Philosophical, Logical, and Experimental routes to substructurality

ongoing

There is a large family of non-classical logics that fall under the heading of substructurality. Among the logics in the substructural family, the recent philosophical literature pays particular attention to what can be termed “radically substructural logics”: non-transitive and non-reflexive reflexive logics as well as variants and hybrids of these obtained by metainferential ascent. The overall goal of PLEXUS is to advance the knowledge of radical substructural logics and deepen our understanding of the broader phenomenon of substructurality, by coordinating the efforts of researchers across the globe, across generations, and across traditions. We see our project characterised by the following concepts: integration, cross-fertilization and knowledge sharing. This general objective is articulated in three objectives: 1. Philosophical Foundations: investigate the main philosophical challenges raised by radically substructural logics. 2. Logic and applications: investigate proof-theoretic and model theoretic characterizations of radically substructural logics and their logico-linguistic applications. 3. The Metainferences Inventory and Metainferences Prover: develop a tool to measure naïve reasoners' preferences on metainferences and implement an automatic metainferences prover.