This well-illustrated book outlines a framework for the analysis of syntactic structure from a perspective of a systematic functional grammar.

This paper introduces λ-grammar, a form of categorial grammar that has much in common with LFG. Like other forms of categorial grammar, λ-grammars are multi-dimensional and their components are combined in a strictly parallel fashion. Grammatical representations are combined with the help of linear combinators, closed pure λ-terms in which each abstractor binds exactly one variable. Mathematically this is equivalent to employing linear logic, in use in LFG for semantic composition, but the method seems more practicable.

This paper investigates whether the fundamental linguistic insights and intuitions of Lexical Functional Grammar, which is usually presented as a constraint-based linguistic theory, can be reformulated in a resource sensitive framework using a substructural modal logic. In the approach investigated here, LFG's f-descriptions are replaced with expressions from a multi-modal propositional logic. In effect, the feature structure unification basis of LFG's f-structures is replaced with a very different resource based mechanism. It turns out that some linguistic analyses that (...) required non-monotonic devices in LFG analysis of Icelandic) can be straightforwardly expressed in the framework presented here. Moreover, a Curry– Howard correspondence between proofs in this logic and -terms provides a semantic interpretation as a by-product of the process of showing syntactic well-formedness. (shrink)

This article discusses the results of an investigation on discourse representation in a corpus of 34 million words constituted by texts in Brazilian Portuguese from two different genres: the research article and the science popularization article. Drawing on a systemic functional grammar perspective of language and pursuing a probabilistic approach, it focuses on the realization of lexicogrammatical systems of direct discourse representation as enacting interpersonal and social relationships. It is argued that the citation practices employed by writers in (...) the genres studied negotiate discursive distance and are influenced by the status culturally and historically ascribed to scientific knowledge. (shrink)

This article focuses on claims about the origin and evolution of language from the point of view of the formalist–functionalist debate in linguistics. In linguistics, an account of a grammatical phenomenon is considered “formal” if it accords center stage to the structural properties of that phenomenon, and “functional” if it appeals to the language user's communicative needs or to domain‐general human capacities. The gulf between formalism and functionalism has been bridged in language evolution research, in that some leading formalists, (...) Ray Jackendoff for one, appeal to functional mechanisms such as natural selection. In Jackendoff's view, the biological evolution of language has proceeded in stages, each stage improving communicative efficiency. This article calls into question that idea, pointing to the fact that well‐understood purely historical processes suffice to explain the emergence of many grammatical properties. However, one central aspect of formalist linguistic theorizing—the idea of the autonomy of syntax—poses a challenge to the idea, central to most functionalist approaches, that the nature of grammar is a product of purely historical (as opposed to biological) evolution. The article concludes with a discussion of the origins of the autonomy of syntax, speculating that it may well have arisen over evolutionary (as opposed to historical) time. (shrink)

We show that vector space semantics and functional semantics in two-sorted first order logic are equivalent for pregroup grammars. We present an algorithm that translates functional expressions to vector expressions and vice-versa. The semantics is compositional, variable free and invariant under change of order or multiplicity. It includes the semantic vector models of Information Retrieval Systems and has an interior logic admitting a comprehension schema. A sentence is true in the interior logic if and only if the ‘usual’ (...) first order formula translating the sentence holds. The examples include negation, universal quantifiers and relative pronouns. (shrink)

The positions of Frege, Russell and Wittgenstein on the priority of complexes over (propositional) functions are sketched, challenging those who take the "judgment centered" aspects of the Tractatus to be inherited from Frege not Russell. Frege's views on the priority of judgments are problematic, and unlike Wittgenstein's. Russell's views on these matters, and their development, are discussed in detail, and shown to be more sophisticated than usually supposed. Certain misreadings of Russell, including those regarding the relationship between propositional functions and (...) universals, are exposed. Wittgenstein's and Russell's views on logical grammar are shown to be very similar. Russell's type theory does not countenance types of genuine entities nor metaphysical truths that cannot be put into words, contrary to conventional wisdom. I relate this to the debate over "inexpressible truths" in the Tractatus. I lastly comment on the changes to Russell's views brought about by Wittgenstein's influence. (shrink)

