Computational models have shown that purely statistical knowledge about words’ linguistic contexts is sufficient to learn many properties of words, including syntactic and semantic category. For example, models can infer that “postman” and “mailman” are semantically similar because they have quantitatively similar patterns of association with other words. In contrast to these computational results, artificial language learning experiments suggest that distributional statistics alone do not facilitate learning of linguistic categories. However, experiments in this paradigm expose participants to entirely novel (...) words, whereas real language learners encounter input that contains some known words that are semantically organized. In three experiments, we show that the presence of familiar semantic reference points facilitates distributional learning and this effect crucially depends both on the presence of known words and the adherence of these known words to some semantic organization. (shrink)

In intuitions concerning semantic coherence participants are able to discriminate above chance whether a word triad has a common remote associate or not . These intuitions are driven by increased fluency in processing coherent triads compared to incoherent triads, which in turn triggers a brief and short positive affect. The present work investigates which of these internal cues, fluency or positive affect, is the actual cue underlying coherence intuitions. In Experiment 1, participants liked coherent word triads more (...) than incoherent triads, but did not rate them as being more fluent in processing. In Experiment 2, participants could intuitively detect coherence when they misattributed fluency to an external source, but lost this intuitive ability when they misattributed affect. It is concluded that the coherence-induced fluency by itself is not consciously experienced and not used in the coherence intuitions, but the fluency-triggered affective consequences. (shrink)

Recent literature reported that judgments of semantic coherence are influenced by a positive affective response due to increased fluency of processing. The presented paper investigates whether fluency of processing can be modified by affective responses to the coherent stimuli as well as an automaticity of processes involved in semantic coherence judgments. The studies employed the dyads of triads task in which participants are shown two word triads and asked to solve a semantically coherent one or indicate (...) which of the two is semantically coherent. Across two studies in a dualtask paradigm we show that a) attentional resources moderate insight into semantically coherent word triads, whereas b) judgments of semantic coherence judgments are independent of attentional resources. We discuss implications of our findings for how people might form intuitive judgments of semantic coherence. (shrink)

Werkmeister's new book, The Basis and Structure of Knowledge is the second major attempt in recent years to defend the idealistic theory of knowledge. The first was Blanshard's Nature of Thought; and it is worth noticing that both authors, in undertaking the defense of a position long in the shadows, are well aware of contemporary developments in logic and technical philosophy. Werkmeister freely acknowledges his debt to Blanshard; yet his work differs in scope from the latter's in at least two (...) ways. Firstly, the more recent book is concerned largely with the epistemological analysis of meaning and truth and hardly at all with what an older generation called "philosophical psychology," while philosophical psychology fills all of the first and part of the second volume of Blanshard's work. In my opinion, this is all to the good. (That our generation inverts the error and too often indulges in psychological philosophy is another story!) Secondly, Werkmeister presents us with detailed analyses of scientific method, of the structure of scientific theories, and of mathematics, all three areas to which Blanshard pays virtually no attention. The First Part of Werkmeister's book treats of Language and Meaning; the Second of Truth and the World About Us, the Third of Formal Knowledge, and the Fourth Part deals with Empirical Knowledge. But there is a fundamental thesis that runs through all of this. The analysis of each of these four domains reveals, according to Werkmeister, that only a coherence theory of meaning and truth can adequately reflect the criteria actually used by science and commonsense. It is not my intention to rehearse here the familiar dialectic of the arguments for and against this doctrine; the less so, since Werkmeister himself gives a useful review of both sides of the controversy. Rather, I want to try to fix as precisely as possible, within the context of Werkmeister's discussion, the nature of the difference between coherence theories on the one hand and correspondence theories on the other. This difference has not always been too clearly stated; it even seems that recent developments in linguistic analysis have been the occasion for some new confusions on this very point. For coherence theorists who have recognized that philosophical semantics is a "formal" discipline now insist that "to say what a symbol means is not to relate it to an object, but to give it an interpretation in terms of other symbols," as Ayer2 has recently put it. This seems to contradict the "comparison with fact" feature of the traditional realistic formulations of the correspondence view. A superficial bystander could even believe that the correspondence theorists have given up their original position, since both sides now agree that truth is a matter of a relation between symbols. Such agreement, as I hope to show, is more apparent than real, for what is now at stake is the nature of that "intrasymbolic relation." And on this nature the two parties disagree. There is little doubt that Werkmeister's book appears at a moment more propitious for the advocacy of the coherence theory of truth than did Blanshard's. In the near decade that separates the two works the intellectual climate has become, for better or for worse, considerably more favorable to a reconsideration of, and possibly even a reconciliation with, some of the major tenets of rationalism. This is reflected in the current discussion regarding the contrary-to-fact conditional, the dissatisfaction with material implication, and the correlative concern for a more adequate analysis of the concept of a natural law. It is evident too in the revived enthusiasm for intensional logic and in the related interest in the modalities. As uncompromising an empiricist as C. L. Lewis, with whom, by the way, Werkmeister shares a common Kantian background, has introduced into his latest work a "congruence" theory of truth which, despite the substitution of a so-called "probability" inference for necessary inference, looks very much like the coherance criterion all over again. So Werkmeister's book should be welcome for its clear presentation of the relevant issues; and even those who disagree with him can admire the candor and forthrightness with which he champions what remains, despite vacillations, an essentially unpopular position. (shrink)

