Bartha and DesRoches (2021) and Steel and Bartha (2023) argue that we should understand the precautionary principle as the injunction to maximise lexical utilities. They show that the lexical utility model has important pragmatic advantages. Moreover, the model has the theoretical advantage of satisfying all axioms of expected utility theory except continuity. In this paper I raise a trilemma for any attempt at modelling the precautionary principle with lexical utilities: it permits choice cycles or leads to paralysis or implies that (...) the smallest value difference that is possible in a context has extreme axiological implications. (shrink)

Many population axiologies avoid the Repugnant Conclusion by endorsing Superiority: some number of great lives is better than any number of mediocre lives. But as Nebel shows, RC follows from the Intrapersonal Repugnant Conclusion: a guaranteed mediocre life is better than a sufficiently small probability of a great life. This result is concerning because IRC is plausible. Recently, Kosonen has argued that IRC can be true while RC is false if small probabilities are discounted to zero. This article details the (...) unique problems created by combining Superiority with discounting. The resultant view, Superiority Discounting, avoids the Repugnant Conclusion only at the cost of the Preposterous Conclusion: near-certain hell for arbitrarily many people is better than near-certain heaven for arbitrarily many people. (shrink)

Non-Consequentialist moral theories posit the existence of moral constraints: prohibitions on performing particular kinds of wrongful acts, regardless of the good those acts could produce. Many believe that such theories cannot give satisfactory verdicts about what we morally ought to do when there is some probability that we will violate a moral constraint. In this article, I defend Non-Consequentialist theories from this critique. Using a general choice-theoretic framework, I identify various types of Non-Consequentialism that have otherwise been conflated in the (...) debate. I then prove a number of formal possibility and impossibility results establishing which types of Non-Consequentialism can -- and which cannot -- give us adequate guidance through through a risky world. (shrink)

Many of us believe (1) Saving a life is more important than averting any number of headaches. But what about risky cases? Surely: (2) In a single choice, if the risk of death is low enough, and the number of headaches at stake high enough, one should avert the headaches rather than avert the risk of death. And yet, if we will face enough iterations of cases like that in (2), in the long run some of those small risks of (...) serious harms will surely eventuate. And yet: (3) Isn't it still permissible for us to run these repeated risks, despite that knowledge? After all, if it were not, then many of the risky activities that we standardly think permissible would in fact be impermissible. Nobody has yet offered a principle that can accommodate all of 1-3. In this paper, I show that we can accommodate all of these judgements, by taking into account both ex ante and ex post perspectives. In doing so, I clear aside an important obstacle to a viable deontological decision theory. (shrink)

A de minimis risk is defined as a risk that is so small that it may be legitimately ignored when making a decision. While ignoring small risks is common in our day-to-day decision making, attempts to introduce the notion of a de minimis risk into the framework of decision theory have run up against a series of well-known difficulties. In this paper, I will develop an enriched decision theoretic framework that is capable of overcoming two major obstacles to the modelling (...) of de minimis risk. The key move is to introduce, into decision theory, a non-probabilistic conception of risk known as normic risk. (shrink)

Many argue that absolutist moral theories -- those that prohibit particular kinds of actions or trade-offs under all circumstances -- cannot adequately account for the permissibility of risky actions. In this dissertation, I defend various versions of absolutism against this critique, using overlooked resources from formal decision theory. Against the prevailing view, I argue that almost all absolutist moral theories can give systematic and plausible verdicts about what to do in risky cases. In doing so, I show that critics have (...) overlooked: (1) the fact that absolutist theories -- and moral theories, more generally -- underdetermine their formal decision-theoretic representations; (2) that decision theories themselves can be generalised to better accommodate distinctively absolutist commitments. Overall, this dissertation demonstrates that we can navigate a risky world without compromising our moral commitments. (shrink)

Imagine that one must either lose all of one’s certainty about some very important topic – about the meaning of life, for example – or a small amount of certainty about each of one’s more “mundane” beliefs – beliefs about the color of one’s socks, where one’s keys are, whether it will rain, etc. One ought to take the latter loss, no matter how many mundane beliefs are at stake. Conversely, if one had to give up a tiny bit of (...) certainty about the important topic, or all of one’s certainty about most mundane topics, one ought to take the former loss. These two judgments generate what I call the “epistemic headaches-for-lives challenge,” so called because it resembles a challenge in ethics about the relative values of headaches and lives. In this paper, I argue for two things. First, our epistemic theories should accord with these types of judgments, and so must deal with the headaches-for-lives challenge. Second, this is a serious challenge for formal epistemology. (shrink)

To consequentialize a deontological moral theory is to give a theory which issues the same moral verdicts, but explains those verdicts in terms of maximizing or satisficing value. There are many motivations for consequentializing: to reconcile plausible ideas behind deontology with plausible ideas behind consequentialism, to help us better understand deontological theories, or to extend deontological theories beyond what intuitions alone tell us. It has proven difficult to consequentialize theories that allow for moral dilemmas or that deny that “ought” implies (...) “can.” This article argues that the problem is best solved by allowing impossible actions as inputs into consequentializations. It shows that all other approaches that have been advocated are inadequate. It also argues that progress in consequentialization, and in formal ethics more generally, requires thinking about more than just wrongness and permissibility; we should think about contrary-to-duty obligations and degrees of wrongness as well. (shrink)