In this paper, I discuss the main difficulties one encounters when solving problems with inconsistent constraints. I argue that in order to meet these difficulties we need an inconsistency-adaptive logic that enables one to derive as many (interesting) consequences as possible, but that at the same time allows one to determine which consequences can be accepted. I show that the inconsistency-adaptive logic ANA satisfies these requirements
This introduction clarifies the ideas behind the Logic, Reasoning and Rationality congress from which the papers in this issue are selected. These ideas are situated in the history of 20th century philosophy (Vienna Circle, Kuhn, ...). We also give an overview of the papers in this issue