The category of coherent phase spaces introduced by the author is a refinement of the symplectic “category” of A. Weinstein. This category is *-autonomous and thus provides a denotational model for Multiplicative Linear Logic. Coherent phase spaces are symplectic manifolds equipped with a certain extra structure of “coherence”. They may be thought of as “infinitesimal” analogues of familiar coherent spaces of Linear Logic. The role of cliques is played by Lagrangian submanifolds of ambient spaces. Physically, a symplectic manifold is (...) the phase space of a classical dynamical system, and a Lagrangian submanifold is a phase of a short-wave oscillation. Typically, Lagrangian submanifolds represent such objects as short-wave approximations of wave functions in asymptotic quantization and wave fronts in geometrical optics. The coherent phase space semantics was motivated to a large extent by methods of geometric and asymptotic quantization and suggests some interesting intuitions on Linear Logic. In particular Lagrangian submanifold-cliques of types A and A can be interpreted as semiclassical limits of eigenstates of respectively position and momentum observables. These observables being canonically conjugate cannot be measured simultaneously, which corresponds to the idea that a formula A and its negation A cannot both simultaneously have proofs . We show that the coherent phase space semantics of Linear Logic enjoys several completeness properties in general much stronger than the usual full completeness with respect to the class of dinatural transformations. These properties of completeness in conjunction with a quite natural -physical meaning make the coherent phase space semantics an interesting object of investigation. (shrink)

An (n, k)-ary quantifier is a generalized logical connective, binding k variables and connecting n formulas. Canonical systems with (n, k)-ary quantifiers form a natural class of Gentzen-type systems which in addition to the standard axioms and structural rules have only logical rules in which exactly one occurrence of a quantifier is introduced. The semantics for these systems is provided using two-valued non-deterministic matrices, a generalization of the classical matrix. In this paper we use a constructive syntactic criterion of (...) class='Hi'>coherence to characterize strong cutelimination in such systems. We show that the following properties of a canonical system G with arbitrary (n, k)-ary quantifiers are equivalent: (i) G is coherent, (ii) G admits strong cut-elimination, and (iii) G has a strongly characteristic two-valued generalized non-deterministic matrix. In addition, we define simple calculi, an important subclass of canonical calculi, for which coherence is equivalent to the weaker, standard cut-elimination property. (shrink)

This commentary describes some extensions of the Phillips & Singer model of contextual interactions to cater for the contrast- and extent-dependency of surround facilitation and suppression. I also comment briefly on some semantic problems with what exactly the role of synchronization might be: input preprocessing or output postprocessing?

ABSTRACT The major approaches to belief revision and non monotonic reasoning proposed in the literature differ along a number of dimensions, including whether they are “syntax- based” or “semantic-based”, “foundational” or “coherentist”, “consistence-restoring” or “inconsistency-tolerant”. Our contribution towards clarifying the connections between these various approaches is threefold: •We show that the two main approaches to belief revision, the foundations and coherence theories, are mathematically equivalent, thus answering a question left open in [Gar90, Doy92], The distinction between syntax-based approaches (...) to revision and approaches based on (semantic) preferential structures falls along similar lines, and their expressive equivalence is a consequence of this result. •We formally clarify the connection between belief revision and non monotonic reasoning, in a particularly simple way which also throws light on the connection between consistence- restoring and reasoning-from-inconsistency approaches [BDP95]. •As a direct application of the above, we show that Poole's (syntax-based) system of default reasoning and Shoham's preferential semantic for non monotonic reasoning are also expressively equivalent, in that they can represent the same set of non monotonic consequence relations. (shrink)

