Is the overall value of a world just the sum of values contributed by each value-bearing entity in that world? Additively separable axiologies (like total utilitarianism, prioritarianism, and critical level views) say 'yes', but non-additive axiologies (like average utilitarianism, rank-discounted utilitarianism, and variable value views) say 'no'. This distinction appears to be practically important: among other things, additive axiologies generally assign great importance to large changes in population size, and therefore tend to strongly prioritize the long-term survival of humanity over (...) the interests of the present generation. Non-additive axiologies, on the other hand, need not assign great importance to large changes in population size. We show, however, that when there is a large enough `background population' unaffected by our choices, a wide range of non-additive axiologies converge in their implications with additive axiologies—for instance, average utilitarianism converges with critical-level utilitarianism and various egalitarian theories converge with prioritarianism. We further argue that real-world background populations may be large enough to make these limit results practically significant. This means that arguments from the scale of potential future populations for the astronomical importance of avoiding existential catastrophe, and other arguments in practical ethics that seem to presuppose additive separability, may succeed in practice whether or not we accept additive separability as a basic axiological principle. (shrink)

Some normative theories are self-defeating. They tell us to respond to our situations in ways that bring about outcomes that are bad, given the aims of the theories, and which could have been avoided. Across a wide range of debates in ethics, decision theory, political philosophy, and formal epistemology, many philosophers treat the fact that a normative theory is self-defeating as sufficient grounds for rejecting it. I argue that this widespread and consequential assumption is false. In particular, I argue that (...) a theory can be self-defeating and still internally consistent, action-guiding, and suitable as a standard for criticism. (shrink)

We begin by showing that every theory of the value of uncertain prospects must have one of three unpalatable properties. _Reckless_ theories recommend giving up a sure thing, no matter how good, for an arbitrarily tiny chance of enormous gain; _timid_ theories permit passing up an arbitrarily large potential gain to prevent a tiny increase in risk; _non-transitive_ theories deny the principle that, if A is better than B and B is better than C, then A must be better than (...) C. Having set up this trilemma, we study its horns. Non-transitivity has been much discussed; we focus on drawing out the costs and benefits of recklessness and timidity when it comes to axiology, decision theory, and normative uncertainty. (shrink)

Is the overall value of a world just the sum of values contributed by each value-bearing entity in that world? Additively separable axiologies (like total utilitarianism, prioritarianism, and critical level views) say 'yes', but non-additive axiologies (like average utilitarianism, rank-discounted utilitarianism, and variable value views) say 'no'. This distinction is practically important: additive axiologies support 'arguments from astronomical scale' which suggest (among other things) that it is overwhelmingly important for humanity to avoid premature extinction and ensure the existence of a (...) large future population, while non-additive axiologies need not. We show, however, that when there is a large enough 'background population' unaffected by our choices, a wide range of non-additive axiologies converge in their implications with some additive axiology -- for instance, average utilitarianism converges to critical-level utilitarianism and various egalitarian theories converge to prioritiarianism. We further argue that real-world background populations may be large enough to make these limit results practically significant. This means that arguments from astronomical scale, and other arguments in practical ethics that seem to presuppose additive separability, may be truth-preserving in practice whether or not we accept additive separability as a basic axiological principle. (shrink)

Coordination games show that all individuals can do what is right according to act‐consequentialism, even if they do not bring about the best outcome as a group. This creates two problems for act‐consequentialism. First, it cannot accommodate the intuition that there is some moral failure in these cases. Second, its formulation as a criterion of rightness conflicts with the underlying act‐consequentialist concern that the best outcome is brought about. The collectivist view solves these problems by holding that any group of (...) two or more individual agents, and only individual agents, is a collective agent who itself can act rightly or wrongly. When such a collective agent does what is wrong, there is a moral failure. When all collective agents do what is right, the best outcome is brought about. In this paper, I defend the collectivist view against the No Act Objection, according to which the doings of many so called disunified collectives are not acts. (shrink)

