Models of Knowledge and Models of Data: Social Network Analysis between Mathematical Relations and Social Relations Alfredo Givigliano Department of Philosophy - University of Calabria 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

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 Social Relations Formal Dimension Contextual Dimension Morphological Dimension Ontological Dimension Genesic Dimension LogicModelsConstraintsPossibilities Spatial and Temporal Extension Inference RepresentationsPrinciples Dynamical Structures 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 , p. 87.

Levels of Reality and Dimensions of Knowledge World of Social Relations World of Mathematical Relations Reality Complexity Emergence Processuality RecursionHologrammaticityDialogicity SubjectsRelations Structures Ontological ProblemLogical Problem

Models and Social Networks Model Description of the conceptUse of the term Analysis Social Networks byof

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 Model / Reality AnalogicalDiagrammaticalMathematical Real determination of social processes Social Meaning Subjects in the Social Space Sets of Positions in constructing of

Languages, Data, Relations Sociology Social Relations Become Mathematical Relations Sociological Theory SociologyMathematics Mathematical Theory Sociological Theory Mathematical Relations co-determine Social Relations explicite the rapports in represented as

Borders among Data and Networks Relational DataSocial Network Analysis in function of borders inside ConstraintsPossibilities Sets of Social Relations Lamont M., Molnár V., 2002, The Study of Boundaries in the Social Sciences, in Ann. Rev. Sociol., 28, pp Symbolic BoundariesSocial Boundaries

Dimensions, Processes, Spaces World of Social Relations World of Mathematical Relations Reality SubjectsRelations Structures Willer R., 2007, The Role of Metanetworks in Network Evolution, in Journal of Mathematical Sociology, 31, pp Johnson C., Gilles R. P., 2000, Spatial social networks, in Review of Economic Design, 5, pp

Models of Knowledge and Models of Data: Social Network Analysis between Mathematical Relations and Social Relations Alfredo Givigliano Department of Philosophy - University of Calabria 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