Abstract
In this historical introduction Capecchi analyses in what manner the relation between mathematics and sociology has changed. Three phases are presented: (a) Paul F. Lazarsfeld’s choices concerning theory, methodology and mathematics as applied to sociological research; (b) the relations between mathematics and sociology from statistical methods to artificial society and social simulation models; and (c) the new possibilities offered to sociology though by artificial neural networks. Then the changes in the methodological problems linked to the relation between mathematics and sociology are analysed together with the changes in the most important paradigm utilized in sociological research namely the paradigm of objectivity; the paradigm of action research/co-research and the paradigm of feminist methodology. At the end of the introduction, some new possible synergies are presented.
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