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.

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)

We present Logical Description Grammar (LDG), a model ofgrammar and the syntax-semantics interface based on descriptions inelementary logic. A description may simultaneously describe the syntacticstructure and the semantics of a natural language expression, i.e., thedescribing logic talks about the trees and about the truth-conditionsof the language described. Logical Description Grammars offer a naturalway of dealing with underspecification in natural language syntax andsemantics. If a logical description (up to isomorphism) has exactly onetree plus truth-conditions as a model, it completely specifies (...) thatgrammatical object. More common is the situation, corresponding tounderspecification, in which there is more than one model. A situation inwhich there are no models corresponds to an ungrammatical input. (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)

Lexical innovations (e.g., zero-derivations coined on the fly by a speaker) seem to bear semantic content. Yet, such expressions cannot bear semantic content as a function of the conventions of meaning in force in the language, since they are not part of its lexicon. This is in tension with the commonplace view that the semantic content of lexical expressions is constituted by linguistic conventions. The conventionalist has two immediate ways out of the tension. The first is to preserve (...) the conventionalist assumption and deny that lexical innovations bear semantic content. The second is to dynamicize the conventionalist assumption, that is, argue that presentations of unattested expressions trigger an augmentation of the standing semantic resources of the language and instantiate content as a result of this underlying update. Building on a comparison with the production of novel onomatopoeic words, iconic pseudowords and pro-speech gestures, the paper argues that the issue is best addressed by suspending the conventionalist assumption, and describes the metasemantic implications of the claim. (shrink)

In the TACITUS project for using commonsense knowledge in the understanding of texts about mechanical devices and their failures, we have been developing various commonsense theories that are needed to mediate between the way we talk about the behavior of such devices and causal models of their operation. Of central importance in this effort is the axiomatization of what might be called commonsense metaphysics. This includes a number of areas that figure in virtually every domain of discourse, such as granularity, (...) scales, time, space, material, physical objects, shape, causality, functionality, and force. Our effort has been to construct core theories of each of these areas, and then to define, or at least characterize, a large number of lexical items in terms provided by the core theories. In this paper we discuss our methodological principles and describe the key ideas in the various domains we are investigating. (shrink)

Frames, i.e., recursive attribute-value structures, are a general format for the decomposition of lexical concepts. Attributes assign unique values to objects and thus describe functional relations. Concepts can be classified into four groups: sortal, individual, relational and functional concepts. The classification is reflected by different grammatical roles of the corresponding nouns. The paper aims at a cognitively adequate decomposition, particularly, of sortal concepts by means of frames. Using typed feature structures, an explicit formalism for the characterization of (...) cognitive frames is developed. The frame model can be extended to account for typicality effects. Applying the paradigm of object-related neural synchronization, furthermore, a biologically motivated model for the cortical implementation of frames is developed. Cortically distributed synchronization patterns may be regarded as the fingerprints of concepts. (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)

The paper briefly surveys the sentential proof-theoretic semantics for fragment of English. Then, appealing to a version of Frege’s context-principle (specified to fit type-logical grammar), a method is presented for deriving proof-theoretic meanings for sub-sentential phrases, down to lexical units (words). The sentential meaning is decomposed according to the function-argument structure as determined by the type-logical grammar. In doing so, the paper presents a novel proof-theoretic interpretation of simple type, replacing Montague’s model-theoretic type interpretation (in arbitrary Henkin (...) models). The domains of derivations are collections of derivations in the associated “dedicated” natural-deduction proof-system, and functions therein (with no appeal to models, truth-values and elements of a domain). The compositionality of the semantics is analyzed. (shrink)

Embodied cognitive theories predict that linguistic conceptual representations are grounded and continually represented in real world, sensorimotor experiences. However, there is an on-going debate on whether this also holds for abstract concepts. Grammar is the archetype of abstract knowledge, and therefore constitutes a test case against embodied theories of language representation. Former studies have largely focussed on lexical-level embodied representations. In the present study we take the grounding-by-modality idea a step further by using reaction time (RT) data from (...) the linguistic processing of nominal classifiers in Chinese. We take advantage of an independent body of research, which shows that attention in hand space is biased. Specifically, objects near the hand consistently yield shorter RTs as a function of readiness for action on graspable objects within reaching space, and the same biased attention inhibits attentional disengagement. We predicted that this attention bias would equally apply to the graspable object classifier but not to the big object classifier. Chinese speakers (N = 22) judged grammatical congruency of classifier-noun combinations in two conditions: graspable object classifier and big object classifier. We found that RTs for the graspable object classifier were significantly faster in congruent combinations, and significantly slower in incongruent combinations, than the big object classifier. There was no main effect on grammatical violations, but rather an interaction effect of classifier type. Thus, we demonstrate here grammatical category- specific effects pertaining to the semantic content and by extension the visual and tactile modality of acquisition underlying the acquisition of these categories. We conclude that abstract grammatical categories are subjected to the same mechanisms as general cognitive and neurophysiological processes and may therefore be grounded. (shrink)

In recent decades, the analysis of phraseology has made use of the exploration of large corpora as a source of quantitative information about language. This paper intends to present the main lines of work in progress based on this empirical approach to linguistic analysis. In particular, we focus our attention on some problems relating to the morpho-syntactic annotation of corpora. The CORIS/CODIS corpus of contemporary written Italian, developed at CILTA – University of Bologna (Rossini Favretti 2000; Rossini Favretti, Tamburini, De (...) Santis in press), is a synchronic 100-million-word corpus and is being lemmatised and annotated with part-of-speech (POS) tags, in order to increase the quantity of information and improve data retrieval procedures (Tamburini 2000). The aim of POS tagging is to assign each lexical unit to the appropriate word class. Usually the set of tags is pre-established by the linguist, who uses his/her competence to identify the different word classes. The very first experiments we made revealed how the traditional part-of-speech distinctions in Italian (generally based on morphological and semantic criteria) are often inadequate to represent the syntactic features of words in context. It is worth noting that the uncertainties in categorisation contained in Italian grammars and dictionaries reflect a growing difficulty as they move from fundamental linguistic classes, such as nouns and verbs, to more complex classes, such as adverbs, pronouns, prepositions and conjunctions. This latter class, that groups together elements traditionally used to express connections between sentences, appears inadequate when describing cohesive relations in Italian. This phenomenon actually seems to involve other elements traditionally assigned to different classes, such as adverbs, pronouns and interjections. Recent studies proposed the class of ‘connectives’, grouping all words that, apart from their traditional word class, have the function of connecting phrases and contributing to textual cohesion. From this point of view, conjunctions can be considered as part of phrasal connectives, that can in turn be included in the wider category of textual connectives. The aim of this study is to identify elements that can be included in the class of phrasal connectives, using quantitative methods. According to Shannon and Weaver’s (1949) observation that words are linked by dependent probabilities, corroborated by Halliday’s (1991) argument that the grammatical “system” (in Firth’s sense of the term) is essentially probabilistic, quantitative data are introduced in order to provide evidence of relative frequencies. Section 2 presents a description of word-class categorisation from the point of view of grammars and dictionaries arguing that the traditional category of conjunctions is inadequate for capturing the notion of phrasal connective. Section 3 examines the notion of ‘connective’ and suggests a truth-function interpretation of connective behaviour. Section 4 describes the quantitative methods proposed for analysing the distributional properties of lexical units, and section 5 comments on the results obtained by applying such methods drawing some provisional conclusions. (shrink)

