The Universal Structure of Categories

The Universal Structure of Categories

Author: Martina Wiltschko

Publisher:

Published: 2014

Total Pages: 356

ISBN-13: 9781316010914

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"Using data from a variety of languages such as Blackfoot, Halkomelem, and Upper Austrian German, this book explores a range of grammatical categories and constructions, including tense, aspect, subjunctive, case and demonstratives. It presents a new theory of grammatical categories - the Universal Spine Hypothesis - and reinforces generative notions of Universal Grammar while accommodating insights from linguistic typology. In essence, this new theory shows that language-specific categories are built from a small set of universal categories and language-specific units of language. Throughout the book the Universal Spine Hypothesis is compared to two alternative theories - the Universal Base Hypothesis and the No Base Hypothesis. This valuable addition to the field will be welcomed by graduate students and researchers in linguistics"--


Book Synopsis The Universal Structure of Categories by : Martina Wiltschko

Download or read book The Universal Structure of Categories written by Martina Wiltschko and published by . This book was released on 2014 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Using data from a variety of languages such as Blackfoot, Halkomelem, and Upper Austrian German, this book explores a range of grammatical categories and constructions, including tense, aspect, subjunctive, case and demonstratives. It presents a new theory of grammatical categories - the Universal Spine Hypothesis - and reinforces generative notions of Universal Grammar while accommodating insights from linguistic typology. In essence, this new theory shows that language-specific categories are built from a small set of universal categories and language-specific units of language. Throughout the book the Universal Spine Hypothesis is compared to two alternative theories - the Universal Base Hypothesis and the No Base Hypothesis. This valuable addition to the field will be welcomed by graduate students and researchers in linguistics"--


The Universal Structure of Categories

The Universal Structure of Categories

Author: Martina Wiltschko

Publisher: Cambridge University Press

Published: 2014-07-24

Total Pages: 377

ISBN-13: 1107038510

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Using data from a variety of languages, this book explores a range of grammatical categories and constructions, including tense, aspect, subjunctive, case and demonstratives. It presents a new theory of grammatical categories - the Universal Spine Hypothesis - and reinforces generative notions of Universal Grammar while accommodating insights from linguistic typology.


Book Synopsis The Universal Structure of Categories by : Martina Wiltschko

Download or read book The Universal Structure of Categories written by Martina Wiltschko and published by Cambridge University Press. This book was released on 2014-07-24 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using data from a variety of languages, this book explores a range of grammatical categories and constructions, including tense, aspect, subjunctive, case and demonstratives. It presents a new theory of grammatical categories - the Universal Spine Hypothesis - and reinforces generative notions of Universal Grammar while accommodating insights from linguistic typology.


The Final-Over-Final Condition

The Final-Over-Final Condition

Author: Michelle Sheehan

Publisher: MIT Press

Published: 2017-10-27

Total Pages: 465

ISBN-13: 0262534169

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An examination of the evidence for and the theoretical implications of a universal word order constraint, with data from a wide range of languages. This book presents evidence for a universal word order constraint, the Final-over-Final Condition (FOFC), and discusses the theoretical implications of this phenomenon. FOFC is a syntactic condition that disallows structures where a head-initial phrase is contained in a head-final phrase in the same extended projection/domain. The authors argue that FOFC is a linguistic universal, not just a strong tendency, and not a constraint on processing. They discuss the effects of the universal in various domains, including the noun phrase, the adjective phrase, the verb phrase, and the clause. The book draws on data from a wide range of languages, including Hindi, Turkish, Basque, Finnish, Afrikaans, German, Hungarian, French, English, Italian, Romanian, Arabic, Hebrew, Mandarin, Pontic Greek, Bagirmi, Dholuo, and Thai. FOFC, the authors argue, is important because it is the only known example of a word order asymmetry pertaining to the order of heads. As such, it has significant repercussions for theories connecting the narrow syntax to linear order.


