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The Mathematics Of Syntactic Structure


The Mathematics Of Syntactic Structure
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The Mathematics Of Syntactic Structure


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.



Syntactic Structures


Syntactic Structures
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Author : Noam Chomsky
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-05-18

Syntactic Structures written by Noam Chomsky 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 2020-05-18 with Language Arts & Disciplines categories.


No detailed description available for "Syntactic Structures".



Structure Of Language And Its Mathematical Aspects


Structure Of Language And Its Mathematical Aspects
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Author :
language : en
Publisher: American Mathematical Soc.
Release Date : 1961

Structure Of Language And Its Mathematical Aspects written by and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Language and languages categories.




Mathematical Structure Of Syntactic Merge


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.



The Mathematics Of Language


The Mathematics Of Language
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Author : Marcus Kracht
language : en
Publisher: Walter de Gruyter
Release Date : 2003

The Mathematics Of Language written by Marcus Kracht 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 2003 with Language Arts & Disciplines categories.


Table of contents



Mathematical Methods In Linguistics


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.



Syntactic Structures


Syntactic Structures
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Author : Noam Chomsky
language : en
Publisher: Walter de Gruyter
Release Date : 2009-09-24

Syntactic Structures written by Noam Chomsky 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 2009-09-24 with Language Arts & Disciplines categories.


No detailed description available for "Syntactic Structures".



Syntactic Structures After 60 Years


Syntactic Structures After 60 Years
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Author : Norbert Hornstein
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-01-09

Syntactic Structures After 60 Years written by Norbert Hornstein 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 2018-01-09 with Language Arts & Disciplines categories.


This volume explores the continuing relevance of Syntactic Structures to contemporary research in generative syntax. The contributions examine the ideas that changed the way that syntax is studied and that still have a lasting effect on contemporary work in generative syntax. Topics include formal foundations, the syntax-semantics interface, the autonomy of syntax, methods of data analysis, and detailed discussions of the role of transformations. New commentary from Noam Chomsky is included.



Quantitative Syntax Analysis


Quantitative Syntax Analysis
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Author : Reinhard K Hler
language : en
Publisher: Walter de Gruyter
Release Date : 2012

Quantitative Syntax Analysis written by Reinhard K Hler 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 2012 with categories.


This is the first book to bring together the fields of theoretical and empirical studies in syntax on the one hand and the methodology of quantitative linguistics on the other hand. An introduction into the aims and methods of the quantitative approach to linguistics in general and to syntax in particular prepares the reader for the following chapters, which inform about measurement and data acquisition methods and the most common mathematical models for the analysis of syntactic and syntagmatic material. Various examples illustrate how these models are applied and show the corresponding results.



The Logical Syntax Of Greek Mathematics


The Logical Syntax Of Greek Mathematics
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Author : Fabio Acerbi
language : en
Publisher: Springer Nature
Release Date : 2021-06-21

The Logical Syntax Of Greek Mathematics written by Fabio Acerbi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-21 with Mathematics categories.


The aim of this monograph is to describe Greek mathematics as a literary product, studying its style from a logico-syntactic point of view and setting parallels with logical and grammatical doctrines developed in antiquity. In this way, major philosophical themes such as the expression of mathematical generality and the selection of criteria of validity for arguments can be treated without anachronism. Thus, the book is of interest for both historians of ancient philosophy and specialists in Ancient Greek, in addition to historians of mathematics. This volume is divided into five parts, ordered in decreasing size of the linguistic units involved. The first part describes the three stylistic codes of Greek mathematics; the second expounds in detail the mechanism of "validation"; the third deals with the status of mathematical objects and the problem of mathematical generality; the fourth analyzes the main features of the "deductive machine," i.e. the suprasentential logical system dictated by the traditional division of a mathematical proposition into enunciation, setting-out, construction, and proof; and the fifth deals with the sentential logical system of a mathematical proposition, with special emphasis on quantification, modalities, and connectors. A number of complementary appendices are included as well.