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Summary The Sleeping Beauty Problem concerns a perfectly rational agent who is put to sleep for two days. Depending on the toss of a fair coin, she is awakened once (Heads) or twice (Tails). However, after each waking, she is put back to sleep with a drug that erases her memories of the waking. The question which constitutes the problem is this: "When she is first awakened, what degree of belief will she have that the outcome of the coin toss is Heads?" The problem has proven exceedingly difficult to solve and attracts attention both for its intrinsic interest and because of the many connections between the correct answer to the problem and a wide variety of other philosophical topics including: the status of chance-credence and frequency-credence principles, the evidential relevance of essentially indexical information, the acceptability of conditionalization principles, the proper understanding of Dutch Book arguments, the status of indifference principles, and the proper interpretation of quantum mechanics.
Key works The problem was first raised in the philosophical literature by Elga 2000, who defended the 1/3 answer. Lewis 2001 responded, defending the 1/2 answer.  Important early papers defending 1/3 include Arntzenius 2003, Dorr 2002, Horgan 2004, and Hitchcock 2004. Important early papers defending 1/2 include White 2006 and Meacham 2008. The literature has since exploded in size.
Introductions Elga 2000Titelbaum 2013
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  1. Sleeping Beauty Remains Undecided.Marc Burock - manuscript
    The Sleeping Beauty problem remains controversial with disagreement between so-called Halfers and Thirders, although the Thirders appear to be leading these days. I analyze three popular arguments for the Thirder position, including the long-run frequency argument, Egla’s ‘symmetry’ argument, and new-information arguments, and find problems with each. The long-run frequency argument is almost unequivocally thought to strongly support Thirders, but in formalizing the argument for an arbitrary number of repetitions, I show that the expected proportion of Heads-Awakenings for a single-trial (...)
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  2. Too clever by halving.Tim Button, Daniel Rothschild & Levi Spectre - manuscript
    We argue against the halving response to Sleeping Beauty. First, we outline an appealing constraint on probability assignments: the Principle of Irrelevant Information. Roughly, this says: if you don’t know whether C, but you would assign probability p to X regardless of whether C or not-C, then you should assign p to X. This Principle is deeply plausible, but we show that it contradicts halving. Second, we show that halving either violates solid statistical reasoning or draws absurd distinctions.
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  3. Expert Deference De Se.J. Dmitri Gallow - manuscript
    Principles of expert deference say that you should align your credences with those of an expert. This expert could be your doctor, the objective chances, or your future self, after you've learnt something new. These kinds of principles face difficulties in cases in which you are uncertain of the truth-conditions of the thoughts in which you invest credence, as well as cases in which the thoughts have different truth-conditions for you and the expert. For instance, you shouldn't defer to your (...)
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  4. Revealing the Beauty behind the Sleeping Beauty Problem.Ioannis Mariolis - manuscript
    A large number of essays address the Sleeping Beauty problem, which undermines the validity of Bayesian inference and Bas Van Fraassen's 'Reflection Principle'. In this study a straightforward analysis of the problem based on probability theory is presented. The key difference from previous works is that apart from the random experiment imposed by the problem's description, a different one is also considered, in order to negate the confusion on the involved conditional probabilities. The results of the analysis indicate that no (...)
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  5. Rational Credences are Private.Randall G. McCutcheon - manuscript
    Anti-expertise, or self-defeating belief, leads to incoherent personal credences. Some philosophers think that anti-expertise is irrational but avoidable, others think that some cases of anti-expertise are rational, and still others think that anti-expertise is irrational and unavoidable. Taking as premises some standard assumptions about the Sleeping Beauty Problem, I prove that if Beauty maintains public credences then she is prone to anti-expertise unless she embraces optimism, i.e. denies that she will experience multiple awakenings if tails.
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  6. Self-locating belief and the goal of accuracy.Richard Pettigrew - manuscript
    The goal of a partial belief is to be accurate, or close to the truth. By appealing to this norm, I seek norms for partial beliefs in self-locating and non-self-locating propositions. My aim is to find norms that are analogous to the Bayesian norms, which, I argue, only apply unproblematically to partial beliefs in non-self-locating propositions. I argue that the goal of a set of partial beliefs is to minimize the expected inaccuracy of those beliefs. However, in the self-locating framework, (...)
