Agreement and Updating For Self-Locating Belief

In this paper, I argue that some plausible principles concerning which credences are rationally permissible for agents given information about one another’s epistemic and credal states have some surprising consequences for which credences an agent ought to have in light of self-locating information. I provide a framework that allows us to state these constraints and draw out these consequences precisely. I then consider and assess the prospects for rejecting these prima facie plausible principles.

[1]  Frank Arntzenius,et al.  Self-Locating Priors and Cosmological Measures , 2016 .

[2]  David Lewis,et al.  How Many Lives Has Schrödinger's Cat? , 2004 .

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

[4]  Joseph Y. Halpern,et al.  Knowledge, probability, and adversaries , 1993, JACM.

[5]  J. Leslie Observer-relative chances and the doomsday argument , 1997 .

[6]  Michael Caie,et al.  AGREEMENT THEOREMS FOR SELF-LOCATING BELIEF , 2016, The Review of Symbolic Logic.

[7]  R. Aumann Agreeing to disagree. , 1976, Nature cell biology.

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

[9]  Michael Caie,et al.  Rational Probabilistic Incoherence , 2013 .

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

[11]  John Pittard,et al.  When Beauties Disagree , 2015 .

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

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

[14]  Selim Berker Epistemic Teleology and the Separateness of Propositions , 2013 .

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

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

[17]  C. S. Jenkins,et al.  Entitlement and rationality , 2007, Synthese.

[18]  Richard Pettigrew,et al.  Accuracy and the Laws of Credence , 2016 .

[19]  K. Jon Barwise,et al.  Three Views of Common Knowledge , 1988, TARK.

[20]  Joseph Y. Halpern Sleeping Beauty Reconsidered: Conditioning and Reflection in Asynchronous Systems , 2004, KR.

[21]  B. Levinstein,et al.  Leitgeb and Pettigrew on Accuracy and Updating , 2012, Philosophy of Science.

[22]  H. Vincent Poor,et al.  Probabilistic Coherence and Proper Scoring Rules , 2007, IEEE Transactions on Information Theory.

[23]  Hilary Greaves Epistemic Decision Theory , 2013 .

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

[25]  Sergiu Hart,et al.  The Forgetful Passenger , 1997 .

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

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

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

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

[30]  N. Bostrom Observer-Relative Chances In Anthropic Reasoning? , 2000 .