21. Thom (René) Translate this page René thom. (1923 - ). Mathématicien français. Doctorat en mathématiques en 1951, médaille Fields en 1958 pour ses travaux sur le « cobordisme », il s’oppose http://www.philo5.com/Les vrais penseurs/04 - Rene Thom.htm

René Thom Mathématicien français Doctorat en mathématiques en 1951, médaille Fields en 1958 pour ses travaux sur le « cobordisme », il s’oppose par la suite à cette conception formaliste des mathématiques. Au cours des années soixante, élabore la «théorie des catastrophes» (au sens de différence). Il s’agit là, selon ses termes, d’une théorie herméneutique qui s’efforce, face à n’importe quelle donnée expérimentale, de construire l’objet mathématique le plus simple qui puisse l’engendrer. Il s’élève vigoureusement contre l’importance grandissante donnée au hasard dans l’étude des phénomènes et la recherche des causalités. La théorie des catastrophes : tout est prévisible, même les catastrophes La science est en panne depuis 25 ans. Chaque savant travaille dans un camp qu’il a choisi en fonction de l’idée qu’il se fait, à priori , du monde et de lui-même. Prétendre que la matière ou la vie sont les produits du hasard, c’est se glorifier de son incompréhension, accepter que le monde ne soit pas intelligible. Il existe certainement des causes déterministes, mais nous ne les connaissons pas encore. L’attitude défaitiste des partisans du chaos coïncide avec une certaine stagnation du progrès scientifique ; les bénéfices du progrès s’épuisent. Ils ont cessé d’être significatifs, du moins à l’échelle de l’individu. Les biologistes sont fascinés comme des enfants par leurs instruments d’observation : «Ils se sont arrêtés de penser». Là où il n’y a pas de réflexion théorique, la science n’est plus qu’une collection d’archives, un «cimetière de faits», rebelle à toute synthèse. Dans l’histoire des sciences, c’est l’invention

22. MathNet-Fields Medals A quest for the intelligible With a preface by René thom. With a foreword by René thom. AddisonWesley Publishing Company, Advanced Book Program, http://www.mathnet.or.kr/API/?MIval=people_fields_detail&ln=Rene Thom

23. Analog-Digital Bibliography — CLC Plone thom, rene, Modeles mathematiques de la morphogenese, Inedit, 1974. thom, rene, Structural Stability and Morphogenesis An Outline of a General Theory http://www.as.wvu.edu:8000/clc/projects/plaintext_tools/AnalogDigitalBibliograph

Skip to content. Small Text Normal Text Large Text Search CLC Plone Sections Home News Members Projects ... About Personal tools You are not logged in Log in Join You are here: Home Projects Plaintext Tools Analog-Digital Bibliography Views View History Backlinks Actions Wiki contents Wiki changes Search this wiki FrontPage Analog-Digital Bibliography Document Actions last edited 4 months ago by sbaldwin Short bibliography on analytical/digital thinking vis-a-vis semiotics. Most of this material is fairly old; use with care! The concepts are there, hovering in the background, however. Barthes, Roland, Elements of Semiology , Noonday, 1967. As with S/Z a literary semiotics, not so useful epistemologically, but phenomenologically of great value. Barthes, Roland

24. A QUICK LOOK AT RENE THOM THROUGH MY EYES AS INFLUENCED BY ROSEN AND OTHERS A QUICK LOOK AT rene thom THROUGH MY EYES AS INFLUENCED BY ROSEN AND OTHERS. Don Mikulecky. In “Essays on Life Itself” Robert Rosen devotes an entire http://www.vcu.edu/complex/thomros.htm

A QUICK LOOK AT RENE THOM THROUGH MY EYES AS INFLUENCED BY ROSEN AND OTHERS Don Mikulecky In “Essays on Life Itself” Robert Rosen devotes an entire chapter to Thom’s work. The subheadings in that chapter span the contributions of Thom which Rosen sees as going beyond the classification theorem which stands on its own. On Theory In Biology This is a snapshot of the history of the rift between empiricists and theoreticians and the idea that only through experiment can one learn. M The conclusion of this section says “on the other hand, there is only one reason to do either science or mathematics, and that is to understand what is going on.” It seems then that we might best ask what Thom did to increase our understanding. On Information. Here he explains that he uses information in a semantic sense, not the sense that Shannon did which was purely syntactic. Thus, here information is found in answers to “why?”. That of course Rosen answers with Aristotelian causes. He then identifies Thom’s contribution of the notion of genericity with the notion of surrogacy which is how he deals with the artificial lifers and intelligencers. The bottom line is the recognition of a necessary semantic component to objectivity.

