Joint work with Gillman Payette.

On the orthodox view of logic, logics are to be understood as systems with universal application.  Let us call this orthodox view `logical generalism’. Even logical pluralists, who allow that there are multiple correct logics, are generalists, in that they maintain either that multiple logics are correct come what may, or that each logic is correct within its context of applicability. In contrast the view that we wish to defend is one on which logics can and do explain the validity of particular arguments without being correct, either universally or within a context.