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Title From categories to categorization
Author BOLDINI Pascal
Keywords Categorization, Category, Internal logic, Piaget (Jean), Sketch, Toposes
Topic None
Abstract This tribute is the opportunity for a melancholic return to topics with which we were occupied, Jean-Pierre Barthélemy and myself, during the 90’s at Télécom Bretagne. It is hardly surprising that we focused on the relationship between natural categories and logic, given that Jean-Pierre was trained within the French school of category theory, and that his first papers belonged to the growing field of categorical logic. Analysing the research pursued under his benevolent direction, I will trace the influence of this specific approach to logic and structures.
Number 197, Spring 2012, special issue: Categories, classification, complexity, consensus ... Around Jean-Pierre Barthélemy's works
Language   French
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Title A comparative study of social choices: factors responsible of doping in sport
Author DUGAS Eric
Keywords Borda's protocol, Condorcet's protocol, External logic, Internal logic, Sport doping
Topic None
Abstract A shroud of mystery surrounds the phenomena generating sport doping. The purpose of this inquiry is to determine, from five suggestions, the causes of doping by 100 sportsmen and 100 untrained participants and to define if these perceived reasons are unequivocal or confused. For this investigation, Condorcet's and Borda's protocols are performed, ranging these causes according preference orders. Our results reveal a convergence between sportsmen and untrained participants as well as for men and women. Perceived causes put at the first place the external logic (the sports institution and its organization) and while in background the internal logic of sport practice and sportsmen.
Number 194, Summer 2011
Language   French
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Title Mathematical models, outdoor games and the social sciences
Author PARLEBAS Pierre
Keywords Interactive system, Internal logic, Mathematical model, Paradoxical game, Ritual, Sport, Traditional game
Topic None
Abstract Outdoor games embody physical activities with a social impact, capable of highlighting the norms and values of their cultural sphere of influence. A mathematical model of their content reveals universal values, whose internal logic can be expressed through graphs and matrices. Thus, in a measurable and often striking way, a cultural outlook, of which outdoor games are in part a reflection, is highlighted. The contrast between rituals and outdoor games as suggested by Claude Lévi-Strauss is challenged here, in favour of a different contrast between games and sports. Traditional games cannot be consistently put in the same category as «zero sum games», as in the case of sport; they may assume very different sorts of «non-zero sum» internal logic, in particular epitomised by competitive (and not exclusive) games, and through paradoxical games.
Number 191, Fall 2010, special issue: Variability and inequalities
Language   French
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Title Sporting practices and sociability
Author LAPORTE Renaud
Keywords Factorial analysis, Internal logic, Sociability, Sport
Topics Data Analysis, Social Psychology, Sports
Abstract This study uses factorial analysis to investigate the sociability of sportsmen in different fields and to check whether a person's general level of sociability corresponds to the social profile of his (or her) sport. Are team players more sociable than solitary sportsmen ? Each individual's level of sociability is assessed by analysing how often he goes out and/or attends social gatherings, using factorial analysis. A graph of these two prime behavioural elements provides a pictorial representation of any given sportsman's statusIt seems that the presence or absence of a partner or adversary correlates poorly with a sportsman's level of sociability. Surprisingly, the milieu in which the sport is practised does appear to be a discriminatory factor. It emerges that out-door sportsmen are more sociable than those who practise their sport indoors.
Number 170, Spring 2005, special issue: Mathematics, sport games, sociology
Language   French
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Title Elementary mathematisation of the action in sport games
Author PARLEBAS Pierre
Keywords Games graph, Internal logic, Modelling, Motor action, Sociomotor role, sporting game, Transition graph
Topics Decision Theory, Game Theory, Graphs, Modelling, Social Psychology, Sports
Abstract The aim of this article is to show that the analysis of players' motor action can be formalized mathematically, particularly with the help of graphs and matrixes. A traditional game, la Galine, is chosen as the common theme to illustrate in practical terms the concepts and options successively put forward. The motor logic or internal logic of the game, gives objective indicators relative to space, objects, time and others, which allow us to identify sociomotor roles precisely. Sociomotors roles can be organized in a transition graph which illustrates the players' potential choices. The same reasoning is used to draw graphs of sociomotor sub-roles' changes. One can deduct game graphs and players' decision trees. This approach is generalized and a classification of games based upon the morphology of their sociomotor roles network, is put forward. The main idea is to convert the pertinent ludomotor characteristics in a graph structure, and to exploit this graph's elementary but exact mathematical properties, for psychological and sociological interpretations.
Number 170, Spring 2005, special issue: Mathematics, sport games, sociology
Language   French
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