25. Short Bibliography On Analytical/digital Thinking Vis-a-vis Se thom, rene, Modeles mathematiques de la morphogenese, Inedit, 1974. thom, rene, Structural Stability and Morphogenesis An Outline of a Gener al Theory http://www.mail-archive.com/nettime-l@bbs.thing.net/msg02618.html

nettime-l Thread Date Find Alan Sondheim Thu, 24 Mar 2005 19:40:43 -0800 http://www.nettime.org contact: nettime@bbs.thing.net Alan Sondheim Reply via email to

26. The Geomblog: Rene Thom And Dali rene thom and Dali. It s been many days since I posted anything of consequence, Topological Abduction of Europe Homage to rene thom, 1983 http://geomblog.blogspot.com/2005/05/rene-thom-and-dali.html

@import url("http://www.blogger.com/css/blog_controls.css"); @import url("http://www.blogger.com/dyn-css/authorization.css?blogID=6555947"); @import url(http://www.blogger.com/css/navbar/main.css); @import url(http://www.blogger.com/css/navbar/3.css); BlogThis! The Geomblog Ruminations on computational geometry, algorithms, theoretical computer science and life Sunday, May 01, 2005 Rene Thom and Dali It's been many days since I posted anything of consequence, and I am still trying to prove that /time spent blogging/ + /time spent on research/ is not a constant. Oh well... I finally got done with a slew of deadlines, and took a trip over to the Philadelphia Museum of Art to see the ongoing Dali exhibit . I'll leave an art critique to the experts; it was refreshing and rather bizarre, all in the same breath. Dali had this knack of absorbing the prevailing trends of the time and then expressing them in his work in a vivid way. He did this with Freudian theory, and with quantum theory (or more precisely with the idea that matter is indivisible). His last painting was called ' Swallow's Tail ', and is yet another example of his ability to transform ideas into art. In this case, the ideas came from topology, and specifically from

27. René Thom | Economist.com Fields Medal Klaus Breslau Germany 32 1958 thom, rene Montbeliard France 35 1962 Hormander Klaus University of London UK 1958 thom, rene University of Strasbourg http://www.economist.com/people/displayStory.cfm?story_id=1441693

28. NATURE OF ORDER thom, rene. Stabilite Structurelle et Morphogenese. 1972. Penrose, Roger. thom, rene. Structural Stability and Morphogenesis. 1975 http://www.natureoforder.com/teachers/neis/bibliography.htm

NATURE OF ORDER Bibliography to Book One Preface Arnheim, Rudolph. Entropy and Art. CED B105.07.A7 Arnheim, Rudolph. The Power of the Center. CED N7430.A69 Bunde, Armin, and Schlomo Havlin, eds. Fractals and Disordered Systems. 1991 Chomsky, Noam. Structural Linguistics. Dijksterhuis, E.J. The Mechanization of the World Picture. Main Q125.D432 Feynman, Richard. QED. Gleick, James. Chaos: Making a New Science. Moffitt Q172.5.C45.G54 Kepes, Gyorgy. The New Landscape in Art and Architecture. Koyre, Alexander. From the Closed World to the Infinite Universe. CED BD511.K67 Thom, Rene. Stabilite Structurelle et Morphogenese. Penrose, Roger. The Emperor’s New Mind. Moffitt BF311.P46 Waddington, C.H. Prologema to Theoretical Biology. Waddington, C.H. The Strategy of the Genes: A Discussion of Some Aspects of Theoretical Biology. Waddington, C.H., ed. Towards a Theoretical Biology: 2 Sketches. Whyte, L.L. Accent on Form. CED BD648.W47 Whyte, L.L. Aspects of Form. CED BD648.W48 Whyte, L.L. Internal Factors in Evolution. Whyte, L.L. The Unitary Principle in Physics and Biology. N/A Chapter 2: The Phenomenon of Life.

