The Reflection Principle

Edited by Anna Mahtani (London School of Economics, London School of Economics And Political Science)
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  1. Two-Dimensional Deference.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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  2. On Being a Random Sample.David Manley - manuscript
    It is well known that de se (or ‘self-locating’) propositions complicate the standard picture of how we should respond to evidence. This has given rise to a substantial literature centered around puzzles like Sleeping Beauty, Dr. Evil, and Doomsday—and it has also sparked controversy over a style of argument that has recently been adopted by theoretical cosmologists. These discussions often dwell on intuitions about a single kind of case, but it’s worth seeking a rule that can unify our treatment of (...)
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  3. 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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  4. Unbounded Expectations and the Shooting Room.Randall McCutcheon - manuscript
    Several treatments of the Shooting Room Paradox have failed to recognize the crucial role played by its involving a number of players unbounded in expectation. We indicate Reflection violations and/or Dutch Book vulnerabilities in extant ``solutions''and show that the paradox does not arise when the expected number of participants is finite; the Shooting Room thus takes its place in the growing list of puzzles that have been shown to require infinite expectation. Recognizing this fact, we conclude that prospects for a (...)
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  5. Random and Systematic Error in the Puzzle of the Unmarked Clock.Randall G. McCutcheon - manuscript
    A puzzle of an unmarked clock, used by Timothy Williamson to question the KK principle, was separately adapted by David Christensen and Adam Elga to critique a principle of Rational Reflection. Both authors, we argue, flout the received relationship between ideal agency and the classical distinction between systematic and random error, namely that ideal agents are subject only to the latter. As a result, these criticisms miss their mark.
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  6. Bayesian Beauty.Silvia Milano - forthcoming - Erkenntnis:1-20.
    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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  7. Accuracy-First Epistemology Without Additivity.Richard Pettigrew - forthcoming - Philosophy of Science.
    Accuracy arguments for the core tenets of Bayesian epistemology differ mainly in the conditions they place on the legitimate ways of measuring the inaccuracy of our credences. The best existing arguments rely on three conditions: Continuity, Additivity, and Strict Propriety. In this paper, I show how to strengthen the arguments based on these conditions by showing that the central mathematical theorem on which each depends goes through without assuming Additivity.
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  8. Bayesian Updating When What You Learn Might Be False.Richard Pettigrew - forthcoming - Erkenntnis:1-16.
    Michael Rescorla (2020) has recently pointed out that the standard arguments for Bayesian Conditionalization assume that whenever you take yourself to learn something with certainty, it's true. Most people would reject this assumption. In response, Rescorla offers an improved Dutch Book argument for Bayesian Conditionalization that does not make this assumption. My purpose in this paper is two-fold. First, I want to illuminate Rescorla's new argument by giving a very general Dutch Book argument that applies to many cases of updating (...)
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  9. Dutch Books and Logical Form.Joel Pust - forthcoming - Philosophy of Science.
    Dutch Book Arguments (DBAs) have been invoked to support various requirements of rationality. Some are plausible: probabilism and conditionalization. Others are less so: credal transparency and reflection. Anna Mahtani has argued for a new understanding of DBAs which, she claims, allow us to keep the DBAs for probabilism (and perhaps conditionalization) and reject the DBAs for credal transparency and reflection. I argue that Mahtani’s new account fails as (a) it does not support highly plausible requirements of rational coherence and (b) (...)
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  10. Evidence: A Guide for the Uncertain.Kevin Dorst - 2020 - Philosophy and Phenomenological Research 100 (3):586-632.
    Assume that it is your evidence that determines what opinions you should have. I argue that since you should take peer disagreement seriously, evidence must have two features. (1) It must sometimes warrant being modest: uncertain what your evidence warrants, and (thus) uncertain whether you’re rational. (2) But it must always warrant being guided: disposed to treat your evidence as a guide. Surprisingly, it is very difficult to vindicate both (1) and (2). But diagnosing why this is so leads to (...)
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  11. Basic‐Know And Super‐Know.Anna Mahtani - 2019 - Philosophy and Phenomenological Research 98 (2):375-391.