Lexical semantics has a problem. As Allesandro Lenci put it, the problem is that it cannot distinguish semantic from non-semantic relationships within its data. (2008, 2014). The data it relies on are patterns of co-occurrence of lexemes within linguistic corpora. But patterns of co-occurrence can reflect either our knowledge of what the world is like or our knowledge of what words mean -- matters of fact or matters of meaning. -/- In this essay, I develop a semantic theory which (...) draws this distinction in a way which makes it discernible in lexical semantics and cognitive science research. In doing so, this theory unifies truth-functional and structuralist approaches to semantics, and provides an integrated explanation of meaning and reference. -/- I base this semantic theory on linguistic dispositions to pair words with words, and to pair words with things, both based on learned patterns of association. These dispositions manifest themselves in verbal behavior, and (in Part 2) I propose a new neurophysical model to account for these dispositions which underlie both the intensional and extensional patterns in that behavior. (shrink)

Proof-theoretic models of grammar are based on the view that an explicit characterization of a language comes in the form of the recursive enumeration of strings in that language. That recur-sive enumeration is carried out by a procedure which strongly generates a set of structural de-scriptions Σ and weakly generates a set of strings S; a grammar is thus a function that pairs an element of Σ with elements of S. Structural descriptions are obtained by means of Context-Free (...) phrase structure rules or via recursive combinatorics and structure is assumed to be uniform: binary branching trees all the way down. In this work we will analyse natural language constructions for which such a rigid conception of phrase structure is descriptively inadequate, and pro-pose a solution for the problem of phrase structure grammars assigning too much or too little structure to natural language strings: we propose that the grammar can oscillate between levels of computational complexity in local domains, which correspond to elementary trees in a lexicalised Tree Adjoining Grammar. (shrink)

(1) This is Part 2 of the semantic theory I call TM. In Part 1, I developed TM as a theory in the analytic philosophy of language, in lexical semantics, and in the sociology of relating occasions of statement production and comprehension to formal and informal lexicographic conclusions about statements and lexical items – roughly, as showing how synchronic semantics is a sociological derivative of diachronic, person-relative acts of linguistic behavior. I included descriptions of new cognitive psychology experimental (...) paradigms which would allow us to precisely measure the two constituents of semantics – meaning and reference – both at the level of individual speech acts and at the level of societal convergences, i.e. at both the token and type levels. -/- (2) In the Introduction, I recapitulate the arguments of Part 1. The Introduction also develops some analytic philosophical and lexical semantics themes not discussed in Part 1. -/- (3) After the Introduction, I present neural TM (nTM) as a theory of the neural mechanisms and processes which give rise to these person/occasion-relative acts of linguistic behavior. I develop nTM at three levels, the first two of which describe linguistic/semantic functions independently of their cortical locations. At the first level, I describe individual word-to-word and word-to-object connections. At the second level, I describe the corresponding structuralist networks of which they are the individual components. At this level, I introduce some key linguistic concepts of TM – its graded meaning, reference, and generalization sets, and the types of statements which express various levels of word-to-word and word-to-object relationships among lexical items which, because of the constraints they impose on the use of those lexical items in statements we produce and comprehend, are concepts. This constitutes the second structural level of nTM. -/- (4) At the third level, I associate the non-localized structures of the previous levels with cortically located neural structures and with the fasciculi that connect them. I distinguish neural areas in which primary (phonetic) and secondary (orthographic) lexicons are stored in long-term memory. I also describe the embodied concepts which co-exist in the anterior temporal lobes with the images they lexicalize. These concepts are often said to name physical objects and their features, although what they in fact name are kinds of physical objects and features. I describe how conceptual constraints and referential constraints interact to channel our intentions to say how things are into statements which are semantically well-formed, and which consequently successfully communicate information. -/- (5) Following this presentation of nTM, I examine five prominent neural semantic theories. I point out what is wrong with each of them as far as their explanations of semantics are concerned, and I also indicate how nTM can replace the “semantic cores” of those theories. -/- (6) The two basic mistakes made by neuroscience semantic theories, as I will explain, are (i) that all but one of them regard semantics as a matter of the association of words with perceptual images, and of generalizations from those associations; and (ii) that they all rely on an unspecified set of neural structures which purportedly encode the meaning of concepts in abstraction from their phonological and orthographic forms. nTM maintains, in contrast, that there are no abstract neural representations of semantic content. Neural constraints on our linguistic behavior, especially on our ascriptive and co-ascriptive use of words, express the semantic constraints on those words which make them concepts. That is the semantic content of words. -/- (7) I next consider several results from neuroscience experimental data which have been given one interpretation by one or another of the standard neurosemantic theories, but to which nTM gives a different interpretation. I include several predictions which I have found neither confirmed nor disconfirmed in the experimental neuroscience literature. -/- (8) After a concluding section in which I summarize the major changes to neurosemantic theory introduced by TM, and the analytic philosophy of language and lexical semantics contexts within which TM is situated, there follows an appendix in which I discuss neural net AI, and make some recommendations for implementing nTM in silicon. (shrink)

Abu Nasr Muhammad Al-Farabi (870–950 AD), the second outstanding representative of the Muslim peripatetic after al Kindi (801–873 AD), was born in Turkestan about 870 AD. Al-Farabi’s studies commenced in Farab, then he travelled to Baghdad, where he studied logic with a Christian scholar named Yuhanna b. Hailan. Al-Farabi wrote numerous works dealing with almost every branch of science in the medieval world. In addition to a large number of books on logic and other sciences, he came to be known (...) as the “Second Teacher” (al-Mou’allim al-Thani), Aristotle being the first. One of Al-Farabi’s most important contributions was clarifying the func- tions of logic as follows: 1. He defined logic and compared it with grammar, and discussed the clas- sification and fundamental principles of science in a unique and useful manner. 2. He made the study of logic easier by dividing it into two categories: Takhayyul (idea) and Thubut (proof). 3. He believed that the objective of logic is to correct faults we may find in ourselves and in others, and faults that others find in us. 4. He said that if we do not comprehend logic, we must either have faith in all people, or mistrust all people, or differentiate between them. Such actions would be undertaken without a basis of evidence or experimen- tation. In this paper, I will analyse the functions of logic in Al-Farabi’s works, Enumeration of the Sciences, Book on the Syllogism, Book on Dialectic, Book on Demonstration and Ring Stones of Wisdom, in order to present his contributions in the field of logic. (shrink)

