From Cybernetics to Catastrophe Theory
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
Catastrophe Theory
Catastrophe Theory Things that change suddenly, by fits and starts, have long resisted mathematical analysis. A method derived fi-om topology describes these phenomena as examples of seven "elementary catastrophes" by E. C. Zeeman cientists often describe events by con Etudes Scientifique at Bures-sur-Yvette in probable and the dog will most likely flee. structing a mathematical model. In France. He presented his ideas in a book Prediction is also straightforward if neither S deed, when such a model is particular published in 1972, Stabilite Structurelle et stimulus is present; then the dog is likely to ly successful, it is said not only to describe Morphogenese; an English translation by express some neutral kind of behavior unre the events but also to "explain" them; if the David H. Fowler of the University of War lated to either aggression or submission. model can be reduced to a simple equation, wick has recently been published. The the What if the dog is made to feel both rage it may even be called a law of nature. For ory is derived from topology, the branch of and fear simultaneously? The two control 300 years the preeminent method in build mathematics concerned with the properties ling factors are then in direct conflict. Sim ing such models has been the differential of surfaces in many dimensions. Topology ple models that cannot accommodate dis calculus invented by Newton and Leibniz. is involved because the underlying forces in continuity might predict that the two stim Newton himself expressed his laws of mo nature can be described by smooth surfaces uli would cancel each other, leading again tion and gravitation in terms of differential of equilibrium; it is when the equilibrium to neutral behavior. -
Claude Bernard
DOI: 10.1590/0004-282X20130239 HISTORICAL NOTES Claude Bernard: bicentenary of birth and his main contributions to neurology Claude Bernard: bicentenário do nascimento e suas principais contribuições à neurologia Marleide da Mota Gomes1, Eliasz Engelhardt2 ABSTRACT Claude Bernard (1813-1878) followed two main research paths: the chemical and physiological study of digestion and liver function, along with experimental section of nerves and studies on sympathetic nerves. Curare studies were, for example, of longstanding interest. His profound mental creativity and hand skillfulness, besides methodology quality, directed his experiments and findings, mainly at the Collège de France. His broader and epistemological concerns were carried out at the Sorbonne and later at the Muséum national d’Histoire naturelle. His insight gave clues to define the “ milieu intérieur”, later known as “homeostasis”, and grasp the brain complexity. Bernard followed and surpassed his master François Magendie who also fought against dogmas and laid the foundations of experimental medicine, and its main heinous tool – vivisection. Bernard created the methodological bases of experimental medicine, and collected honors as a renowned researcher. Keywords: Claude Bernard, sympathetic nerves, homeosthasis, epistemology, history of neurosciences. RESUMO Em suas pesquisas, Claude Bernard (1813-1878) seguiu dois caminhos principais: o estudo fisiológico e químico da digestão e da função hepática; a seção experimental de nervos e os estudos sobre nervos simpáticos. Estudos sobre curare, por exemplo, foram de interesse duradouro. Suas profundas criatividade mental e habilidade manual, além da qualidade metodológica, conduziram às suas experiências e descobertas, principalmente no Collège de France. Seus interesses sobre temas epistemológicos mais amplos foram conduzidos na Sorbonne e, posteriormente, no Muséum national d’Histoire naturelle. -
The Seduction of Curves by Allan Mcrobie