    Sometimes a proposition is ‘opaque’ to an agent: he doesn't know it, but he does know something about how coming to know it should affect his or her credence function. It is tempting to assume that a rational agent's credence function coheres in a certain way with his or her knowledge of these opaque propositions, and I call this the ‘Opaque Proposition Principle’. The principle is compelling but demonstrably false. I explain this incongruity by showing that the principle is ambiguous: (...)
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  12. Examinei Live: An Epistemological Exchange Between Philosophy and Cultural Psychology on Reflection.Waldomiro Silva Filho - 2019 - In W. & Tateo Silva-Filho (ed.), Thinking about Oneself. Chan, Switzerland: Springer. pp. 1-18.
    Since the famous passage in which Socrates (Plato 38a5-6) says that the unexamined, and therefore non-reflected, life is not worth living, “reflection” has been a diffuse and iterant term in ethics, moral philosophy, epistemology, political philosophy (Tiberius 2008; Skorupski 2010), but also in psychology (Marsico, Andrisano Ruggieri & Salvatore 2015). This chapter outlines the discussion of reflection and presents the book "Thinking about Onself", a volume that opens a new perspective on the topic of reflection, considering the most recent approaches (...)
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  13. Thinking About Oneself: The Place and Value of Reflection in Philosophy and Psychology.Waldomiro Silva Filho & Luca Tateo (eds.) - 2019 - Berlin: Springer Verlag.
    Since the famous passage in which Socrates (Plato 38a5-6) says that the unexamined, and therefore non-reflected, life is not worth living, “reflection” has been a diffuse and iterant term in ethics, moral philosophy, epistemology, political philosophy, but also in psychology. This volume opens a new perspective on the topic of reflection, considering the most recent approaches in both philosophy (namely in epistemology ) and cultural psychology.
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  14. The Externalist’s Guide to Fishing for Compliments.Bernhard Salow - 2018 - Mind 127 (507):691-728.
    Suppose you’d like to believe that p, whether or not it’s true. What can you do to help? A natural initial thought is that you could engage in Intentionally Biased Inquiry : you could look into whether p, but do so in a way that you expect to predominantly yield evidence in favour of p. This paper hopes to do two things. The first is to argue that this initial thought is mistaken: intentionally biased inquiry is impossible. The second is (...)
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  15. Chance, Credence and Circles.Fabrizio Cariani - 2017 - Episteme 14 (1):49-58.
    This is a discussion of Richard Pettigrew's book "Accuracy and the Laws of Credence". I target Pettigrew's application of the accuracy framework to derive chance-credence principles. My principal contention is that Pettigrew's preferred version of the argument might in one sense be circular and, moreover, that Pettigrew's premises have content that go beyond that of standard chance-credence principles.
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  16. Lost in Translation: Unknowable Propositions in Probabilistic Frameworks.Eleonora Cresto - 2017 - Synthese 194 (10):3955-3977.
    Some propositions are structurally unknowable for certain agents. Let me call them ‘Moorean propositions’. The structural unknowability of Moorean propositions is normally taken to pave the way towards proving a familiar paradox from epistemic logic—the so-called ‘Knowability Paradox’, or ‘Fitch’s Paradox’—which purports to show that if all truths are knowable, then all truths are in fact known. The present paper explores how to translate Moorean statements into a probabilistic language. A successful translation should enable us to derive a version of (...)
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  17. Deference, Respect and Intensionality.Anna Mahtani - 2016 - Philosophical Studies:1-21.
    This paper is about the standard Reflection Principle :235–256, 1984) and the Group Reflection Principle :478–502, 2007; Bovens and Rabinowicz in Episteme 8:281–300, 2011; Titelbaum in Quitting certainties: a Bayesian framework modeling degrees of belief, OUP, Oxford, 2012; Hedden in Mind 124:449–491, 2015). I argue that these principles are incomplete as they stand. The key point is that deference is an intensional relation, and so whether you are rationally required to defer to a person at a time can depend on (...)
