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The debate between Uniqueness and Permissivism concerns whether a body of evidence sometimes allows multiple doxastic attitudes towards a proposition. An important motivation for Uniqueness is the socalled ‘arbitrariness argument,’ which says that Permissivism leads to some unacceptable arbitrariness with regard to one's beliefs. An influential response to the argument says that the arbitrariness in beliefs can be avoided by invoking epistemic standards. In this paper, I argue that such a response to the arbitrariness argument is unsuccessful. Then I defend (...) 

We offer a new motivation for imprecise probabilities. We argue that there are propositions to which precise probability cannot be assigned, but to which imprecise probability can be assigned. In such cases the alternative to imprecise probability is not precise probability, but no probability at all. And an imprecise probability is substantially better than no probability at all. Our argument is based on the mathematical phenomenon of nonmeasurable sets. Nonmeasurable propositions cannot receive precise probabilities, but there is a natural way (...) 

Are all epistemic notions – including evidence and rational credence – sensitive to practical considerations? A number of philosophers have argued that the answer must be ‘No’, since otherwise rational agents would be susceptible to diachronic Dutch books. After unpacking this challenge, I show how it can be resisted by appealing to an analogy between shifting stakes and memory loss. The upshot: pervasive epistemic shiftiness may be tenable after all. 

Principles of chance deference face two kinds of problems. In the first place, they face difficulties with a priori knowable contingencies. In the second place, they face difficulties in cases where you've lost track of the time. I provide a generalisation of these principles which handles these problem cases. The generalisation has surprising consequences for Adam Elga's Sleeping Beauty puzzle. 

How should we respond to evidence when our evidence indicates that we are rationally impaired? I will defend a novel answer based on the analogy between selfdoubt and memory loss. To believe that one is now impaired and previously was not is to believe that one’s epistemic position has deteriorated. Memory loss is also a form of epistemic deterioration. I argue that agents who suffer from epistemic deterioration should return to the priors they had at an earlier time. I develop (...) 

The Sleeping Beauty problem has attracted considerable attention in the literature as a paradigmatic example of how selflocating uncertainty creates problems for the Bayesian principles of Conditionalization and Reflection. Furthermore, it is also thought to raise serious issues for diachronic Dutch Book arguments. I show that, contrary to what is commonly accepted, it is possible to represent the Sleeping Beauty problem within a standard Bayesian framework. Once the problem is correctly represented, the ‘thirder’ solution satisfies standard rationality principles, vindicating why (...) 

According to Stalnaker’s Thesis, the probability of a conditional is the conditional probability. Under some mild conditions, the thesis trivialises probabilities and conditionals, as initially shown by David Lewis. This article asks the following question: does still lead to triviality, if the probability function in is replaced by a probabilitylike function? The article considers plausibility functions, in the sense of Friedman and Halpern, which additionally mimic probabilistic additivity and conditionalisation. These quasi probabilities comprise Friedman–Halpern’s conditional plausibility spaces, as well as (...) 

Bayesian confirmation theory is our best formal framework for describing inductive reasoning. The problem of old evidence is a particularly difficult one for confirmation theory, because it suggests that this framework fails to account for central and important cases of inductive reasoning and scientific inference. I show that we can appeal to the fragmentation of doxastic states to solve this problem for confirmation theory. This fragmentation solution is independently wellmotivated because of the success of fragmentation in solving other problems. I (...) 

Lewis’s Principal Principle is widely recognized as a rationality constraint that our credences should satisfy throughout our epistemic life. In practice, however, our credences often fail to satisfy this principle because of our various epistemic limitations. Facing such violations, we should correct our credences in accordance with this principle. In this paper, I will formulate a way of correcting our credences, which will be called the Adams Correcting Rules and then show that such a rule yields noncommutativity between conditionalizing and (...) 

It is a widespread intuition that the coherence of independent reports provides a powerful reason to believe that the reports are true. Formal results by Huemer (1997), Olsson (2002, 2005), and Bovens and Hartmann (2003) prove that, under certain conditions, coherence cannot increase the probability of the target claim. These formal results, known as ‘the impossibility theorems’ have been widely discussed in the literature. They are taken to have significant epistemic upshot. In particular, they are taken to show that reports (...) 

Orthodox Bayesianism endorses revising by conditionalization. This paper investigates the zeroraising problem, or equivalently the certaintydropping problem of orthodox Bayesianism: previously neglected possibilities remain neglected, although the new evidence might suggest otherwise. Yet, one may want to model openminded agents, that is, agents capable of raising previously neglected possibilities. Different reasons can be given for openmindedness, one of which is fallibilism. The paper proposes a family of openminded propositional revisions depending on a parameter ϵ. The basic idea is this: first (...) 

How should rational beliefs change over time? The standard Bayesian answer is: by conditionalization (a.k.a. Bayes’ Rule). But conditionalization is not an adequate rule for updating beliefs in “centred” propositions whose truthvalue may itself change over time. In response, some have suggested that the objects of belief must be uncentred; others have suggested that beliefs in centred propositions are not subject to diachronic norms. Iargue that these views do not offer a satisfactory account of selflocating beliefs and their dynamics. A (...) 

In this paper we apply the popular Best System Account of laws to typical eternal worlds – both classical eternal worlds and eternal worlds of the kind posited by popular contemporary cosmological theories. We show that, according to the Best System Account, such worlds will have no laws that meaningfully constrain boundary conditions. It’s generally thought that lawful constraints on boundary conditions are required to avoid skeptical arguments. Thus the lack of such laws given the Best System Account may seem (...) 



Recently, several epistemologists have defended an attractive principle of epistemic rationality, which we shall call UrPrior Conditionalization. In this essay, I ask whether we can justify this principle by appealing to the epistemic goal of accuracy. I argue that any such accuracybased argument will be in tension with Evidence Externalism, i.e., the view that agent's evidence may entail nontrivial propositions about the external world. This is because any such argument will crucially require the assumption that, independently of all empirical evidence, (...) 

