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Belief and the Will

Journal of Philosophy 81 (5):235-256 (1984)

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  1. Conservatism and Uniqueness.Jaemin Jung - 2016 - Philosophical Studies 173 (8):2233-2248.
    Credal Conservatism says that an agent’s credal states should be conserved as far as possible when she undergoes a learning experience. Uniqueness says that for any given total evidence, there is a unique credal state that any agent with that total evidence should have. Epistemic Impartiality is the idea that there are no significant differences between intrapersonal and interpersonal rationality requirements when determining what credal states one ought to have for purposes of epistemic evaluation. I construe Epistemic Impartiality as a (...)
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  • A defense of imprecise credences in inference and decision making1.James M. Joyce - 2010 - Philosophical Perspectives 24 (1):281-323.
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  • Are Newcomb problems really decisions?James M. Joyce - 2006 - Synthese 156 (3):537-562.
    Richard Jeffrey long held that decision theory should be formulated without recourse to explicitly causal notions. Newcomb problems stand out as putative counterexamples to this ‘evidential’ decision theory. Jeffrey initially sought to defuse Newcomb problems via recourse to the doctrine of ratificationism, but later came to see this as problematic. We will see that Jeffrey’s worries about ratificationism were not compelling, but that valid ratificationist arguments implicitly presuppose causal decision theory. In later work, Jeffrey argued that Newcomb problems are not (...)
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  • The influence of financial practice in developing mathematical probability: Submitted for a special edition of Synthese, “Enabling mathematical cultures”.Timothy Johnson - 2020 - Synthese 198 (Suppl 26):6291-6331.
    The purpose of this paper is to discuss the role of financial practice in the development of mathematics as applied in human judgement. The basis of the paper is in historical research from the 1990s that argues that the monetisation of western commerce, which abstracted value into quantified price, was synthesised with scholastic analysis resulting in a “mathematical mechanistic world picture” that led to the widespread use of mathematics in science from the seventeenth century. An aspect of this process was (...)
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  • Non-Measurability, Imprecise Credences, and Imprecise Chances.Yoaav Isaacs, Alan Hájek & John Hawthorne - 2021 - Mind 131 (523):892-916.
    – We offer a new motivation for imprecise probabilities. We argue that there are propositions to which precise probability cannot be assigned, but to which imprecise probability can be assigned. In such cases the alternative to imprecise probability is not precise probability, but no probability at all. And an imprecise probability is substantially better than no probability at all. Our argument is based on the mathematical phenomenon of non-measurable sets. Non-measurable propositions cannot receive precise probabilities, but there is a natural (...)
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  • Introduction.Brad Armendt - 1995 - Philosophical Studies 77 (1):1-6.
    Introduction to 'Belief and Probability,' issue of Philosophical Studies, January 1995. Remarks on contents, including van Fraassen, 'Belief and the Problem of Ulysses and the Sirens,' Skyrms, 'Strict Coherence, Sigma Coherence and the Metaphysics of Quantity,' Jeffrey, 'Probability Reparation,' de Finetti, 'The Logic of Probability,' Kolmogorov, 'Complete Metric Boolean Algebras,' 4 more.
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  • What are conditional probabilities conditional upon?Keith Hutchison - 1999 - British Journal for the Philosophy of Science 50 (4):665-695.
    This paper rejects a traditional epistemic interpretation of conditional probability. Suppose some chance process produces outcomes X, Y,..., with probabilities P(X), P(Y),... If later observation reveals that outcome Y has in fact been achieved, then the probability of outcome X cannot normally be revised to P(X|Y) ['P&Y)/P(Y)]. This can only be done in exceptional circumstances - when more than just knowledge of Y-ness has been attained. The primary reason for this is that the weight of a piece of evidence varies (...)
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  • Merging of opinions and probability kinematics.Simon M. Huttegger - 2015 - Review of Symbolic Logic 8 (4):611-648.
    We explore the question of whether sustained rational disagreement is possible from a broadly Bayesian perspective. The setting is one where agents update on the same information, with special consideration being given to the case of uncertain information. The classical merging of opinions theorem of Blackwell and Dubins shows when updated beliefs come and stay closer for Bayesian conditioning. We extend this result to a type of Jeffrey conditioning where agents update on evidence that is uncertain but solid. However, merging (...)