ABSTRACT The major approaches to belief revision and non monotonic reasoning proposed in the literature differ along a number of dimensions, including whether they are ?syntax- based? or ?semantic-based?, ?foundational? or ?coherentist?, ?consistence-restoring? or ?inconsistency-tolerant?. Our contribution towards clarifying the connections between these various approaches is threefold: ?We show that the two main approaches to belief revision, the foundations and coherence theories, are mathematically equivalent, thus answering a question left open in [Gar90, Doy92], The distinction between syntax-based approaches (...) to revision and approaches based on (semantic) preferential structures falls along similar lines, and their expressive equivalence is a consequence of this result. ?We formally clarify the connection between belief revision and non monotonic reasoning, in a particularly simple way which also throws light on the connection between consistence- restoring and reasoning-from-inconsistency approaches [BDP95]. ?As a direct application of the above, we show that Poole's (syntax-based) system of default reasoning and Shoham's preferential semantic for non monotonic reasoning are also expressively equivalent, in that they can represent the same set of non monotonic consequence relations. (shrink)

Hobbs (2010) introduced ‘clause-internal coherence’ (CIC) to describe inferences in, e.g., ‘A jogger was hit by a car,’ where the jogging is understood to have led to the car-hitting. Cohen & Kehler (2021) argue that well-known pragmatic tools cannot account for CIC, motivating an enrichment account familiar from discourse coherence research. An outstanding question is how to compositionally derive CIC from coherence relations. This paper takes strides in answering this question. It first provides experimental support for the (...) existence of CIC via offline evidence that attributive (non-)deverbal adjectives can trigger the same causal inferences within clauses that their predicative counterparts can trigger across clauses, albeit more weakly. To explain the experimental results, we use tools in Segmented Discourse Representation Theory (SDRT), which allows us to show that causal inferences can be derived in various ways, depending on whether deverbal adjectives are used attributively or predicatively. If the former, they are presupposition triggers and the coherence relations Elaboration/Continuation compete with Background; if the latter, Explanation/Result compete with Background. These different competitions -- cashed out in terms of interaction between default axioms -- correlate with the difference in the relative salience of the causal inferences. (shrink)

An (n, k)-ary quantifier is a generalized logical connective, binding k variables and connecting n formulas. Canonical systems with (n, k)-ary quantifiers form a natural class of Gentzen-type systems which in addition to the standard axioms and structural rules have only logical rules in which exactly one occurrence of a quantifier is introduced. The semantics for these systems is provided using two-valued non-deterministic matrices, a generalization of the classical matrix. In this paper we use a constructive syntactic criterion of (...) class='Hi'>coherence to characterize strong cutelimination in such systems. We show that the following properties of a canonical system G with arbitrary (n, k)-ary quantifiers are equivalent: (i) G is coherent, (ii) G admits strong cut-elimination, and (iii) G has a strongly characteristic two-valued generalized non-deterministic matrix. (shrink)

Nonmonotonic reasoning is often claimed to mimic human common sense reasoning. Only a few studies, though, have investigated this claim empirically. We report four experiments which investigate three rules of SYSTEMP, namely the AND, the LEFT LOGICAL EQUIVALENCE, and the OR rule. The actual inferences of the subjects are compared with the coherent normative upper and lower probability bounds derived from a non-infinitesimal probability semantics of SYSTEM P. We found a relatively good agreement of human reasoning and principles of nonmonotonic (...) reasoning. Contrary to the results reported in the ‘heuristics and biases’ tradition, the subjects committed relatively few upper bound violations (conjunction fallacies). (shrink)

The integration of standardized biomedical terminologies into a single, unified knowledge representation system has formed a key area of applied informatics research in recent years. The Unified Medical Language System (UMLS) is the most advanced and most prominent effort in this direction, bringing together within its Metathesaurus a large number of distinct source-terminologies. The UMLS Semantic Network, which is designed to support the integration of these source-terminologies, has proved to be a highly successful combination of formal coherence and (...) broad scope. We argue here, however, that its organization manifests certain structural problems, and we describe revisions which we believe are needed if the network is to be maximally successful in realizing its goals of supporting terminology integration. (shrink)

For more than three decades, research into the psycholinguistics of pronoun interpretation has argued that hearers use various interpretation ‘preferences’ or ‘strategies’ that are associated with specific linguistic properties of antecedent expressions. This focus is a departure from the type of approach outlined in Hobbs , who argues that the mechanisms supporting pronoun interpretation are driven predominantly by semantics, world knowledge and inference, with particular attention to how these are used to establish the coherence of a discourse. On the (...) basis of three new experimental studies, we evaluate a coherence-driven analysis with respect to four previously proposed interpretation biases—based on grammatical role parallelism, thematic roles, implicit causality, and subjecthood—and argue that the coherence-driven analysis can explain the underlying source of the biases and predict in what contexts evidence for each will surface. The results further suggest that pronoun interpretation is incrementally influenced by probabilistic expectations that hearers have regarding what coherence relations are likely to ensue, together with their expectations about what entities will be mentioned next, which, crucially, are conditioned on those coherence relations. (shrink)

