For the most part, current reflections on the social seem to overemphasize either homogeneity (society/nation-state, modernization/globalization) or heterogeneity (sociality, cosmopolitanism). Against this, here the argument is put forward that it is appropriate to think of the social as consisting of aspects of homogeneity or shared frames of reference and aspects of heterogeneity at the same time. This thought is developed particularly in contrast to normative concepts such as Bauman's sociality—republicanism nexus or Beck and Grande's ideas on European cosmopolitanism. With the help of concepts such as sociation, glocalization and conflict, a basis will be developed for the elaboration of particular socials (e.g. Europe) as a general social theory. This avoids falling into normative traps, which are usually risky when starting out from a historical particularity to explain current and future structures and features of notions such as European society.