In this article, I argue that if tacit knowledge of grammar is analyzable in functional‐computational terms, then it cannot ground linguistic meaning, structure, or sound. If to know or cognize a grammar is to be in a certain computational state playing a certain functional role, there can be no unique grammar cognized. Satisfying the functional conditions for cognizing a grammar G entails satisfying those for cognizing many grammars disagreeing with G about expressions' semantic, (...) phonetic, and syntactic values. This threatens the Chomskyan view that expressions have such values for speakers because they cognize grammars assigning them those values. For if this is true, semantics, syntax, and phonology must be indeterminate, thanks to the indeterminacy of grammar‐cognizing (qua functional‐computational state). So, the fact that a speaker cognizes a grammar cannot explain the determinate character of their language. (shrink)

This paper investigates the linguistic basis for moral non-cognitivism, the view that sentences containing moral predicates do not have truth conditions. It offers a new argument against this view by pointing out that the view is incompatible with our best empirical theories about the grammatical encoding of illocutionary force potentials. Given that my arguments are based on very general assumptions about the relations between the grammar of natural languages and a sentence's illocutionary function, my arguments are broader in scope (...) than the familiar semantic objections to non-cognitivism relating to the so-called Frege-Geach problem: even if a solution to the Frege-Geach problem has been found, my arguments still stand. (shrink)

This is what I hope is an illuminating, and to a certain degree, novel exposition of Montague Grammar. It is against many standard interpretations, and perhaps even against things Montague himself says at times. However, it makes more sense of how his various commitments fit together in a systematic way. Why, for instance, is it called "Montague Grammar" rather than "Montague Semantics," and what role does his commitment to Fregeanism plays in his conception of language? It is clear (...) that he is committed to the idea that function application is the fundamental mode of semantic composition, and that he is committed to an intensional framework. However, intensions have, since Carnap, been understood as nearly conceptually equivalent to functions from possible worlds to sets of individuals. But, in truth, possible worlds semantics is just dressed up extensional semantics. There are just more objects to go around to serve as inputs for functions, whatever we think of their ontological status. That is, possible worlds semantics is really a semantic reduction of intensional semantics achieved by expanding our ontological commitments. It would be difficult to make sense of Montague's strong commitment to Fregean semantics, if his notion of intension was that of Carnap's. According to my interpretation, Montague's notion of intension must be distinct from the version adopted by possible world semantics. Montague took seriously the idea that intensional semantics was something quite different from extensionalist semantics. The first was not reducible to the second semantically speaking. Just as Frege believed that meaning consisted of both sense and reference, so too did Montague. However, just as Frege also believed, Montague thought that sense and reference were systematically related. As I illustrate, interpreting Montague as adopting a different notion of intension can also resolve the apparent problem of distinguishing the difference in meaning between intensional equivalents. It might also enable us to draw a distinction in epistemic logic between an agent having contradictory beliefs and believing contradictions. (shrink)

The Japanese particle 'to' serves as a quotative marker, either indicating the content of speech or thought, or serving related functions. The particle 'tte' is frequently identified as an informal variant of 'to', serving identical or nearly identical functions. Scholars have suggested the two forms may have different distribution or function, but to date there has been little empirical work to distinguish the forms using broad-based corpus methods. This study of a corpus 129 informal conversations suggests that both particles are (...) used in informal contexts. The particle 'tte' tends to occur with verbs indicating speech, or with no verb; the particle 'to' tends to occur with verbs indicating thought. Discussion also reveals some difficulties inherent in the use of morphological parsers for large-scale corpus study. Over-specifying the morphological contexts in which a form may occur risks only finding instances that support current models of grammar. (shrink)

Proposition and sentence are two separate entities indicating their specific purposes, definitions and problems. A proposition is a logical entity. A proposition asserts that something is or not the case, any proposition may be affirmed or denied, all proportions are either true (1’s) or false (0’s). All proportions are sentences but all sentences are not propositions. Propositions are factual contains three terms: subject, predicate and copula and are always in indicative or declarative mood. While sentence is a grammatical entity, a (...) unit of language that expresses a complete thought; a sentence may express a proposition, but is distinct from the proposition it may be used to express: categories, declarative sentences, exclamatory, imperative and interrogative sentences. Not all sentences are propositions, propositions express sentence. Sentence is a proposition only in condition when it bears truth values i.e. true or false. We use English sentences governed by imprecise rule to state the precise rules of proposition. In logic we use sentence as logical entity having propositional function but grammatical sentences are different from logical sentences while the former are having only two divisions namely subject and predicate and may express wishes, orders, surprise or facts and also have multiple subjects and predicates and the latter must be in a propositional form which states quantity of the subject and the quality of the proposition and multiple subjects and multiple predicate make the proposition multiple. (shrink)

Scientific Texts are generally concentrated on highly technical terms, and they are troublesome to understand due to their complexity in forms and meanings. Grammatical metaphor is divided into two broad areas: ideational and interpersonal. This paper focuses on the first type i.e. Ideational Grammatical Metaphor, which includes process types and nominalization. This paper adopts Hallidayan Systemic Functional Grammar to pinpoint and analyze nominalization and the role played by it. With a corpus of 10 authentic scientific texts drawn from (...) very influential magazines, the analysis is conducted based on nominalization, its frequency and process types. The analysis displays that Ideational Grammatical Metaphor has permeated scientific texts and the prevailing process types are material and relational types. Consequently, the tone of the writing is more abstract, technical and formal. Instances of IGM In scientific writing enable technicality and rationality. Based on the findings of this study, some implications can be drawn for academic and scientific writing and reading as well as translators, students and instructors involved in writing and reading pedagogy. (shrink)

