Semantics: A View to Logic of Language

Semantics: A View to Logic of Language PDF

Author: Kisno

Publisher: LLC Publishing

Published:

Total Pages: 106

ISBN-13: 6029126350

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I see semantics as one branch of linguistics, which is the study of language: as an area of study parallel to, and interacting with, those syntax and phonology, which deal respectively with the formal patterns of language, and the way in which these are translated into sounds. While syntax and phonology study the structure of expressive possibilities in language, semantics study the meanings that can be expressed. It may convincingly be claimed that viewing semantics as a component discipline of linguistics is the most fruitful and exciting point of departure at the present time. The book of this kind cannot attempt an overall survey of the field of semantics or at least, if it does, it will end up as a superficial compendium of what others have thought about meaning. The only sensible course is to give evidence that linguistics does exist in our life and it is hypocritical not to acknowledge that linguistics is difficult to understand due to its scientificity. Semantics is a non-fiction science through its unique approach to find the meaning of language not by guessing or judging something subjectively. The strength of the integrated view is that it makes possible a transfer to semantics of techniques of analysis which have proved successful with other aspects of language. It has to be conceded that the primary appeal of semantics is an intellectual one, similar in some respects to that of mathematics or any pure science. Only after seeking understanding for understanding’s sake can one acquire the wisdom which consists in using that understanding for good ends.

Essays in Logical Semantics

Essays in Logical Semantics PDF

Author: Johan van Benthem

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 231

ISBN-13: 940094540X

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Recent developments in the semantics of natural language seem to lead to a genuine synthesis of ideas from linguistics and logic, producing novel concepts and questions of interest to both parent disciplines. This book is a collection of essays on such new topics, which have arisen over the past few years. Taking a broad view, developments in formal semantics over the past decade can be seen as follows. At the beginning stands Montague's pioneering work, showing how a rigorous semantics can be given for complete fragments of natural language by creating a suitable fit between syntactic categories and semantic types. This very enterprise already dispelled entrenched prejudices concerning the separation of linguistics and logic. Having seen the light, however, there is no reason at all to stick to the letter of Montague's proposals, which are often debatable. Subsequently, then, many improvements have been made upon virtually every aspect of the enterprise. More sophisticated grammars have been inserted (lately, lexical-functional grammar and generalized phrase structure grammar), more sensitive model structures have been developed (lately, 'partial' rather than 'total' in their com position), and even the mechanism of interpretation itself may be fine-tuned more delicately, using various forms of 'representations' mediating between linguistic items and semantic reality. In addition to all these refinements of the semantic format, descriptive coverage has extended considerably.

Natural Language Semantics

Natural Language Semantics PDF

Author: Brendan S. Gillon

Publisher: MIT Press

Published: 2019-03-12

Total Pages: 731

ISBN-13: 0262039206

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An introduction to natural language semantics that offers an overview of the empirical domain and an explanation of the mathematical concepts that underpin the discipline. This textbook offers a comprehensive introduction to the fundamentals of those approaches to natural language semantics that use the insights of logic. Many other texts on the subject focus on presenting a particular theory of natural language semantics. This text instead offers an overview of the empirical domain (drawn largely from standard descriptive grammars of English) as well as the mathematical tools that are applied to it. Readers are shown where the concepts of logic apply, where they fail to apply, and where they might apply, if suitably adjusted. The presentation of logic is completely self-contained, with concepts of logic used in the book presented in all the necessary detail. This includes propositional logic, first order predicate logic, generalized quantifier theory, and the Lambek and Lambda calculi. The chapters on logic are paired with chapters on English grammar. For example, the chapter on propositional logic is paired with a chapter on the grammar of coordination and subordination of English clauses; the chapter on predicate logic is paired with a chapter on the grammar of simple, independent English clauses; and so on. The book includes more than five hundred exercises, not only for the mathematical concepts introduced, but also for their application to the analysis of natural language. The latter exercises include some aimed at helping the reader to understand how to formulate and test hypotheses.

From Discourse to Logic

From Discourse to Logic PDF

Author: Hans Kamp

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 730

ISBN-13: 9401716161

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Preface This book is about semantics and logic. More specifically, it is about the semantics and logic of natural language; and, even more specifically than that, it is about a particular way of dealing with those subjects, known as Discourse Representation Theory, or DRT. DRT is an approach towards natural language semantics which, some thirteen years ago, arose out of attempts to deal with two distinct problems. The first of those was the semantic puzzle that had been brought to contempo rary attention by Geach's notorious "donkey sentences" - sentences like If Pedro owns some donkey, he beats it, in which the anaphoric connection we perceive between the indefinite noun phrase some donkey and the pronoun it may seem to conflict with the existential meaning of the word some. The second problem had to do with tense and aspect. Some languages, for instance French and the other Romance languages, have two morphologically distinct past tenses, a simple past (the French Passe Simple) and a continuous past (the French Imparfait). To articulate precisely what the difference between these tenses is has turned out to be surprisingly difficult.

Semantics of Natural Language

Semantics of Natural Language PDF

Author: Donald Davidson

Publisher: Springer

Published: 1972

Total Pages: 800

ISBN-13:

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The idea that prompted the conferenee for which many of these papers were written, and that inspired this book, is stated in the Editorial Introduction reprinted below from Volume 21 of Synthese. The present volume contains the artieles in Synthese 21, Numbers 3-4 and Synthese 22, Numbers 1-2. In addition, it ineludes new papers by Saul Kripke, James McCawley, John R. Ross, and Paul Ziff, and reprints 'Grammar and Philosophy' by P. F. Strawson. Strawson's artiele first appeared in the Proceedings of the Aristotelian Society, Volume 70, and is reprinted with the kind permission of the author and the Aristotelian Society. We also repeat our thanks to the Olivetti Companyand Edizione di Comunita of Milan for permission to inelude the paper by Dana Scott; it also appeared in Synthese 21. DONALO DAVIDSON GILBERT HARMAN EDITORIAL INTRODUCTION The success of linguistics in treating naturallanguages as formal syntactic systems has aroused the interest of a number of linguists in a paralleI or related development of semantics. For the most part quite independ­ ently, many philosophers and logicians have reeently been applying formai semantic methods to structures increasingly like naturallanguages. While differenees in training, method and vocabulary tend to veil the fact, philosophers and linguists are converging, it seerns, on a common set of interrelated probiems. Sinee philosophers and linguists are working on the same, or very similar, probiems, it would obviously be instructive to compare notes.

