Type Logical Syntax
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Type Logical Syntax
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Author : Yusuke Kubota
language : en
Publisher: MIT Press
Release Date : 2020-09-15
Type Logical Syntax written by Yusuke Kubota and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-15 with Language Arts & Disciplines categories.
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.
Type Logical Syntax
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Author : Yusuke Kubota
language : en
Publisher:
Release Date : 2016
Type Logical Syntax written by Yusuke Kubota and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Categorial grammar categories.
"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."--
Anaphora And Type Logical Grammar
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Author : Gerhard Jäger
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-08-26
Anaphora And Type Logical Grammar written by Gerhard Jäger and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-26 with Computers categories.
Type Logical Grammar is a framework that emerged from the synthesis of two traditions: Categorial Grammar from formal linguistics and substructural logics from logic. Grammatical composition is conceived as resource conscious logical deduction. Such a grammar is necessarily surface oriented and lexicalistic. The Curry-Howard correspondence supplies an elegant compositional mapping from syntax to semantics. Anaphora does not seem to fit well into this framework. In type logical deductions, each resource is used exactly once. Anaphora, however, is a phenomenon where semantic resources are used more than once. Generally admitting the multiple use of lexical resources is not possible because it would lead to empirical inadequacy and computational intractability. This book develops a hybrid architecture that allows to incorporate anaphora resolution into grammatical deduction while avoiding these consequences. To this end, the grammar logic is enriched with a connective that specifically deals with anaphora. After giving a self-contained introduction into Type Logical Grammar in general, the book discusses the formal properties of this connective. In the sequel, Jäger applies this machinery to numerous linguistic phenomena pertaining to the interaction of pronominal anaphora, VP ellipsis and quantification. In the final chapter, the framework is extended to indefiniteness, specificity and sluicing.
Type Logical Grammar
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Author : G.V. Morrill
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Type Logical Grammar written by G.V. Morrill and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Philosophy categories.
This book sets out the foundations, methodology, and practice of a formal framework for the description of language. The approach embraces the trends of lexicalism and compositional semantics in computational linguistics, and theoretical linguistics more broadly, by developing categorial grammar into a powerful and extendable logic of signs. Taking Montague Grammar as its point of departure, the book explains how integration of methods from philosophy (logical semantics), computer science (type theory), linguistics (categorial grammar) and meta-mathematics (mathematical logic ) provides a categorial foundation with coverage including intensionality, quantification, featural polymorphism, domains and constraints. For the first time, the book systematises categorial thinking into a unified program which is at once both logically secured, and a practical tool for pure lexical grammar development with type-theoretic semantics. It should be of interest to all those active in computational linguistics and formal grammar and is suitable for use at advanced undergraduate, postgraduate, and research levels.
Type Logical Semantics
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Author : Bob Carpenter
language : en
Publisher: MIT Press
Release Date : 1998-07-24
Type Logical Semantics written by Bob Carpenter and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-07-24 with Language Arts & Disciplines categories.
Based on an introductory course on natural-language semantics, this book provides an introduction to type-logical grammar and the range of linguistic phenomena that can be handled in categorial grammar. It also contains a great deal of original work on categorial grammar and its application to natural-language semantics. The author chose the type-logical categorial grammar as his grammatical basis because of its broad syntactic coverage and its strong linkage of syntax and semantics. Although its basic orientation is linguistic, the book should also be of interest to logicians and computer scientists seeking connections between logical systems and natural language. The book, which stepwise develops successively more powerful logical and grammatical systems, covers an unusually broad range of material. Topics covered include higher-order logic, applicative categorial grammar, the Lambek calculus, coordination and unbounded dependencies, quantifiers and scope, plurals, pronouns and dependency, modal logic, intensionality, and tense and aspect. The book contains more mathematical development than is usually found in texts on natural language; an appendix includes the basic mathematical concepts used throughout the book.
Categorial Grammar
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Author : Glyn Morrill
language : en
Publisher: Oxford University Press
Release Date : 2011
Categorial Grammar written by Glyn Morrill and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Computers categories.