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  7. Doomsday and objective chance.Teruji Thomas - manuscript
    Lewis’s Principal Principle says that one should usually align one’s credences with the known chances. In this paper I develop a version of the Principal Principle that deals well with some exceptional cases related to the distinction between metaphysical and epistemic modal­ity. I explain how this principle gives a unified account of the Sleeping Beauty problem and chance-­based principles of anthropic reasoning. In doing so, I defuse the Doomsday Argument that the end of the world is likely to be nigh. (...)
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  8. Laying Sleeping Beauty to Rest.Masahiro Yamada - manuscript
    There are three main points of the paper. 1. There are straightforward ways of manipulating expected gains and losses that result in a divergence between fair betting odds and credence. Such manipulations are familiar from tools of finance. One can easily see that the Sleeping Beauty case is structured in such a way as to result in a divergence between fair betting odds and credence. 2. The inspection of credences and betting odds in certain betting situations shows that the two (...)
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  9. Perspective Reasoning and the Solution to the Sleeping Beauty Problem.Xianda Gao - 2018
    This paper proposes a new explanation for the paradoxes related to anthropic reasoning. Solutions to the Sleeping Beauty Problem and the Doomsday argument are discussed in detail. The main argument can be summarized as follows: -/- Our thoughts, reasonings and narratives inherently comes from a certain perspective. With each perspective there is a center, or using the term broadly, a self. The natural first-person perspective is most primitive. However we can also think and express from others’ perspectives with a theory (...)
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  10. Two-Dimensional De Se Chance Deference.J. Dmitri Gallow - forthcoming - Australasian Journal of Philosophy.
    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 principle of chance deference which handles these problem cases. This principle has a surprising consequence for Adam Elga's Sleeping Beauty Puzzle.
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  11. Sleeping Beauty and the Evidential Centered Principle.Namjoong Kim - forthcoming - Erkenntnis:1-23.
    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 (...)
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  12. Sleeping Beauty's Evidence.Jeffrey Sanford Russell - forthcoming - In Maria Lasonen-Aarnio & Clayton M. Littlejohn (eds.), The Routledge Handbook of the Philosophy of Evidence. Routledge.
    What degrees of belief does Sleeping Beauty's evidence support? That depends.
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  13. Sleeping Beauty: Awakenings, Chance, Secrets, and Video.Nathan Salmón - forthcoming - In Alessandro Capone, Roberto Graci & Pietro Perconti (eds.), New Frontiers in Pragmalinguistic Studies. Springer Nature.
    A new philosophical analysis is provided of the notorious Sleeping Beauty Problem. It is argued that the correct solution is one-third, but not in the way previous philosophers have typically meant this. A modified version of the Problem demonstrates that neither self-locating information nor amnesia is relevant to the core Problem, which is simply to evaluate the conditional chance of heads given an undated Monday-or-Tuesday awakening. Previous commentators have failed to appreciate the significance of the information that Beauty gains upon (...)
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  14. Simulation and self-location.Don Fallis & Peter J. Lewis - 2023 - Synthese 202 (6):1-13.
    It is possible that you are living in a simulation—that your world is computer-generated rather than physical. But how likely is this scenario? Bostrom and Chalmers each argue that it is moderately likely—neither very likely nor very unlikely. However, they adopt an unorthodox form of reasoning about self-location uncertainty. Our main contention here is that Bostrom’s and Chalmers’ premises, when combined with orthodoxy about self-location, yields instead the conclusion that you are almost certainly living in a simulation. We consider how (...)
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  15. No Double-Halfer Embarrassment: A Reply to Titelbaum.Joel Pust - 2023 - Analytic Philosophy 64 (3):346-354.
    “Double-halfers” think that throughout the Sleeping Beauty Scenario, Beauty ought to maintain a credence of 1/2 in the proposition that the fair coin toss governing the experimental protocol comes up heads. Titelbaum (2012) introduces a novel variation on the standard scenario, one involving an additional coin toss, and claims that the double-halfer is committed to the absurd and embarrassing result that Beauty’s credence in an indexical proposition concerning the outcome of a future fair coin toss is not 1/2. I argue (...)
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  16. Immortal Beauty: Does Existence Confirm Reincarnation?Jens Jäger - 2022 - Australasian Journal of Philosophy 100 (4):789-807.