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  18. Reflection and Self‐Trust.Aaron Bronfman - 2015 - Thought: A Journal of Philosophy 4 (2):75-82.
    The Reflection principle expresses a kind of epistemic deference to one's future self. There is a plausible intuitive argument to the effect that, if one believes one will reason well and gain information over time, then one ought to satisfy Reflection. There are also associated formal arguments that show that, if one's beliefs about one's current and future selves meet certain criteria, then one is committed by the axioms of probability to satisfy Reflection. The formal arguments, however, rely on an (...)
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  19. 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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  20. Reflecting on Finite Additivity.Leendert Huisman - 2015 - Synthese 192 (6):1785-1797.
    An infinite lottery experiment seems to indicate that Bayesian conditionalization may be inconsistent when the prior credence function is finitely additive because, in that experiment, it conflicts with the principle of reflection. I will show that any other form of updating credences would produce the same conflict, and, furthermore, that the conflict is not between conditionalization and reflection but, instead, between finite additivity and reflection. A correct treatment of the infinite lottery experiment requires a careful treatment of finite additivity. I (...)
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  21. Dutch Books, Coherence, and Logical Consistency.Anna Mahtani - 2015 - Noûs 49 (3):522-537.
    In this paper I present a new way of understanding Dutch Book Arguments: the idea is that an agent is shown to be incoherent iff he would accept as fair a set of bets that would result in a loss under any interpretation of the claims involved. This draws on a standard definition of logical inconsistency. On this new understanding, the Dutch Book Arguments for the probability axioms go through, but the Dutch Book Argument for Reflection fails. The question of (...)
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  22. In Search of Enlightenment by Reading Samuel Beckett’s Waiting for Godot.Syed Ismyl Mahmood Rizvi - 2015 - Literaria: An International Journal of New Literature Across the World 5 (1-2):37-55.
    Beckett’s philosophical indebtedness has long been recognised – especially in conjunction with Dante, Descartes and Geulincx. In this article, I examine Beckettian universal values of Enlightenment, which will be exposed as self-serving mystifications that rationalize and instrumentalize the meaning of life. In this context, the awareness of the Enlightenment nature of Beckett’s writing in Waiting for Godot will be analysed along with the freedom appeal of his reader as he strives to attain the enlightenment.
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  23. Deference Done Right.Richard Pettigrew & Michael G. Titelbaum - 2014 - Philosophers' Imprint 14:1-19.
    There are many kinds of epistemic experts to which we might wish to defer in setting our credences. These include: highly rational agents, objective chances, our own future credences, our own current credences, and evidential probabilities. But exactly what constraint does a deference requirement place on an agent's credences? In this paper we consider three answers, inspired by three principles that have been proposed for deference to objective chances. We consider how these options fare when applied to the other kinds (...)
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  24. Reflection, Conditionalization and Indeterminacy About the Future.Michael J. Shaffer - 2014 - The Reasoner 8:65-66.
    This paper shows that any view of future contingent claims that treats such claims as having indeterminate truth values or as simply being false implies probabilistic irrationality. This is because such views of the future imply violations of reflection, special reflection and conditionalization.
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  25. A Non-Factualist Defense of the Reflection Principle.Stephanie Beardman - 2013 - Synthese 190 (15):2981-2999.
    Are there plausible synchronic constraints on how a subject thinks of herself extended over time? At first glance, Bas van Fraassen’s principle of Reflection seems to prescribe the sort of epistemic authority one’s future self should be taken by one to have over one’s current epistemic states. (The gist of this principle is that I should now believe what I’m convinced I will believe tomorrow.) There has been a general consensus that, as a principle concerning epistemic authority, Reflection does not (...)
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  26. Expected Accuracy Supports Conditionalization—and Conglomerability and Reflection.Kenny Easwaran - 2013 - Philosophy of Science 80 (1):119-142.
