Published in Philosophical Studies, 138 (2008): 245-269. AbstractThis paper examines three accounts of the sleeping beauty case: an account proposed by Adam Elga, an account proposed by David Lewis, and a third account defended in this paper. It provides two reasons for preferring the third account. First, this account does a good job of capturing the temporal continuity of our beliefs, while the accounts favored by Elga and Lewis do not. Second, Elga's and Lewis' treatments of the sleeping beauty case lead to highly counterintuitive consequences. The proposed account also leads to counterintuitive consequences, but theyre not as bad as those of Elga's account, and no worse than those of Lewis' account.

This paper examines the debate between permissive and impermissive forms of Bayesianism. It briefly discusses some considerations that might be offered by both sides of the debate, and then replies to some new arguments in favor of impermissivism offered by Roger White. First, it argues that White's (2010) defense of Indifference Principles is unsuccessful. Second, it contends that White's (2005) arguments against permissive views do not succeed.

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Representation theorems are often taken to provide the foundations for decision theory. First, they are taken to characterize degrees of belief and utilities. Second, they are taken to justify two fundamental rules of rationality: that we should have probabilistic degrees of belief and that we should act as expected utility maximizers. We argue that representation theorems cannot serve either of these foundational purposes, and that recent attempts to defend the foundational importance of representation theorems are unsuccessful. As a result, we should reject these claims, and lay the foundations of decision theory on firmer ground.