We show that in infinite worlds the following three conditions are incompatible: The spatiotemporal ordering of individuals is morally irrelevant. All else being equal, the act of bringing about a good outcome with a high probability is better than the act of bringing about the same outcome with a low probability. One act is better than another only if there is a nonzero probability that it brings about a better outcome. The impossibility of combining these conditions shows that it is (...) more costly to endorse than has been previously acknowledged. (shrink)

It is widely assumed that a literal understanding of someone’s self-deception that p yields the following contradiction. Qua self-deceiver, she does not believe that p, yet – qua self-deceived – she does believe that p. I argue that this assumption is ill-founded. Literalism about self-deception – the view that self-deceivers literally self-deceive – is not committed to this contradiction. On the contrary, properly understood, literalism excludes it.

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)

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)