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  • Learning experiences and the value of knowledge.Simon M. Huttegger - 2014 - Philosophical Studies 171 (2):279-288.
    Generalized probabilistic learning takes place in a black-box where present probabilities lead to future probabilities by way of a hidden learning process. The idea that generalized learning can be partially characterized by saying that it doesn’t foreseeably lead to harmful decisions is explored. It is shown that a martingale principle follows for finite probability spaces.
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  • In Defense of Reflection.Simon M. Huttegger - 2013 - Philosophy of Science 80 (3):413-433.
    I discuss two ways of justifying reflection principles. First, I propose that an undogmatic reading of dynamic Dutch book arguments provides them with a sound foundation. Second, I show also that minimizing expected inaccuracy leads to a novel argument for reflection principles. The required inaccuracy measures comprise a natural class of functions that can be derived from a generalization of a condition known as propriety or immodesty. This shows that reflection principles are an essential feature not just of consistent degrees (...)
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  • Generalized Learning and Conditional Expectation.Simon M. Huttegger & Michael Nielsen - 2020 - Philosophy of Science 87 (5):868-883.
    Reflection and martingale principles are central to models of rational learning. They can be justified in a variety of ways. In what follows we study martingale and reflection principles in the con...
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  • 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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  • Theories of probability.Colin Howson - 1995 - British Journal for the Philosophy of Science 46 (1):1-32.
    My title is intended to recall Terence Fine's excellent survey, Theories of Probability [1973]. I shall consider some developments that have occurred in the intervening years, and try to place some of the theories he discussed in what is now a slightly longer perspective. Completeness is not something one can reasonably hope to achieve in a journal article, and any selection is bound to reflect a view of what is salient. In a subject as prone to dispute as this, there (...)
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  • Logic and probability.Colin Howson - 1997 - British Journal for the Philosophy of Science 48 (4):517-531.
    This paper argues that Ramsey's view of the calculus of subjective probabilities as, in effect, logical axioms is the correct view, with powerful heuristic value. This heuristic value is seen particularly in the analysis of the role of conditionalization in the Bayesian theory, where a semantic criterion of synchronic coherence is employed as the test of soundness, which the traditional formulation of conditionalization fails. On the other hand, there is a generally sound rule which supports conditionalization in appropriate contexts, though (...)
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  • Bayesian rules of updating.Colin Howson - 1996 - Erkenntnis 45 (2-3):195 - 208.
    This paper discusses the Bayesian updating rules of ordinary and Jeffrey conditionalisation. Their justification has been a topic of interest for the last quarter century, and several strategies proposed. None has been accepted as conclusive, and it is argued here that this is for a good reason; for by extending the domain of the probability function to include propositions describing the agent's present and future degrees of belief one can systematically generate a class of counterexamples to the rules. Dynamic Dutch (...)
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  • A logic of induction.Colin Howson - 1997 - Philosophy of Science 64 (2):268-290.
    In this paper, I present a simple and straightforward logic of induction: a consequence relation characterized by a proof theory and a semantics. This system will be called LI. The premises will be restricted to, on the one hand, a set of empirical data and, on the other hand, a set of background generalizations. Among the consequences will be generalizations as well as singular statements, some of which may serve as predictions and explanations.
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  • Sleeping beauty awakened: New odds at the dawn of the new day.Terry Horgan - 2004 - Analysis 64 (1):10–21.
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  • Sleeping Beauty awakened: new odds at the dawn of the new day.T. Horgan - 2004 - Analysis 64 (1):10-21.
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  • Defaults with Priorities.John Horty - 2007 - Journal of Philosophical Logic 36 (4):367-413.
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  • Triviality Pursuit.Alan Hájek - 2011 - Topoi 30 (1):3-15.
    The thesis that probabilities of conditionals are conditional probabilities has putatively been refuted many times by so-called ‘triviality results’, although it has also enjoyed a number of resurrections. In this paper I assault it yet again with a new such result. I begin by motivating the thesis and discussing some of the philosophical ramifications of its fluctuating fortunes. I will canvas various reasons, old and new, why the thesis seems plausible, and why we should care about its fate. I will (...)
