Università degli studi di Salerno Facoltà di Lettere e Filosofia Dipartimento di Scienze Economiche e Statistiche Laboratorio di Ricerca e Formazione Avanzata in Statistica ARS ‘07 Analisi delle Reti Sociali: per conoscere uno strumento uno strumento per conoscere Salerno 30 Novembre 2007 Models of Knowledge and Models of Data: Social Network Analysis between Mathematical Relations and Social Relations Alfredo Givigliano Department of Philosophy - University of Calabria [email protected] Steps • The framework • Levels of reality and dimensions of knowledge • Models and Social Networks • Languages, Data, Relations • Borders among data and networks • Dimensions, processes, spaces The Framework Formal Dimension Logic Contextual Dimension Models Representations Social Relations Morphological Dimension Constraints Possibilities Principles Ontological Dimension Spatial and Temporal Extension Dynamical Structures Genesic Dimension Inference Mechanisms Social Networks Givigliano A., 2007, Cerchi, barche, campi. Relazioni sociali e Social Networks Analysis, in Salvini A. (ed.), 2007, Analisi delle reti sociali. Teoria, metodi, applicazioni, Franco Angeli, Milano, pp. 81-118, p. 87. Levels of Reality and Dimensions of Knowledge World of Social Relations Dialogicity Recursion Hologrammaticity Complexity Reality Emergence Processuality Subjects Relations Structures World of Mathematical Relations Ontological Problem Logical Problem Models and Social Networks Model Description of the concept Use of the term Analysis by of Social Networks Models and Social Networks Use of the term • • • • • Normative Figurative Mental Analogical Mathematical Description of the concept • • Mechanic view of the world and of the scientific discourse Model based view of the world and of the scientific discourse Social Networks Social Meaning in constructing Model / Reality Sets of Positions Real determination of social processes of Mathematical Analogical Diagrammatical Subjects in the Social Space Languages, Data, Relations Sociology Mathematics Sociological Theory Social Relations Become represented as Mathematical Relations Mathematics Mathematical Theory Sociology Sociological Theory Mathematical Relations co-determine Social Relations explicite the rapports in Borders among Data and Networks inside Relational Data Sets of Social Relations Social Network Analysis in function of borders Constraints Lamont M., Molnár V., 2002, The Study of Boundaries in the Social Sciences, in “Ann. Rev. Sociol.”, 28, pp. 167-195. Symbolic Boundaries Social Boundaries Possibilities Dimensions, Processes, Spaces World of Social Relations Reality Johnson C., Gilles R. P., 2000, Spatial social networks, in “Review of Economic Design”, 5, pp. 273-299. Subjects Relations Structures World of Mathematical Relations Willer R., 2007, The Role of Metanetworks in Network Evolution, in “Journal of Mathematical Sociology”, 31, pp. 101-119. Università degli studi di Salerno Facoltà di Lettere e Filosofia Dipartimento di Scienze Economiche e Statistiche Laboratorio di Ricerca e Formazione Avanzata in Statistica ARS ‘07 Analisi delle Reti Sociali: per conoscere uno strumento uno strumento per conoscere Salerno 30 Novembre 2007 Models of Knowledge and Models of Data: Social Network Analysis between Mathematical Relations and Social Relations Alfredo Givigliano Department of Philosophy - University of Calabria [email protected]