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The Universal Structure of Categories

Author: Martina Wiltschko

Publisher:

Published: 2014

Total Pages: 356

ISBN-13: 9781316010914

"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

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.

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.

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.

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.

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.

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.

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.

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.

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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