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  • The reference class problem is your problem too.Alan Hájek - 2007 - Synthese 156 (3):563--585.
    The reference class problem arises when we want to assign a probability to a proposition (or sentence, or event) X, which may be classified in various ways, yet its probability can change depending on how it is classified. The problem is usually regarded as one specifically for the frequentist interpretation of probability and is often considered fatal to it. I argue that versions of the classical, logical, propensity and subjectivist interpretations also fall prey to their own variants of the reference (...)
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  • Deliberation welcomes prediction.Alan Hájek - 2016 - Episteme 13 (4):507-528.
    According to the so-called ‘deliberation crowds out prediction’ thesis, while deliberating about what you’ll do, you cannot rationally have credences for what you’ll do – you cannot rationally have option-credences. Versions of the thesis have been defended by authors such as Spohn, Levi, Gilboa, Price, Louise, and others. After registering a number of concerns about the thesis, I rehearse and rebut many of the main arguments for it, grouped according to their main themes: agency, vacuity, betting, and decision-theoretical considerations. I (...)
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  • Causal explanation and scientific realism.Christopher Hitchcock - 1992 - Erkenntnis 37 (2):151 - 178.
    It is widely believed that many of the competing accounts of scientific explanation have ramifications which are relevant to the scientific realism debate. I claim that the two issues are orthogonal. For definiteness, I consider Cartwright's argument that causal explanations secure belief in theoretical entities. In Section I, van Fraassen's anti-realism is reviewed; I argue that this anti-realism is, prima facie, consistent with a causal account of explanation. Section II reviews Cartwright's arguments. In Section III, it is argued that causal (...)
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  • Beauty and the bets.Christopher Hitchcock - 2004 - Synthese 139 (3):405 - 420.
    In the Sleeping Beauty problem, Beauty is uncertain whether the outcome of a certain coin toss was heads or tails. One argument suggests that her degree of belief in heads should be 1/3, while a second suggests that it should be 1/2. Prima facie, the argument for 1/2 appears to be stronger. I offer a diachronic Dutch Book argument in favor of 1/3. Even for those who are not routinely persuaded by diachronic Dutch Book arguments, this one has some important (...)
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  • The diachronic coherence of ungraded beliefs.Matthias Hild - 1999 - Erkenntnis 50 (2-3):225-242.
    This paper works within a model of ungraded belief that characterizes epistemic states as logically closed and consistent sets of sentences. The aim of this paper is to discuss three diachronic coherence conditions for such beliefs. These coherence conditions are formulated in terms of the reasoner's present beliefs about how his present beliefs will evolve in the future, for instance, in response to different pieces of future evidence.
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  • The coherence argument against conditionalization.Matthias Hild - 1998 - Synthese 115 (2):229-258.
    I re-examine Coherence Arguments (Dutch Book Arguments, No Arbitrage Arguments) for diachronic constraints on Bayesian reasoning. I suggest to replace the usual game–theoretic coherence condition with a new decision–theoretic condition ('Diachronic Sure Thing Principle'). The new condition meets a large part of the standard objections against the Coherence Argument and frees it, in particular, from a commitment to additive utilities. It also facilitates the proof of the Converse Dutch Book Theorem. I first apply the improved Coherence Argument to van Fraassen's (...)
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  • Auto-epistemology and updating.Matthias Hild - 1998 - Philosophical Studies 92 (3):321-361.
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  • The dialectics of infinitism and coherentism: inferential justification versus holism and coherence.Frederik Herzberg - 2014 - Synthese 191 (4):701-723.
    This paper formally explores the common ground between mild versions of epistemological coherentism and infinitism; it proposes—and argues for—a hybrid, coherentist–infinitist account of epistemic justification. First, the epistemological regress argument and its relation to the classical taxonomy regarding epistemic justification—of foundationalism, infinitism and coherentism—is reviewed. We then recall recent results proving that an influential argument against infinite regresses of justification, which alleges their incoherence on account of probabilistic inconsistency, cannot be maintained. Furthermore, we prove that the Principle of Inferential Justification (...)
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  • Options and Diachronic Tragedy.Brian Hedden - 2013 - Philosophy and Phenomenological Research 90 (2):423-451.
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  • Incoherence without Exploitability.Brian Hedden - 2011 - Noûs 47 (3):482-495.