A coherence-based probability semantics for categorical syllogisms of Figure I, which have transitive structures, has been proposed recently (Gilio, Pfeifer, & Sanfilippo [15]). We extend this work by studying Figure II under coherence. Camestres is an example of a Figure II syllogism: from Every P is M and No S is M infer No S is P. We interpret these sentences by suitable conditional probability assessments. Since the probabilistic inference of ~????|???? from the premise set {????|????, ~????|????} is (...) not informative, we add ????(????|(????∨????))>0 as a probabilistic constraint (i.e., an “existential import assumption”) to obtain probabilistic informativeness. We show how to propagate the assigned (precise or interval-valued) probabilities to the sequence of conditional events (????|????,~????|????,????|(????∨????)) to the conclusion ~????|???? . Thereby, we give a probabilistic meaning to the other syllogisms of Figure II. Moreover, our semantics also allows for generalizing the traditional syllogisms to new ones involving generalized quantifiers (like Most S are P) and syllogisms in terms of defaults and negated defaults. (shrink)

This present book explores recent advances in modeling discourse processes, in particular, new approaches aimed at understanding pathological language behavior specific to schizophrenia. The contributors examine the modeling paradigm of formal semantics, which falls within the scope of both linguistics and logic while providing overlapping links with other fields such as philosophy of language and cognitive psychology. This book is based on results presented during the series of workshops on Coherence and Discourse organized by SLAM, a project developed to (...) systemize the study of pathological language processing by taking an overarching interdisciplinary approach combining psychology, linguistics, computer science and philosophy. The principle focus is on conversations produced by people with psychiatric disorders such as schizophrenia and autism. The contributions come from young and experienced researchers, and invited speakers. The book appeals to likeminded students and researchers. (shrink)

A major goal of this work is to specify some steps of the process by which participants maintain coherency in their conversations.The underlying element of the analysis is a construct called a “context space.” Roughly, a group of utterances that refers to a single issue or episode forms the basis for a context space. Superficially, a conversation is a sequence of utterances; at a deeper level it is a structured entity whose utterances can be parsed into hierarchically related context spaces.As (...) a conversation proceeds, each conversant builds a discourse model that includes the conversation's context space structure, a notion of the present discourse topic, and a list of items being focused upon. Conversational coherency depends upon a lack of conflict between the respective models of the participants. Conflicts are prevented by speakers following high level syntactic and semantic relational rules that enable listeners to identify their discourse models. These rules, given in the study, are highly integrated with the view of conversation presented here—a hierarchy of related context spaces. (shrink)

This paper examines the interplay of semantics and pragmatics within the domain of film. Films are made up of individual shots strung together in sequences over time. Though each shot is disconnected from the next, combinations of shots still convey coherent stories that take place in continuous space and time. How is this possible? The semantic view of film holds that film coherence is achieved in part through a kind of film language, a set of conventions which govern (...) the relationships between shots. In this paper, we develop and defend a new version of the semantic view. We articulate it for a pair of conventions that govern spatial relations between viewpoints. One such rule is already well-known; sometimes called the "180° Rule," we term it the X-Constraint; to this we add a previously unrecorded rule, the T-Constraint. As we show, both have the effect, in different ways, of limiting the way that viewpoint can shift through space from shot to shot over the course of a film sequence. Such constraints, we contend, are analogous to relations of discourse coherence that are widely recognized in the linguistic domain. If film is to have a language, it is a language made up of rules like these. (shrink)

We present a coherence-based probability semantics for (categorical) Aristotelian syllogisms. For framing the Aristotelian syllogisms as probabilistic inferences, we interpret basic syllogistic sentence types A, E, I, O by suitable precise and imprecise conditional probability assessments. Then, we define validity of probabilistic inferences and probabilistic notions of the existential import which is required, for the validity of the syllogisms. Based on a generalization of de Finetti's fundamental theorem to conditional probability, we investigate the coherent probability propagation rules of argument (...) forms of the syllogistic Figures I, II, and III, respectively. These results allow to show, for all three Figures, that each traditionally valid syllogism is also valid in our coherence-based probability semantics. Moreover, we interpret the basic syllogistic sentence types by suitable defaults and negated defaults. Thereby, we build a knowledge bridge from our probability semantics of Aristotelian syllogisms to nonmonotonic reasoning. Finally, we show how the proposed semantics can be used to analyze syllogisms involving generalized quantifiers. (shrink)