Logic and Lexicon

Logic and Lexicon PDF

Author: Manfred Pinkal

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 392

ISBN-13: 9401584451

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Semantic underspecification is an essential and pervasive property of natural language. This monograph provides a comprehensive survey of the various phenomena in the field of ambiguity and vagueness. The book discusses the major theories of semantic indefiniteness, which have been proposed in linguistics, philosophy and computer science. It argues for a view of indefiniteness as the potential for further contextual specification, and proposes a unified logical treatment of indefiniteness on this basis. The inherent inconsistency of natural language induced by irreducible imprecision is investigated, and treated in terms of a dynamic extension of the proposed logic. The book is an extended edition of a German monograph and is addressed to advanced students and researchers in theoretical and computational linguistics, logic, philosophy of language, and NL- oriented AI. Although it makes extensive use of logical formalisms, it requires only some basic familiarity with standard predicate logic concepts since all technical terms are carefully explained.

The Logic of Language

The Logic of Language PDF

Author: Pieter A. M. Seuren

Publisher: OUP Oxford

Published: 2009-10-29

Total Pages: 448

ISBN-13: 0191571792

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The Logic of Language opens a new perspective on logic. Pieter Seuren argues that the logic of language derives from the lexical meanings of the logical operators. These meanings, however, prove not to be consistent. Seuren solves this problem through an indepth analysis of the functional adequacy of natural predicate logic and standard modern logic for natural linguistic interaction. He then develops a general theory of discourse-bound interpretation, covering discourse incrementation, anaphora, presupposition and topic-comment structure, all of which, the author claims, form the 'cement' of discourse structure. This is the second of a two-volume foundational study of language, published under the title Language from Within. Pieter Seuren discusses such apparently diverse issues as the ontology underlying the semantics of language, speech act theory, intensionality phenomena, the machinery and ecology of language, sentential and lexical meaning, the natural logic of language and cognition, and the intrinsically context-sensitive nature of language - and shows them to be intimately linked. Throughout his ambitious enterprise, he maintains a constant dialogue with established views, reflecting their development from Ancient Greece to the present. The resulting synthesis concerns central aspects of research and theory in linguistics, philosophy and cognitive science.

Introduction to Montague Semantics

Introduction to Montague Semantics PDF

Author: D. R. Dowty

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 326

ISBN-13: 9400990650

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In this book we hope to acquaint the reader with the fundamentals of truth conditional model-theoretic semantics, and in particular with a version of this developed by Richard Montague in a series of papers published during the 1960's and early 1970's. In many ways the paper 'The Proper Treatment of Quantification in Ordinary English' (commonly abbreviated PTQ) represents the culmination of Montague's efforts to apply the techniques developed within mathematical logic to the semantics of natural languages, and indeed it is the system outlined there that people generally have in mind when they refer to "Montague Grammar". (We prefer the term "Montague Semantics" inasmuch as a grammar, as conceived of in current linguistics, would contain at least a phonological component, a morphological component, and other subsystems which are either lacking entirely or present only in a very rudi mentary state in the PTQ system. ) Montague's work has attracted increasing attention in recent years among linguists and philosophers since it offers the hope that semantics can be characterized with the same formal rigor and explicitness that transformational approaches have brought to syntax. Whether this hope can be fully realized remains to be seen, but it is clear nonetheless that Montague semantics has already established itself as a productive para digm, leading to new areas of inquiry and suggesting new ways of conceiving of theories of natural language. Unfortunately, Montague's papers are tersely written and very difficult to follow unless one has a considerable background in logical semantics.

Type-Logical Syntax

Type-Logical Syntax PDF

Author: Yusuke Kubota

Publisher: MIT Press

Published: 2020-09-15

Total Pages: 420

ISBN-13: 0262539748

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A novel logic-based framework for representing the syntax-semantics interface of natural language, applicable to a range of phenomena. In this book, Yusuke Kubota and Robert Levine propose a type-logical version of categorial grammar as a viable alternative model of natural language syntax and semantics. They show that this novel logic-based framework is applicable to a range of phenomena—especially in the domains of coordination and ellipsis—that have proven problematic for traditional approaches. The type-logical syntax the authors propose takes derivations of natural language sentences to be proofs in a particular kind of logic governing the way words and phrases are combined. This logic builds on and unifies two deductive systems from the tradition of categorial grammar; the resulting system, Hybrid Type-Logical Categorial Grammar (Hybrid TLCG) enables comprehensive approaches to coordination (gapping, dependent cluster coordination, and right-node raising) and ellipsis (VP ellipsis, pseudogapping, and extraction/ellipsis interaction). It captures a number of intricate patterns of interaction between scopal operators and seemingly incomplete constituents that are frequently found in these two empirical domains. Kubota and Levine show that the hybrid calculus underlying their framework incorporates key analytic ideas from competing approaches in the generative syntax literature to offer a unified and systematic treatment of data that have posed considerable difficulties for previous accounts. Their account demonstrates that logic is a powerful tool for analyzing the deeper principles underlying the syntax and semantics of natural language.