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Author: Wolfgang Wildgen Publisher: John Benjamins Publishing ISBN: 9027225257 Category : Language Arts & Disciplines Languages : en Pages : 129
Book Description
René Thom, the famous French mathematician and founder of catastrophe theory, considered linguistics an exemplary field for the application of his general morphology. It is surprising that physicists, chemists, biologists, psychologists and sociologists are all engaged in the field of catastrophe theory, but that there has been almost no echo from linguistics. Meanwhile linguistics has evolved in the direction of René Thom's intuitions about an integrated science of language and it has become a necessary task to review, update and elaborate the proposals made by Thom and to embed them in the framework of modern semantic theory.
Author: Wolfgang Wildgen Publisher: John Benjamins Publishing ISBN: 9027280606 Category : Language Arts & Disciplines Languages : en Pages : 130
Book Description
René Thom, the famous French mathematician and founder of catastrophe theory, considered linguistics an exemplary field for the application of his general morphology. It is surprising that physicists, chemists, biologists, psychologists and sociologists are all engaged in the field of catastrophe theory, but that there has been almost no echo from linguistics. Meanwhile linguistics has evolved in the direction of René Thom’s intuitions about an integrated science of language and it has become a necessary task to review, update and elaborate the proposals made by Thom and to embed them in the framework of modern semantic theory.
Author: Wolfgang Wildgen Publisher: John Benjamins Publishing ISBN: 9027225257 Category : Language Arts & Disciplines Languages : en Pages : 129
Book Description
René Thom, the famous French mathematician and founder of catastrophe theory, considered linguistics an exemplary field for the application of his general morphology. It is surprising that physicists, chemists, biologists, psychologists and sociologists are all engaged in the field of catastrophe theory, but that there has been almost no echo from linguistics. Meanwhile linguistics has evolved in the direction of René Thom's intuitions about an integrated science of language and it has become a necessary task to review, update and elaborate the proposals made by Thom and to embed them in the framework of modern semantic theory.
Author: Domencio Castrigiano Publisher: CRC Press ISBN: 0429970358 Category : Mathematics Languages : en Pages : 281
Book Description
Catastrophe Theory was introduced in the 1960s by the renowned Fields Medal mathematician René Thom as a part of the general theory of local singularities. Since then it has found applications across many areas, including biology, economics, and chemical kinetics. By investigating the phenomena of bifurcation and chaos, Catastrophe Theory proved to
Author: Alberto Peruzzi Publisher: Springer Nature ISBN: 3030518213 Category : Philosophy Languages : en Pages : 191
Book Description
This book reports on cutting-edge concepts related to Bourbaki’s notion of structures mères. It merges perspectives from logic, philosophy, linguistics and cognitive science, suggesting how they can be combined with Bourbaki’s mathematical structuralism in order to solve foundational, ontological and epistemological problems using a novel category-theoretic approach. By offering a comprehensive account of Bourbaki’s structuralism and answers to several important questions that have arisen in connection with it, the book provides readers with a unique source of information and inspiration for future research on this topic.
Author: V. I. Arnol'd Publisher: Springer Science & Business Media ISBN: 364296799X Category : Mathematics Languages : en Pages : 91
Book Description
Singularity theory is growing very fast and many new results have been discovered since the Russian edition appeared: for instance the relation of the icosahedron to the problem of by passing a generic obstacle. The reader can find more details about this in the articles "Singularities of ray systems" and "Singularities in the calculus of variations" listed in the bi bliography of the present edition. Moscow, September 1983 v. I. Arnold Preface to the Russian Edition "Experts discuss forecasting disasters" said a New York Times report on catastrophe theory in November 1977. The London Times declared Catastrophe Theory to be the "main intellectual movement of the century" while an article on catastrophe theory in Science was headed "The emperor has no clothes". This booklet explains what catastrophe theory is about and why it arouses such controversy. It also contains non-con troversial results from the mathematical theories of singulari ties and bifurcation. The author has tried to explain the essence of the fundamen tal results and applications to readers having minimal mathe matical background but the reader is assumed to have an in quiring mind. Moscow 1981 v. I. Arnold Contents Chapter 1. Singularities, Bifurcations, and Catastrophe Theories ............... 1 Chapter 2. Whitney's Singularity Theory ... 3 Chapter 3. Applications of Whitney's Theory 7 Chapter 4. A Catastrophe Machine ...... 10 Chapter 5. Bifurcations of Equilibrium States 14 Chapter 6. Loss of Stability of Equilibrium and the Generation of Auto-Oscillations . . . . . . 20 .
Author: Peter Timothy Saunders Publisher: Cambridge University Press ISBN: 9780521297820 Category : Mathematics Languages : en Pages : 162
Book Description
An introduction to catastrophe theory, a mathematical theory which deals with those changes which occur abruptly rather than smoothly. Includes many applications to illustrate the different ways in which catastrophe can be used in life, physical and social sciences.
Author: Vladimir I. Arnol'd Publisher: Springer Science & Business Media ISBN: 3642581242 Category : Mathematics Languages : en Pages : 161
Book Description
The new edition of this non-mathematical review of catastrophe theory contains updated results and many new or expanded topics including delayed loss of stability, shock waves, and interior scattering. Three new sections offer the history of singularity and its applications from da Vinci to today, a discussion of perestroika in terms of the theory of metamorphosis, and a list of 93 problems touching on most of the subject matter in the book.
Author: Wolfgang Wildgen Publisher: John Benjamins Publishing ISBN: 9027282722 Category : Language Arts & Disciplines Languages : en Pages : 295
Book Description
The general topic of this book is the development of a “realistic” model of meaning; it has to account for the ecological basis of meaning in perception, action, and interaction, and is realistic in the sense of “scientific realism”, i.e. it is based on the most successful paradigm of modern science: dynamical systems theory. In Part One a model of sentences is put forward. The first chapter outlines the philosophical background of a theory of meaning. Chapter 2 gives a very short summary of recent proposals for a semantic model which considers image-like schemata. In Chapter 3 a realistic model of valence and basic predication is developed in detail. Chapter 4 treats multistability in meaning and the application of chaos theory and dissipative structures in semantics. Chapter 5 outlines the global framework of a stratified universe of meanings, and Chapter 6 prepares the way for Part Two: the analysis of narrative texts. Oral narratives of personal experience are the prototypical form in which experienced events are organized with the aim of remaking a piece of reality. In Chapter 7 a discrete grammar based on vectorial schemata is developed. Chapters 8 and 9 elaborate the “syntax of narratives” in Chapter 7. Chapter 10 progress to conversational dynamics.
Author: Wolfgang Wildgen
Author: Wolfgang Wildgen
Author: Wolfgang Wildgen
Author: Wolfgang Wildgen
Author: Domencio Castrigiano
Author: Hans J. Eikmeyer
Author: Alberto Peruzzi
Author: V. I. Arnol'd
Author: Peter Timothy Saunders
Author: Vladimir I. Arnol'd
Author: Wolfgang Wildgen