29. Rene Thom - Comment - Times Online René thom was the cofounder (with Hassler Whitney) of the two new mathematical fields of differential topology and singularity theory. http://www.timesonline.co.uk/article/0,,60-480599,00.html

30. Westview Books rene thom. René thom, professor at IHES, Buressur-Yvette since 1963, he was born in Montbéliard, France on September 2, 1923. Professor thom studied at the http://www.perseusbooksgroup.com/westview/author_detail.jsp?id=1000017992

31. Basic Library List-Applications To Life Sciences thom, rene. Structural Stability and Morphogenesis An Outline of a thom, rene. Mathematical Models of Morphogenesis New York, NY Halsted Press, 1983. http://www.maa.org/BLL/aplllife.htm

Applications to Life Sciences Back to Table of Contents Appl. to Life Sciences: General Batschelet, Edward. Introduction to Mathematics for Life Sciences, New York, NY: Springer-Verlag, 1976. Second Edition. * Berg, H.C. Random Walks in Biology Princeton, NJ: Princeton University Press, 1983. Burton, T.A., ed. Modeling and Differential Equations in Biology New York, NY: Marcel Dekker, 1980. ** Casti, John L. Alternate Realities: Mathematical Models of Nature and Man New York, NY: John Wiley, 1989. Cook, Theodore A. The Curves of Life Mineola, NY: Dover, 1979. * Cullen, Michael R. Mathematics for the Biosciences Boston, MA: Prindle, Weber and Schmidt, 1983. *** Edelstein-Keshet, Leah. Mathematical Models in Biology Cambridge, MA: Random House, 1988. Goel, Narenda S. and Richter-Dyn, Nira. Stochastic Models in Biology New York, NY: Academic Press, 1974. ** Levin, Simon A., ed. Studies in Mathematical Biology, Washington, DC: Mathematical Association of America, 1978. 2 Vols. * Lotka, A.J. Elements of Mathematical Biology Mineola, NY: Dover, 1956.

32. The New York Review Of Books: Rene Thom Bibliography of books and articles by rene thom, from The New York Review of Books. http://www.nybooks.com/authors/4252

@import "/css/default.css"; Home Your account Current issue Archives ... NYR Books Rene Thom From the Review January 24, 1980 THE FLYING UNIVERSITY Home Your account Current issue ... NYR Books with any questions about this site. The cover date of the next issue of The New York Review of Books will be October 6, 2005.

33. Rene Thom Obituary rene thom obituary. Fernando Cukierman fcukier@mate.dm.uba.ar Fri, 15 Nov 2002 190928 0400. Previous message Conferencia Prof. http://mate.dm.uba.ar/pipermail/seminarios/2002-November/000017.html

Rene Thom obituary Fernando Cukierman fcukier@mate.dm.uba.ar Fri, 15 Nov 2002 19:09:28 -0400 Previous message: Conferencia Prof.James Robins Next message: Seminario de Algebra Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] Previous message: Conferencia Prof.James Robins Next message: Seminario de Algebra Messages sorted by: [ date ] [ thread ] [ subject ] [ author ]

34. CATALOG A thom, rene Convorbiri cu Le monde . Intrebari pentru sfirsit de mileniu / Prigogine, Ilya ; thom, rene ; Baroja, Julio Caro ; Baudrillard, http://www.ong.ro/ong/biblioteca-gds/catalogt.htm

