Suppose that time is infinitely long towards the future, and that each feasible action produces a finite amount of utility at each time. Then, under appropriate conditions, each action produces an infinite amount of utility. Does this mean that utilitarianism lacks the resources to discriminate among such actions? Since each action produces the same infinite amount of utility, it seems that utilitarianism must judge all actions permissible, judge all actions impermissible, or remain completely silent. If the future is infinite, that (...) is, the prospects for utilitarianism look bleak. (shrink)

The note addresses the problem of how utilitarianism and other finitely additive theories of value should evaluate infinitely long utility streams. We use the axiomatic approach and show that finite anonymity does not apply in an infinite framework. A stronger anonymity demand (fixed step anonymity) is proposed and motivated. Finally, we construct an ordering criterion that combines fixed step anonymity and strong monotonicity.

In the context of worlds with infinitely many bearers of utility, we argue that several collections of natural Utilitarian principles--principles which are certainly true in the classical finite Utilitarian context and which any Utilitarian would find appealing--are inconsistent.

In this paper, I argue for two theses. First, if Christianity is true, then morality should depend on the metaphysics of the afterlife. Second, if Christianity is true, then contemporary moral theory is mistaken. The argument for the first thesis rests on two premises. If rightness depends on an act’s effects on an individual, then—at least in part—it depends on the long-term effects on him. If rightness depends—at least in part—on the long-term effects on an individual, then it depends on (...) the metaphysics of the afterlife. The argument for the second thesis rests on how heaven or hell swamp other considerations. By changing assumptions about the nature of heaven or hell, who goes there, and standard mathematics, we end up with different ethical theories. Some of these assumptions conflict with contemporary moral theory regarding killing, letting die, and saving. (shrink)

Here, we argue for a mathematical equation that captures desert. Our procedure consists of setting out principles that a correct equation must satisfy and then arguing that our set of equations satisfies them. We then consider two objections to the equation. First, an objector might argue that desert and well-being separately contribute to intrinsic goodness, and they do not separately contribute. The concern here is that our equations treat them as separate contributors. Second, our set of desert-equations are unlike equations (...) in science because our equations involve multiple desert-equations with the applicable equation depending on how the variables are filled out. Neither objection succeeds. (shrink)

This essay examines the issue of false assumptions in models via a case study of a prominent economic model of sustainable development, wherein the assumption of an infinite future plays a central role. Two proposals are found to be helpful for this case, one based on the concept of derivational robustness and the other on understanding. Both suggest that the assumption of an infinite future, while arguably legitimate in some applications of the model, is problematic with respect to what I (...) call “Parfitian” welfare functions. This result is relevant to debates about discounting the future in economics and environmental ethics. (shrink)

Many people believe that we have responsibility towards the distant future, but exactly how far this responsibility reaches and how we can find a reasonable ethical foundation for it has not been answered in any definitive manner. Future people have no power over us, they form no part of our moral community and it is unclear how we can represent them in a possible original position. All these problems can be circumvented when you take an impersonal decision criterion like maximizing (...) total or average utility. Such a sum-ranking criterion is neutral with respect to distance in time or space: my utility, my neighbour's and that of our descendants all carry the same weight. This makes future people an integral part of present decisions. Time-neutrality was defended by, among others, Sidgwick, Pigou and Ramsey. (shrink)