Mathematical Structure Of Syntactic Merge
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Mathematical Structure Of Syntactic Merge
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Author : Matilde Marcolli
language : en
Publisher: MIT Press
Release Date : 2025-08-05
Mathematical Structure Of Syntactic Merge written by Matilde Marcolli and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-05 with Language Arts & Disciplines categories.
A mathematical formalization of Chomsky’s theory of Merge in generative linguistics. The Minimalist Program advanced by Noam Chomsky thirty years ago, focusing on the biological nature of human language, has played a central role in our modern understanding of syntax. One key to this program is the notion that the hierarchical structure of human language syntax consists of a single operation Merge. For the first time, Mathematical Structure of Syntactic Merge presents a complete and precise mathematical formalization of Chomsky’s most recent theory of Merge. It both furnishes a new way to explore Merge’s important linguistic implications clearly while also laying to rest any fears that the Minimalist framework based on Merge might itself prove to be formally incoherent. In this book, Matilde Marcolli, Noam Chomsky, and Robert C. Berwick prove that Merge can be described as a very particular kind of highly structured algebra. Additionally, the book shows how Merge can be placed within a consistent framework that includes both a syntactic-semantic interface that realizes Chomsky’s notion of a conceptual-intentional interface, and an externalization system that realizes language-specific constraints. The syntax-semantics interface encompasses many current semantical theories and offers deep insights into the ways that modern “large language models” work, proving that these do not undermine in any way the scientific theories of language based on generative grammar.
Merge
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Author : Barbara Citko
language : en
Publisher: MIT Press
Release Date : 2021-02-02
Merge written by Barbara Citko and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-02 with Language Arts & Disciplines categories.
An argument that Merge is binary but its binarity refers to syntactic positions rather than objects. In this book, Barbara Citko and Martina Gračanin-Yüksek examine the constraints on Merge--the basic structure-building operation in minimalist syntax--from a multidominant perspective. They maintain that Merge is binary, but argue that the binarity of Merge refers to syntactic positions Merge relates: what has typically been formulated as a constraint that prevents Merge from combining more than two syntactic objects is a constraint on Merge's relating more than two syntactic positions.
The Mathematics Of Syntactic Structure
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Author : Hans-Peter Kolb
language : en
Publisher: Walter de Gruyter
Release Date : 2011-09-12
The Mathematics Of Syntactic Structure written by Hans-Peter Kolb and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-12 with Language Arts & Disciplines categories.
The architecture of the human language faculty has been one of the main foci of the linguistic research of the last half century. This branch of linguistics, broadly known as Generative Grammar, is concerned with the formulation of explanatory formal accounts of linguistic phenomena with the ulterior goal of gaining insight into the properties of the 'language organ'. The series comprises high quality monographs and collected volumes that address such issues. The topics in this series range from phonology to semantics, from syntax to information structure, from mathematical linguistics to studies of the lexicon.
Merge And The Strong Minimalist Thesis
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Author : Noam Chomsky
language : en
Publisher:
Release Date : 2023-12-14
Merge And The Strong Minimalist Thesis written by Noam Chomsky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-14 with Language Arts & Disciplines categories.
This Element is an accessible and up-to-date exploration of Merge, the central operation of the syntax.
Primitive Elements Of Grammatical Theory
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Author : Katherine McKinney-Bock
language : en
Publisher: Routledge
Release Date : 2013-10-15
Primitive Elements Of Grammatical Theory written by Katherine McKinney-Bock and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-15 with Language Arts & Disciplines categories.
This book is a compilation of manuscripts and publications from 2001-2010 by Jean-Roger Vergnaud, in collaboration with colleagues and students. This work is guided by the scientific belief that broader mathematical principles should guide linguistic inquiry, as they guide classical biology and physics. From this, Vergnaud’s hypotheses take the representation of the computational component of language to a more abstract level: one that derives constituent structure. He treats linguistic features as primitives, and argues that a 2 x n matrix allows for multiple discrete dimensions to represent symmetries in linguistic features and to derive the fabric of syntax (and perhaps of phonology as well). Three primary research questions guide the core of these papers. (A) Methodologically, how can broadly defined mathematical/cognitive principles guide linguistic investigation? (B) To what extent do general mathematical principles apply across linguistic domains? What principles guide computation at different levels of linguistic structure (phonology, metrical structure, syntax)? (C) How is the computational domain defined? In these manuscripts, Vergnaud’s goal is not to radically depart from the Minimalist Program within generative grammar, but rather to take the underlying goal of the generative program and bring it to an even more general scientific level. The themes of symmetry and periodicity in this book reflect his goal of scientific progress in linguistics, and he has opened the doors to new exploration of old empirical problems in linguistics that may, someday, have deeper biological and physical explanations through the theory presented in this publication.