In this paper we discuss a new perspective on the syntax-semantics interface. Semantics, in this new set-up, is not ‘read off’ from Logical Forms as in mainstream approaches to generative grammar. Nor is it assigned to syntactic proofs using a Curry-Howard correspondence as in versions of the Lambek Calculus, or read off from f-structures using Linear Logic as in Lexical-Functional Grammar (LFG, Kaplan & Bresnan [9]). All such approaches are based on the idea that syntactic objects (trees, (...) proofs, fstructures) are somehow prior and that semantics must be parasitic on those syntactic objects. We challenge this idea and develop a grammar in which syntax and semantics are treated in a strictly parallel fashion. The grammar will have many ideas in common with the (converging) frameworks of categorial grammar and LFG, but its treatment of the syntax-semantics interface is radically different. Also, although the meaning component of the grammar is a version of Montague semantics and although there are obvious affinities between Montague’s conception of grammar and the work presented here, the grammar is not compositional, in the sense that composition of meaning need not follow surface structure. (shrink)

This book fills a long standing need for a basic introduction to Cognitive Grammar that is current, authoritative, comprehensive, and approachable. It presents a synthesis that draws together and refines the descriptive and theoretical notions developed in this framework over the course of three decades. In a unified manner, it accommodates both the conceptual and the social-interactive basis of linguistic structure, as well as the need for both functional explanation and explicit structural description. Starting with the fundamentals, essential (...) aspects of the theory are systematically laid out with concrete illustrations and careful discussion of their rationale. Among the topics surveyed are conceptual semantics, grammatical classes, grammatical constructions, the lexicon-grammar continuum characterized as assemblies of symbolic structures, and the usage-based account of productivity, restrictions, and well-formedness. The theory's central claim - that grammar is inherently meaningful - is thereby shown to be viable. The framework is further elucidated through application to nominal structure, clause structure, and complex sentences. These are examined in broad perspective, with exemplification from English and numerous other languages. In line with the theory's general principles, they are discussed not only in terms of their structural characterization, but also their conceptual value and functional motivation. Other matters explored include discourse, the temporal dimension of language structure, and what grammar reveals about cognitive processes and the construction of our mental world. (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)

The label `semiotic grammar' captures a fundamental property of the grammars of human languages: not only is language a semiotic system in the familiar Saussurean sense, but its organizing system, its grammar, is also a semiotic system. This proposition, explicated in detail by William McGregor in this book, constitutes a new theory of grammar. Semiotic Grammar is `functional' rather than `formal' in its intellectual origins, approaches, and methods. It demonstrates, however, that neither a purely (...) class='Hi'>functional nor a purely formal account of language is adequate, given the centrality of the sign as the fundamental unit of grammatical analysis. The author distinguishes four types of grammatical signs: experiential, logical, interpersonal, and textural. The signifiers of these signs are syntagmatic relationships of the following types, respectively: constituency, dependency, conjugational and linking. McGregor illustrates and exemplifies the theory with data from a variety of languages including English, Acehnese, Polish, Finnish, Japanese, Chinese, and Mohawk; and from his pioneering research on Gooniyandi and Nyulnyul, two languages of the Kimberleys region of Western Australia. (shrink)

What is the function of concepts pertaining to meaning in socio-linguistic practice? In this study, the authors argue that we can approach a satisfactory answer by displacing the standard picture of meaning talk as a sort of description with a picture that takes seriously the similarity between meaning talk and various types of normative injunction. In their discussion of this approach, they investigate the more general question of the nature of the normative, as well as a range of important topics (...) specific to the philosophy of language. (shrink)

The paper presents a system for construction classification representing multiple levels of specification, such as grammatical functions, grammatically reflected actants, and lexical semantics, aligned with a compositional system of sign combination mediating between a construction perspective and a valence perspective. The system uses a feature structure formalism based on Head-Driven Phrase Structure Grammar but with essential elements from Lexical Functional Grammar, and has as implementation background large scale HPSG grammars. While on the one extreme being able to (...) encode word level selection in multi-word patterns, the system on the other provides a compact format for construction specification, allowing for cross-language comparison both in construction and valence frame inventories. Pivotal in these capacities as well as in sign formalization in general are the grammatical functions. The paper motivates the usefulness of the various functionalities and illustrates the way in which they work together in a formally uniform system. (shrink)

Journal Name: Cognitive Linguistics Issue: Ahead of print.