    Expected accuracy arguments have been used by several authors (Leitgeb and Pettigrew, and Greaves and Wallace) to support the diachronic principle of conditionalization, in updates where there are only finitely many possible propositions to learn. I show that these arguments can be extended to infinite cases, giving an argument not just for conditionalization but also for principles known as ‘conglomerability’ and ‘reflection’. This shows that the expected accuracy approach is stronger than has been realized. I also argue that we should (...)
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  27. In Defense of Reflection.Simon M. Huttegger - 2013 - Philosophy of Science 80 (3):413-433.
  28. Bayesian Conditioning, the Reflection Principle, and Quantum Decoherence.Christopher A. Fuchs & Rüdiger Schack - 2012 - In Yemima Ben-Menahem & Meir Hemmo (eds.), Probability in Physics. Springer. pp. 233--247.
  29. Reflection, Disagreement, and Context.Edward Hinchman - 2012 - American Philosophical Quarterly 49 (2):95.
    How far, if at all, do our intrapersonal and our interpersonal epistemic obligations run in parallel? This paper treats the question as addressing the stability of doxastic commitment in the two dimensions. In the background lies an analogy between doxastic and practical commitment. We’ll pursue the question of doxastic stability by coining a doxastic analogue of Gregory Kavka’s much-discussed toxin case. In this new case, you foresee that you will rationally abandon a doxastic commitment by undergoing a shift in the (...)
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  30. Diachronic Dutch Book Arguments.Anna Mahtani - 2012 - Philosophical Review 121 (3):443-450.
    The Reflection Principle can be defended with a Diachronic Dutch Book Argument (DBA), but it is also defeated by numerous compelling counter-examples. It seems then that Diachronic DBAs can lead us astray. Should we reject them en masse—including Lewis’s Diachronic DBA for Conditionalization? Rachael Briggs’s “suppositional test” is supposed to differentiate between Diachronic DBAs that we can safely ignore (including the DBA for Reflection) and Diachronic DBAs that we should find compelling (including the DBA for Conditionalization). I argue that Brigg’s (...)
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  31. Rescuing Reflection.Ilho Park - 2012 - Philosophy of Science 79 (4):473-489.
    In this article, I suggest an argument that seems to show a conflict between the reflection principle and conditionalization. In particular, I show that when the reflection principle is formulated in a standard way, the principle conflicts with Jeffrey conditionalization. And it is argued that the source of the conflict resides in an ambiguity of the standard formulation. Furthermore, I attempt to rescue the principle using Bayes factors. That is, I suggest a new formulation of the principle so as to (...)
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  32. Coin Flips, Credences and the Reflection Principle.Brett Topey - 2012 - Analysis 72 (3):478-488.
    One recent topic of debate in Bayesian epistemology has been the question of whether imprecise credences can be rational. I argue that one account of imprecise credences, the orthodox treatment as defended by James M. Joyce, is untenable. Despite Joyce’s claims to the contrary, a puzzle introduced by Roger White shows that the orthodox account, when paired with Bas C. van Fraassen’s Reflection Principle, can lead to inconsistent beliefs. Proponents of imprecise credences, then, must either provide a compelling reason to (...)
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  33. Bets on Hats: On Dutch Books Against Groups, Degrees of Belief as Betting Rates, and Group-Reflection.Luc Bovens & Wlodek Rabinowicz - 2011 - Episteme 8 (3):281-300.
    The Puzzle of the Hats is a puzzle in social epistemology. It describes a situation in which a group of rational agents with common priors and common goals seems vulnerable to a Dutch book if they are exposed to different information and make decisions independently. Situations in which this happens involve violations of what might be called the Group-Reflection Principle. As it turns out, the Dutch book is flawed. It is based on the betting interpretation of the subjective probabilities, but (...)
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  34. Self-Respect Regained.Jake Chandler & Adam Rieger - 2011 - Proceedings of the Aristotelian Society 111 (2pt2):311-318.
    In a recent article, David Christensen casts aspersions on a restricted version of van Fraassen's Reflection principle, which he dubs ‘Self-Respect’(sr). Rejecting two possible arguments for sr, he concludes that the principle does not constitute a requirement of rationality. In this paper we argue that not only has Christensen failed to make a case against the aforementioned arguments, but that considerations pertaining to Moore's paradox indicate that sr, or at the very least a mild weakening thereof, is indeed a plausible (...)
