Talk (Work in Progress): Pablo Cobreros (Navarra)
Substructurality, Non-transitivity and Metainferences
A good bunch of papers in the recent literature on non-classical approaches to paradoxes focus on, so-called, ''substructural approaches''. Traditionally, non-classical approaches to paradoxes tried to make room for tolerance (in the case of vagueness) or for transparent truth by dropping some inference involving specific logical vocabulary (like excluded middle or explosion). Substructural approaches pursue the same goal as traditional non-classical approaches, but they drop instead some ''structural property'', that is, some general way inferences can be related to inferences without need of explicit mention of the logical vocabulary. These new approaches raise a lot of questions of philosophical interest. In this talk I present some of these questions in connection with the non-transitive approach ST and some lines of research that might help deepen the understanding of substructural approaches.