IntroductionEthical theory is steeped in two related metaphors: reasons have weight and reasons are weighed on a balance scale to determine an act's deontic status (e.g., whether an act is permissible, impermissible, or required). Such metaphors are implicit in the ubiquitous talk of outweighing and the balance of reasons. The ubiquity of these metaphors gives them importance. If we are going to use or reject them, we should understand the best way of cashing them out. We may find, as I argue in this paper, that we can construct a promising model of how reasons interact to determine deontic status simply by cashing them out carefully.I assume that the metaphors of weight and weighing are apt for morality and practical rationality. So understood, substantive moral (rational) theories can make two kinds of mistake. First, a theory might incorrectly weight reasons. Perhaps, for example, it overestimates how much weight morality gives to self-interest. Second, a substantive theory might weigh reasons incorrectly. In principle, a theory might make one kind of mistake without making the other.This paper is after the fundamental model of weighing reasons to determine a deontic status, the model that determines what it is to weigh reasons correctly. Such a model can represent any normative theory that correctly weighs reasons, even if the theory incorrectly weights them. It can't represent any theory that incorrectly weighs reasons. By identifying what it is to weigh reasons correctly, the fundamental model identifies structural constraints on any substantive moral or rational theory.The metaphor of weighing reasons brings to mind a single (double-pan balance) scale. The reasons for φ (Rφ) go in one pan and the reasons for ~φ (R~φ) go in the other. The relative weights, as indicated by the relative heights of the two sides of the scale, determine the deontic status of the act.
fig. 1This model, Single Scale, is not by itself a complete normative theory. Among other things, it must be combined with a function that assigns relative weights to deontic status. A natural assignment is:Max: you are permitted to φ iff your reasons for φ are at least as weighty as your reasons for ~φ; you are required to φ iff your reasons for φ are weightier than your reasons for ~φ; otherwise, φ is impermissible. Alternatively, one might allow an act to be permissible as long as the reasons for φ are "good enough," even if they are, within limits, outweighed by the reasons for ~φ.Another common metaphor is the single vector sum, where the deontic status of an act is determined by comparing the total force (aka pressure) in one direction (toward permissibility) with the total force in the opposite direction (toward impermissibility). There is no competition between these metaphors. For normative purposes, talk of weight, force, and pressure are rightly taken to be interchangeable. You put an object on the φ-pan. Its weight just is the downward force it exerts on the φ-pan and the upward force that it exerts on the ~φ-pan. In the physical world,...