One of the cardinal assumptions about the nature of grammar is that it is a formal system, meaning that the operations and symbols in the grammar should have a precise meaning, so that one can tell precisely how it functions, and whether a given structure is in fact created by the grammar. The issue of how much information is available to the grammar, viewed as a computational device that computes structures, is called the issue of computational (...) complexity. The computational powers of various grammars, and the capacity of recognition devices to characterize as licit or not the structures that they generate, has been the province of mathematical linguistics, but has also occasionally been felt to have implications for empirical syntactic theory. One central question that has raised its head over the years is the question of whether or not grammar ( which is now referred to as CHL, for Computation of Human Language (Chomsky (1995)) is Markovian, an issue first raised in Chomsky (1957). For a computational device to be Markovian, it can only make reference to the current state that the device is in, when deciding what the next state of the device can be; it cannot, for example, make reference to alternative states, earlier states, future states, or , as a consequence of its being a formal system, factors outside of the computational device. (shrink)

The statistics-based method ignores the semantic constraints in the English grammar area branch training model and is unable to identify the orientation information effectively. This paper systematically discusses the close relationship between English grammar area branch training model filtering, English grammar area branch training model retrieval, and machine learning. By analyzing the role of the situation in the understanding of the English grammar area branch training model, the relationship between the English grammar area branch training (...) model and situation model and the correlation between the features of the English grammar area branch training model and situation model are determined, and then, a set of filtering methods for the English grammar area branch training model are proposed. At present, there are few research studies on bias filtering, and the method of thematic filtering is generally used, which has poor effect. This paper makes full use of the domain knowledge and adopts the semantic pattern analysis technology to establish a wealth of semantic analysis resources, including various dictionaries, rules, and weight representation, so as to effectively filter the inclined English grammar area branch training model. The introduction of semantic data sources solves the problem of data sparsity and cold start in the traditional collaborative filtering system. In addition, in order to improve the scalability and real-time performance of the recommendation system, the data mining method is used to perform fuzzy clustering for users and projects in the offline data preprocessing stage. This paper proposes a search and filter scheme based on the orientation of the training model in English grammar area, elaborates on the details, constructs a whole set of function structure from representation to weight, and gives the experimental results, which prove that the system has a good filtering effect and is fast. Compared with the traditional statistical methods, the results are satisfactory. (shrink)

1 Recognition Device . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2 Classical Categorial Grammar. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 3 (...) Classical Categorial Grammar. Examples . . . . . . . . . . . . . . . . . . . . . 5 4 Logic Grammar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 5 Lambek calculus. Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 6 Lambek calculus. Semantics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 7 Lambek calculus. Advantages . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 8 Derivations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 9 Residuated and Galois Connected Functions . . . . . . . . . . . . . . . . . . 14 10 Interpretation of the Constants. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 11 Nonveridical Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 12 Dutch. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 13 Classification of NPIs in Dutch . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 14 Antilicensing Relation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20.. (shrink)

We reformulate minimalist grammars as partial functions on term algebras for strings and trees. Using filler/role bindings and tensor product representations, we construct homomorphisms for these data structures into geometric vector spaces. We prove that the structure-building functions as well as simple processors for minimalist languages can be realized by piecewise linear operators in representation space. We also propose harmony, i.e. the distance of an intermediate processing step from the final well-formed state in representation space, as a measure of processing (...) complexity. Finally, we illustrate our findings by means of two particular arithmetic and fractal representations. (shrink)

This book addresses fundamental issues in linguistic theory, including the relation between formal and cognitive approaches, the autonomy of syntax, the content of universal grammar, and the value of generative and functional approaches to grammar. It focuses on the grammar of case relations, signalled by morphological case, prepositions, and word order. Part I offers a critical history of modern grammars of case, focussing on the last four decades and setting this in the context of earlier, including (...) ancient, developments. The subjects considered include the evolution of ideas concerning deep structure and semantic and grammatical relations, and arguments for the maintenance of the traditional central position of case in the grammar. In parts II and III Professor Anderson examines the category of case and central unresolved issues in the grammar of case. The latter include questions relating to the idea of an ontologically-based grammar, particularly the degree to which syntactic categories and relationships are grounded in meaning, and the notion of linguistic creativity. This involves a consideration of the way in which cases may be identified and whether their distribution is determined through semantics. The book sheds new light on the interactions between meaning and grammar and on the structure and development of lexical and grammatical systems. The argument and its far-reaching consequences will be of wide interest to linguists, philosophers and others seeking to understand the workings of language. (shrink)

Is there a grammar of the name ‘God’? In an obvious and trivial sense there certainly is. This term, being a part of the English language, has to obey the grammatical rules of that language. So, for example, by consulting the relevant textbooks and dictionaries we can establish that ‘God’ is a noun, so it can function as the subject or predicate of simple categorical sentences, but it cannot, for example, function as a verb or a preposition.