Higginbotham argued that certain linguistic items of English, when used in indirect discourse, necessarily trigger first-personal interpretations. They are: the emphatic reflexive pronoun and the controlled understood subject, represented as PRO. PRO is special, in this respect, due to its imposing obligatory control effects between the main clause and its subordinates ). Folescu & Higginbotham, in addition, argued that in Romanian, a language whose grammar doesn’t assign a prominent role to PRO, de se triggers are correlated with the subjunctive (...) mood of certain verbs. That paper, however, didn’t account for the grammatical diversity of the reports that display immunity to error through misidentification in Romanian: some of these reports are expressed by using de se triggers; others are not. Their IEM, moreover, is not systematically lexically controlled by the verbs, via their theta-roles; it is, rather, determined by the meaning of the verbs in question. Given the data from Romanian, I will argue, the phenomenon of IEM cannot be fully explained starting either from the syntactical or the lexical structure of a language. (shrink)

An attractive way to model the relation between an underspecified syntactic representation and its completions is to let the underspecified representation correspond to a logical description and the completions to the models of that description. This approach, which underlies the Description Theory of Marcus et al. 1983 has been integrated in Vijay-Shanker 1992 with a pure unification approach to Lexicalized Tree-Adjoining Grammars (Joshi et al. 1975, Schabes 1990). We generalize Description Theory by integrating semantic information, that is, we propose to (...) tackle both syntactic and semantic underspecification using descriptions. (shrink)

Apollonius Dyscolus’ use of ambiguity in grammatical problem-solving has in recent years had the benefit of two scholarly studies. David Blank, in the course of his analysis of the Syntax as a whole, has described the broad functions which Apollonius assigns to ambiguity. Jean Lallot's 1988 paper, ‘Apollonius Dyscole et l'ambigüité linguistique: problemes et solutions’, is devoted exclusively to the treatment of linguistic ambiguity in Apollonius’ work. Yet it is to be feared that the flood of light thrown by these (...) scholars on what had been an unregarded corner of ancient grammar has shown up rather more than Apollonius would have cared to admit, both about the nature, and about the prospects for success, of the enterprise on which he was engaged. At the same time, certain structural features of ancient grammar, at least of the ancient grammar which Apollonius himself constructed, have come into sharper focus: features clear enough with the benefit of hindsight, but glimpsed, it appears, all too dimly by Apollonius himslf. It is now worryingly clear not only that ambiguity was ambiguous for Apollonius, but also that the ambiguity of ambiguity represented a genuine threat to the coherence and value of his work. In this paper I set out to justify both these claims. (shrink)

Language and politics go hand in hand and learning and comprehending political genre is to learn a language created for codifying, extending and transmitting political discourse in any text/talk. Drawing upon the theoretical framework of Fairclough’s CDA and Rhetoric, the current study aims at investigating Donald Trump’s First Speech, from the point of frequency and functions of some rhetorical strategies (Parallelism, Anaphora and the Power of Three, Antithesis and Expletive, etc.), Nominalization, Passivization, We-groups and Modality as well as Lexical (...) and Textual Analysis, presented to the UN delivered on Sep. 19, 2017. Specifically, the study seeks to determine: (1) how President Trump succeeded in conveying his notions and assumptions to his intended audience, and in convincing and negotiating, (2) how he attempted to explicitly and implicitly pass his attitudes on his targets, and (3) how those orientations, intended notions and assumptions were seamlessly presented to his addressees in discoursal and lexico-grammatical levels; (4) and finally in this underlying trend how he achieved his own ends. The results of the study hope to enhance reading comprehension and writing in academic registers for EFL/ESL students. (shrink)

Natural language contains simple lexical items for some but not all Boolean operators. English, for example, contains conjunction and, disjunction or, negated disjunction nor, but no word to express negated conjunction *nand nor any other Boolean connective. Natural language grammar can be described by a logic that expresses what the lexicon can express by its primitives, and the rest compositionally. Such logic for propositional connectives is described here as a bilateral extension of update semantics. The basic intuition is (...) that a context can be updated by assertion or by rejection, and by one or multiple propositions at once. These distinctions suffice to characterize the logic of the lexicon. (shrink)

This study examined the usage of the relative clause as a wealthy, crucial and complicated syntactic procedure in modern English Literature through the examination of Amaka Azuike’s Violated, a short play. The study determined the use of relative clauses in terms of their frequency of occurrence and type used, and it showed that English language speakers mostly attempt to use the "easier" type of the relative clauses to combine sentences for clarity of relaying messages. The paper extracted examples of relative (...) clauses from Violated to determine its aim of identifying the types of relative clauses used and the frequency of occurrence as well as the functions of the relative clauses in the play. The study also exposed the clarity the reader derives from the author’s use of relative clauses in creating a visible mental picture of issues presented in the story. The study adopted the descriptive grammar framework to account for the way relative clauses have been used in the play by the author. The study found that the author of the text used finite relative clauses and only one complex relative clause. Also, it discovered that the usage of relative clauses made the story quite state-of-the-art in style. (shrink)

My project is to explain why the question ‘How does it feel to be a white problem?’ cannot be answered in the fluttering grammar of white talk. The whiteness of white talk lies not only in its having emerged from white mouths, but also in its evasiveness—in its attempt to suppress fear and anxiety, and its consequential [if unintended] reinscription and legitimation of racist oppression. I White talk is designed, indeed scripted, for the purposes of evading, rejecting, and remaining (...) ignorant about the injustices that flow from whiteness and its attendant privileges. I want to suggest a new point of entry—a way to flip the script, so to speak. -/- I begin with some observations about the basic advantages and disadvantages of using white talk as a route into the white problem. My account develops an expanded version of Alice MacIntyre’s definition of white talk that is attentive to the racialized bodily scripts that accompany white talk. I argue that white talk persists because it has an enduring and powerful moral, ontological, and epistemic pay off for white folks. I explore each payoff with an eye towards clarifying how white talk functions to maintain the illusion that we are invulnerable beings. Next, I pause to reply to the popular objection that this particular critique of white talk silences white people in conversations on race. If we cannot address the question ‘how does it feel to be a white problem’ in the fluttering grammar of white talk, then how shall we begin? In closing, I suggest that we might reduce fluttering by replacing white talk with a discourse of vulnerability, where vulnerability is defined not as weakness, but as a condition for potential. I offer some brief guidelines for how we might start this conversation. (shrink)

There is an emerging view according to which countability is not an integral part of the lexical meaning of singular count nouns, but is ‘added on’ or ‘made available’, whether syntactically, semantically or both. This view has been pursued by Borer and Rothstein among others in order to deal with classifier languages such as Chinese as well as challenges to standard views of the mass-count distinction such as object mass nouns such as furniture. I will discuss a range of (...) data, partly from German, that such a grammar-based view of countability receives support when applied to verbs with respect to the event argument position. Verbs themselves fail to specify events as countable in English and related languages; instead countability is made available only by the use of the event classifier time or else particular lexical items, such as frequency expressions, German beides ‘both’, or the nominalizing light noun -thing. The paper will not adopt or elaborate a particular version of the grammar-based view of countability, but rather critically discuss existing versions and present two semantic options of elaborating the view. (shrink)