Journal of Humanistic Mathematics Volume 9 | Issue 2 July 2019 Book Review: The Seduction of Curves by Allan McRobie Hans J. Rindisbacher Pomona College Follow this and additional works at: https://scholarship.claremont.edu/jhm Part of the Arts and Humanities Commons, and the Mathematics Commons Recommended Citation Rindisbacher, H. J. "Book Review: The Seduction of Curves by Allan McRobie," Journal of Humanistic Mathematics, Volume 9 Issue 2 (July 2019), pages 323-328. DOI: 10.5642/jhummath.201902.22 . Available at: https://scholarship.claremont.edu/jhm/vol9/iss2/22 ©2019 by the authors. This work is licensed under a Creative Commons License. JHM is an open access bi-annual journal sponsored by the Claremont Center for the Mathematical Sciences and published by the Claremont Colleges Library | ISSN 2159-8118 | http://scholarship.claremont.edu/jhm/ The editorial staff of JHM works hard to make sure the scholarship disseminated in JHM is accurate and upholds professional ethical guidelines. However the views and opinions expressed in each published manuscript belong exclusively to the individual contributor(s). The publisher and the editors do not endorse or accept responsibility for them. See https://scholarship.claremont.edu/jhm/policies.html for more information. Book Review: The Seduction of Curves by Allan McRobie Hans J. Rindisbacher Department of German and Russian, Pomona College, California, USA [email protected] Synopsis This review emphasizes, as does the compelling and beautiful book, The Se- duction of Curves by Allan McRobie, the \lines of beauty" that link art and mathematics. McRobie and his collaborator on the indispensable visuals of the volume, Helena Weightman, succeed admirably in connecting theoretically and visually the mathematical field of singularity or catastrophe theory and its graph- ical representations on the one hand and the seemingly intersecting lines around the volumes of the human body in the artistic representation of the nude. -
D4d78cb0277361f5ccf9036396b
critical terms for media studies CRITICAL TERMS FOR MEDIA STUDIES Edited by w.j.t. mitchell and mark b.n. hansen the university of chicago press Chicago and London The University of Chicago Press, Chicago 60637 The University of Chicago Press, Ltd., London © 2010 by The University of Chicago All rights reserved. Published 2010 Printed in the United States of America 18 17 16 15 14 13 12 11 10 1 2 3 4 5 isbn- 13: 978- 0- 226- 53254- 7 (cloth) isbn- 10: 0- 226- 53254- 2 (cloth) isbn- 13: 978- 0- 226- 53255- 4 (paper) isbn- 10: 0- 226- 53255- 0 (paper) Library of Congress Cataloging-in-Publication Data Critical terms for media studies / edited by W. J. T. Mitchell and Mark Hansen. p. cm. Includes index. isbn-13: 978-0-226-53254-7 (cloth : alk. paper) isbn-10: 0-226-53254-2 (cloth : alk. paper) isbn-13: 978-0-226-53255-4 (pbk. : alk. paper) isbn-10: 0-226-53255-0 (pbk. : alk. paper) 1. Literature and technology. 2. Art and technology. 3. Technology— Philosophy. 4. Digital media. 5. Mass media. 6. Image (Philosophy). I. Mitchell, W. J. T. (William John Th omas), 1942– II. Hansen, Mark B. N. (Mark Boris Nicola), 1965– pn56.t37c75 2010 302.23—dc22 2009030841 The paper used in this publication meets the minimum requirements of the American National Standard for Information Sciences—Permanence of Paper for Printed Library Materials, ansi z39.48- 1992. Contents Introduction * W. J. T. Mitchell and Mark B. N. Hansen vii aesthetics Art * Johanna Drucker 3 Body * Bernadette Wegenstein 19 Image * W. -
Developmental Reasoning and Planning with Robot Through Enactive Interaction with Human Maxime Petit
Developmental reasoning and planning with robot through enactive interaction with human Maxime Petit To cite this version: Maxime Petit. Developmental reasoning and planning with robot through enactive interaction with human. Automatic. Université Claude Bernard - Lyon I, 2014. English. NNT : 2014LYO10037. tel-01015288 HAL Id: tel-01015288 https://tel.archives-ouvertes.fr/tel-01015288 Submitted on 26 Jun 2014 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. N˚d’ordre 37 - 2014 Année 2013 THESE DE L’UNIVERSITE DE LYON présentée devant L’UNIVERSITE CLAUDE BERNARD LYON 1 Ecole Doctorale Neurosciences et Cognition pour l’obtention du Diplôme de Thèse (arrété du 7 août 2006) Discipline : SCIENCES COGNITIVES Option : INFORMATIQUE présentée et soutenue publiquement le 6 Mars 2014 par Maxime Raisonnement et Planification Développementale d’un Robot via une Interaction Enactive avec un Humain Developmental Reasoning and Planning with Robot through Enactive Interaction with Human dirigée par Peter F. Dominey devant le jury composé de : Pr. Rémi Gervais Président du jury Pr. Giorgio Metta Rapporteur Pr. Philippe Gaussier Rapporteur Pr. Chrystopher Nehaniv Examinateur Dr. Jean-Christophe Baillie Examinateur Dr. Peter Ford Dominey Directeur de thèse 2 Stem-Cell and Brain Research Insti- École doctorale Neurosciences et Cog- tute, INSERM U846 nition (ED 476 - NSCo) 18, avenue Doyen Lepine UCBL - Lyon 1 - Campus de Gerland 6975 Bron Cedex 50, avenue Tony Garnier 69366 Lyon Cedex 07 Pour mon père. -