    I argue that a popular view about self-locating evidence implies that there are cases in which agents have surprisingly strong evidence for their own reincarnation. The central case is an ‘Immortal Beauty' scenario, modelled after the well-known Sleeping Beauty puzzle. I argue that if the popular ‘thirder’ solution to the puzzle is correct, then Immortal Beauty should be confident that she's going to be reincarnated. The essay also examines another pro-reincarnation argument due to Michael Huemer (2021). I argue that his (...)
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  17. Sleeping beauty and the current chance evidential immodest dominance axiom.Namjoong Kim - 2022 - Synthese 200 (6):1-27.
    Concerning the notorious Sleeping Beauty problem, philosophers have debated whether 1/2 or 1/3 is rational as Beauty’s credence in the coin’s landing heads. According to Kierland and Monton, the answer depends on whether her goal is to minimize average or total inaccuracy because, while the expected average inaccuracy of Halfing is smaller than that of Thirding, the expected total inaccuracy of Thirding is lower than that of Halfing. In this paper, I argue that Halfing is average accuracy dominated but Thirding (...)
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  18. Time-Slice Rationality and Self-Locating Belief.David Builes - 2020 - Philosophical Studies 177 (10):3033-3049.
    The epistemology of self-locating belief concerns itself with how rational agents ought to respond to certain kinds of indexical information. I argue that those who endorse the thesis of Time-Slice Rationality ought to endorse a particular view about the epistemology of self-locating belief, according to which ‘essentially indexical’ information is never evidentially relevant to non-indexical matters. I close by offering some independent motivations for endorsing Time-Slice Rationality in the context of the epistemology of self-locating belief.
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  19. Limitation of analogy in the Sleeping Beauty debate: the case of Singer’s argument.Namjoong Kim - 2020 - Synthese 198 (11):10513-10528.
    Ever since Elga presented his famous puzzle of Sleeping Beauty, philosophers have debated between the Thirder and the Halfer positions. In his recent article, Daniel Singer proposes a new position, according to which Beauty ought to assign [0, 1/2] to the coin’s landing heads. For this argument, he exploits the similarity between Elga’s original puzzle and Bovens’s modified one. According to Singer, Beauty ought to assign the same credence to H in both versions of Sleeping Beauty. Since Beauty ought to (...)
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  20. A Dutch book for CDT thirders.Theodore Korzukhin - 2020 - Synthese 198 (12):11925-11941.
    I give a Dutch book argument for CDT thirders in the context of a generalized Sleeping Beauty scenario. In combination with the Briggs (2010) Dutch book for EDT thirders, this amounts to a purely decision-theoretic argument for halfing in Sleeping Beauty. In combination with the Hitchcock (2004) Dutch book for CDT halfers, this amounts to a Dutch book argument against CDT. The combined Dutch book against CDT invites a plausible diagnosis of the reasons for CDT’s failure: CDT is incompatible with (...)
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  21. Sleeping Beauty: Exploring a Neglected Solution.Laureano Luna - 2020 - British Journal for the Philosophy of Science 71 (3):1069-1092.
    The strong law of large numbers and considerations concerning additional information strongly suggest that Beauty upon awakening has probability 1/3 to be in a heads-awakening but should still believe the probability that the coin landed heads in the Sunday toss to be 1/2. The problem is that she is in a heads-awakening if and only if the coin landed heads. So, how can she rationally assign different probabilities or credences to propositions she knows imply each other? This is the problem (...)
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  22. Bayesian Beauty.Silvia Milano - 2020 - Erkenntnis 87 (2):657-676.
    The Sleeping Beauty problem has attracted considerable attention in the literature as a paradigmatic example of how self-locating 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 (...)
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  23. The Nature of Contingency: Quantum Physics as Modal Realism.Alastair Wilson - 2020 - Oxford, UK: Oxford University Press.
    This book defends a radical new theory of contingency as a physical phenomenon. Drawing on the many-worlds approach to quantum theory and cutting-edge metaphysics and philosophy of science, it argues that quantum theories are best understood as telling us about the space of genuine possibilities, rather than as telling us solely about actuality. When quantum physics is taken seriously in the way first proposed by Hugh Everett III, it provides the resources for a new systematic metaphysical framework encompassing possibility, necessity, (...)
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  24. The Snow White problem.Sylvia Wenmackers - 2019 - Synthese 196 (10):4137-4153.