Syntactic Architecture And Its Consequences Ii
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Author : András Bárány
language : en
Publisher: Language Science Press
Release Date : 2020-12-30
Syntactic Architecture And Its Consequences Ii written by András Bárány and has been published by Language Science Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-30 with Language Arts & Disciplines categories.
This volume collects novel contributions to comparative generative linguistics that “rethink” existing approaches to an extensive range of phenomena, domains, and architectural questions in linguistic theory. At the heart of the contributions is the tension between descriptive and explanatory adequacy which has long animated generative linguistics and which continues to grow thanks to the increasing amount and diversity of data available to us. The chapters address research questions in comparative morphosyntax, including the modelling of syntactic categories, relative clauses, and demonstrative systems. Many of these contributions show the influence of research by Ian Roberts and collaborators and give the reader a sense of the lively nature of current discussion of topics in morphosyntax and morphosyntactic variation.
Segmental Structure And Representations
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Author : Jeroen van de Weijer
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-03-20
Segmental Structure And Representations written by Jeroen van de Weijer and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-20 with Language Arts & Disciplines categories.
Representing Phonological Detail Part I: Segmental Structure and Representations Part II: Syllable, Stress and Sign Part I of Representing Phonological Detail focuses on the latest phonological research on a range of issues. The first main theme in this volume is vowel representation, with special attention paid to topics such as vowel harmony and other vocalic processes (e.g., historical umlaut, vowel epenthesis, and the representation of vowel quality and height). The second main theme is consonant representation and consonantal processes (including laryngeal phonology and stop insertion). Finally, the acquisition of phonology and the interface between phonology and morphosyntax are examined, attending in particular to boundary symbols, morphological blends, and the status of recursion in phonology and syntax.
Mathematical Methods In Linguistics
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Author : Barbara B.H. Partee
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematical Methods In Linguistics written by Barbara B.H. Partee 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 Computers categories.
Elementary set theory accustoms the students to mathematical abstraction, includes the standard constructions of relations, functions, and orderings, and leads to a discussion of the various orders of infinity. The material on logic covers not only the standard statement logic and first-order predicate logic but includes an introduction to formal systems, axiomatization, and model theory. The section on algebra is presented with an emphasis on lattices as well as Boolean and Heyting algebras. Background for recent research in natural language semantics includes sections on lambda-abstraction and generalized quantifiers. Chapters on automata theory and formal languages contain a discussion of languages between context-free and context-sensitive and form the background for much current work in syntactic theory and computational linguistics. The many exercises not only reinforce basic skills but offer an entry to linguistic applications of mathematical concepts. Forupper-level undergraduate students and graduate students in theoretical linguistics, computer-science students with interests in computational linguistics, logic programming and artificial intelligence, mathematicians and logicians with interests in linguistics and the semantics of natural language.
The Minimalist Program
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Author : Fahad Rashed Al-Mutairi
language : en
Publisher: Cambridge University Press
Release Date : 2014-10-16
The Minimalist Program written by Fahad Rashed Al-Mutairi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-16 with Language Arts & Disciplines categories.
This evaluation of Chomsky's work from the perspectives of linguistics, evolution of language, history of physics, and philosophy of mind is interdisciplinary. It encourages linguists to reflect on the foundations of their discipline, and invites non-linguists to appreciate the complexity of human language and its place in the world.
Syntactic Complexity Across Interfaces
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Author : Andreas Trotzke
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2015-03-10
Syntactic Complexity Across Interfaces written by Andreas Trotzke and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-10 with Language Arts & Disciplines categories.
Syntactic complexity has always been a matter of intense investigation in formal linguistics. Since complex syntax is clearly evidenced by sentential embedding and since embedding of one clause/phrase in another is taken to signal recursivity of the grammar, the capacity of computing syntactic complexity is of central interest to the recent hypothesis that syntactic recursion is the defining property of natural language. In the light of more recent claims according to which complex syntax is not a universal property of all living languages, the issue of how to detect and define syntactic complexity has been revived with a combination of classical and new arguments. This volume contains contributions about the formal complexity of natural language, about specific issues of clausal embedding, and about syntactic complexity in terms of grammar-external interfaces in the domain of language acquisition.