BIBLIOTECA G.D.S. CATALOG T TACITUS, CORNELIUS Anale / Tacitus, Cornelius.- Bucuresti : Humanitas, 1995.- 466.- COTA: Z906 INDEX:/Istorie//Imperiul Roman/ TANAKA, HIDEO The Japanese legal system / Tanaka, Hideo ; Smith, Malcolm.- COTA: E245 INDEX:/drept//drept constitutional//drept japonez/ TARANGUL, MARIN Intrarea in infinit sau dimensiunea Eminescu / Tarangul, Marin.- Bucuresti : Humanitas, 19940724.- 140.- COTA: Z506 INDEX:/Literatura//Eminescu, Mihai//Critica literara/ Predici profane / Tarangul, Marin.- Bucuresti : Humanitas, 1997.- 181 .- COTA: Z260 INDEX:/filozofie//inteligenta//archimia//moartea/ TATU, MICHEL Le pouvoir en U.R.S.S. de declin de Khrouchtcev a la directon collective / Tatu, Michel.- COTA: A117 INDEX:/Politologie//U.R.S.S.//Hrusciov/ TAYLOR, A.J.P. The origin of the second world war / Taylor, A.J.P..- COTA: H146 INDEX:/istorie//istorie al II-lea razboi mondial/ TAYLOR, GEORGE PRATIQUE DE LA DECISION ECONOMIQUE DANS L'ENTREPRISE / TAYLOR, GEORGE .- 1974.- 352.- COTA: B153 INDEX:/ECONOMIE//MANAGEMENT//DECIZIE ECONOMICA//PREVIZIUNE ECONOMICA//CONDUCERE/ TEMPEL, KARL

35. CATALOG A thom, rene ; Baroja, Julio Caro ; Baudrillard, Jean ; Duby, Georges ; Elias, Norbert ; Favret-Saada, Jeanne ; http://www.ong.ro/ong/biblioteca-gds/catalogf.htm

BIBLIOTECA G.D.S. CATALOG F FAGNANI, FRANCIS La croissance des depenses de sante / Levy, Emile ; Bungener, Martine; Dumenil, Gerard ; Fagnani, Francis.- COTA: C101 INDEX:/finante//finante sanatate/ FAHY, JEAN-MICHEL Le chomage en France / Fahy, Jean-Michel.- Franta : Presses Universitaires de France, 1975.- 125.- COTA: B416 INDEX:/administratie//economie//somaj//piata muncii//partide/ FALUDY, GYORGY POKOLBELI VIG NAPJAIM / FALUDY, GYORGY.- 1989.- 463.- 963-7815-00-7 COTA: T187 INDEX:/LITERATURA/ GEOGRAPHICAL TERMS: /UNGARIA/ FANACHI, PIERRE La justice administrative / Fanachi, Pierre.- COTA: E120 INDEX:/drept//drept administrativ/ FARCAS, DAN D. SINERGETICA GINDIRII / FARCAS, DAN D..- BUCURESTI : ALL, 1994.- 179.- COTA: V122 INDEX:/FILOZOFIE//STIINTA PLURALISTA/ FARJAT, JEAN DROIT ECONOMIQUE / FARJAT, JEAN.- COTA: E064 INDEX:/DREPT//DREPT ECONOMIC//DREPTUL AFACERILOR/ FARNSWORT, ALLAN Introduction to the legal system of the United States of America / Farnswort, Allan.- COTA: E217 INDEX:/drept//drept SUA//drept constitutional/ FAURE, ROBERT

36. Thom Biography of René thom. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Thom.html

Born: Died: 25 Oct 2002 in Bures-sur-Yvette, France Click the picture above to see four larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing is known for his development of catastrophe theory, a mathematical treatment of continuous action producing a discontinuous result. The surprising warmth with which we were welcomed there, all those people offering food and drink at the roadside, still fills me with emotion. ... successful but not brilliantly so Henri Cartan ... the last year, after the 'victory', was a year of opening, bringing with it the impression of once more living life to the full. Of this rebirth I can recall a sensation of freedom that I found hard to control. Henri Cartan . There he was influenced by others including Ehresmann and Koszul. His doctorate, supervised by Henri Cartan , was awarded in 1951 for a thesis entitled Fibre spaces in spheres and Steenrod squares. The work of the thesis was carried out in Strasbourg but Thom presented it to Paris. The foundations of the theory of cobordism, for which Thom later received a Fields Medal , already appear in his doctoral thesis.

