Changing one’s position in a discussion — some adaptive approaches

Abstract

This paper contains different approaches to solve the problem how to construct the ultimate position out of one’s interventions in a discussion after possibly one or more position changes. In all approaches it is the aim to come as close as possible to human reasoning. Therefore all logics are adaptive logics. The first logic is an extension of an adaptive translation into S5 of the Rescher-Manor mechanisms. The second one is a dynamic proof theory based on a technique using indices. In the end a satisfactory solution is given by a dynamic proof theory expressing the idea of prioritized compatibility, i.e. compatibility step by step.