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  35. Self‐Respect Regained.Adam Rieger Jake Chandler - 2011 - Proceedings of the Aristotelian Society 111 (2pt2):311-318.
    In a recent article, David Christensen casts aspersions on a restricted version of van Fraassen's Reflection principle, which he dubs ‘Self‐Respect’. Rejecting two possible arguments for sr, he concludes that the principle does not constitute a requirement of rationality. In this paper we argue that not only has Christensen failed to make a case against the aforementioned arguments, but that considerations pertaining to Moore's paradox indicate that sr, or at the very least a mild weakening thereof, is indeed a plausible (...)
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  36. The Puzzle of the Hats.Luc Bovens & Wlodek Rabinowicz - 2010 - Synthese 172 (1):57-78.
    The Puzzle of the Hats is a betting arrangement which seems to show that a Dutch book can be made against a group of rational players with common priors who act in the common interest and have full trust in the other players’ rationality. But we show that appearances are misleading—no such Dutch book can be made. There are four morals. First, what can be learned from the puzzle is that there is a class of situations in which credences and (...)
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  37. Rational Reflection.David Christensen - 2010 - Philosophical Perspectives 24 (1):121-140.
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  38. Philosophy of Probability: Contemporary Readings.Antony Eagle (ed.) - 2010 - Routledge.
    _Philosophy of Probability: Contemporary Readings_ is the first anthology to collect essential readings in this important area of philosophy. Featuring the work of leading philosophers in the field such as Carnap, Hájek, Jeffrey, Joyce, Lewis, Loewer, Popper, Ramsey, van Fraassen, von Mises, and many others, the book looks in depth at the following key topics: subjective probability and credence probability updating: conditionalization and reflection Bayesian confirmation theory classical, logical, and evidential probability frequentism physical probability: propensities and objective chances. The book (...)
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  39. Credence and Self-Location.Peter J. Lewis - 2010 - Synthese 175 (3):369-382.
    All parties to the Sleeping Beauty debate agree that it shows that some cherished principle of rationality has to go. Thirders think that it is Conditionalization and Reflection that must be given up or modified; halfers think that it is the Principal Principle. I offer an analysis of the Sleeping Beauty puzzle that allows us to retain all three principles. In brief, I argue that Sleeping Beauty’s credence in the uncentered proposition that the coin came up heads should be 1/2, (...)
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  40. Belief and the Will.Bas C. van Fraassen - 2010 - In Antony Eagle (ed.), Philosophy of Probability: Contemporary Readings. Routledge. pp. 235-256.
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  41. A Dutch Book for Group Decision-Making?Luc Bovens & Wlodek Rabinowicz - 2009 - In Benedikt Löwe, Eric Pacuit & Jan-Willem Romeijn (eds.), Foundations of the Formal Sciences Vi: Probabilistic Reasoning and Reasoning With Probabilities. Studies in Logic. London UK: College Publication. pp. 91-101.
    The Puzzle of the Hats is a betting arrangement which seems to show that a Dutch book can be made against a group of rational players with common priors who act in the common interest and have full trust in the other players’ rationality. But we show that appearances are misleading—no such Dutch book can be made. There are four morals. First, what can be learned from the puzzle is that there is a class of situations in which credences and (...)
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  42. Distorted Reflection.Rachael Briggs - 2009 - Philosophical Review 118 (1):59-85.
    Diachronic Dutch book arguments seem to support both conditionalization and Bas van Fraassen's Reflection principle. But the Reflection principle is vulnerable to numerous counterexamples. This essay addresses two questions: first, under what circumstances should an agent obey Reflection, and second, should the counterexamples to Reflection make us doubt the Dutch book for conditionalization? In response to the first question, this essay formulates a new "Qualified Reflection" principle, which states that an agent should obey Reflection only if he or she is (...)
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  43. The End of Sleeping Beauty’s Nightmare.Berry Groisman - 2008 - British Journal for the Philosophy of Science 59 (3):409-416.
