Jake Khawaja

Reductive accounts of the direction of time are often paired with Humean accounts of laws, while non-reductive accounts of time are often paired with anti-Humean accounts of laws. The traditional pairing of views has recently come under question. This paper aims to clarify what sorts of anti-Humean views motivate anti-reductionism about the direction of time. It is argued that those who think (i) that the laws are metaphysically fundamental, and (ii) that the laws contain time-asymmetric contents, should treat the arrow of time as metaphysically fundamental.

Abstract: This paper develops and advocates a rule for assigning self-locating credences in quantum branching scenarios, called Indexed Branch-Counting. It is argued that Indexed Branch-Counting can be justified on both accuracy-theoretic grounds and on the grounds that it satisfies a requirement of exchangeability for probability assignments. Since Indexed Branch-Counting diverges from the Born Rule, this poses trouble for Everettian approaches to probability. The paper also addresses a common argument against branch-counting, namely that the rule is incoherent in light of putative vagueness in the number of branches. Finally, the paper addresses a recent proposal from Simon Saunders that aims to reconcile branch-counting with the Born Rule, arguing that the proposal faces challenges.

Particular persons have claims against being made worse off than they could have been. The literature, however, has focused primarily on only two-option cases; yet, these cases fail to capture all of the morally relevant factors, especially when a person’s existence is in question. This paper explores how to assess claims in multiple-option choice sets. We scrutinize the only extant proposal, offered by Michael Otsuka, which we call the Weakening View. In light of its problems, we develop an alternative: the Combining View. The Weakening View holds that a person’s claim against a loss of well-being relative to one distribution is weakened by the availability of further alternatives relative to which the person gains well-being. By contrast, our view holds that a person has an overall claim for or against a certain distribution relative to the whole option set, where overall claims are second-order functions of the different pairwise claims. Finally, we defend the Combining View by exploring its implications for the impact of a person’s possible non-existence on their overall claims, and we develop a proposal for how the number of distributions relative to which a person gains or loses welfare influences the strength of their overall claims.

According to Humean theories of objective chance, the chances reduce to patterns in the history of occurrent events, such as frequencies. According to non-Humean accounts, the chances are metaphysically fundamental, existing independently of the "Humean Mosaic" of actually-occurring events. It is therefore possible, by the lights of non-Humeanism, for the chances and the frequencies to diverge wildly. Humeans often allege that this undermines the ability of non-Humean accounts of chance to rationalize adherence to David Lewis' Principal Principle (PP), which states that an agent's degrees of belief should match what they take to be the objective chances. In this paper, I propose two approaches to justifying (PP) for non-Humean chance, hence defusing the Humean objection. The first approach justifies (PP) via the role it plays in informing outright beliefs about long-run frequencies. The second approach justifies (PP) by showing that adherence to (PP), even for non-Humean chance, maximizes expected epistemic utility according to the actual objective chance function. I then address an objection to this approach, concerning the alleged circularity of the derivations.