthe procedure of defining the meaning. Sucha procedure is regarded as a semantic program which is capable of calculating the meaning of an expression with semantic and context-pragmatic parameters being given. The main question: howthe agents communication recognise thefactthatthe language expressions they generated are not adequate in regards of those mental representa- tionswhich constitute intended sense, particularly in the cases of non-compositionality. To answer this question the way of reconstructing intended sense is described. It includes differentiation of minimal and full senses of expression, and presupposes juxtaposing of context-pragmatic conditions of a speaker situation with the same conditions an addressee situation. If differences are uncovered which would make it impossible to achieve adequate understanding,then the parameters ofa speaker's situation are verbalised and stop beingnon-expressible turninginto obvious conditions ofthe stated. In the case of pragmatically adopted non-compositionality, full verbalisation of context-pragmatic conditions leads to obtaining full compositional meaning, which does not depend on a situation anymore. If it turns out, that logical compositionality depends on context-pragmatic conditions, then, depending on the aim of communication, it maybe localised and eliminated. (shrink)

The lack of conceptual analysis within cognitive science results in multiple models of the same phenomena. However, these models incorporate assumptions that contradict basic structural features of the domain they are describing. This is particularly true about the domain of mathematical cognition. In this paper we argue that foundational theoretic aspects of psychological models for language and arithmetic should be clarified before postulating such models. We propose a means to clarify these foundational concepts by analyzing the distinctions between metric and (...) linguistic compositionality, which we use to assess current models of mathematical cognition. Our proposal is consistent with the scientific methodology that determines that careful conceptual analysis should precede theoretical descriptions of data. 2012 APA, all rights reserved). (shrink)

Contemporary debates on the principle of compositionality provoke a perplexing problem about its import on natural language. Whether the principle of compositionality makes any substantial constraints on the meaningfulness of natural language has an indeterminate answer. In this paper, I try to argue against the principle of compositionality for natural language by considering its significance for understanding. Part one is a general survey of the principle of compositionality pertaining to the meaning of a complex expression; and in part two, I (...) will focus on the issue of understanding a sentence or more complex expression, pointing out that principle of compositionality is neither sufficient nor necessary for understanding, even though compositionality is true for natural language, it is trivial and useless; the final part aims to criticize the principle of compositionality from its underspecification of meaning, which is at odds with our general idea of the representational feature of natural language and the hypothesis of isomorphism among mind, language and reality. (shrink)

Jerry Fodor has claimed to have a solution to the traditional problem of what comes first, thought or language. Compositionality, he says, will give us the answer, for at least one must be compositional, and if only one of them is, that is the one that has underived semantic content. He argues that natural languages are not compositional, and therefore that the content of language is derived from the content of thought. I will argue that the idea that language is (...) not compositional conflicts with his productivity and systematicity arguments for the existence of a language of thought. I will also show that Fodor’s solution to the problem fails, as his main argument is circular. Finally, I suggest that Fodor’s argument against the compositionality of language is not decisive, and that we can still attribute at least some degree of compositionality to language. (shrink)

In the past decade various linguists and philosophers (e.g. Pagin, Pelletier, Recanati, Westerståhl, Lasersohn) have proposed a weakening of the standard interpretation of compositionality for propositional content. Their move is motivated by the desire to accommodate radical forms of context sensitivity within a systematic account of natural languages. In this paper I argue against weakening compositionality in the way proposed by them. I argue that weak compositionality fails to provide some of the expected benefits of compositionality. First, weak compositionality fails (...) to provide systematic meaning-rules which can handle forms of context-sensitivity that are not amenable to explanation in terms of a fixed and limited set of contextual parameters. Secondly, I argue that weak-compositionality fails to play any role in explaining speakers’ ability to calculate the semantic values of complex expressions. I conclude that weak compositionality is not a viable alternative to standard interpretations of compositionality, and that it doesn’t offer an acceptable way to accommodate radical forms of context-sensitivity within a systematic account of natural languages. Given the central role that weak-compositionality plays in recent approaches to natural language (e.g. in truth-conditional pragmatics) this also casts doubt on the viability of these projects. (shrink)