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  • Kristoffer Ahlstrom-Vij and Jeffrey Dunn (Eds.), 2018, Epistemic Consequentialism: Oxford: Oxford University Press, 2018, 335 pages, $77.00.Peter Hartl - 2020 - Philosophia 48 (3):1273-1281.
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  • 'I'll Be Glad I Did It' Reasoning and the Significance of Future Desires.Elizabeth Harman - 2009 - Philosophical Perspectives 23 (1):177-199.
    We use “I’ll be glad I did it” reasoning all the time. For example, last night I was trying to decide whether to work on this paper or go out to a movie. I realized that if I worked on the paper, then today I would be glad I did it. Whereas, if I went out to the movie, today I would regret it. This enabled me to see that I should work on the paper rather than going out to (...)
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  • Bayesian chance.William Harper, Sheldon J. Chow & Gemma Murray - 2012 - Synthese 186 (2):447-474.
    This paper explores how the Bayesian program benefits from allowing for objective chance as well as subjective degree of belief. It applies David Lewis’s Principal Principle and David Christensen’s principle of informed preference to defend Howard Raiffa’s appeal to preferences between reference lotteries and scaling lotteries to represent degrees of belief. It goes on to outline the role of objective lotteries in an application of rationality axioms equivalent to the existence of a utility assignment to represent preferences in Savage’s famous (...)
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  • Fair Countable Lotteries and Reflection.Casper Storm Hansen - 2022 - Acta Analytica 37 (4):595-610.
    The main conclusion is this conditional: If the principle of reflection is a valid constraint on rational credences, then it is not rational to have a uniform credence distribution on a countable outcome space. The argument is a variation on some arguments that are already in the literature, but with crucial differences. The conditional can be used for either a modus ponens or a modus tollens; some reasons for thinking that the former is most reasonable are given.
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  • How to set a surprise exam.Ned Hall - 1999 - Mind 108 (432):647-703.
    The professor announces a surprise exam for the upcoming week; her clever student purports to demonstrate by reductio that she cannot possibly give such an exam. Diagnosing his puzzling argument reveals a deeper puzzle: Is the student justified in believing the announcement? It would seem so, particularly if the upcoming 'week' is long enough. On the other hand, a plausible principle states that if, at the outset, the student is justified in believing some proposition, then he is also justified in (...)
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  • The Cable Guy paradox.A. Hajek - 2005 - Analysis 65 (2):112-119.
    The Cable Guy is coming. You have to be home in order for him to install your new cable service, but to your chagrin he cannot tell you exactly when he will come. He will definitely come between 8.a.m. and 4 p.m. tomorrow, but you have no more information than that. I offer to keep you company while you wait. To make things more interesting, we decide now to bet on the Cable Guy’s arrival time. We subdivide the relevant part (...)
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  • 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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  • Understanding Deutsch's probability in a deterministic universe.Hilary Greaves - 2004 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 35 (3):423-456.
    Difficulties over probability have often been considered fatal to the Everett interpretation of quantum mechanics. Here I argue that the Everettian can have everything she needs from `probability' without recourse to indeterminism, ignorance, primitive identity over time or subjective uncertainty: all she needs is a particular *rationality principle*. The decision-theoretic approach recently developed by Deutsch and Wallace claims to provide just such a principle. But, according to Wallace, decision theory is itself applicable only if the correct attitude to a future (...)
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  • Reflections on reflection: Van Fraassen on belief.Mitchell S. Green & Christopher R. Hitchcock - 1994 - Synthese 98 (2):297 - 324.
    In Belief and the Will, van Fraassen employed a diachronic Dutch Book argument to support a counterintuitive principle called Reflection. There and subsequently van Fraassen has put forth Reflection as a linchpin for his views in epistemology and the philosophy of science, and for the voluntarism (first-person reports of subjective probability are undertakings of commitments) that he espouses as an alternative to descriptivism (first-person reports of subjective probability are merely self-descriptions). Christensen and others have attacked Reflection, taking it to have (...)
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  • Attitude ascription's affinity to measurement.Mitchell S. Green - 1999 - International Journal of Philosophical Studies 7 (3):323-348.
