Firstly, integration of these dialectical formalisations of non-monotonic logics with probabilistic (in particular Bayesian) inference; one that is suited to modelling the predictive processing account of cognition.
Secondly, reformulating these dialectical formalisations of individual agent reasoning in terms of normative constraints on speech acts, so as to obtain communicative accounts of distributed non-monotonic reasoning.
I focus on progress towards meeting this second challenge, by pointing to work on ASPIC+ formalisations of non-monotonic reasoning and dialogical developments of ASPIC+. I argue for the importance of this ‘dialogical turn’ given some of the ethical challenges raised by contemporary developments in Artificial Intelligence, and wider concerns about our "post-truth" predicament.