•  325
    How to Perform a Nonbasic Action
    Noûs. forthcoming.
    Some actions we perform "just like that" without taking a means, e.g., raising your arm or wiggling your finger. Other actions—the nonbasic actions—we perform by taking a means, e.g., voting by raising your arm or illuminating a room by flipping a switch. A nearly ubiquitous view about nonbasic action is that one's means to a nonbasic action constitutes the nonbasic action, as raising your arm constitutes voting or flipping a switch constitutes illuminating a room. In this paper, I challenge thi…Read more
  •  274
    On Accuracy and Coherence with Infinite Opinion Sets
    Philosophy of Science 90 (1): 92-128. 2023.
    There is a well-known equivalence between avoiding accuracy dominance and having probabilistically coherent credences (see, e.g., de Finetti 1974, Joyce 2009, Predd et al. 2009, Pettigrew 2016). However, this equivalence has been established only when the set of propositions on which credence functions are defined is finite. In this paper, I establish connections between accuracy dominance and coherence when credence functions are defined on an infinite set of propositions. In particular, I esta…Read more
  •  105
    We argue that subjective Bayesians face a dilemma: they must offend against the spirit of their permissivism about rational credence or reject the principle that one should avoid accuracy dominance.
  •  32
    In Arrovian social choice theory assuming the independence of irrelevant alternatives, Murakami (1968) proved two theorems about complete and transitive collective choice rules that satisfy strict non-imposition (citizens’ sovereignty), one being a dichotomy theorem about Paretian or anti-Paretian rules and the other a dictator-or-inverse-dictator impossibility theorem without the Pareto principle. It has been claimed in the later literature that a theorem of Malawski and Zhou (1994) is a genera…Read more
  •  22
    There is an extensive literature in social choice theory studying the consequences of weakening the assumptions of Arrow's Impossibility Theorem. Much of this literature suggests that there is no escape from Arrow-style impossibility theorems unless one drastically violates the Independence of Irrelevant Alternatives (IIA). In this paper, we present a more positive outlook. We propose a model of comparing candidates in elections, which we call the Advantage-Standard (AS) model. The requirement t…Read more