The renewed interest in concepts and their role in psychological theorizing is partially motivated by Machery’s claim that concepts are so heterogeneous that they have no explanatory role. Against this, pluralism argues that there is multiplicity of different concepts for any given category, while hybridism argues that a concept is constituted by a rich common representation. This article aims to advance the understanding of the hybrid view of concepts. First, we examine the main arguments against hybrid concepts and conclude that, (...) even if not successful, they challenge hybridism to find a robust criterion for concept individuation and to show an explanatory advantage for hybrid concepts. Then we propose such a criterion of individuation, which we will call ‘functional stable coactivation’. Finally, we examine the prospects of hybridism to understand what is involved in recent approaches to categorization and meaning extraction. 1 The Heterogeneity of Conceptual Representations2 Two Challenges for Hybrid Concepts: Individuation and Explanation2.1 The coordination criterion2.2 Concepts as constituents of thoughts3 Individuating Hybrids: Functional Stable Coactivation4 The Explanatory Power of Hybrid Concepts4.1 Categorization4.2 Meaning extraction4.2.1 Linguistic comprehension and rich lexical entries4.2.2 Polysemy and hybrid concepts5 Conclusion. (shrink)

Recent work in formal semantics suggests that the language system includes not only a structure building device, as standardly assumed, but also a natural deductive system which can determine when expressions have trivial truth-conditions (e.g., are logically true/false) and mark them as unacceptable. This hypothesis, called the `logicality of language', accounts for many acceptability patterns, including systematic restrictions on the distribution of quantifiers. To deal with apparent counter-examples consisting of acceptable tautologies and contradictions, the logicality of language is often paired (...) with an additional assumption according to which logical forms are radically underspecified: i.e., the language system can see functional terms but is `blind' to open class terms to the extent that different tokens of the same term are treated as if independent. This conception of logical form has profound implications: it suggests an extreme version of the modularity of language, and can only be paired with non-classical---indeed quite exotic---kinds of deductive systems. The aim of this paper is to show that we can pair the logicality of language with a different and ultimately more traditional account of logical form. This framework accounts for the basic acceptability patterns which motivated the logicality of language, can explain why some tautologies and contradictions are acceptable, and makes better predictions in key cases. As a result, we can pursue versions of the logicality of language in frameworks compatible with the view that the language system is not radically modular vis-a-vis its open class terms and employs a deductive system that is basically classical. (shrink)

The book is a collection of papers and aims to unify the questions of syntax and semantics of language, which are included in logic, philosophy and ontology of language. The leading motif of the presented selection of works is the differentiation between linguistic tokens (material, concrete objects) and linguistic types (ideal, abstract objects) following two philosophical trends: nominalism (concretism) and Platonizing version of realism. The opening article under the title “The Dual Ontological Nature of Language Signs and the Problem of (...) Their Mutual Relations” provides a broad introduction into the problem area connected with this differentiation, while the logic-formal characteristics of the distinction are framed in the work entitled “On the Type-Token Relationships” (Chapter 1). The basic part of the book deals with issues relating to syntax (Chapters 2-4) and semantics of language (Chapters 5-6), as well as pertaining to syntactic-semantic pragmatic questions (Chapters 7-13). Throughout the book, language, categorial language, is characterized syntactically as generated by classical categorial grammar (Chapter 2) and formalized on two opposing levels: as language of expression-tokens (level of tokens) and language of expression-types (level of types). The author’s considerations contained in Chapters 2 and 4 lead to the important philosophical conclusion that in formal-logical syntactic studies on language the assumption that expression-types constitute the primary language layer while expression-tokens make the secondary one, can be neglected; thus, this speaks in favour of the opposing standpoint—the concretistic one—in the ontology of language syntax. In the works “Meaning and Interpretations”, Parts I and II (Chapters 5 and 6), it is underlined, however, that such semantic concepts as: meaning, denotation and interpretation are defined on the types level, yet their formal definitions require making use of notions of the tokens level. The semantic notions introduced in the above-mentioned articles are also used in the following works of the present selection, under the titles: “Three Principles of Compositionality” and “On Metaknowledge and Truth” (Chapters 7 and 8). They formalize two principles of compositionality that are well known in the literature on the subject, deriving from Frege, i.e. those of meaning and of denotation; they are related to the syntactic principle of compositionality which was introduced by the author. All the three principles are, at the same time, three conditions of homomorphism of categorial language algebra into three kinds of non-standard models of language (one syntactic and two semantic ones: intensional and extensional), which allows introducing three definitions of truthfulness into these models. The next two works in the collection, entitled: “On Language Adequacy” and “What is the Sense in Logic and Philosophy of Language” (Chapters 9 and 10) concern adequacy of categorial language syntax along with its dual semantics: intensional and extensional, and categorial compatibility of any of its syntactic categories with two corresponding semantic categories: intensional and extensional, based on the compatibility the syntactic category of each language expression with the ontological category assigned to its denotatum. The well-known problem of categorial compatibility for first-order quantifiers finds its solution in the paper “Categories of First-Order Quantifiers” (Chapter 11). In the work “Logic and Ontology of Language” (Chapter 12), being in a sense a summary of the considerations presented in the preceding chapters of the book, language is treated as an ontological being, characterized in compliance with the logical conception of language proposed by Ajdukiewicz. Application—like throughout the book—of tools of classical logic and set theory has resulted in emergence of a general formal logical theory of syntax, semantics and pragmatics of language, which takes into account duality in the understanding of linguistic expressions as tokens (concretes) and types (abstract objects). In terms that take into account a functional approach to language itself, there comes out an ontological neutrality of logic with respect to existential assumptions relating to the ontological nature of linguistic expressions and their extra-linguistic ontological counterparts. The issues connected with applying logic while explaining the manner of using linguistic tokens and linguistic types to determine notions of language communication are raised and illustrated in the last chapter of the work, bearing the title “A Logical Conceptualization of Knowledge on the Notion of Language Communication”. (shrink)