Bifurcations, Global Change, Tipping Points and All That
TiPES IHP, Paris, Kick-off 16 October 2019 Meeeting Bifurcations, Global Change, Tipping Points and All That Michael Ghil Ecole Normale Supérieure, Paris, and University of California, Los Angeles Please visit these sites for more info. on the talk http://www.atmos.ucla.edu/tcd/, http://www.environnement.ens.fr/, and https://www.researchgate.net/profile/Michael_Ghil SC1/NP1.5: Tipping Points in the Geosciences Michael Ghil, Peter Ditlevsen and Henk Dijkstra NP division, EGU-GA 2012 Wednesday, April 25, 2012 Outline • Intrinsic vs. forced variability – short-, intermediate, & long-term prediction – multiple scales of motion – IPCC & the uncertainties • Time-dependent forcing – pullback and random attractors (PBAs & RAs) – tipping points (TPs) • An illustrative example – the Lorenz convection model with stochastic forcing – LORA – its topological analysis (BraMaH) – “grand unification” = deterministic + stochastic • Conclusions and references – what do we & don’t we know? – selected bibliography Motivation • There’s a lot of talk about “tipping points.” • It sounds threatening, like falling off a cliff: that’s why we care! • But what are they, and what do we know about them? • Here’s a disambiguation page (cf. Wikipedia), first. • Sociology: “the moment of critical mass, the threshold, the boiling point” (Gladwell, 2000); a previously rare phenomenon becomes rapidly and dramatically more common. • Physics: the point at which a system changes from a stable equilibrium into a new, qualitatively dissimilar equilibrium (throwing a switch, tilting a plank, boiling water, etc.). • Climatology: “A climate tipping point is a somewhat ill-defined concept […]”— so we’ll try to actually define it better. • Catastrophe theory: branch of bifurcation theory in the study of dynamical systems; here, a tipping point is “a parameter value at which the set of equilibria abruptly change.” è Let’s see! M. -
Catastrophe Theory and Urban Processes
CATASTROPHE THEORY AND URBAN PROCESSES John Casti and Harry Swain Research Scholars at the International Institute for Applied Systems Analysis Schloss Laxenburg A-2361Laxenburg, Austria Abstract Phenomena exhibiting discontinuous change, divergent processes, and hysteresis can be modelled with catastrophe theory, a recent development in differential topology. Ex- position of the theory is illustrated by qualitative interpretations of the appear- ance of functions in central place systems, and of price cycles for urban housing. Introduction A mathematical theory of "catastrophes" has recently been developed by the French mathematician R6n6 Thom [6,7] in an attempt to rationally account for the phenomenon of discontinuous change in behaviors (out- puts) resulting from continuous change in parameters (inputs) in a given system. The power and scope of Thom's ideas have been exploited by others, notably Zeeman [I0,11], to give a mathematical account of various observed discontinuous phenomena in physics, economics, biology, [4] and psychology. We particularly note the work of Amson [I] on equilibrium models of cities, which is most closely associated with the work presented here. With the notable exception of Amson's work, little use has been made of the powerful tools of catastrophe theory in the study of urban problems. Perhaps this is not surprising since the theory is only now becoming generally known in mathematical circles. However, despite the formidable mathematical appearance of the basic theorems of the theory, the application of catastrophe theory to a given 389 situation is often quite simple, requiring only a modest understanding of simple geometric notions. In this regard, catastrophe theory is much like linear programming in the sense that it is not necessary to understand the mechanism in order to make it work--a fairly typical requirement of the working scientist when faced with a new mathematical tool. -
Claude Bernard JMS Pearce MD, FRCP Emeritus Consultant Neurologist, Department of Neurology, Hull Royal Infirmary, UK
