There is an idea, going back to Aristotle, that reasons for action can be understood on a parallel with reasons for belief. Not surprisingly, the idea has almost always led to some form of inferentialism about reasons for action. In this paper I argue that reasons for action can be understood on a parallel with reasons for belief, but that this requires abandoning inferentialism about reasons for action. This result will be thought paradoxical. It is generally assumed that if there is to be a useful parallel, there must be some such thing as a practical inference. As we shall see, that assumption tends to block the fruitful exploration of the real parallel. On the view I shall defend, the practical analogue of an ordinary inference is not an inference, but something I shall call a practical step. Nevertheless, the practical step will do, for a theory of reasons for action, what ordinary inference does for an inferentialist theory of reasons for belief. The result is a general characterization of reasons, practical and theoretical, in terms of the correctness conditions of the relevant sorts of step.
A linear complementarity based characterization of the weighted independence number and the independent domination number in graphs