37. Poster Of Thom René thom is known for his development of catastrophe theory, a mathematical treatment of continuous action producing a discontinuous result. http://www-groups.dcs.st-and.ac.uk/~history/Posters2/Thom.html

was born in 1923 is known for his development of catastrophe theory, a mathematical treatment of continuous action producing a discontinuous result. Find out more at http://www-history.mcs.st-andrews.ac.uk/history/ Mathematicians/Thom.html

38. René Thom: Biography And Much More From Answers.com thom, René b. Monbéliard, France, September 2, 1923, d. Buressure-Yvette, France, October 25, 2002 thom won the Fields Medal, mathematics http://www.answers.com/topic/ren-thom

showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Scientist Wikipedia Mentioned In Or search: - The Web - Images - News - Blogs - Shopping Ren© Thom Scientist Thom, Ren© [b. Monb©liard, France, September 2, 1923, d. Bures-sure-Yvette, France, October 25, 2002] Thom won the Fields Medal, mathematics' equivalent to the Nobel Prize, in 1958 for advances in geometry, but his true career was just beginning. After defining mathematically for the first time what it means for a statement to be true in general (not necessarily proved to be always true, however), he and his followers analyzed the ways that a general truth could fail, which came to be called catastrophe theory. The study of such failures, called catastrophes or singularities, has become an essential part of modern mathematics, physics, and mathematical biology, and is one of the elements of the better-known chaos theory. Wikipedia Ren© Thom This entry is from Wikipedia, the leading user-contributed encyclopedia. It may not have been reviewed by professional editors (see Mentioned In Ren© Thom is mentioned in the following topics: Montb©liard gradient conjecture Institut des Hautes ‰tudes Scientifiques Thom space ... systems theory Scientist biography of Ren© Thom History of Science and Technology Houghton Mifflin Company More from Scientist Wikipedia information about Ren© Thom This article is licensed under the GNU Free Documentation License . It uses material from the Wikipedia article "Ren© Thom" More from

39. MSN Encarta - Thom, René Frédéric thom, René Frédéric, born in 1923, French mathematician, born in Montbélard. Other Features from Encarta. Search Encarta for thom, René Frédéric http://encarta.msn.com/encyclopedia_761580363/Thom_René_Frédéric.html

MSN Home My MSN Hotmail Shopping ... Sign In Web Search: Encarta Subscriber Sign In Help Home ... Upgrade your Encarta Experience Search Encarta Subscription Article MSN Encarta Premium: Get this article, plus 60,000 other articles, an interactive atlas, dictionaries, thesaurus, articles from 100 leading magazines, homework tools, daily math help and more for $4.95/month or $29.95/year (plus applicable taxes.) Learn more. This article is exclusively available for MSN Encarta Premium Subscribers. Already a subscriber? Sign in above. Thom, Ren© Fr©d©ric Thom, Ren© Fr©d©ric , born in 1923, French mathematician, born in Montb©lard. After studying at the ‰cole Normale Sup©rieure in Paris, and teaching at... Sidebars SCIENTIFIC DISCOVERIES Complexity: A New Focus for Science Want more Encarta? Become a subscriber today and gain access to: Daily Math Help Literature Guides Researcher Tools Paper-Writing Guides 60,000 + articles Interactive Atlas Magazine Center Find more about Thom, Ren© Fr©d©ric from Other Features from Encarta Search Encarta for Thom, Ren© Fr©d©ric

40. Thom, René thom, René (1923) thom was born in Montbéliard in the Vosges and studied in Paris at the Ecole Normale Supérieure. He was professor at Strasbourg http://www.cartage.org.lb/en/themes/Biographies/MainBiographies/T/Thom/1.html

French mathematician who developed catastrophe theory in 1966. He is a specialist in the fields of differentiable manifolds and topology. Thom formulated a precise series associated with 'space spherical bundles' and demonstrated that the fundamental class of open spherical bundles showed topological invariance and formed a differential geometry. In his work on the theory of forms Thom showed that there are complete homological classes that cannot be the representation of any differential form, and formulated auxiliary spaces, now known as Thom spaces. In 1956, Thom developed the theory of transversality, and contributed to the examination of singularities of smooth maps. This work laid the ground for his statement of the catastrophe theory, which is, in fact, a model, not yet an explanation. He proposed seven 'elementary catastrophes', which he hoped would be sufficient to describe processes within human experience of space-time dimensions. The seven elementary catastrophes are the fold, cusp, swallow-tail, butterfly, hyperbolic, elliptic, and parabolic. Of these, the cusp is both the simplest and the most useful.

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