The aim of the project is to elaborate the foundations of paraconsistency, both from a logical and an epistemological point of view. With the advent of paraconsistent logics and inconsistent mathematical systems, there is a strong need to embed these in a broader framework. Elaborating the ontological framework will greatly facilate the study of paraconsistent logics and inconsistent mathematical systems. Expressed in technical terms, the project aims at the articulation of deep-structural semantical systems from which the usual models for paraconsistent logics and paraconsistent mathematics may be derived. These deep-structural systems should be at the level of mereology, causal logic, and the calculus of names. (This endeavor is in the line of Leo Apostel's ontological approach to logic.) The main focus of the workshop is philosophical and foundational: it concerns scientific and every-day knowledge in general, including the understanding of creative processes connected to problems with inconsistent constraints (from the history of sciences), and logic, mathematics, and artificial intelligence in particular. In particular the second workshop will focus on elaboration of deep-structural systems for the present paraconsistent and inconsistency-adaptive logics and for inconsistent mathematical systems. The known applications to the history of sciences, to epistemology and to artificial intelligence will be taken into account.