SPECIAL FEATURE – HISTORY OF NEUROLOGY Claude Bernard JMS Pearce MD, FRCP Emeritus Consultant Neurologist, Department of Neurology, Hull Royal Infirmary, UK. “Mais la méthode expérimentale a pour objet de transformer Correspondence to: cette conception a priori fondée sur une intuition..., en une J.M.S. Pearce, 304 Beverley Road Anlaby, East Yorks, HU10 7BG, UK. Email: [email protected] interprétation a posteriori établie sur l’étude expérimentale des phénomènes...” Claude Bernard: Introduction à l’étude de la Conflict of Interest statement: None declared. médecine expérimentale. Date first submitted: 10/7/17 [“But the experimental method aims at transforming this Acceptance date: 11/07/17 a priori conception based on a vague intuition...into an a To cite: Pearce JMS, ACNR 2017;17(2);14-15 posteriori interpretation established on the experimental study of phenomena...”] he name Claude Bernard (1813-1878) lodgings with Charles Lasègue. He studied ings of the liver and showed that not only did it is known across the world to medical under François Magendie (1783-1855) in the secrete bile but was, like the pancreas, an ‘organ T students for the Claude Bernard-Horner’s Hotel Dieu. Magendie, impressed by Bernard’s of internal secretions’ (enzymes) that converted syndrome; but more important are his ground- dissecting skills appointed him in 1841 as labora- glycogen into glucose (glycogenolysis), and breaking works in physiology, particularly tory assistant. could store glucose in the form of glycogen homeostasis. Peter Wise provides an excellent, An ‘arranged marriage’ with the prosperous (glycogenesis).5 detailed account of his life and bibliography.1 Marie Françoise Martin was engineered in 1845 To see whether the release of glucose from Claude Bernard was one of the epoch- by his mentors, Pierre Rayer and Théophile- liver glycogen depended on a neural stimulus making giants of experimental medicine, Jules Pelouze to allow their protégé to develop via the vagus, in a classical experiment in who dominated the nineteenth century. -
The Concept of Functional Differentiation and the Logic of Comparative Functionalism
The Concept of Functional Differentiation and the Logic of Comparative Functionalism A Study in Sociological Theory This thesis is presented by Mitchell James Taylor https://orcid.org/0000-0002-6082-0380 in fulfilment of the requirements for the degree of Doctor of Philosophy January 2020 Graduate School of Humanities and Social Sciences The University of Melbourne Abstract The concept of functional differentiation is one of sociology’s oldest and most lasting analytic tools, having its roots at the very beginning of the modern discipline. Among both classical and contemporary scholars, one sees a pervasive belief that functional differentiation – broadly understood as the process by which functional distinctions emerge between social units, or as the degree to which social units diverge in their functional orientations – is an especially significant construct in the comparative study of social structure. Despite this prominence, the notion of functional differentiation is currently marred by significant ambiguity, with uncertainty surrounding its meaning, purpose, and general utility in the contemporary discipline. Addressing this confusion, this thesis presents an explicative analysis of the functional differentiation construct, tracing its historical development through the work of four major figures in functionalist sociology: Herbert Spencer, Emile Durkheim, Talcott Parsons, and Niklas Luhmann. It evaluates the intellectual foundations on which their particular understandings of functional differentiation rest, delineates points -
6 X 10.Long New.P65
Cambridge University Press 978-0-521-19963-6 - A Cybernetic View of Biological Growth: The Maia Hypothesis Tony Stebbing Excerpt More information 1 Introduction The broadest and most complete definition of Life will be – The continu- ous adjustment of internal relations to external relations. Herbert Spencer The truths of cybernetics are not conditional on their being derived from some other branch of science. Cybernetics has its own foundations. W. Ross Ashby Among the most fertile ideas introduced into biology in recent years are those of cybernetics ... control theory obtrudes everywhere into biology. Peter B. Medawar THE DEVELOPMENT OF BIOLOGICAL CYBERNETICS I watched a kestrel from a building high on the Citadel overlooking Plymouth Sound. It hovered at arms’ length from the window in a stiff breeze, holding its position for long periods so perfectly that one could not detect the slightest movement of its head. To maintain this static hover, its wings beat quickly, varying a little in frequency and angle to adjust to the buffeting breeze, as it watched intently for any move- ment of prey on the ground below. It reminded me of Gerard Manley Hopkins’ lines from his poem The Windhover: ‘how he rung upon the rein of a wimpling wing’. Occasionally the bird sheared away: ‘then off, off forth on swing’; to return again and take up its position as before, as if to dispel any doubts I might still have of its control in the air. ‘The achieve of, the mastery of the thing!’ In the same way our control systems master the continuous variation in the environment in which we live, holding steady a host of different internal processes against the continuous fluctuation of 1 © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-0-521-19963-6 - A Cybernetic View of Biological Growth: The Maia Hypothesis Tony Stebbing Excerpt More information 2 Introduction external change. -
Claude BERNARD (1813 – 1878), the Father of Modern Physiology and Experimental Medicine
Claude BERNARD (1813 – 1878), the father of modern physiology and experimental medicine Vincent Geenen, MD, PhD University of Liege Center of Immunology, Institute of Pathology CHU-B23, B-4000 Liege-Sart Tilman, Belgium Mailing address: Dr Vincent Geenen University of Liege Center of Immunology Institute of Pathology CHU-B23 B-4000 Liege-Sart Tilman Belgium Phone: +32 43 66 25 50 E-mail: [email protected] Key words: Physiology – Experimental medicine – Milieu intérieur – Glycogen – Diabetes The Lesson, by Léon Augustin L’Hermitte. Claude Bernard is surrounded by students, colleagues and préparateurs. To his left and wearing a black cap, his trusty ‘caretaker’, Père Lesage. 1 For a man of science, there is no separate science of medicine or physiology, there is only a science of life. Claude Bernard 1865 Biography Claude Bernard was born on 12 July 1813 in the village of Saint-Julien, in France’s Beaujolais region. He was first educated in the church school of Saint-Julien, then at the Jesuit College in Villefranche-sur-Saone near Lyon. His school performances were not promising, and he moved to the Royal College in Thoissey. He became interested in philosophy, in particular by René Descartes’ emphasis on the quest for truth stimulated by doubt. At that time, his main interests were focused to Romantic writers (Victor Hugo) and painters (Eugene Delacroix), and Victor Hugo’s tragedy ‘Hernani’ was one of his favorites. Claude Bernard himself wrote two pieces, a piece of vaudeville comedy (‘La Rose du Rhône’) and a five-act historical tragedy (‘Arthur de Bretagne’). When searching for an editor in Paris in 1834, one of them advises him to abandon his projects for literature, and Claude Bernard began his medical studies at the Faculty of Medicine of Paris. -
Systems Approach"
INTRODUCTION TO "SYSTEMS APPROACH" Gernot M. R. Winkler U.S. Naval Observatory Washington, D.C. DEFINITION AND OVERVIEW Systems and timekeeping have several "interfaces": First, all systems are subject to processes, or better, processes are the essential aspect of systems. I11 all these processes, time is the one general, abstract parameter which relates the state of these processes to the state of all other systems. Time is. therefore, the universal system parameter (I). Second, since time is the universal system interface, the use of clocks in systems is increasing, commensurate with our increasing demands for precision in systems interfacing. We now distin- guish a class of "time ardered systems" (even though in principle all systems are time ordered) in order to emphasize the precision aspects which necessitate the use of precision clocks (2). Third, all clocks are of necessity systems; systems in which we attempt to repeat the same proc- esses as identically as possible so that we obtain a uniform time scale. Therefore, any system could be used as a clock, albeit, not a very good one, e.g. we ourselves are systems, i.e. clocks, and one can read the time off our faces! For these reasons, since clocks are systems, and are part of systems, a general overlook and intro- duction to the systems approach has been suggested. This appears the more appropriate since some of it, the most critical aspects of the subject, fall somewliat outside the purely engineering frame of mind; the subject is indeed trans-disciplinary. Onc may even be tempted to clai~vthat these most general, but strategically essential aspects of slstems belong to philosopily in its prope sense rather than to any specific technical specialty (3).