This paper is about compositionality, belief reports, and related issues. I begin by introducing Putnam’s proposal for understanding compositionality, namely that the sense of a sentence is a function of the sense of its parts and of its logical structure (section 1). Both Church and Sellars think that Putnam’s move is superfluous or unnecessary since there is no relevant puzzle to begin with (section 2). I will urge that Putnam is right in thinking that there is indeed a puzzle with (...) a discussion of translation and belief individuation (section 3). Later Salmon (2001/ 2007) reinforces Church’s position, but I will argue that it is still possible to make my case by clarifying the nature of my proposal, i.e., understanding explanations of action from the third-person point of view (section 4). Now, Fine (2007) agrees with Putnam that there is indeed a puzzle to be solved, but he argues that Putnam’s solution of it is problematic, and that his own semantic relationism is a better view. In response to this, I will recast the notion of compositionality based on a certain conception of belief individuation, namely that the semantic content of a sentence is a function of the semantic contents of its parts and of the structure of intensional discourses (sections 3 and 5). Finally the paper will end with a reconsideration of the recalcitrant Kripke’s puzzle about belief (1979/1988), since it might seem to put some pressure on my account. It turns out that my understanding of this puzzle is again different from Fine’s perspective (section 6). (shrink)

Invariantists argue that the notion of concept in psychology should be reserved for knowledge that is retrieved in a context-insensitive manner. Contextualists argue that concepts are to be understood in terms of context-sensitive ad hoc constructions. I review the central empirical evidence for and against both views and show that their conclusions are based on a common mischaracterization of both theories. When the difference between contextualism and invariantism is properly understood, it becomes apparent that the way the question of stability (...) is currently investigated will not lead to a consensus. Instead of focusing directly on stability, we should turn our attention to other desiderata on a theory of concepts. In particular, I show that invariantism, but not contextualism, fails to account for compositionality and abstract concepts. (shrink)

This article provides an introduction to Kaplan-style semantics. The formal semantics usually employs the notion of a model, which, besides supplying the sets utterance contexts, circumstances and a domain M 0 of individuals, and also interprets the nonlogical atomic expressions of the language. Standard compositionality applies only to character: Funct makes immediate sense, since character assigns a semantic value directly to expressions. For semantic functions taking contextual arguments, the notion of compositionality must be revised. Notions of contextual compositionality apply directly (...) to the functional version of the setup that starts with the function char, and defines the other semantics from it. The point of evaluation semantics is indeed basic: if it is compositional, so is the content semantics, and the character semantics. (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)

The principle of compositionality states that the meaning of a complex expression e is determined by the meaning of its parts and how those parts are put together to form e. The Context Principle states that the meaning of a word w can only be given in the context of a sentence in which w appears. X can roughly be related to PC if one takes a complex expression to be a sentence, and its parts to be the words in (...) it. Compositionality is a constraint on transformations of the structures that yield what can be called meanings. There is a tradition in formal semantics of basing compositionally derived meanings on a “reality” external to the language users, employing model-assignment pairs for this purpose. (shrink)

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.

In this paper, we defend a traditional approach to semantics, that holds that the outputs of compositional semantics are propositional, i.e. truth conditions. Though traditional, this view has been challenged on a number of fronts over the years. Since classic work of Lewis, arguments have been offered which purport to show that semantic composition requires values that are relativized, e.g. to times, or other parameters that render them no longer propositional. Focusing in recent variants of these arguments involving quantification and (...) binding, we argue that a correct understanding of how composition works gives no reason to relativize semantic values, and that propositional semantic values are in fact the preferred option. We take our argument to be mainly empirical, but along the way, we defend some more general theses. Simple propositional semantic values are viable in composition, we maintain, because composition is itself a complex phenomenon, involving multiple modes of composition. Furthermore, some composition principles make adjustments to the meanings of constituents in the course of composition. These adjustments are by triggered syntactic environments. We argue such small contributions of meaning from syntactic structure are acceptable. (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 paper analyses what is said and what is presupposed by thePrinciple of Compositionality for semantics, as it is commonly stated. ThePrinciple of Compositionality is an axiom which some semantics satisfy andsome don’t. It says essentially that if two expressions have the same meaning then they make the same contribution to the meanings of expressionscontaining them. This is a sensible axiom only if one combines it with aconverse, that if two expressions make the same contribution to the meanings of sentences (...) containing them, then they have the same meaning;and some assumption that two expressions which can’t meaningfully besubstituted for each other have different meanings. as a full abstraction principle, and as ‘Husserl’s principle’.) Moreoverthe Principle of Compositionality speaks only about when two expressionshave the same meaning; it adds nothing whatever about what that meaningmight be . Some recent discussions by writers in linguistics and logic are assessed. The paper finishes by reviewing thehistory of the notion of compositionality. (shrink)

This paper presents a new solution to the problems for orthodox decision theory posed by the Pasadena game and its relatives. I argue that a key question raised by consideration of these gambles is whether evaluative compositionality (as I term it) is a requirement of rationality: is the value that an ideally rational agent places on a gamble determined by the values that she places on its possible outcomes, together with their mode of composition into the gamble (i.e. the probabilities (...) assigned to them)? The paper first outlines a certain simple response to the Pasadena game and identifies two problems with this response, the second of which is that it leads to a wholesale violation of evaluative compositionality. I then argue that rationality does not require decision makers to factor in outcomes of arbitrarily low probability. A method for making decisions which flows from this basic idea is then developed, and it is shown that this decision method (Truncation) leads to a limited — as opposed to wholesale — violation of evaluative compositionality. The paper then argues that the truncation method yields solutions to the problems posed by the Pasadena game and its relatives that are both attractive in themselves and superior to those yielded by alternative proposals in the literature. (shrink)