Book Synopsis The Final-Over-Final Condition by : Michelle Sheehan

Download or read book The Final-Over-Final Condition written by Michelle Sheehan and published by MIT Press. This book was released on 2017-10-27 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: An examination of the evidence for and the theoretical implications of a universal word order constraint, with data from a wide range of languages. This book presents evidence for a universal word order constraint, the Final-over-Final Condition (FOFC), and discusses the theoretical implications of this phenomenon. FOFC is a syntactic condition that disallows structures where a head-initial phrase is contained in a head-final phrase in the same extended projection/domain. The authors argue that FOFC is a linguistic universal, not just a strong tendency, and not a constraint on processing. They discuss the effects of the universal in various domains, including the noun phrase, the adjective phrase, the verb phrase, and the clause. The book draws on data from a wide range of languages, including Hindi, Turkish, Basque, Finnish, Afrikaans, German, Hungarian, French, English, Italian, Romanian, Arabic, Hebrew, Mandarin, Pontic Greek, Bagirmi, Dholuo, and Thai. FOFC, the authors argue, is important because it is the only known example of a word order asymmetry pertaining to the order of heads. As such, it has significant repercussions for theories connecting the narrow syntax to linear order.


Syntactic Categories

Syntactic Categories

Author: Gisa Rauh

Publisher: Oxford University Press

Published: 2010-06-03

Total Pages: 455

ISBN-13: 0199281424

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This book offers a systematic account of syntactic categories - the building blocks of sentences and the units of grammatical analysis, and explains their description in different formal as well as functional theories of language, including language typology. Its clear and balanced exposition will be widely welcomed by students.


Book Synopsis Syntactic Categories by : Gisa Rauh

Download or read book Syntactic Categories written by Gisa Rauh and published by Oxford University Press. This book was released on 2010-06-03 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a systematic account of syntactic categories - the building blocks of sentences and the units of grammatical analysis, and explains their description in different formal as well as functional theories of language, including language typology. Its clear and balanced exposition will be widely welcomed by students.


Typology and Universals

Typology and Universals

Author: William Croft

Publisher: Cambridge University Press

Published: 2003

Total Pages: 372

ISBN-13: 9780521004992

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A thorough rewriting to reflect advances in typology and universals in the past decade.


Book Synopsis Typology and Universals by : William Croft

Download or read book Typology and Universals written by William Croft and published by Cambridge University Press. This book was released on 2003 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough rewriting to reflect advances in typology and universals in the past decade.


Universal Semantic Syntax

Universal Semantic Syntax

Author: Egbert Fortuin

Publisher: Cambridge University Press

Published: 2019-05-09

Total Pages: 209

ISBN-13: 1108476805

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Offers a comprehensive and accessible introduction to a novel theory of syntax, which analyzes grammar from a semantic perspective.


Book Synopsis Universal Semantic Syntax by : Egbert Fortuin

Download or read book Universal Semantic Syntax written by Egbert Fortuin and published by Cambridge University Press. This book was released on 2019-05-09 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers a comprehensive and accessible introduction to a novel theory of syntax, which analyzes grammar from a semantic perspective.


An Invitation to General Algebra and Universal Constructions

An Invitation to General Algebra and Universal Constructions

Author: George M. Bergman

Publisher: Springer

Published: 2015-02-05

Total Pages: 574

ISBN-13: 3319114786

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Rich in examples and intuitive discussions, this book presents General Algebra using the unifying viewpoint of categories and functors. Starting with a survey, in non-category-theoretic terms, of many familiar and not-so-familiar constructions in algebra (plus two from topology for perspective), the reader is guided to an understanding and appreciation of the general concepts and tools unifying these constructions. Topics include: set theory, lattices, category theory, the formulation of universal constructions in category-theoretic terms, varieties of algebras, and adjunctions. A large number of exercises, from the routine to the challenging, interspersed through the text, develop the reader's grasp of the material, exhibit applications of the general theory to diverse areas of algebra, and in some cases point to outstanding open questions. Graduate students and researchers wishing to gain fluency in important mathematical constructions will welcome this carefully motivated book.


Book Synopsis An Invitation to General Algebra and Universal Constructions by : George M. Bergman

Download or read book An Invitation to General Algebra and Universal Constructions written by George M. Bergman and published by Springer. This book was released on 2015-02-05 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rich in examples and intuitive discussions, this book presents General Algebra using the unifying viewpoint of categories and functors. Starting with a survey, in non-category-theoretic terms, of many familiar and not-so-familiar constructions in algebra (plus two from topology for perspective), the reader is guided to an understanding and appreciation of the general concepts and tools unifying these constructions. Topics include: set theory, lattices, category theory, the formulation of universal constructions in category-theoretic terms, varieties of algebras, and adjunctions. A large number of exercises, from the routine to the challenging, interspersed through the text, develop the reader's grasp of the material, exhibit applications of the general theory to diverse areas of algebra, and in some cases point to outstanding open questions. Graduate students and researchers wishing to gain fluency in important mathematical constructions will welcome this carefully motivated book.