    The Snow White problem is introduced to demonstrate how learning something of which one could not have learnt the opposite (due to observer selection bias) can change an agent’s probability assignment. This helps us to analyse the Sleeping Beauty problem, which is deconstructed as a combinatorial engine and a subjective wrapper. The combinatorial engine of the problem is analogous to Bertrand’s boxes paradox and can be solved with standard probability theory. The subjective wrapper is clarified using the Snow White problem. (...)
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  25. Beauty, odds, and credence.Masahiro Yamada - 2019 - Philosophical Studies 176 (5):1247-1261.
    This paper considers fair betting odds for certain bets that might be placed in the situation discussed in the so-called Sleeping Beauty Problem. This paper examines what Thirders, Halfers, and Double Halfers must say about the odds as determined by various decision theoretic approaches and argues that Thirders and Halfers have difficulties formulating plausible and coherent positions concerning the relevant betting odds. Double Halfers do not face this problem and that is an important consideration in favor of Double Halfers.
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  26. Self‐Locating Evidence and the Metaphysics of Time.David Builes - 2018 - Philosophy and Phenomenological Research 99 (2):478-490.
    I argue that different views in the metaphysics of time make different observational predictions in both classical and relativistic cases. Because different views in the metaphysics of time differ over which facts are merely indexical facts, they make different observational predictions about certain self-locating propositions. I argue for this thesis by distinguishing the three main updating procedures that apply in cases of self-locating uncertainty, and I present a series of cases which cumulatively show that every one of these updating procedures (...)
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  27. Agreement and Updating For Self-Locating Belief.Michael Caie - 2018 - Journal of Philosophical Logic 47 (3):513-547.
    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.
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  28. Self-Locating Beliefs.Michael Huemer - 2018 - In Paradox Lost. Palgrave Macmillan. pp. 219-243.
    Beauty is put to sleep and woken up either once or twice, depending on the flip of a coin; after each waking, she will fall asleep and forget having woken. Upon waking, what should be her credence that the coin came up heads? Some say 1/2; others say 1/3. I propose that evidence supports a theory for you when your having that qualitative evidence would be more likely if the theory were true than if it were false. This view supports (...)
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  29. A Logical Analysis of Monty Hall and Sleeping Beauty.Allen L. Mann & Ville Aarnio - 2018 - Studia Logica 106 (6):1123-1162.
    Hintikka and Sandu’s independence-friendly logic is a conservative extension of first-order logic that allows one to consider semantic games with imperfect information. In the present article, we first show how several variants of the Monty Hall problem can be modeled as semantic games for IF sentences. In the process, we extend IF logic to include semantic games with chance moves and dub this extension stochastic IF logic. Finally, we use stochastic IF logic to analyze the Sleeping Beauty problem, leading to (...)
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  30. When Sleeping Beauty First Awakes.David Atkinson & Jeanne Peijnenburg - 2017 - Logique Et Analyse 238:129-150.
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  31. Even for objectivists, sleeping beauty isn’t so simple.Kai Draper - 2017 - Analysis 77 (1):29-37.
    Writing collectively as the Oscar Seminar in 2008, John Pollock and several colleagues advance an objectivist argument for a 1/3 solution to the Sleeping Beauty problem. In 2011, Joel Pust raises a serious objection to their argument to which Paul D. Thorn, a member of the Oscar Seminar, offers a subtle reply. I argue that the Oscar Seminar s argument for 1/3 is unsound. I do not, however, defend Pust’s objection. Rather I develop a new objection, one that is not (...)
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  32. The Exchange Continued: Response to Pust's Response to my Reply.Terry Horgan - 2017 - In Essays on Paradoxes. New York, USA: Oxford University Press USA. pp. 226-224.
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  33. Essays on Paradoxes.Terry Horgan - 2017 - Oxford, England: Oxford University Press USA.
    This volume brings together Terence Horgan's essays on paradoxes, both published and new. A common theme unifying these essays is that philosophically interesting paradoxes typically resist either easy solutions or solutions that are formally/mathematically highly technical. Another unifying theme is that such paradoxes often have deep-sometimes disturbing-philosophical morals.
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  34. The Sleeping Beauty Controversy.Peter Winkler - 2017 - The American Mathematical Monthly 124:589-587.
    In 2000, Adam Elga posed the following problem: -/- Some researchers are going to put you to sleep. During the two days that your sleep will last, they will briefly wake you up either once or twice, depending on the toss of a fair coin (Heads: once; Tails: twice). After each waking, they will put you back to sleep with a drug that makes you forget that waking. When you are first awakened, to what degree ought you believe that the (...)