In the standard money pump, an agent with cyclical preferences can avoid exploitation if he shows foresight and solves his sequential decision problem using backward induction (BI). This way out is foreclosed in a modified money pump, which has been presented in Rabinowicz (2000). There, BI will lead the agent to behave in a self-defeating way. The present paper describes another sequential decision problem of this kind, the Centipede for an Intransitive Preferrer, which in some respects is even more striking (...) than the modified pump. In the new problem, the BI reasoning that implies self-defeating behavior does not rest on the controversial robustness assumption concerning beliefs in one's future rationality. This strengthens the claim that foresight cannot save the intransitive preferrer from a self-defeating course of action. (shrink)

In collective harm cases, bad consequences follow if enough people act in a certain way even though no such individual act makes a difference for the worse. Global warming, overfishing and Derek Parfit’s famous case of the harmless torturers are some examples of such harm. Shelly Kagan argues that there is a threshold such that one single act might trigger harm in all collective harm cases. Julia Nefsky points to serious shortcomings in Kagan’s argument, but does not show that his (...) conclusion is incorrect. I argue that our best theories of vagueness (the epistemic view of vagueness, three-valued logic, and supervaluationism) entail that there is a threshold in all collective harm cases. However, my analysis points to another problem with Kagan’s argument: the thresholds are not necessarily perceptible. Given the assumption that only perceptible differences matter morally, passing such a threshold does not necessarily trigger morally relevant harm, pace Kagan. Last, I consider two variants of Kagan’s argument and find both problematic. One controversially assumes that observational relations like ‘cannot perceive the difference between’ are transitive. The other problematically assumes that so called triangulation always is possible. (shrink)

In this paper, we present a new account of teleological reasons, i.e. reasons to perform a particular action because of the outcomes it promotes. Our account gives the desired verdict in a number of difficult cases, including cases of overdetermination and non-threshold cases like Parfit’s famous _Drops of water._ The key to our account is to look more closely at the metaphysics of causation. According to Touborg (_The dual nature of causation_, 2018), it is a necessary condition for causation that (...) a cause increases the security of its effect. Building on this idea, we suggest, roughly, that you have a teleological reason to act in a certain way when doing so increases the security of some good outcome. This represents a middle way between the proposal that you have a reason to act in a certain way just in case this _would_ cause a good outcome and the proposal that you have a reason to act in a certain way just in case this _could_ cause a good outcome. (shrink)

We develop a mathematical theory for comparative sorites, considered in terms of a system mapping pairs of stimuli into a binary response characteristic whose values supervene on stimulus pairs and are interpretable as the complementary relations 'are the same' and 'are not the same' (overall or in some respect). Comparative sorites is about hypothetical sequences of stimuli in which every two successive elements are mapped into the relation 'are the same', while the pair comprised of the first and the last (...) elements of the sequence is mapped into 'are not the same'. Although soritical sequences of this kind are logically possible, we argue that their existence is grounded in no empirical evidence and show that it is excluded by a certain psychophysical principle proposed for human comparative judgements in a context unrelated to soritical issues. We generalize this principle to encompass all conceivable situations for which comparative sorites can be formulated. (shrink)

The mismatch problem for consequentialism arises whenever the theory delivers mismatched verdicts between a group act and the individual acts that compose it. A natural thought is that moving to expected utility versions of consequentialism will solve this problem. I explain why the move to expected utility is not successful.

Jan Österberg (Self and Others, 1988) argues that the most defensible form of egoism should not only tell each of us what to do but also tell us what we ought to do. He also claims that collective norms should take precedence over individual ones. An individual ought to do one's part in an action pattern that is prescribed for the group - provided that other members of the group do their part. question This paper questions Österberg's claim that Collective (...) Egoism, unlike other forms of egoism, avoids violations of the principles which he takes to be analytical adequacy criteria for ethical theories: the principles of "deontic consequence" and "joint satisfiability". Furthermore, it questions his argument that Collective Egoism yields the "right" prescriptions in its main test-case: Prisoners' Dilemma. The improved version of Collective Egoism is able to deal with the two-person Prisoners' Dilemma, but it still misbehaves when we move to the many-persons cases. A certain type of "free rider"-problems proves to be especially troublesome. (shrink)