Categories, Types, and Structures

Categories, Types, and Structures

Author: Andrea Asperti

Publisher: MIT Press (MA)

Published: 1991

Total Pages: 330

ISBN-13:

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Category theory is a mathematical subject whose importance in several areas of computer science, most notably the semantics of programming languages and the design of programmes using abstract data types, is widely acknowledged. This book introduces category theory at a level appropriate for computer scientists and provides practical examples in the context of programming language design.


Book Synopsis Categories, Types, and Structures by : Andrea Asperti

Download or read book Categories, Types, and Structures written by Andrea Asperti and published by MIT Press (MA). This book was released on 1991 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Category theory is a mathematical subject whose importance in several areas of computer science, most notably the semantics of programming languages and the design of programmes using abstract data types, is widely acknowledged. This book introduces category theory at a level appropriate for computer scientists and provides practical examples in the context of programming language design.


Syntactic Structures

Syntactic Structures

Author: Noam Chomsky

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2020-05-18

Total Pages: 120

ISBN-13: 3112316002

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No detailed description available for "Syntactic Structures".


Book Synopsis Syntactic Structures by : Noam Chomsky

Download or read book Syntactic Structures written by Noam Chomsky and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Syntactic Structures".


The Universal Coefficient Theorem and Quantum Field Theory

The Universal Coefficient Theorem and Quantum Field Theory

Author: Andrei-Tudor Patrascu

Publisher: Springer

Published: 2016-09-23

Total Pages: 270

ISBN-13: 3319461435

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This thesis describes a new connection between algebraic geometry, topology, number theory and quantum field theory. It offers a pedagogical introduction to algebraic topology, allowing readers to rapidly develop basic skills, and it also presents original ideas to inspire new research in the quest for dualities. Its ambitious goal is to construct a method based on the universal coefficient theorem for identifying new dualities connecting different domains of quantum field theory. This thesis opens a new area of research in the domain of non-perturbative physics—one in which the use of different coefficient structures in (co)homology may lead to previously unknown connections between different regimes of quantum field theories. The origin of dualities is an issue in fundamental physics that continues to puzzle the research community with unexpected results like the AdS/CFT duality or the ER-EPR conjecture. This thesis analyzes these observations from a novel and original point of view, mainly based on a fundamental connection between number theory and topology. Beyond its scientific qualities, it also offers a pedagogical introduction to advanced mathematics and its connection with physics. This makes it a valuable resource for students in mathematical physics and researchers wanting to gain insights into (co)homology theories with coefficients or the way in which Grothendieck's work may be connected with physics.


Book Synopsis The Universal Coefficient Theorem and Quantum Field Theory by : Andrei-Tudor Patrascu

Download or read book The Universal Coefficient Theorem and Quantum Field Theory written by Andrei-Tudor Patrascu and published by Springer. This book was released on 2016-09-23 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis describes a new connection between algebraic geometry, topology, number theory and quantum field theory. It offers a pedagogical introduction to algebraic topology, allowing readers to rapidly develop basic skills, and it also presents original ideas to inspire new research in the quest for dualities. Its ambitious goal is to construct a method based on the universal coefficient theorem for identifying new dualities connecting different domains of quantum field theory. This thesis opens a new area of research in the domain of non-perturbative physics—one in which the use of different coefficient structures in (co)homology may lead to previously unknown connections between different regimes of quantum field theories. The origin of dualities is an issue in fundamental physics that continues to puzzle the research community with unexpected results like the AdS/CFT duality or the ER-EPR conjecture. This thesis analyzes these observations from a novel and original point of view, mainly based on a fundamental connection between number theory and topology. Beyond its scientific qualities, it also offers a pedagogical introduction to advanced mathematics and its connection with physics. This makes it a valuable resource for students in mathematical physics and researchers wanting to gain insights into (co)homology theories with coefficients or the way in which Grothendieck's work may be connected with physics.