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  35. Agreement theorems for self-locating belief.Michael Caie - 2016 - Review of Symbolic Logic 9 (2):380-407.
  36. Sleeping Beauty in a grain of rice.David Haig - 2016 - Biology and Philosophy 31 (1):23-37.
    In the Sleeping Beauty problem, Beauty is woken once if a coin lands heads or twice if the coin lands tails but promptly forgets each waking on returning to sleep. Philosophers have divided over whether her waking credence in heads should be a half or a third. Beauty has centered beliefs about her world and about her location in that world. When given new information about her location she should update her worldly beliefs before updating her locative beliefs. When she (...)
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  37. Self-locating Uncertainty and the Origin of Probability in Everettian Quantum Mechanics.Charles T. Sebens & Sean M. Carroll - 2016 - British Journal for the Philosophy of Science (1):axw004.
    A longstanding issue in attempts to understand the Everett (Many-Worlds) approach to quantum mechanics is the origin of the Born rule: why is the probability given by the square of the amplitude? Following Vaidman, we note that observers are in a position of self-locating uncertainty during the period between the branches of the wave function splitting via decoherence and the observer registering the outcome of the measurement. In this period it is tempting to regard each branch as equiprobable, but we (...)
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  38. Everettian Confirmation and Sleeping Beauty: Reply to Wilson.Darren Bradley - 2015 - British Journal for the Philosophy of Science 66 (3):683-693.
    In Bradley, I offered an analysis of Sleeping Beauty and the Everettian interpretation of quantum mechanics. I argued that one can avoid a kind of easy confirmation of EQM by paying attention to observation selection effects, that halfers are right about Sleeping Beauty, and that thirders cannot avoid easy confirmation for the truth of EQM. Wilson agrees with my analysis of observation selection effects in EQM, but goes on to, first, defend Elga’s thirder argument on Sleeping Beauty and, second, argue (...)
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  39. A devastating example for the Halfer Rule.Vincent Conitzer - 2015 - Philosophical Studies 172 (8):1985-1992.
    How should we update de dicto beliefs in the face of de se evidence? The Sleeping Beauty problem divides philosophers into two camps, halfers and thirders. But there is some disagreement among halfers about how their position should generalize to other examples. A full generalization is not always given; one notable exception is the Halfer Rule, under which the agent updates her uncentered beliefs based on only the uncentered part of her evidence. In this brief article, I provide a simple (...)
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  40. Can rational choice guide us to correct de se beliefs?Vincent Conitzer - 2015 - Synthese 192 (12):4107-4119.
    Significant controversy remains about what constitute correct self-locating beliefs in scenarios such as the Sleeping Beauty problem, with proponents on both the “halfer” and “thirder” sides. To attempt to settle the issue, one natural approach consists in creating decision variants of the problem, determining what actions the various candidate beliefs prescribe, and assessing whether these actions are reasonable when we step back. Dutch book arguments are a special case of this approach, but other Sleeping Beauty games have also been constructed (...)
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  41. A Dutch book against sleeping beauties who are evidential decision theorists.Vincent Conitzer - 2015 - Synthese 192 (9):2887-2899.
    In the context of the Sleeping Beauty problem, it has been argued that so-called “halfers” can avoid Dutch book arguments by adopting evidential decision theory. I introduce a Dutch book for a variant of the Sleeping Beauty problem and argue that evidential decision theorists fall prey to it, whether they are halfers or thirders. The argument crucially requires that an action can provide evidence for what the agent would do not only at other decision points where she has exactly the (...)
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  42. The Role of the Protocol in Anthropic Reasoning.Joseph Y. Halpern - 2015 - Ergo: An Open Access Journal of Philosophy 2:195-206.
    I show how thinking in terms of the protocol used can help clarify problems related to anthropic reasoning and self-location, such as the Doomsday Argument and the Sleeping Beauty Problem.
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  43. Generalized Conditionalization and the Sleeping Beauty Problem, II.Terry Horgan - 2015 - Erkenntnis 80 (4):811-839.