What do we learn when we focus analysis – not so much on the content of experience – as on its universal features and functioning? Descartes believed that such focus (when exercised by someone employing his first-personal method of inquiry) held the key to the fundamental metaphysics of our universe – that it could reveal fundamental truths about the nature of substance, or at any rate could reveal some fundamental metaphysical categories and their contrasts. He believed such focus could lead (...) to a certain doctrine of dualism. Philosophers now widely hold that Descartes’ method was profoundly wrongheaded, in no way a candidate method for illuminating the material universe that is our own. In fact, however, Descartes’ method is considerably more serviceable. While unable to do what Descartes thought it could do, nonetheless it is ideal for examining a taxon that this essay will refer to as grammar or structure in the most general sense. Grammar is a contrary of content or materiality, though not the only one since materiality enjoys multiple contraries. Thus Descartes’ method can lead us to a certain dualism, but not the one that Descartes imagined. (shrink)

Every pregroup grammar is shown to be strongly equivalent to one which uses basic types and left and right adjoints of basic types only. Therefore, a semantical interpretation is independent of the order of the associated logic. Lexical entries are read as expressions in a two sorted predicate logic with ∈ and functional symbols. The parsing of a sentence defines a substitution that combines the expressions associated to the individual words. The resulting variable free formula is the translation (...) of the sentence. It can be computed in time proportional to the parsing structure. Non-logical axioms are associated to certain words (relative pronouns, indefinite article, comparative determiners). Sample sentences are used to derive the characterizing formula of the DRS corresponding to the translation. (shrink)

In this paper, I explore the hypothesis that constructions — here understood primarily as the dependencies of Word Grammar — can undergo systematic change, sometimes partly due to the effects of the grammaticalization of a lexical item or class of lexical items. I argue that the development of will as a future tense marker in English involves the development of a new construction where two separate syntactic items are associated with a single event in the semantics. I also look (...) at the loss of the impersonal construction in English, where it has been argued that the change is driven by an increase in the schematicity of the Transitive Construction, as well as having been argued that dative experiencers have been reclassified as subjects. I observe that it has also been noted that dative experiencers could function as subjects in earlier varieties of English, and suggest that this is an example of category strengthening. (shrink)

Dewey proposed a new theory of language, in which the form (such as symbols) and content of language are not separated. The content of language includes the physical aspects of the world, which are purely quantitative: the life process, which involves functional responses to qualities, and the human life process, which involves the conscious integration of the potentiality of qualities to form a functional whole. The pinnacle of this process is individuality, or the emergence of a unique function (...) to change social habits through a democratic process. However, there is a real danger that the form and content of language become split. To prevent such a split, Dewey proposed education through the basic occupations of the production of food, clothing and shelter. (shrink)

This article introduces Agentive Cognitive Construction Grammar, an emerging field that seeks to connect the linguistic system with speaker-meaning. The stated purpose is thus to tackle a pervasive disconnect in both cognitive linguistics and construction grammar, whereby the linguistic system and speaker selections are separated in the belief that language is essentially a mental process associated with the brain, and hence, separated from bodily experience. I contend this view by introducing a triadic model of construction in which form (...) and function are inextricably bound up with agency. This is possible because language is tethered to senses of movement and balance that connect experiences with the physical world with the mental. A major insight of the paper is that argument structure constructions partake of both linguistic and non-linguistic signs, which provides speakers with a means to verbalize their thoughts and distribute agency in specific events. (shrink)

Śaṅkara’s Advaita Vedānta is largely dismissive of ritual action, in part because the metaphysical position of non-duality erodes any independent existence of the individual as a ritual agent, and because knowledge of non-duality is thought to be independent of action. However, a close reading of Śaṅkara shows that he does accept forms of devotional practice that have remained largely marginalized in studies of Advaita Vedānta. This article compares and contrasts contemplative devotion, in the form of visualized meditations on īśvara, with (...) knowledge-like contemplation of non-duality. The challenge is that the Upaniṣads provide no clear distinctions between the two, and these upāsanas appear indistinguishable from nididhyāsana because they incorporate a conceptual identity with brahman or appear to affirm non-duality in some sense. Furthermore, the practices of both are rather obscure despite their significance in Śaṅkara’s system. Analyzing Śaṅkara’s interpretations of their underlying Upaniṣadic sentence structures in terms of grammatical apposition and reconstructing their use of visualization, superimposition, and negation, provides clues to properly delineate these practices, and to understand their epistemological functions and potential religious experiences. (shrink)