The study aimed to analyze lexical items underpinned in the textbooks used in the current teaching of ESP and GE. Using content analysis, a systematic evaluation of texts to examine nuances to bridge the gap between quantitative and qualitative data. This was such of importance, however, difficult to study due to issues of interest like in the study, frequency of lexical items in ESP, and GE textbooks. Results found 13,713 lexical items in Hospitality Management, 17,561 in Criminology, (...) 4576 in Tourism, 7167 in Marine Engineering, and 512 in Information Technology. Furthermore, the overall percentage of ESP lexical items fell in Tier 2 (with multiple-meaning while the least was in Tier 3, specifically on context-specific vocabulary. It is the core of vocabulary learning to ensure English language teaching. It is its goal to help learners better understand language, allowing them to understand others as they want to express themselves as well. This applies not only in speaking but also in writing and reading. Wilkins (1972, p. 111-112) stated that without grammar very little understanding can be acquired and without vocabulary there can be no learning at all. Thus, even without good grammar, so long as you equipped with useful words and expression, one can still manage to communicate. Lewis (1993) argued that “lexis is the heart of language” and that it develops a better fluency and expression in English. He also added the significance to the learners of acquiring a more productive vocabulary knowledge, also, their eagerness to develop their own personal vocabulary strategies. Thus, a proposed bridge model program was recommended to highlight the study findings using the lexicons found from the different respective courses. (shrink)

Quantification, Negation, and Focus: Challenges at the Conceptual-Intentional Semantic Interface Tista Bagchi National Institute of Science, Technology, and Development Studies (NISTADS) and the University of Delhi Since the proposal of Logical Form (LF) was put forward by Robert May in his 1977 MIT doctoral dissertation and was subsequently adopted into the overall architecture of language as conceived under Government-Binding Theory (Chomsky 1981), there has been a steady research effort to determine the nature of LF in language in light of structurally (...) diverse languages around the world, which has ultimately contributed to the reinterpretation of LF as a Conceptual-Intentional (C-I) interface level between the computational syntactic component of the faculty of language and one or more interpretive faculties of the human mind. While this has opened up further possibilities of research in phenomena such as quantifier scope and scope interactions between negation, quantification, and focus, it has also given rise to a few real challenges to linguistic theory as well. Some of these are: (i) the split between lexical meaning – a matter supposedly belonging to the phase-wise selection of lexical arrays – and issues of semantic interpretation that arise purely from binding and scope phenomena (Mukherji 2010); (ii) partially relatedly, the level at which theta role assignment can be argued to take place, an issue that is taken up by me in Bagchi (2007); and (iii) how supposedly “pure” scopal phenomena relating to quantifiers, negation, and emphasizing expressions such as only and even (comparable to, e.g., Urdu/Hindi hii and bhii, Bangla –i and –o) also have dimensions of both focus and discourse reference. While recognizing all of these challenges, this talk aims to highlight particularly challenge (iii), both in terms of scholarship in the past and for the rich prospects for research on languages of south Asia with the semantics of quantification, negation, and focus in view. The scholarship of the past that I seek to relate this issue to is where, parallel to (and largely independently of) the research on LF that had been happening, Barwise and Cooper were developing their influential view of noun phrases as generalized quantifiers, culminating in their key 1981 article “Generalized Quantifiers and Natural Language” while, independently, McCawley, in his 1981 book Everything that Linguists have Always Wanted to Know about Logic, established through argumentation that all noun phrases semantically behave like generalized quantified expressions (further elaborated by him in the second – 1994 – revised edition of his book). I seek to demonstrate, based on limited data analysis from selected languages of south Asia, that our current understanding of quantification, negation, and focus under the Minimalist view owes something significant to the two major, but now largely marginalized, works of scholarship, and that for the way forward it is essential to adopt a more formal-semantic approach as adopted by them and also by later works such as Denis Bouchard’s (1995) The Semantics of Syntax, Mats Rooth’s work on focus (e.g., Rooth 1996, “Focus” in Shalom Lappin’s Handbook of Contemporary Semantic Theory), Heim and Kratzer’s Semantics in Generative Grammar (1998), and Yoad Winter’s (2002) Linguistic Inquiry article on semantic number, to cite just a few instances. (shrink)

Exocentric compounding is a creative morphological process that contributes to the English lexicon. However, because it lacks a syntactic or semantic head, it was deemed an exceptional case in most word-formation literature and hence neglected. Previous work has only been limited to syntax-based grammar and the notion of headedness and thus failed to address the other linguistic rules that constrain exocentric compounds. The current paper aims to identify the frequency of exocentric compounds and thus to determine their viability. The (...) research will also look into how conceptual metaphor and/or conceptual metonymy motivate exocentric compound formation. The results demonstrate that exocentric compounds are viable lexical units, generating content words (e.g., adjectives and adverbs) through productive word-formation processes, and extending word senses. The results also suggest that conceptual metonymy is more active than conceptual metaphor in the formation of exocentric compounds. The present findings have several implications for research on exocentric compounds, conceptual metonymy and conceptual metaphor. (shrink)

Evidentiality refers to the linguistic marking of the nature/directness of source of evidence of an asserted event. Some languages (e.g., Turkish) mark source obligatorily in their grammar, while other languages (e.g., English) provide only lexical options for conveying source. The present study examined whether or under what conditions firsthand source information is relied on more than nonfirsthand sources in establishing discourse coherence. Turkish- and English-speaking participants read a series of somewhat incongruous two-sentence narratives and were to come up (...) with a way of completing each narrative so that it would form a coherent story. Each narrative contrasted two source types (firsthand vs. hearsay, firsthand vs. inference, or inference vs. hearsay) and two information types (general vs. particular information) each presented first or second. Analysis of story completions showed greater overall reliance on firsthand information when it was presented second and referred to a particular event. When the firsthand source occurred first and the particular event occurred second, the latter was favored, especially by Turkish participants. Taken together, the findings suggest that evidentiality interacts with information type in establishing discourse coherence and that both firsthand and particular information are relied on more when presented later rather than earlier in discourse. (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)

The arguments of Fodor, Garret, Walker and Parkes [(1980) Against definitions, Cognition, 8, 263-367] are the source of widespread skepticism in cognitive science about lexical semantic structure. Whereas the thesis that lexical items, and the concepts they express, have decompositional structure (i.e. have significant constituents) was at one time "one of those ideas that hardly anybody [in the cognitive sciences] ever considers giving up" (p. 264), most researchers now believe that "[a]ll the evidence suggests that the classical [(decompositional)] (...) view is wrong as a general theory of concepts" [Smith, Medin & Rips (1984) A psychological approach to concepts: comments on Rey, Cognition, 17, 272], and cite Fodor et al. (1980) as "sounding the death knell for decompositional theories" [MacNamara & Miller (1989) Attributes of theories of meaning, Psychological Bulletin, 106, 360]. I argue that the prevailing skepticism is unmotivated by the arguments in Fodor et al. Fodor et al. misrepresent the form, function and scope of the decompositional hypothesis, and the procedures they employ to test for the psychological reality of definitions are flawed. I argue, further, that decompositional explanations of the phenomena they consider are preferable to their primitivist alternatives, and, hence, that there is prima facie reason to accept them as evidence for the existence of decompositional structure. Cognitive scientists would, therefore, do well to revert to their former commitment to the decompositional hypothesis. (shrink)

