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- Jan van Eijck, Formal Concept Analysis and Lexical Semantics.To ascertain that a formalization of the intuitive notion of a ‘concept’ is linguistically interesting, one has to check whether it allows to get a grip on distinctions and notions from lexical semantics. Prime candidates are notions like ‘prototype’, ‘stereotypical attribute’, ‘essential attribute versus accidental attribute’, ‘intension versus extension’. We will argue that although the current paradigm of formal concept analysis as an application of lattice theory is not rich enough for an analysis of these notions, a lattice theoretical approach to concepts is a suitable starting point for formalizing them.
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This article reviews some linguistic and philosophical work in lexical semantics. In Section 1, the general methods of lexical semantics are explored, with particular attention to how semantic features of verbs are associated with grammatical patterns. In Section 2, philosophical consequences and issues arising from this sort of research is reviewed.
My first plea has to do with the adequacy of this approach for the diverse purposes that philosophers set out for conceptual analysis. It is unclear what to make of concepts that do not lend themselves to obvious analysis in terms of the sorts of benefits that motivate Fisher’s intuitive cases. Some of the central concepts of philosophy — just the ones that where conceptual analysis ought to be most at home — like Knowledge or Person or Just State are not ones where the benefit of determining whether something falls under that concept is as direct as Fisher’s intuitive case suggests. Indeed, in the case of Knowledge, for instance, it is not clear that there is much benefit at all in determining whether something falls under the concept. My sense is that the benefit of philosophical concepts is in their role in a much larger framework of understanding our humanity. That 1 framework has some currency to philosophers, and perhaps there can be some abstract assignment of benefit to the conceptual joints of that framework, but it seems more like the benefit is in the holistic aspects of the framework. If this is right, then the benefit afforded by the individual concepts is going to be massively indirect. The problem appears to be that, for some concepts, PCA’s premier virtue begins to look like a vice. Fisher says, Our explication of concept-meaning will determine which meanings we attribute to various first-order concepts, and that, in turn, will guide our application of those concepts. …[W]e need an explication that will attribute to each concept a meaning that, if employed as application conditions for that concept, would do well to sustain the regular ways in which that concept has been beneficially used (p. 9).
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1. Formal semantics in linguistics -- 2. Generalized quantifier theory -- 3. The interface between syntax and semantics -- 4. Anaphora, discourse, and modality -- 5. Focus, presupposition, and negation -- 6. Tense -- 7. Questions -- 8. Plurals -- 9. Computational semantics -- 10. Lexical semantics -- 11. Semantics and related domains.
In this commentary I discuss the role of types of knowledge and conceptual structures in lexical representation, revealing the explanatory potential of frame-based knowledge. Although frame-based lexical semantics is not alien to the theoretical model outlined in Jackendoff's conceptual semantics, testing its relevance to the analysis of the lexical evidence presented in his book has been left out of consideration.
Categorization is probably one of the most central areas in the study of cognition, language and information. However, there is a serious gap running through the semantic treatments of categories and concepts [3]. On one side we find the ’classical’, formal approach, based on logical considerations, that has lent itself well for computational applications. In this approach, concepts are defined in terms of necessary and sufficient conditions. On the other side is an informal approach to categorization that is usually motivated by the results of psychological experiments and that has not found its way into technologies on a large scale. Concepts here are based on prototypes, stereotypical attributes and family resemblances, which have become the hallmark of cognitive semantics. Obviously, it is important to bridge this gap, for theoretical and practical reasons.
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After a quick overview of the field of study known as “Lexical Semantics”, where we advocate the need of accessing additional information besides syntax and Montague-style semantics at the lexical level in order to complete the full analysis of an utterance, we summarize the current formulations of a well-known theory of that field. We then propose and justify our own model of the Generative Lexicon Theory, based upon a variation of classical compositional semantics, and outline its formalization. Additionally, we discuss the theoretical place of informational, knowledge-related data supposed to exist within the lexicon as well as within discourse and other linguistic constructs. The formalization of the structure of natural language utterances around a surface form (phenogrammatics), a deep structure (tectogrammatics) and the meaning thereof as a logical form (semantics) has developed from the original theories of Curry and Montague to form coherent, type-driven models. Most of these new theories rely upon variations of the compositional analysis of the sentence: from pheno to tectogrammatics, and then to semantics. Our contribution to this work aims at giving such a model a means to overcome the problems posed by polysemous lexical units during the semantical analysis of the tectogrammatical form. Building upon an assumed “deep structure”, we formalize parts of Pustejovsky’s Generative Lexicon Theory, linguistically motivated in Pustejovsky (The generative lexicon, MIT Press, Cambridge, MA, 1995), in a pre-processing of the semantics of the sentence. The mechanisms of Lexical Semantics we propose are an additional layer of classical Montague compositional semantics, and, as such, integrate smoothly within such an analysis; we proceed by converting the lexical data to modifiers of the logical form. This treatment of Lexical Semantics furthermore induces us to think that some sort of non-evident background knowledge of the common use of words is necessary to perform a correct semantic analysis of an utterance. This “commonsense metaphysics” would therefore not be strictly confined to pragmatics, as is often assumed.
Lexical Semantics is about the meaning of words. Although obviously a central concern of linguistics, the semantic behaviour of words has been unduly neglected in the current literature, which has tended to emphasize sentential semantics and its relation to formal systems of logic. In this textbook D. A. Cruse establishes in a principled and disciplined way the descriptive and generalizable facts about lexical relations that any formal theory of semantics will have to encompass. Among the topics covered in depth are idiomaticity, lexical ambiguity, synonymy, hierarchical relations such as hyponymy and meronymy, and various types of oppositeness. Syntagmatic relations are also treated in some detail. The discussions are richly illustrated by examples drawn almost entirely from English. Although a familiarity with traditional grammar is assumed, readers with no technical linguistic background will find the exposition always accessible. All readers with an interest in semantics will find in this original text not only essential background but a stimulating new perspective on the field.
Lexical ambiguity presents one of the most intractable problems for language processing studies and, not surprisingly, it is at the core of research in lexical semantics. Originally published as two special issues of the Journal of Semantics, this collection focuses on the problem of polysemy, from the point of view of practitioners of computational linguistics.
In this interpretive analysis, Ravin argues that thematic roles are not valid semantic entities, and that syntax and semantics are indeed autonomous and independent of one another. Suggesting a decompositional approach to lexical semantics in the spirit of Katz's semantic theory, the book considers such theoretical issues as indeterminacy and ambiguity, lexical configuration rules, and lexical projection, and analyzes the semantic content of event concepts such as causation, action, and change.
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