The idea that natural language grammar and planned action are relatedsystems has been implicit in psychological theory for more than acentury. However, formal theories in the two domains have tendedto look very different. This article argues that both faculties sharethe formal character of applicative systems based on operationscorresponding to the same two combinatory operations, namely functional composition and type-raising. Viewing them in thisway suggests simpler and more cognitively plausible accounts of bothsystems, and suggests that the language faculty evolved (...) in the speciesand develops in children by a rather direct adaptation of a moreprimitive apparatus for planning purposive action in the world bycomposing affordances of objects or tools. Theknowledge representation that underlies such planning is alsoreflected in the natural language semantics of tense, mood, andaspect, which the paper begins by arguing provides the key tounderstanding both systems. (shrink)

Name der Zeitschrift: Cognitive Linguistics Jahrgang: 26 Heft: 4 Seiten: 613-632.

Drawing on recent work in developmental and comparative psychology, this paper argues that demonstratives function to coordinate the interlocutors' joint focus of attention, which is one of the most basic functions of human communication. The communicative importance of demonstratives is reflected in a number of properties that together characterize them as a particular word class: In contrast to other closed-class expressions, demonstratives are universal, they are generally so old that their roots cannot be traced back to other linguistic items, they (...) are among the earliest words that children learn, and they are closely tied to a particular gesture. Moreover, demonstratives play an important role in the organization of discourse and the diachronic evolution of grammar, which arguably is also motivated by their communicative function to establish joint attention. (shrink)

We introduce _Interleave-Disjunction-Lock parallel multiple context-free grammars_ (IDL-PMCFG), a novel grammar formalism designed to describe the syntax of free word order languages that allow for extensive interleaving of grammatical constituents. Though interleaved constituents, and especially the so-called hyperbaton, are common in several ancient (Classical Latin and Greek, Sanskrit...) and modern (Hungarian, Finnish...) languages, these syntactic structures are often difficult to express in existing formalisms. The IDL-PMCFG formalism combines Seki et al.’s parallel multiple context-free grammars (PMCFG) with Nederhof and Satta’s (...) IDL expressions. We define the semantics of IDL-PMCFGs and study their expressivity, proving that IDL-PMCFG extends both PMCFG and IDL-CFG (context-free grammars equipped with IDL expressions) and that IDL-PMCFG parsing is \(\mathrm {NP}\) -hard. We then introduce COMPĀ, a programming language extending Ranta’s Grammatical Framework (GF) and built as a high-level front-end formalism to IDL-PMCFG for practical grammar development. We present a parsing algorithm for IDL-PMCFG inspired by earlier Earley-style PMCFG parsing algorithms and Nederhof and Satta’s IDL graphs and give a worst-case estimate of its complexity as a function of several metrics on IDL expressions, the size of the input and a new notion of the _G_-density of a language. (shrink)

The paper aims to explore the phenomenon of the spread in democracy of new powers – produced by inexhaustible technological developments – from the perspective of the philosophy of Institutions. It traces the original idea of democracy, in which the «government of the people» arises from the conversion of natural liberty into social and political liberty, dwells on the political and juridical meaning of authority, analyses the traditional instruments used to condition human opinions and behaviours, and reconstructs – in light (...) of this itinerary – the functioning and new grammar of the digital order. What opens before us is a fluid and disorganized scenario, dominated by digital systems, algorithms and artificial intelligence, that draws the attention of philosophers and sociologists, jurists and scholars of language and of anthropology. The old single order, outlined by the political and juridical machine of the modern State – which, through an aloof and solemn language, aimed to impart regularity to human behaviour and to give society direction – is replaced by multifarious models of order, each of which is generated by its own logic, practices, and autonomous control techniques. Under the omnipotence of technology, concepts such as authority, liberty, truth and power undergo a vortex of semantic transformations that penetrate a new symbolic space into human reasoning and actions. (shrink)