Expressivism - the sophisticated contemporary incarnation of the noncognitivist research program of Ayer, Stevenson, and Hare - is no longer the province of metaethicists alone. Its comprehensive view about the nature of both normative language and normative thought has also recently been applied to many topics elsewhere in philosophy - including logic, probability, mental and linguistic content, knowledge, epistemic modals, belief, the a priori, and even quantifiers. Yet the semantic commitments of expressivism are still poorly understood and have not (...) been very far developed. As argued within, expressivists have not yet even managed to solve the "negation problem" - to explain why atomic normative sentences are inconsistent with their negations. As a result, it is far from clear that expressivism even could be true, let alone whether it is. Being For seeks to evaluate the semantic commitments of expressivism, by showing how an expressivist semantics would work, what it can do, and what kind of assumptions would be required, in order for it to do it. Building on a highly general understanding of the basic ideas of expressivism, it argues that expressivists can solve the negation problem - but only in one kind of way. It shows how this insight paves the way for an explanatorily powerful, constructive expressivist semantics, which solves many of what have been taken to be the deepest problems for expressivism. But it also argues that no account with these advantages can be generalized to deal with constructions like tense, modals, or binary quantifiers. Expressivism, the book argues, is coherent and interesting, but false. (shrink)

In this paper we propose a formal theory of metaphors called Constrained Semantic Transference [CST]. We start from the assumptions that metaphors are characterized by the description of one domain, called the target domain, in terms of another domain, called the source domain; and that a metaphor works by transferring a set of structural relationships from the source domain to the target domain coherently.Starting from these assumptions, we formally define the concept of T-MAPs which are partial coherent mappings from (...) the source domain to the target domain. We also define two operators, called Augmentation and Positing Structure that extend a given T-MAP by adding new structure to the target domain. (shrink)

Various semantics for studying the square of opposition have been proposed recently. So far, only [14] studied a probabilistic version of the square where the sentences were interpreted by (negated) defaults. We extend this work by interpreting sentences by imprecise (set-valued) probability assessments on a sequence of conditional events. We introduce the acceptability of a sentence within coherence-based probability theory. We analyze the relations of the square in terms of acceptability and show how to construct probabilistic versions of the (...) square of opposition by forming suitable tripartitions. Finally, as an application, we present a new square involving generalized quantifiers. (shrink)

This paper investigates whether an abstract linguistic construction shows the kind of prototype effects characteristic of non-linguistic categories, in both adults and young children. Adapting the prototype-plus-distortion methodology of Franks and Bransford (1971), we found that whereas adults were lured toward false-positive recognition of sentences with prototypical transitive semantics, young children showed no such effect. We examined two main implications of the results. First, it adds a novel data point to a growing body of research in cognitive linguistics and construction (...) grammar that shows abstract linguistic categories can behave in similar ways to non-linguistic categories, for example, by showing graded membership of a category. Thus, the findings lend psychological validity to the existing cross-linguistic evidence for prototypical transitive semantics. Second, we discuss a possible explanation for the fact that prototypical sentences were processed differently in adults and children, namely, that children’s transitive semantic network is not as interconnected or cognitively coherent as adults’. (shrink)

This paper presents a novel proof-theoretic account of dialogue coherence. It focuses on an abstract class of cooperative information-oriented dialogues and describes how their structure can be accounted for in terms of a multi-agent hybrid inference system that combines natural deduction with information transfer and observation. We show how certain dialogue structures arise out of the interplay between the inferential roles of logical connectives (i.e., sentence semantics), a rule for transferring information between agents, and a rule for information flow (...) between agents and their environment. The order of explanation is opposite in direction to that adopted in game-theoretic semantics, where sentence semantics (or a notion of valid inference) is derived from winning dialogue strategies. That approach and the current one may, however, be reconcilable, since we focus on cooperative dialogue, whereas the game-theoretic tradition concentrates on adversarial dialogue. (shrink)

This article argues, first, that the fundamental structure of the skeptical argument in Kripke's book on Wittgenstein has been seriously misunderstood by recent commentators. Although it focuses particularly on recent commentary by John McDowell, it emphasizes that the basic misunderstandings are widely shared by other commentators. In particular, it argues that, properly construed, Kripke offers a fully coherent reading of PI #201 and related passages. This is commonly denied, and given as a reason for rejecting Kripke's reading of Wittgenstein's text. (...) Second, it is pretty universally accepted that Kripke's Wittgenstein is a `non-factualist' about ascriptions of meaning. The article argues that, when Kripke's discussion is rightly understood and the content of `non-factualism' is clarified, there is an important sense in which the skeptical solution is not committed to non-factualism. (shrink)