This book provides a state-of-the-art introduction to categorial grammar, a type of formal grammar which analyses expressions as functions or according to a function-argument relationship. The book's focus is on linguistic, computational, and psycholinguistic aspects of logical categorial grammar, i.e. enriched Lambek Calculus. Glyn Morrill opens with the history and notation of Lambek Calculus and its application to syntax, semantics, and processing. Successive chapters extend the grammar to a number of significant syntactic and semantic properties of natural language. The final part applies Morrill's account to several current issues in processing and parsing, considered from both a psychological and a computational perspective. The book offers a rigorous and thoughtful study of one of the main lines of research in the formal and mathematical theory of grammar, and will be suitable for students of linguistics and cognitive science from advanced undergraduate level upwards.
Logical Syntax Of Language
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Author : Rudolf Carnap
language : en
Publisher: Routledge
Release Date : 2014-06-23
Logical Syntax Of Language written by Rudolf Carnap and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-23 with Philosophy categories.
This is IV volume of eight in a series on Philosophy of the Mind and Language. For nearly a century mathematicians and logicians have been striving hard to make logic an exact science. But a book on logic must contain, in addition to the formulae, an expository context which, with the assistance of the words of ordinary language, explains the formulae and the relations between them; and this context often leaves much to be desired in the matter of clarity and exactitude. Originally published in 1937, the purpose of the present work is to give a systematic exposition of such a method, namely, of the method of " logical syntax".
Categories And Types In Logic Language And Physics
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Author : Claudia Casadio
language : en
Publisher: Springer
Release Date : 2014-04-03
Categories And Types In Logic Language And Physics written by Claudia Casadio and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-03 with Mathematics categories.
For more than 60 years, Jim Lambek has been a profoundly inspirational mathematician, with groundbreaking contributions to algebra, category theory, linguistics, theoretical physics, logic and proof theory. This Festschrift was put together on the occasion of his 90th birthday. The papers in it give a good picture of the multiple research areas where the impact of Jim Lambek's work can be felt. The volume includes contributions by prominent researchers and by their students, showing how Jim Lambek's ideas keep inspiring upcoming generations of scholars.
Wittgenstein A Guide For The Perplexed
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Author : Mark Addis
language : en
Publisher: Bloomsbury Publishing
Release Date : 2006-03-23
Wittgenstein A Guide For The Perplexed written by Mark Addis and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-23 with Philosophy categories.
Continuum's Guides for the Perplexed are clear, concise and accessible introductions to thinkers, writers and subjects that students and readers can find especially challenging. Concentrating specifically on what it is that makes the subject difficult to fathom, these books explain and explore key themes and ideas, guiding the reader towards a thorough understanding of demanding material. Ludwig Wittgenstein is one of the most influential twentieth century philosophers with his ideas occupying a central place in the history and study of modern philosophy. Students will inevitably encounter his major contributions to the philosophies of language, mind, logic and mathematics. However, there is no escaping the extent of the challenge posed by Wittgenstein whose complex ideas are often enigmatically expressed. Wittgenstein: A Guide for the Perplexed is an authoritative, comprehensive and lucid commentary on the philosophy of this eminent modern thinker. It offers sound guidance to reading Wittgenstein and a valuable methodology for interpreting his works. The illuminating text covers the entirety of Wittgenstein's thought, examining the relationship between the early, middle and late periods of his philosophy. Detailed attention is paid to Wittgenstein's great works the Tractatus Logico-Philosophicus and Philosophical Investigations, as well as to other published writings. Valuably, the guide also covers ground not commonly explored in studies of Wittgenstein, including his contributions to aesthetics and philosophy of religion. This is the most thorough and fully engaged account of Wittgenstein available - an invaluable resource for students and anyone interested in philosophy and modern intellectual history.
Handbook Of Logic And Language
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Author : Johan F.A.K. van Benthem
language : en
Publisher: Elsevier
Release Date : 2010-12-17
Handbook Of Logic And Language written by Johan F.A.K. van Benthem and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-17 with Mathematics categories.
The logical study of language is becoming more interdisciplinary, playing a role in fields such as computer science, artificial intelligence, cognitive science and game theory. This new edition, written by the leading experts in the field, presents an overview of the latest developments at the interface of logic and linguistics as well as a historical perspective. It is divided into three parts covering Frameworks, General Topics and Descriptive Themes. - Completely revised and updated - includes over 25% new material - Discusses the interface between logic and language - Many of the authors are creators or active developers of the theories