    In “Generalized Conditionalization and the Sleeping Beauty Problem,” Anna Mahtani and I offer a new argument for thirdism that relies on what we call “generalized conditionalization.” Generalized conditionalization goes beyond conventional conditionalization in two respects: first, by sometimes deploying a space of synchronic, essentially temporal, candidate-possibilities that are not “prior” possibilities; and second, by allowing for the use of preliminary probabilities that arise by first bracketing, and then conditionalizing upon, “old evidence.” In “Beauty and Conditionalization: Reply to Horgan and Mahtani,” (...)
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  44. Titelbaum’s Theory of De Se Updating and Two Versions of Sleeping Beauty.Namjoong Kim - 2015 - Erkenntnis 80 (6):1217-1236.
    In his “Relevance of Self-locating Belief”, Titelbaum suggests a general theory about how to update one’s degrees of self-locating belief. He applies it to the Sleeping Beauty problem, more specifically, Lewis’s :171–176, 2001) version of that problem. By doing so, he defends the Thirder solution to the puzzle. Unfortunately, if we modify the puzzle very slightly, and if we apply his general updating theory to the thus modified version, we get the Halfer view as a result. In this paper, we (...)
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  45. When Beauties Disagree: Why Halfers Should Affirm Robust Perspectivalism.John Pittard - 2015 - Oxford Studies in Epistemology 5.
    In this paper I present a variant of the “Sleeping Beauty” case that shows that the “halfer” approach to the original Sleeping Beauty problem is incompatible with an extremely plausible principle pertaining to cases of disagreement. This principle says that, in “nonpermissive” contexts, the weight you give to a disputant’s view ought to be proportional to your estimation of the strength of the disputant’s epistemic position with respect to the disputed proposition. In requiring such proportionality, the principle denies the possibility (...)
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  46. Lost memories and useless coins: revisiting the absentminded driver.Wolfgang Schwarz - 2015 - Synthese 192 (9):3011-3036.
    The puzzle of the absentminded driver combines an unstable decision problem with a version of the Sleeping Beauty problem. Its analysis depends on the choice between “halfing” and “thirding” as well as that between “evidential” and “causal” decision theory. I show that all four combinations lead to interestingly different solutions, and draw some general lessons about the formulation of causal decision theory, the interpretation of mixed strategies and the connection between rational credence and objective chance.
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  47. Belief Update across Fission.Wolfgang Schwarz - 2015 - British Journal for the Philosophy of Science 66 (3):659-682.
    When an agent undergoes fission, how should the beliefs of the fission results relate to the pre-fission beliefs? This question is important for the Everett interpretation of quantum mechanics, but it is of independent philosophical interest. Among other things, fission scenarios demonstrate that ‘self-locating’ information can affect the probability of uncentred propositions even if an agent has no essentially self-locating uncertainty. I present a general update rule for centred beliefs that gives sensible verdicts in cases of fission, without relying on (...)
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  48. Reply to Kim’s “Two Versions of Sleeping Beauty”.Michael G. Titelbaum - 2015 - Erkenntnis 80 (6):1237-1243.
    I begin by discussing a conundrum that arises when Bayesian models attempt to assess the relevance of one claim to another. I then explain how my formal modeling framework manages this conundrum. Finally, I apply my modeling methodology to respond to Namjoong Kim’s objection to my framework.
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  49. Beauty and Generalized Conditionalization: Reply to Horgan and Mahtani.Joel Pust - 2014 - Erkenntnis 79 (3):687-700.
    Horgan and Mahtani (Erkenntnis 78: 333–351, 2013) present a new argument for the 1/3 answer to the Sleeping Beauty problem resting on a principle for updating probabilities which they call “generalized conditionalization.” They allege that this new argument is immune to two attacks which have been recently leveled at other arguments for thirdism. I argue that their new argument rests on a probability distribution which is (a) no more justified than an alternative distribution favoring a different answer to the problem, (...)
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  50. Sleeping beauty should be imprecise.Daniel Jeremy Singer - 2014 - Synthese 191 (14):3159-3172.
    The traditional solutions to the Sleeping Beauty problem say that Beauty should have either a sharp 1/3 or sharp 1/2 credence that the coin flip was heads when she wakes. But Beauty’s evidence is incomplete so that it doesn’t warrant a precise credence, I claim. Instead, Beauty ought to have a properly imprecise credence when she wakes. In particular, her representor ought to assign \(R(H\!eads)=[0,1/2]\) . I show, perhaps surprisingly, that this solution can account for the many of the intuitions (...)
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