Read this book to get a deeper understanding of a wide range of semantics research on complex sentences and meaning in discourse. These in-depth articles from leading names in their fields cover the core concepts of sentential semantics such as tense, modality, conditionality, propositional attitudes, scope, negation, and coordination. The highly cited material, covers questions, imperatives, copular clauses, and existential sentences. It also includes essential research on sentence types, and explains central concepts in the theory of information structure and discourse (...) structure, such as topics, cohesion and coherence, accessibility and discourse particles. (shrink)

This précis outlines some of the key themes in Context and Coherence. At the core of Context and Coherence is the meta-semantic question: what determines the meaning of context-sensitive language and how do we interpret it as effortlessly as we do? What we can express with language is obviously constrained by grammar, but it also seems to depend on various non-linguistic features of an utterance situation, for example, pointing gestures. Accordingly, it is nearly universally assumed that grammar (...) underspecifi es content: the interpretation of context-sensitive language depends in part on extra-linguistic features of the utterance situation. Contra this dominant tradition, the book develops and defends a thoroughly linguistic account: context-sensitivity resolution is entirely a matter of grammar, which is much more subtle and pervasive than has typically been noticed. In interpreting context-sensitive language as effortlessly as we do, we draw on our knowledge of these subtle, but pervasive, linguistic cues—what I call discourse conventions. If this is right, the dominant, extra-linguistic account must be rejected. It not only mischaracterizes the linguistic conventions affecting context-sensitivity resolution, but its widespread, and often implicit, endorsement leads to philosophically radical conclusions. The recent arguments for non-truth-conditional and non-classical semantics for modal discourse provide just one illustration of this point. But appeals to context are quite common within a wide range of debates across different subfi elds of philosophy, and they typically assume the extra-linguistic model of context-sensitivity resolution. If the account of context-sensitivity developed in Context and Coherence is on the right track, such arguments have to be reconsidered. (shrink)

This book attempts to marry truth-conditional semantics with cognitive linguistics in the church of computational neuroscience. To this end, it examines the truth-conditional meanings of coordinators, quantifiers, and collective predicates as neurophysiological phenomena that are amenable to a neurocomputational analysis. Drawing inspiration from work on visual processing, and especially the simple/complex cell distinction in early vision (V1), we claim that a similar two-layer architecture is sufficient to learn the truth-conditional meanings of the logical coordinators and logical quantifiers. As a prerequisite, (...) much discussion is given over to what a neurologically plausible representation of the meanings of these items would look like. We eventually settle on a representation in terms of correlation, so that, for instance, the semantic input to the universal operators (e.g. and, all)is represented as maximally correlated, while the semantic input to the universal negative operators (e.g. nor, no)is represented as maximally anticorrelated. On the basis this representation, the hypothesis can be offered that the function of the logical operators is to extract an invariant feature from natural situations, that of degree of correlation between parts of the situation. This result sets up an elegant formal analogy to recent models of visual processing, which argue that the function of early vision is to reduce the redundancy inherent in natural images. Computational simulations are designed in which the logical operators are learned by associating their phonological form with some degree of correlation in the inputs, so that the overall function of the system is as a simple kind of pattern recognition. Several learning rules are assayed, especially those of the Hebbian sort, which are the ones with the most neurological support. Learning vector quantization (LVQ) is shown to be a perspicuous and efficient means of learning the patterns that are of interest. We draw a formal parallelism between the initial, competitive layer of LVQ and the simple cell layer in V1, and between the final, linear layer of LVQ and the complex cell layer in V1, in that the initial layers are both selective, while the final layers both generalize. It is also shown how the representations argued for can be used to draw the traditionally-recognized inferences arising from coordination and quantification, and why the inference of subalternacy breaks down for collective predicates. Finally, the analogies between early vision and the logical operators allow us to advance the claim of cognitive linguistics that language is not processed by proprietary algorithms, but rather by algorithms that are general to the entire brain. Thus in the debate between objectivist and experiential metaphysics, this book falls squarely into the camp of the latter. Yet it does so by means of a rigorous formal, mathematical, and neurological exposition – in contradiction of the experiential claim that formal analysis has no place in the understanding of cognition. To make our own counter-claim as explicit as possible, we present a sketch of the LVQ structure in terms of mereotopology, in which the initial layer of the network performs topological operations, while the final layer performs mereological operations. The book is meant to be self-contained, in the sense that it does not assume any prior knowledge of any of the many areas that are touched upon. It therefore contains mini-summaries of biological visual processing, especially the retinocortical and ventral /what?/ parvocellular pathways computational models of neural signaling, and in particular the reduction of the Hodgkin-Huxley equations to the connectionist and integrate-and-fire neurons Hebbian learning rules and the elaboration of learning vector quantization the linguistic pathway in the left hemisphere memory and the hippocampus truth-conditional vs. image-schematic semantics objectivist vs. experiential metaphysics and mereotopology. All of the simulations are implemented in MATLAB, and the code is available from the book’s website. • The discovery of several algorithmic similarities between visison and semantics. • The support of all of this by means of simulations, and the packaging of all of this in a coherent theoretical framework. (shrink)

