Sleeping Beauty and the Evidential Centered Principle

Abstract

Since Elga published his "Self-locating belief and the Sleeping Beauty problem," there has been an intense debate about which credence between 1/2 and 1/3 Beauty should assign to (H) the coin's landing heads, when she is awakened on Monday. The Halfers claim that she ought to assign 1/2 to H at that moment. The Thirders argue that she ought to assign 1/3 to H then. Meanwhile, Pettigrew defended a new chance-credence coordination principle, called the "Evidential Temporal Principle" (ETP), in a recent edition of his book. In this paper, I provide a novel argument against the Halfer view and a partial defense of the Thirder view, respectively based on ETP. In addition, I generalize ETP to what I call the "Evidential Centered Principle," which links one's credences in centered propositions with their objective chances.