Alfredo Givigliano Department of Philosophy - University of Calabria alfredo.givigliano@unical.it

1. 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 Models of Knowledge and Models of Data: Social Network Analysis between Mathematical Relations and Social Relations Salerno 30 Novembre 2007 Alfredo Givigliano Department of Philosophy - University of Calabria alfredo.givigliano@unical.it

2. 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

3. Social Relations The Framework Formal Dimension Contextual Dimension Morphological Dimension Ontological Dimension Genesic Dimension Spatial and Temporal Extension Logic Models Constraints Possibilities Inference Dynamical Structures Representations Principles 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.

4. Levels of Reality and Dimensions of Knowledge World of Social Relations Dialogicity Recursion Hologrammaticity Complexity Emergence Processuality Reality Subjects Relations Structures World of Mathematical Relations Ontological Problem Logical Problem

5. Models and Social Networks Model Description of the concept Use of the term Analysis by of Social Networks

6. 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 Models and Social Networks 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

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

8. Borders among Data and Networks inside Relational Data Social Network Analysis Sets of Social Relations in function of borders Constraints Possibilities 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

9. Dimensions, Processes, Spaces Johnson C., Gilles R. P., 2000, Spatial social networks, in “Review of Economic Design”, 5, pp. 273-299. World of Social Relations Subjects Relations Reality Structures Willer R., 2007, The Role of Metanetworks in Network Evolution, in “Journal of Mathematical Sociology”, 31, pp. 101-119. World of Mathematical Relations

10. 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 Models of Knowledge and Models of Data: Social Network Analysis between Mathematical Relations and Social Relations Salerno 30 Novembre 2007 Alfredo Givigliano Department of Philosophy - University of Calabria alfredo.givigliano@unical.it