This paper presents a framework for the generation of coherent elementary conversational sequences at the speech act level. We will embrace the notion of a cooperative dialogue game in which two players produce speech acts to transfer relevant information with respect to their commitments. Central to the approach is that participants try to achieve some sort of balanced cognitive state as a result of speech act generation and interpretation. Cognitive states of the participants change as a result of the interpretation (...) of speech acts and these changes provoke the production of a subsequent speech act. Describing the properties and the dynamics of the mental constructs that constitute the participants’ cognitive states, such as beliefs and commitments, in relation to the various dialogue contributions is an essential aspect of the game. Although simple in its basic form, the framework enables us to produce abstract conversations with some properties that agree strikingly with coherence structures found in, for instance, Conversation Analysis. (shrink)

The present study claims that the use of spontaneous gestures can contribute to accomplishing coherence in sequential conversational exchanges. Three types of speech-accompanying gestures were analyzed in Chinese conversation. Based on the syntactic-semantic relation with the co-occurring utterance, the first type is associated with words that do not convey explicit meaning; the second type is associated with covert constituents; the third type does not have any linguistic affiliates. They suggest different ways in which gesture adds information to the (...) propositional content of the associated utterance or to the content of the speech event under discussion. They also play a role in achieving conversational coherence: on the part of the speaker, it is only by using the various types of gesture that a current speaker can make the message to be conveyed in the utterance complete. On the part of the next speaker, the recognition and negotiation with the former speaker of the gestured information is a way to acknowledge or confirm mutual knowledge. The collaborative efforts contribute to the coherence of the talk in the subsequent interaction. (shrink)

Abstract: Chomsky (1986) has claimed that the prima facie incompatibility between descriptive linguistics and semantic externalism proves that an externalist semantics is impossible. Although it is true that a strong form of externalism does not cohere with descriptive linguistics, sociolinguistic theory can unify the two approaches. The resulting two-level theory reconciles descriptivism, mentalism, and externalism by construing community languages as a function of social identification. This approach allows a fresh look at names and definite descriptions while also responding to (...) Chomsky's (1993, 1995) challenge to articulate an externalist theory of meaning that can be used in the scientific investigation of language. (shrink)

From the point of view of non-classical logics, Heyting's implication is the smallest implication for which the deduction theorem holds. This book studies properties of logical systems having some of the classical connectives and implication in the neighbourhood of Heyt ing's implication. I have not included anything on entailment, al though it belongs to this neighbourhood, mainly because of the appearance of the Anderson-Belnap book on entailment. In the later chapters of this book, I have included material that might be (...) of interest to the intuitionist mathematician. Originally, I intended to include more material in that spirit but I decided against it. There is no coherent body of material to include that builds naturally on the present book. There are some serious results on topological models, second order Beth and Kripke models, theories of types, etc., but it would require further research to be able to present a general theory, possibly using sheaves. That would have postponed pUblication for too long. I would like to dedicate this book to my colleagues, Professors G. Kreisel, M.O. Rabin and D. Scott. I have benefited greatly from Professor Kreisel's criticism and suggestions. Professor Rabin's fun damental results on decidability and undecidability provided the powerful tools used in obtaining the majority of the results reported in this book. Professor Scott's approach to non-classical logics and especially his analysis of the Scott consequence relation makes it possible to present Heyting's logic as a beautiful, integral part of non-classical logics. (shrink)

We study probabilistic logic under the viewpoint of the coherence principle of de Finetti. In detail, we explore how probabilistic reasoning under coherence is related to model- theoretic probabilistic reasoning and to default reasoning in System . In particular, we show that the notions of g-coherence and of g-coherent entailment can be expressed by combining notions in model-theoretic probabilistic logic with concepts from default reasoning. Moreover, we show that probabilistic reasoning under coherence is a generalization of (...) default reasoning in System . That is, we provide a new probabilistic semantics for System , which neither uses infinitesimal probabilities nor atomic bound (or big-stepped) probabilities. These results also provide new algorithms for probabilistic reasoning under coherence and for default reasoning in System , and they give new insight into default reasoning with conditional objects. (shrink)

