1989 Abstract for Washington University Technical Report DEFEAT AMONG ARGUMENTS II This paper discusses a system of non-monotonic inference that treats multiple inheritance situations in a way that many have desired. The system takes a form new to AI; defeat among competing arguments is the mechanism that leads to non-monotonicity. The system does in FOL something like what Touretzky's system does for inheritance in semantic networks [Touretzky85]; it does more of what Nute did [Nute85]; it develops more carefully what Poole attempted [Poole85]. The system owes its form to philosophers' work on defeasible reasoning (esp. [Kyburg82]). This paper updates the ideas in [Loui87a], and it responds to Hanks and McDermott's criticism [Hanks, McDermott87]. Finally, it considers what should be done about the CMU-school's "clash of intuitions" [Touretzky, Horty, Thomason87].