This journal documents the most recent proceedings in the field of polysingularity. This term has originally been used mainly byRussian mathematicians to describe a special class of integral equations with multiple simultaneous solutions (Simonenko,1965; Boikov, 2000; Gabdulkhaev, 2005). Integral equations, to put it simply, help you find the rule that produces a certain rate of change. They are the reverse of differential equations (dx/dt somuch loved by Deleuze) that describe processes in time. So the solutions of polysingular integral equations are all the different functions (or rules) that lead to the behavior that is being studied. Thus, we look at a process that generates change and instead of finding the reason(s) behind it, we find the many different equations that are in place and see all their possibilities forinteraction that can produce such change.