Following the argument where it leads

Throughout the history of western philosophy, the Socratic injunction to 'follow the argument where it leads' has exerted a powerful attraction. But what is it, exactly, to follow the argument where it leads? I explore this intellectual ideal and offer a modest proposal as to how we should understand it. On my proposal, following the argument where it leaves involves a kind of modalized reasonableness. I then consider the relationship between the ideal and common sense or 'Moorean' responses to revisionary philosophical theorizing.