Abstract

Frank Arntzenius has recently suggested that we should reject the standard view that the instantaneous state in classical mechanics consists of both the position and the velocity. In his view, the velocity as ordinarily defined-as the derivative of position with respect to time-cannot be genuinely instantaneous, and, thus, it should be excluded from the instantaneous state. After reviewing Bertrand Russell's traditional objections to the notion of an instantaneous velocity and suggesting that Russell's concerns can be effectively answered, I argue that Arntzenius' attempt to show that the standard definition of velocity fails to yield an instantaneous property is not compelling either. Although I review several suggestions that Arntzenius makes against the existence of instantaneous velocity, much of his case rests upon an intuition, which has also appeared in the work of David Albert, about what is required of genuine instantaneous states. I argue in part that there is no reason to accept this intuition, and, thus, no reason to revise standard physical practice when it comes to the classical, instantaneous state.