The dialogical approach to paraconsistency as developed by Rahman and Camielli ([1]), Rahman and Roetti ([2]) and Rahman ([3], [4] and [5]) suggests a way ofstudying the dynamic process ofarguing with inconsistencies. In his paper on Paraconsistency and Dialogue Logic ([6]) Van Bendegem suggests that an adaptive version of paraconsistency is the natuml way of capturing the inherent dynamics of dialogues. The aim of this paper is to develop a fomulation of dialogical paraconsistent logic in the spirit of an adaptive approach and 'Which explores the possibility of eliminating inconsistencies by tœans oflogicalpreference stmtegies.