    The relation between two systems of attitude ascription that capture all the empirically significant aspects of an agents thought and speech may be analogous to that between two systems of magnitude ascription that are equivalent relative to a transformation of scale. If so, just as an objects weighing eight pounds doesnt relate that object to the number eight (for a different but equally good scale would use a different number), similarly an agents believing that P need not relate her to (...)
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  • The total evidence theorem for probability kinematics.Paul R. Graves - 1989 - Philosophy of Science 56 (2):317-324.
    L. J. Savage and I. J. Good have each demonstrated that the expected utility of free information is never negative for a decision maker who updates her degrees of belief by conditionalization on propositions learned for certain. In this paper Good's argument is generalized to show the same result for a decision maker who updates her degrees of belief on the basis of uncertain information by Richard Jeffrey's probability kinematics. The Savage/Good result is shown to be a special case of (...)
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  • Updating for Externalists.J. Dmitri Gallow - 2021 - Noûs 55 (3):487-516.
    The externalist says that your evidence could fail to tell you what evidence you do or not do have. In that case, it could be rational for you to be uncertain about what your evidence is. This is a kind of uncertainty which orthodox Bayesian epistemology has difficulty modeling. For, if externalism is correct, then the orthodox Bayesian learning norms of conditionalization and reflection are inconsistent with each other. I recommend that an externalist Bayesian reject conditionalization. In its stead, I (...)
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  • No one can serve two epistemic masters.J. Dmitri Gallow - 2018 - Philosophical Studies 175 (10):2389-2398.
    Consider two epistemic experts—for concreteness, let them be two weather forecasters. Suppose that you aren’t certain that they will issue identical forecasts, and you would like to proportion your degrees of belief to theirs in the following way: first, conditional on either’s forecast of rain being x, you’d like your own degree of belief in rain to be x. Secondly, conditional on them issuing different forecasts of rain, you’d like your own degree of belief in rain to be some weighted (...)
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  • Diachronic Dutch Books and Evidential Import.J. Dmitri Gallow - 2019 - Philosophy and Phenomenological Research 99 (1):49-80.
    A handful of well-known arguments (the 'diachronic Dutch book arguments') rely upon theorems establishing that, in certain circumstances, you are immune from sure monetary loss (you are not 'diachronically Dutch bookable') if and only if you adopt the strategy of conditionalizing (or Jeffrey conditionalizing) on whatever evidence you happen to receive. These theorems require non-trivial assumptions about which evidence you might acquire---in the case of conditionalization, the assumption is that, if you might learn that e, then it is not the (...)
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  • Shafer on conditional probability.Bas C. Fraassen - 1983 - Journal of Philosophical Logic 12 (4):467 - 470.
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  • A pragmatic, existentialist approach to the scientific realism debate.Curtis Forbes - 2017 - Synthese 194 (9):3327-3346.
    It has become apparent that the debate between scientific realists and constructive empiricists has come to a stalemate. Neither view can reasonably claim to be the most rational philosophy of science, exclusively capable of making sense of all scientific activities. On one prominent analysis of the situation, whether we accept a realist or an anti-realist account of science actually seems to depend on which values we antecedently accept, rather than our commitment to “rationality” per se. Accordingly, several philosophers have attempted (...)
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  • A “Good” Explanation of Five Puzzles about Reasons.Stephen Finlay - 2019 - Philosophical Perspectives 33 (1):62-104.
    This paper champions the view (REG) that the concept of a normative reason for an agent S to perform an action A is that of an explanation why it would be good (in some way, to some degree) for S to do A. REG has numerous virtues, but faces some significant challenges which prompt many philosophers to be skeptical that it can correctly account for all our reasons. I demonstrate how five different puzzles about normative reasons can be solved by (...)
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  • 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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  • Epistemic unities.Simon J. Evnine - 2003 - Erkenntnis 59 (3):365 - 388.
    I bring together social ontology and social epistemology by consideringsocial entities (``epistemic unities'') that are constituted by the holdingof epistemic relations between their members. In particular, I focus onthe relation of taking someone as an expert. Among the types of structuresexamined are ones with a single expert and one or more non-experts whomay or may not know of each other's situation; and ones with more thanone expert, including cases in which the relation between the experts ishierarchical and cases in which (...)
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  • 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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