    The way a rational agent changes her belief in certain propositions/hypotheses in the light of new evidence lies at the heart of Bayesian inference. The basic natural assumption, as summarized in van Fraassen's Reflection Principle, would be that in the absence of new evidence the belief should not change. Yet, there are examples that are claimed to violate this assumption. The apparent paradox presented by such examples, if not settled, would demonstrate the inconsistency and/or incompleteness of the Bayesian approach, and (...)
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  44. Avoiding Certain Frustration, Reflection, and the Cable Guy Paradox.Brian Kierland, Bradley Monton & Samuel Ruhmkorff - 2008 - Philosophical Studies 138 (3):317 - 333.
    We discuss the cable guy paradox, both as an object of interest in its own right and as something which can be used to illuminate certain issues in the theories of rational choice and belief. We argue that a crucial principle—The Avoid Certain Frustration (ACF) principle—which is used in stating the paradox is false, thus resolving the paradox. We also explain how the paradox gives us new insight into issues related to the Reflection principle. Our general thesis is that principles (...)
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  45. Epistemic Self-Respect.David Christensen - 2007 - Proceedings of the Aristotelian Society 107 (1pt3):319-337.
  46. Reflection and Disagreement.Adam Elga - 2007 - Noûs 41 (3):478–502.
    How should you take into account the opinions of an advisor? When you completely defer to the advisor's judgment, then you should treat the advisor as a guru. Roughly, that means you should believe what you expect she would believe, if supplied with your extra evidence. When the advisor is your own future self, the resulting principle amounts to a version of the Reflection Principle---a version amended to handle cases of information loss. When you count an advisor as an epistemic (...)
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  47. Personhood and Future Belief: Two Arguments for Something Like Reflection.Simon J. Evnine - 2007 - Erkenntnis 67 (1):91-110.
    This paper offers two new arguments for a version of Reflection, the principle that says, roughly, that if one knew now what one would believe in the future, one ought to believe it now. The most prominent existing argument for the principle is the coherence-based Dutch Strategy argument advanced by Bas van Fraassen (and others). My two arguments are quite different. The first is a truth-based argument. On the basis of two substantive premises, that people’s beliefs generally get better over (...)
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  48. Conditionalization, Reflection, and Self-Knowledge.Jonathan Weisberg - 2007 - Philosophical Studies 135 (2):179-197.
    Van Fraassen famously endorses the Principle of Reflection as a constraint on rational credence, and argues that Reflection is entailed by the more traditional principle of Conditionalization. He draws two morals from this alleged entailment. First, that Reflection can be regarded as an alternative to Conditionalization – a more lenient standard of rationality. And second, that commitment to Conditionalization can be turned into support for Reflection. Van Fraassen also argues that Reflection implies Conditionalization, thus offering a new justification for Conditionalization. (...)
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  49. Levi on Money Pumps and Diachronic Dutch Books.Wlodek Rabinowicz - 2006 - In Erik J. Olsson (ed.), Knowledge and Inquiry: Essays on the Pragmatism of Isaac Levi. Cambridge University Press.
    The paper's focus is on pragmatic arguments for various ‘rationality constraints’ on a decision maker’s state of mind: on his beliefs or preferences. An argument of this kind purports to show that a violator of a given constraint can be exposed to a decision problem in which he will act to his guaranteed disadvantage. Dramatically put, he can be exploited by a clever bookie who doesn’t know more than the agent himself. Examples of pragmatic arguments of this kind are synchronic (...)
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  50. Containing Multitudes: Reflection, Expertise and Persons as Groups.Simon J. Evnine - 2005 - Episteme 2 (1):57-64.
    The thesis of the paper is that persons are similar to a kind of group: multiple-expert epistemic unities (MEUs). MEUs are groups in which there are multiple experts on whom other members of the group model their opinion. An example would be a group of children playing Telephone. Any child nearer the source is an 'expert' for any child further away. I argue that, with certain important qualifications, it is both rational and necessary for persons to treat their future selves (...)
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