It is common practice in formal semantics to assume that the context specifies an assignment of values to variables and that the same variables that receive contextually salient values when they occur free may also be bound by quantifiers and λs. These assumptions are at work to provide a unified account of free and bound uses of third person pronouns, namely one by which the same lexical item is involved in both uses. One way to pursue this account is (...) to treat quantifiers and λs as monsters in Kaplan’s sense. We argue that this move should be avoided and explore an alternative route based on the idea that there is a variable assignment coordinate in the context and a variable assignment coordinate in the circumstance of evaluation, with the definition of truth in context identifying them. One fundamental challenge that arises in pursuing a unified account is to explain the difference in the way the gender presuppositions of bound and free pronouns project. The proposal that emerges from the attempt to meet this challenge is a non-indexical account of free third person pronouns and a new conception of the role and structure of assignment functions. (shrink)

Philosophers and psychologists alike have argued recently that relatively abstract beliefs or cognitive categories like those regarding race can influence the perceptual experience of relatively low-level visual features like color or lightness. Some of the proposed best empirical evidence for this claim comes from a series of experiments in which White faces were consistently judged as lighter than equiluminant Black faces, even for racially ambiguous faces that were labeled ‘White’ as opposed to ‘Black’ (Levin and Banaji 2006). The latter result (...) is considered especially indicative of cognitive penetration, based on the reasoning that the relevant distortions were a function of lexical labeling, and hence the effect must have been mediated by categorization at the cognitive level. I argue that this reasoning is flawed, and that the assumptions on which it relies are questionable on both empirical and theoretical grounds. I propose an alternative, low-level explanation of the phenomena, which I argue is empirically more plausible and abductively preferable to the cognitive-penetration account. The upshot is that cognitively impenetrable perceptual systems may be psychologically more plastic and hence philosophically more significant than is nowadays commonly assumed. (shrink)

Perceptual processes differ from cognitive, this paper argues, in functioning to be causally controlled by proximal stimuli, and being modular, at least in a modest sense that excludes their being isotropic in Jerry Fodor's sense. This claim agrees with such theorists as Jacob Beck and Ben Phillips that a function of stimulus-control is needed for perceptual status. In support of this necessity claim, I argue, inter alia, that E.J. Green's recent architectural account misclassifies processes deploying knowledge of grammar as (...) perceptual. _Pace_ Beck and Phillips, however, I argue a function of stimulus-control is insufficient for perceptual as opposed to cognitive status. One consideration in favour of such insufficiency, noted but (I argue) not convincingly rebutted by these theorists, concerns perpetually grounded demonstrative thought. Two other considerations trade on the fact that a function of stimulus-control can arise not from blind nature but intentional design or social institutions, where so-functioning processes may but need not be perceptual. I offer two cases where such processes are cognitive, viz. skilful play-by-play announcing of ongoing events, and voluntary visualizing of ongoing events under the guidance of apt play-by-play announcements, dubbed announcement-driven visualizing (ADV). The cognitive status of these three diverse phenomena cannot be explained by an absence of a perception-like representational format or content (for ADV has such) or by a presence of personal-level mental states causally mediating between stimuli and outputs (for perception has such). A bettter explanation invokes, I argue, the non-modular character of the generating process. (shrink)

Collocations are recurrent combinations of words where one lexical item occurs near another lexical item with a frequency far greater than chance. Collocations can be used to study meaning. I argue that the collocational phrase ‘really know’, in conjunction with some reasonable interpretive conclusions, provides us with evidence that the verb ‘know’ has an infallibilist sense. I make my case, first, by arguing that ‘really’ when part of the phrase ‘really know’ is best understood as synonymous with ‘truly’. (...) I then argue that there are two plausible interpretations of the function that ‘really’ plays in the phrase ‘really know’. On the first interpretation, ‘really’ helps distinguish claims about genuine infallibilist knowing from loose talk about ‘knowing’. On the second interpretation, ‘really’ is often used to disambiguate an infallibilist sense of ‘know’ from a fallibilist sense of ‘know’. On either interpretation, there is an infallibilist sense of ‘know’. (shrink)

R.C. Pradhan claims in Language, Reality, and Transcendence that, in Ludwig Wittgenstein’s Tractatus Logico-Philosophicus and Philosophical Investigations, “[i]n no case is Wittgenstein interested in the empirical facts regarding language, as for him philosophy does not undertake any scientific study of language” (Pradhan 2009, xiv). I consider Ludwig Wittgenstein’s purportedly anti-scientific and anti-empirical approach to language in light of advances by philosophers and linguists in the latter half of the 20th century. I distinguish between various ways of understanding Wittgenstein’s stance against (...) scientism. Due to the success of more recent work on language, I argue that Wittgenstein’s critique, as interpreted by Pradhan in Language, Reality, and Transcendence, does not undermine the formal study of language. Nevertheless, I argue, the contention of Wittgenstein and Pradhan that language, through grammar (in Wittgenstein’s sense), serves a variety of functions still sheds light on the differences in meaning across different discourses. I argue that a synthesis of Wittgenstein’s pluralist theory of meaning with elements of a theoretical study of language offers the best comprehensive account of natural language. I will argue that this conception of language is consistent with elements of Pradhan’s interpretation. As Pradhan notes, “The aim here is not to project one kind of grammatical determination but keep options open for many such grammatical determinations such that the grammatical nuances are not papered over in the name of the unity of grammar” (Pradhan 2009, 28). (shrink)

This paper explores how Wundt’s and Bühler’s respective conceptions of gestural expression have implications for how each conceives of what, in broad terms, may be understood as a ‘grammar of gestures’: that is, the rules for the formation and performance of gestures with and without speech. Unlike previous scholarship that has looked at the relationship of Wundt and Bühler, the aim here will be to give particular attention to the relevance of their respective accounts for current philosophical and linguistic (...) research on gesture. Building off of Bühler, we can offer an alternative to the psychologistic and solipsistic model of gestural expression that can be found in Wundt and that seems to be resurgent today in work by McNeil and others. Via Bühler’s notions of diacrisis and of the underlying functions that guide human communication, we propose an understanding of the relationship between gestures and speech that aims to render accurately both the highly contextualised and the highly structured conditions of their mutual employment. (shrink)