I believe that the validity of [the Fregean principle of compositionality] is beyond doubt and thus any grammar, whether organized to reflect [it] directly or not, may ultimately be required to satisfy it. One of the systems that are precisely designed to reflect [it] 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)

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)

Human language, hominin tool production modes, and multimodal communications systems of primates and other animals are currently well-studied for how they display compositionality or combinatoriality. In all cases, the former is defined as a kind of hierarchical nesting and the latter as a lack thereof. In this article, I extend research on combinatoriality and compositionality further to investigations of everyday primate skills. Daily locomotion modes as well as behaviors associated with subsistence practices, hygiene, or body modification rely on the hierarchical (...) nesting of different behavioral and cognitive actions into complex skills. I introduce a scheme which uses hierarchical organization to differentiate combinatorial from compositional skills. Combinatorial skills are defined either as aggregational or linearly hierarchical depending on whether the skill occurs momentarily in space or unfolds sequentially over time. Compositional skills are defined either as nested or interactionally hierarchical depending on whether the skill results in new constructs or in new interactions between existing constructs. The methodology I propose combines epistemological hierarchy theory with data from primatological field research and experimental and comparative psychological research and provides a means to integrate current constructionist and extended views on cognition and action with older research on behavioral logics in psychology and operational chain thinking in anthropology. The approach furthermore synchronizes with ongoing research on teleonomy, intentionality, and creativity. -/- . (shrink)

Representational systems such as language, mind and perhaps even the brain exhibit a structure that is often assumed to be compositional. That is, the semantic value of a complex representation is determined by the semantic value of their parts and the way they are put together. Dating back to the late 19th century, the principle of compositionality has regained wide attention recently. Since the principle has been dealt with very differently across disciplines, the aim of the two volumes is to (...) bring together the diverging approaches. They assemble a collection of original papers that cover the topic of compositionality from virtually all perspectives of interest in the contemporary debate. The well-chosen international list of authors includes psychologists, neuroscientists, computer scientists, linguists, and philosophers. (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)

The goal of inquiry in this essay is to ascertain to what extent the Principle of Compositionality – the thesis that the meaning of a complex expression is determined by the meaning of its parts and its mode of composition – can be justifiably imposed as a constraint on semantic theories, and thereby provide information about what meanings are. Apart from the introduction and the concluding chapter the thesis is divided into five chapters addressing different questions pertaining to the overarching (...) goal of inquiry. Chapter Two is an attempt to determine whether the Principle of Compositionality is a trivial principle. It is argued that this is not the case in the context of providing the semantics of natural languages since it is an open question whether the best theories that respect available syntactic and semantic data are compositional. Chapter Three and Chapter Four ask whether there are reasons to think that the Principle of Compositionality is true. It is argued that the three most commonly cited reasons for thinking that correct semantic theories must be compositional – Linguistic Creativity, Productivity and Systematicity – in fact only give us reasons to think that the meaning of complex expressions depend on the meanings of their parts and their modes of composition, but not that the meaning of complex expressions depend ONLY on those factors. Chapter Five asks whether there are any reasons to think that the Principle of Compositionality is false. It is argued that all the phenomena that have been suggested entail non-compositionality are in fact compatible with some versions of compositionality. Even if this conclusion is reached in this chapter, the conclusion of the previous two chapters entails that we are not justified in imposing the Principle of Compositionality as an adequacy constraint on Semantic theories. Chapter Six explores the ways in which information about what meanings are can be derived by imposing constraints on semantic theories. It is argued that the distinction emphasized in Chapter Three and Chapter Four between depending on and depending ONLY on is of critical importance. It is demonstrated that the informative potential of the Principle of Compositionality goes far beyond that of the principle we are in fact justified in imposing on semantic theories. So not only is it the case that we cannot learn anything about meanings from the justified imposition of the Principle of Compositionality – since we cannot justifiably impose it as a constraint on semantic theories – what we could have learned from it had we been justified in imposing it is very different from what we can learn from the principle that we are justified in imposing. (shrink)

Leading linguists and philosophers report on all aspects of compositionality, the notion that the meaning of an expression can be derived from its parts. This book explores every dimension of this field, reporting critically on different lines of research, revealing connections between them, and highlighting current problems and opportunities.

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)