The Universal Structure Of Categories
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The Universal Structure Of Categories
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Author : Martina Wiltschko
language : en
Publisher: Cambridge University Press
Release Date : 2014-07-24
The Universal Structure Of Categories written by Martina Wiltschko 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 2014-07-24 with Language Arts & Disciplines categories.
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 Universal Structure Of Categories
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Author : Martina Wiltschko
language : en
Publisher:
Release Date : 2014
The Universal Structure Of Categories written by Martina Wiltschko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Categorial grammar categories.
"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
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Author : Martina Wiltschko
language : en
Publisher: Cambridge University Press
Release Date : 2022-12-15
The Universal Structure Of Categories written by Martina Wiltschko 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 2022-12-15 with Language Arts & Disciplines categories.
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.
Syntactic Categories
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Author : Gisa Rauh
language : en
Publisher: OUP Oxford
Release Date : 2010-06-03
Syntactic Categories written by Gisa Rauh and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-03 with Language Arts & Disciplines categories.
This book offers a systematic account of syntactic categories - the building blocks of sentences and the units of grammatical analysis - and explains their place in different theories of language. It sets out and clarifies the conflicting definitions of competing frameworks which frequently make it hard or impossible to compare grammars. Gisa Rauh describes the history and nature of traditional and contemporary accounts and definitions of grammatical categories. She explains their properties and use in generative, cognitive, and functional theories, and considers their function in language typology. She distinguishes between the cognitive functions of categories that relate to traditional parts of speech and serve to structure a language's lexicon; and those which determine the syntactic behaviour of the linguistic items they specify. Professor Rauh illustrates her account with a wide range of examples. Her clear and balanced exposition will be welcomed by students and scholars in all branches of linguistics as well as by those in related subjects such as computational science and the philosophy of language.
Universal Semantic Syntax
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Author : Egbert Fortuin
language : en
Publisher: Cambridge University Press
Release Date : 2019-05-09
Universal Semantic Syntax written by Egbert Fortuin 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 2019-05-09 with Language Arts & Disciplines categories.
Offers a comprehensive and accessible introduction to a novel theory of syntax, which analyzes grammar from a semantic perspective.
Category Theory
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Author : Zoran Majkic
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-03-06
Category Theory written by Zoran Majkic 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 2023-03-06 with Computers categories.
This book analyzes the generation of the arrow-categories of a given category, which is a foundational and distinguishable Category Theory phenomena, in analogy to the foundational role of sets in the traditional set-based Mathematics, for defi nition of natural numbers as well. This inductive transformation of a category into the infinite hierarchy of the arrowcategories is extended to the functors and natural transformations. The author considers invariant categorial properties (the symmetries) under such inductive transformations. The book focuses in particular on Global symmetry (invariance of adjunctions) and Internal symmetries between arrows and objects in a category (in analogy to Field Theories like Quantum Mechanics and General Relativity). The second part of the book is dedicated to more advanced applications of Internal symmetry to Computer Science: for Intuitionistic Logic, Untyped Lambda Calculus with Fixpoint Operators, Labeled Transition Systems in Process Algebras and Modal logics as well as Data Integration Theory.
The Universal Coefficient Theorem And Quantum Field Theory
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Author : Andrei-Tudor Patrascu
language : en
Publisher: Springer
Release Date : 2016-09-23
The Universal Coefficient Theorem And Quantum Field Theory written by Andrei-Tudor Patrascu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-23 with Science categories.
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.
Category Mistakes
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Author : Ofra Magidor
language : en
Publisher: Oxford Philosophical Monograph
Release Date : 2013-07-25
Category Mistakes written by Ofra Magidor and has been published by Oxford Philosophical Monograph this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-25 with Language Arts & Disciplines categories.
Category mistakes are sentences such as "Green ideas sleep furiously", "Saturday is in bed", and "The theory of relativity is eating breakfast". Such sentences strike most speakers as highly infelicitous but it is a challenge to explain precisely why they are so. Ofra Magidor addresses this challenge, while providing a comprehensive discussion of the various treatments of category mistakes in both philosophy of language and linguistics. The phenomenon of category mistakes is particularly interesting to both these fields because a plausible case can be (and has been) made for explaining it in terms of syntax, semantics, and pragmatics - making it a fruitful case for exploring the relations between and nature of these three fundamental realms of language. Category Mistakes follows this division. After an introduction which explains the aims and motivations for the project and provides a brief historical survey of the (modern) treatment of category mistakes in each of philosophy, linguistics, and computer science, Magidor discusses four approaches in turn: first, the syntactic approach, which maintains that category mistakes are syntactically ill-formed; then two semantic approaches, though ones that appeal to different semantic facets: the meaninglessness view, which maintains that category mistakes are meaningless, and the MBT view, according to which category mistakes are meaningful but truth-valueless; and finally the pragmatic approach, according to which category mistakes are syntactically well-formed, meaningful, truth-valued but nevertheless pragmatically inappropriate. Magidor argues that the first three approaches ought to be rejected, and in the final chapter addresses the main challenge by developing and defending a particular version of the pragmatic approach: a presuppositional account of category mistakes.
Homotopy Theory Of Higher Categories
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Author : Carlos Simpson
language : en
Publisher: Cambridge University Press
Release Date : 2011-10-20
Homotopy Theory Of Higher Categories written by Carlos Simpson 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 2011-10-20 with Mathematics categories.
The study of higher categories is attracting growing interest for its many applications in topology, algebraic geometry, mathematical physics and category theory. In this highly readable book, Carlos Simpson develops a full set of homotopical algebra techniques and proposes a working theory of higher categories. Starting with a cohesive overview of the many different approaches currently used by researchers, the author proceeds with a detailed exposition of one of the most widely used techniques: the construction of a Cartesian Quillen model structure for higher categories. The fully iterative construction applies to enrichment over any Cartesian model category, and yields model categories for weakly associative n-categories and Segal n-categories. A corollary is the construction of higher functor categories which fit together to form the (n+1)-category of n-categories. The approach uses Tamsamani's definition based on Segal's ideas, iterated as in Pelissier's thesis using modern techniques due to Barwick, Bergner, Lurie and others.
The Road To Universal Logic
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Author : Arnold Koslow
language : en
Publisher: Springer
Release Date : 2014-10-10
The Road To Universal Logic written by Arnold Koslow and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-10 with Mathematics categories.
This is the first volume of a collection of papers in honor of the fiftieth birthday of Jean-Yves Béziau. These 25 papers have been written by internationally distinguished logicians, mathematicians, computer scientists, linguists and philosophers, including Arnon Avron, John Corcoran, Wilfrid Hodges, Laurence Horn, Lloyd Humbertsone, Dale Jacquette, David Makinson, Stephen Read, and Jan Woleński. It is a state-of-the-art source of cutting-edge studies in the new interdisciplinary field of universal logic. The papers touch upon a wide range of topics including combination of logic, non-classical logic, square and other geometrical figures of opposition, categorical logic, set theory, foundation of logic, philosophy and history of logic (Aristotle, Avicenna, Buridan, Schröder, MacColl). This book offers new perspectives and challenges in the study of logic and will be of interest to all students and researchers interested the nature and future of logic.