This paper is an attempt at exploring the possibility of reconciling the two interpretations of biolinguistics which have been recently projected by Koster(Biolinguistics 3(1):61–92, 2009). The two interpretations—trivial and nontrivial—can be roughly construed as non-internalist and internalist conceptions of biolinguistics respectively. The internalist approach boils down to a conception of language where language as a mental grammar in the form of I-language grows and functions like a biological organ. On the other hand, under such a construal consistent with Koster’s (...) (Biolinguistics 3(1):61-92, 2009), the non-internalist version does not necessarily have to be externalist in nature; rather it is a matter of mutual reinforcement of biology and culture under the rubric of a co-evolutionary dynamics. Here it will be argued that the apparent dichotomy between these two conceptions of biolinguistics can perhaps be resolved if we have a richer synthesis that accounts for both internalism and non-internalism. (shrink)

One well known problem regarding quantifiers, in particular the 1storder quantifiers, is connected with their syntactic categories and denotations. The unsatisfactory efforts to establish the syntactic and ontological categories of quantifiers in formalized first-order languages can be solved by means of the so called principle of categorial compatibility formulated by Roman Suszko, referring to some innovative ideas of Gottlob Frege and visible in syntactic and semantic compatibility of language expressions. In the paper the principle is introduced for categorial languages generated (...) by the Ajdukiewicz’s classical categorial grammar. The 1st-order quantifiers are typically ambiguous. Every 1st-order quantifier of the type k > 0 is treated as a two-argument functorfunction defined on the variable standing at this quantifier and its scope (the sentential function with exactly k free variables, including the variable bound by this quantifier); a binary function defined on denotations of its two arguments is its denotation. Denotations of sentential functions, and hence also quantifiers, are defined separately in Fregean and in situational semantics. They belong to the ontological categories that correspond to the syntactic categories of these sentential functions and the considered quantifiers. The main result of the paper is a solution of the problem of categories of the 1st-order quantifiers based on the principle of categorial compatibility. (shrink)

In this essay I argue the extent to which meaning and judgment in aesthetics figures in Wittgenstein’s later conception of language, particularly in his conception of how philosophy might go about explaining the ordinary functioning of language. Following a review of some biographical and textual matters concerning Wittgenstein’s life with music, I outline the connection among (1) Wittgenstein’s discussions of philosophical clarity or perspicuity, (2) our attempts to give clarity to our aesthetic experiences by wording them, and (3) the clarifying (...) experience of the dawning of an aspect, which Wittgenstein pictures as the perception of an internal relation. By examining Wittgenstein’s use of “internal relation” from the Tractatus to his later writings, I come to challenge the still prevalent understanding of Wittgenstein’s appeals to grammar as an appeal to something given (e.g., to a set of grammatical rules). Instead, as I argue, Wittgensteinian appeals to grammatical criteria should be understood as modeled by the form of justification found in our conversations about art. (shrink)

This essay in the comparative metaphysic of nothingness begins by pondering why Leibniz thought of the converse question as the preeminent one. In Eastern philosophical thought, like the numeral 'zero' (śūnya) that Indian mathematicians first discovered, nothingness as non-being looms large and serves as the first quiver on the imponderables they seem to have encountered (e.g., 'In the beginning was neither non-being nor being: what was there, bottomless deep?' RgVeda X.129). The concept of non-being and its permutations of nothing, negation, (...) nullity, etc., receive more sophisticated treatment in the works of grammarians, ritual hermeneuticians, logicians, and their dialectical adversaries variously across Jaina and Buddhist schools. The present analysis follows the function of negation/the negative copula, nãn, and dialetheia in grammar and logic, then moves onto ontologies of non-existence and extinction and further suggestive tropes that tend to arrest rather than affirm the inexorable being-there of something. After a discussion of interests in being (existence), non-being and nothingness in contemporary metaphysics, the article examines Heidegger’s extensive treatment of nothingness in his 1929 inaugural Freiburg lecture, 'Was ist Metaphysik?', published later as 'What is Metaphysics?' The essay however distances itself from any pretensions toward a doctrine of Metaphysical Nihilism. (shrink)

One well known problem regarding quantifiers, in particular the 1st order quantifiers, is connected with their syntactic categories and denotations.The unsatisfactory efforts to establish the syntactic and ontological categories of quantifiers in formalized first-order languages can be solved by means of the so called principle of categorial compatibility formulated by Roman Suszko, referring to some innovative ideas of Gottlob Frege and visible in syntactic and semantic compatibility of language expressions. In the paper the principle is introduced for categorial languages generated (...) by the Ajdukiewicz’s classical categorial grammar. The 1st-order quantifiers are typically ambiguous. Every 1st-order quantifier of the type k > 0 is treated as a two-argument functor-function defined on the variable standing at this quantifier and its scope (the sentential function with exactly k free variables, including the variable bound by this quantifier); a binary function defined on denotations of its two arguments is its denotation. Denotations of sentential functions, and hence also quantifiers, are defined separately in Fregean and in situational semantics. They belong to the ontological categories that correspond to the syntactic categories of these sentential functions and the considered quantifiers. The main result of the paper is a solution of the problem of categories of the 1st-order quantifiers based on the principle of categorial compatibility. (shrink)

Post-Fregean theorists use 'quotation' to denote indifferently both colloquially called quotations (repetitions of prior utterances) and what I call 'displays': 'Rot' means red. Colloquially, quotation is a strictly historical property, not semantic or syntactic. Displays are semantically and syntactically distinctive sentential elements. Most displays are not quotations. Pure echo quotations (Cosmological arguments involve "an unnecessary shuffle") aren't displays. Frege-inspired formal languages stipulate that enquotation forms a singular term referring to the enquoted expression (type). Formalist enquotations differ semantically and syntactically from (...) natural language displays. Call them autonomes, and mark them with stars: *Rot* means red. In formal languages, an unenstarred expression has only one meaning, and an autonome has only one meaning viz., a name (or indexical) designating the unenstarred expression (type). Stars have semantic content and can’t disambiguate. Display punctuation only disambiguates; it says only: This material is displayed. Displays have a semantic function; their marks don't.nDisplays are not terms or lexical items. Displays are objects incorporable into utterances. Such incorporation enables them to be linguistically appropriated much as we appropriate speech-external objects by extrasentential supplementation (e.g., gesturing) to identify the extension of a term by ostending the object -- but now without any extrasentential supplement. Displays are always adjunctive to an (implicit or explicit) ostensionable term, a term whose extension is identifiable by ostending an object. The display-ostensionable term extension relations are various. A display may (1) be the term's referent, or (2) represent the term's extension by (a) replicating or (b) instantiating or (c) expressing the term's referent, or (e) instantiating the property the term predicates. (shrink)