Hillary Putnam has famously argued that we can know that we are not brains in a vat because the hypothesis that we are is self-refuting. While Putnam's argument has generated interest primarily as a novel response to skepticism, his original use of the brain in a vat scenario was meant to illustrate a point about the "mind/world relationship." In particular, he intended it to be part of an argument against the coherence of metaphysical realism, and thus to be part (...) of a defense of his conception of truth as idealized rational acceptability. Putnam's conclusions about the scenario are, however, actually out of line with central and plausible aspects of his own account of the relationship between our minds and the world. Reflections on semantics give us no compelling reason to suppose that claims like "I am a brain in a vat" could not turn out to be true. (shrink)

Various semantics for studying the square of opposition and the hexagon of opposition have been proposed recently. We interpret sentences by imprecise (set-valued) probability assessments on a finite sequence of conditional events. We introduce the acceptability of a sentence within coherence-based probability theory. We analyze the relations of the square and of the hexagon in terms of acceptability. Then, we show how to construct probabilistic versions of the square and of the hexagon of opposition by forming suitable tripartitions of (...) the set of all coherent assessments. Finally, as an application, we present new versions of the square and of the hexagon involving generalized quantifiers. (shrink)

This paper presents a novel proof-theoretic account of dialogue coherence. It focuses on an abstract class of cooperative information-oriented dialogues and describes how their structure can be accounted for in terms of a multi-agent hybrid inference system that combines natural deduction with information transfer and observation. We show how certain dialogue structures arise out of the interplay between the inferential roles of logical connectives (i.e., sentence semantics), a rule for transferring information between agents, and a rule for information flow (...) between agents and their environment. The order of explanation is opposite in direction to that adopted in game-theoretic semantics, where sentence semantics (or a notion of valid inference) is derived from winning dialogue strategies. That approach and the current one may, however, be reconcilable, since we focus on cooperative dialogue, whereas the game-theoretic tradition concentrates on adversarial dialogue. (shrink)

Abstract The purpose of this paper is twofold: (i) we will argue that formal semantics might have faltered due to its failure in distinguishing between two fundamentally very different types of concepts, namely ontological concepts, that should be types in a strongly-typed ontology, and logical concepts, that are predicates corresponding to properties of, and relations between, objects of various ontological types; and (ii) we show that accounting for these differences amounts to a new formal semantics; one that integrates lexical and (...) compositional semantics in one coherent framework and one where formal semantics is embedded with a strongly typed ontology; an ontology that reflects our commonsense knowledge of the world and the way we talk about it in ordinary language. We will show how in such a framework a number of challenges in the semantics of natural language are adequately and systematically treated. (shrink)

It is a little understood fact that the system of formal logic presented in Wittgenstein?s Tractatusprovides the basis for an alternative general semantics for a predicate calculus that is consistent and coherent, essentially independent of the metaphysics of logical atomism, and philosophically illuminating in its own right. The purpose of this paper is threefold: to describe the general characteristics of a Tractarian-style semantics, to defend the Tractatus system against the charge of expressive incompleteness as levelled by Robert Fogelin, and to (...) give a semantics for a formal language that is the Tractarian equivalent of a first-order predicate calculus. Of note in regard to the latter is the fact that a Tractatusstyle truth-definition makes no appeal to the technical trick of defining truth in terms of the satisfaction of predicates by infinite sequences of objects, yet is materially equivalent to the usual Tarski-style truth-definitions. (shrink)

In this paper we start from the assumption that in a metaphor, or an analogy, some terms belonging to one domain (source domain) are used to refer to objects other than their conventional referents belonging to a possibly different domain (target domain). We describe a formalism, which is based on the First Order Predicate Calculus, for representing the knowledge structure associated with a domain and then develop a theory of Constrained Semantic Transference [CST] which allows the terms and the (...) structural relationships of the source domain to be transferred coherently across to the target domain. We show how metaphors and analogies can be characterized in CST in such a way that many of their cognitive properties con be explained.We then propose a theory of Approximate Semantic Transference [AST] which is a computational version of CST and is derived from it by replacing the coherency requirement with approximate coherency. We show how AST can be used as a basis for designing models of cognitive processes involved in comprehending metaphors and analogies. (shrink)

Una Stojnić's Context and Coherence: The Logic and Grammar of Prominence offers a series of interesting criticisms of the classical dynamic paradigm in natural language semantics and offers a sophisticated alternative outlook, one that does recognize a dynamic, context change inducing dimension of meaning but at the same preserves the idea that (declarative) utterances express propositions in context. The purpose of this note is to set the record straight: existing dynamic analyses of modals and conditionals compare favorably with Stojnić's (...) dynamic propositionalism. (shrink)