Ten Reasons to Care About the Sleeping Beauty Problem

The Sleeping Beauty Problem attracts so much attention because it connects to a wide variety of unresolved issues in formal epistemology, decision theory, and the philosophy of science. The problem raises unanswered questions concerning relative frequencies, objective chances, the relation between self-locating and non-self-locating information, the relation between self-location and updating, Dutch Books, accuracy arguments, memory loss, indifference principles, the existence of multiple universes, and many-worlds interpretations of quantum mechanics. After stating the problem, this article surveys its connections to all of these areas.

[1]  D. Lewis,et al.  Sleeping Beauty: reply to Elga , 2001 .

[2]  Brian Kierland,et al.  Minimizing Inaccuracy for Self-Locating Beliefs , 2005 .

[3]  Sleeping Beauty and direct inference , 2011 .

[4]  Nick Bostrom,et al.  Sleeping Beauty and Self-location: A Hybrid Model , 2007, Synthese.

[5]  Bas C. van Fraassen,et al.  Belief and the problem of Ulysses and the sirens , 1995 .

[6]  Comments and criticism , 2004 .

[7]  William J. Talbott,et al.  Two principles of Bayesian epistemology , 1991 .

[8]  Kenny Easwaran,et al.  Bayesianism I: Introduction and Arguments in Favor , 2011 .

[9]  Joel Pust Conditionalization and Essentially Indexical Credence , 2012 .

[10]  Namjoong Kim,et al.  Sleeping Beauty and shifted Jeffrey conditionalization , 2009, Synthese.

[11]  Peter J. Lewis Uncertainty and probability for branching selves , 2007 .

[12]  James R. Shaw De se belief and rational choice , 2011, Synthese.

[13]  Richard Pettigrew,et al.  An Objective Justification of Bayesianism I: Measuring Inaccuracy* , 2010, Philosophy of Science.

[14]  Cian Dorr,et al.  Sleeping Beauty: in defence of Elga , 2002 .

[15]  Frank Arntzenius,et al.  Some Problems for Conditionalization and Reflection , 2003 .

[16]  Indifference: The Symmetries of Probability , 1989 .

[17]  Jaines M. Joyce A Nonpragmatic Vindication of Probabilism , 1998, Philosophy of Science.

[18]  Alan Hájek,et al.  The reference class problem is your problem too , 2007, Synthese.

[19]  W. Schwarz Changing minds in a changing world , 2012 .

[20]  Hilary Greaves,et al.  Understanding Deutsch's probability in a deterministic multiverse , 2003, quant-ph/0312136.

[21]  Christopher Hitchcock,et al.  Beauty and the Bets , 2004, Synthese.

[22]  Frank Arntzenius Reflections on Sleeping Beauty , 2002 .

[23]  P. Hawley Inertia, Optimism and Beauty , 2013 .

[24]  H. Everett "Relative State" Formulation of Quantum Mechanics , 1957 .

[25]  D. J. Bradley,et al.  Self-location is no problem for conditionalization , 2011, Synthese.

[26]  S. Moss Updating as Communication , 2012 .

[27]  D. Bradley Four Problems about Self-Locating Belief , 2012 .

[28]  Nick Bostrom,et al.  Self-Locating Belief in Big Worlds: Cosmology’s Missing Link to Observation , 2002 .

[29]  Moritz Schulz The Dynamics of Indexical Belief , 2010 .

[30]  Adam Elga,et al.  Self‐locating belief and the Sleeping Beauty problem , 2000 .

[31]  Peter J. Lewis,et al.  Credence and self-location , 2010, Synthese.

[32]  James M. Joyce Accuracy and Coherence: Prospects for an Alethic Epistemology of Partial Belief , 2009 .

[33]  Ariel Rubinstein,et al.  On the Interpretation of Decision Problems with Imperfect Recall , 1996, TARK.

[34]  Mikaël Cozic Imaging and Sleeping Beauty: A case for double-halfers , 2011, Int. J. Approx. Reason..

[35]  A. Elga Defeating Dr. Evil with Self-Locating Belief , 2004 .

[36]  Wolfgang Schwarz,et al.  Lost memories and useless coins: revisiting the absentminded driver , 2015, Synthese.

[37]  Joel Pust Cartesian Knowledge and Confirmation , 2007 .

[38]  B. Weatherson Should We Respond to Evil with Indifference , 2005 .

[39]  H. Leitgeb,et al.  An Objective Justification of Bayesianism II: The Consequences of Minimizing Inaccuracy* , 2010, Philosophy of Science.

[40]  Selection Biases in Likelihood Arguments , 2012, The British Journal for the Philosophy of Science.

[41]  D. Lewis Attitudes De Dicto and De Se , 1979 .

[42]  D. Bradley,et al.  Confirmation in a Branching World: The Everett Interpretation and Sleeping Beauty , 2011, The British Journal for the Philosophy of Science.

[43]  Paul Teller,et al.  Conditionalization and observation , 1973, Synthese.

[44]  Kenny Easwaran,et al.  Bayesianism II: Applications and Criticisms , 2011 .

[45]  Christopher J. G. Meacham Sleeping beauty and the dynamics of de se beliefs , 2008 .

[46]  J. Ross Sleeping Beauty, Countable Additivity, and Rational Dilemmas , 2010 .

[47]  Darren Bradley,et al.  When betting odds and credences come apart: more worries for Dutch book arguments , 2006 .

[48]  R. Selten Evolution, learning, and economic behavior , 1991 .

[49]  David Wallace,et al.  Justifying Conditionalization: Conditionalization Maximizes Expected Epistemic Utility , 2006 .

[50]  Michael G. Titelbaum The Relevance of Self-Locating Beliefs , 2008 .

[51]  Joel Pust,et al.  Diachronic Dutch Books and Sleeping Beauty , 2007, Synthese.

[52]  T. Horgan Sleeping Beauty awakened: new odds at the dawn of the new day , 2004 .