There is widespread excitement in the literature about the method of arbitrary functions: many take it to show that it is from the dynamics of systems that the objectivity of probabilities emerge. In this paper, I differentiate three ways in which a probability function might be objective, and I argue that the method of arbitrary functions cannot help us show that dynamics objectivise probabilities in any of these senses.

Many goods are distributed by processes that involve randomness. In lotteries, randomness is used to promote fairness. When taking social risks, randomness is a feature of the process. The losers of such decisions ought to be given a reason why they should accept the outcome. Surprisingly, good reasons demand more than merely equalex antechances. What is also required is a true statement of the form: ‘the result could easily have gone the other way and you could have been the winner’. (...) This rules in standard lotteries but rules out many lotteries based on merely epistemic probability. (shrink)

This paper provides a new solution to the problem of moral permissions for the moral error theory. The problem is that the error theorist seems committed to the claim that all actions are morally permitted, as well as to the contradictory claim that no action is morally permitted. My solution understands the moral error theory as the view that folk moral discourse is systematically in error by virtue of suffering from semantic presupposition failure, which I show is consistent with a (...) Kratzerian semantics for deontic modals in natural language. Formally, the solution is to treat the ordering source parameter within Kratzer’s semantics as undefined in the case of folk moral discourse. The paper concludes with thoughts about the import of the solution proffered for the alleged independence of the moral error theory from normative ethics. (shrink)

Many activities impose risks of harm on other people. One such class of risks are those that individuals culpably impose on others, such as the risk arising from reckless driving. Do such risks in themselves constitute a harm, over and above any harm that actually eventuates? This paper considers three recent views that each answer in the affirmative. I argue that each fails to overcome what I call the ‘interference objection’. The risk of harm itself, whether taken as a subjective (...) or an objective risk, is unable to interfere with the interests of victims in order to constitute a harm. This does not mean that a risk of harm cannot itself be wrongful, but the conclusion does weaken the moral objectionableness of impositions of risks of harm. (shrink)

In this paper I propose an interpretation of classical statistical mechanics that centers on taking seriously the idea that probability measures represent complete states of statistical mechanical systems. I show how this leads naturally to the idea that the stochasticity of statistical mechanics is associated directly with the observables of the theory rather than with the microstates (as traditional accounts would have it). The usual assumption that microstates are representationally significant in the theory is therefore dispensable, a consequence which suggests (...) interesting possibilities for developing non-equilibrium statistical mechanics and investigating inter-theoretic answers to the foundational questions of statistical mechanics. (shrink)

I present an account of deterministic chance which builds upon the physico-mathematical approach to theorizing about deterministic chance known as 'the method of arbitrary functions'. This approach promisingly yields deterministic probabilities which align with what we take the chances to be---it tells us that there is approximately a 1/2 probability of a spun roulette wheel stopping on black, and approximately a 1/2 probability of a flipped coin landing heads up---but it requires some probabilistic materials to work with. I contend that (...) the right probabilistic materials are found in reasonable initial credence distributions. I note that, with some normative assumptions, the resulting account entails that deterministic chances obey a variant of Lewis's 'principal principle'. I additionally argue that deterministic chances, so understood, are capable of explaining long-run frequencies. (shrink)