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Decision Theory as Philosophy

New York: Cambridge University Press (1996)

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  1. Distention for Sets of Probabilities.Rush T. Stewart & Michael Nielsen - 2022 - Philosophy of Science 89 (3):604-620.
    Bayesians often appeal to “merging of opinions” to rebut charges of excessive subjectivity. But what happens in the short run is often of greater interest than what happens in the limit. Seidenfeld and coauthors use this observation as motivation for investigating the counterintuitive short run phenomenon of dilation, since, they allege, dilation is “the opposite” of asymptotic merging of opinions. The measure of uncertainty relevant for dilation, however, is not the one relevant for merging of opinions. We explicitly investigate the (...)
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  • What Else Justification Could Be1.Martin Smith - 2010 - Noûs 44 (1):10-31.
    According to a captivating picture, epistemic justification is essentially a matter of epistemic or evidential likelihood. While certain problems for this view are well known, it is motivated by a very natural thought—if justification can fall short of epistemic certainty, then what else could it possibly be? In this paper I shall develop an alternative way of thinking about epistemic justification. On this conception, the difference between justification and likelihood turns out to be akin to the more widely recognised difference (...)
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  • The Normative Role of Knowledge.Declan Smithies - 2011 - Noûs 46 (2):265-288.
    What is the normative role of knowledge? I argue that knowledge plays an important role as a norm of assertion and action, which is explained and unified by its more fundamental role as a norm of belief. Moreover, I propose a distinctive account of what this normative role consists in. I argue that knowledge is the aim of belief, which sets a normative standard of correctness and a corresponding normative standard of justification. According to my proposal, it is correct to (...)
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  • Respecting Evidence: Belief Functions not Imprecise Probabilities.Nicholas J. J. Smith - 2022 - Synthese 200 (475):1-30.
    The received model of degrees of belief represents them as probabilities. Over the last half century, many philosophers have been convinced that this model fails because it cannot make room for the idea that an agent’s degrees of belief should respect the available evidence. In its place they have advocated a model that represents degrees of belief using imprecise probabilities (sets of probability functions). This paper presents a model of degrees of belief based on Dempster–Shafer belief functions and then presents (...)
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  • Risky belief.Martin Smith - 2022 - Philosophy and Phenomenological Research 106 (3):597-611.
    In this paper I defend the claim that justification is closed under conjunction, and confront its most alarming consequence — that one can have justification for believing propositions that are unlikely to be true, given one's evidence.
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  • 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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  • Dutch books and agent rationality.Daniel Silber - 1999 - Theory and Decision 47 (3):247-266.
    According to the Dutch Book Argument (DBA), if an agent's subjective probabilities fail to satisfy the axioms of the probability calculus and so make the agent vulnerable to a Dutch Book, the agent's subjective probabilities are incoherent and the agent is therefore irrational. Critics of DBA have argued, however, that probabilistic incoherence is compatible with various kinds of rationality – logico-semantic, epistemic, instrumental and prudential. In this paper, I provide an interpretation of DBA on which it is true that probabilistic (...)
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  • Evidence and the openness of knowledge.Assaf Sharon & Levi Spectre - 2017 - Philosophical Studies 174 (4):1001-1037.
    The paper argues that knowledge is not closed under logical inference. The argument proceeds from the openness of evidential support and the dependence of empirical knowledge on evidence, to the conclusion that knowledge is open. Without attempting to provide a full-fledged theory of evidence, we show that on the modest assumption that evidence cannot support both a proposition and its negation, or, alternatively, that information that reduces the probability of a proposition cannot constitute evidence for its truth, the relation of (...)
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  • Reification as dependence on extrinsic information.Julius Sensat - 1996 - Synthese 109 (3):361 - 399.
    Marx criticized political economy for propounding an inverted, mystical view of economic reality. But he went beyond asserting the falsity and apologetic character of the doctrine to characterize it as reflecting a social practice of inversion or mystification — an inverted social world — in which individuals incorporate their own actions into a process whose dynamic lies beyond their control. Caught up in this process, individuals confront aspects of their own agency in the alien or reified form of a given, (...)
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  • Chilling out on epistemic rationality: A defense of imprecise credences.Miriam Schoenfield - 2012 - Philosophical Studies 158 (2):197-219.
    A defense of imprecise credences (and other imprecise doxastic attitudes).
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  • Book review. [REVIEW]Michael Schütte - 2007 - Erkenntnis 67 (1):143-146.
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  • An Improved Dutch Book Theorem for Conditionalization.Michael Rescorla - 2022 - Erkenntnis 87 (3):1013-1041.
    Lewis proved a Dutch book theorem for Conditionalization. The theorem shows that an agent who follows any credal update rule other than Conditionalization is vulnerable to bets that inflict a sure loss. Lewis’s theorem is tailored to factive formulations of Conditionalization, i.e. formulations on which the conditioning proposition is true. Yet many scientific and philosophical applications of Bayesian decision theory require a non-factive formulation, i.e. a formulation on which the conditioning proposition may be false. I prove a Dutch book theorem (...)
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  • A Puzzle About Ineffable Propositions.Agustín Rayo - 2011 - Australasian Journal of Philosophy 89 (2):289 - 295.
    I will argue for localism about credal assignments: the view that credal assignments are well-defined only relative to suitably constrained sets of possibilities. I will motivate the position by suggesting that it is the best way of addressing a puzzle devised by Roger White.
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  • A Conflict between Indexical Credal Transparency and Relevance Confirmation.Joel Pust - 2021 - Philosophy of Science 88 (3):385-397.
    According to the probabilistic relevance account of confirmation, E confirms H relative to background knowledge K just in case P(H/K&E) > P(H/K). This requires an inequality between the rational degree of belief in H determined relative to two bodies of total knowledge which are such that one (K&E) includes the other (K) as a proper part. In this paper, I argue that it is quite plausible that there are no two possible bodies of total knowledge for ideally rational agents meeting (...)
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  • Testimony and the epistemic uncertainty of interpretation.Andrew Peet - 2016 - Philosophical Studies 173 (2):395-416.
    In the epistemology of testimony it is often assumed that audiences are able to reliably recover asserted contents. In the philosophy of language this claim is contentious. This paper outlines one problem concerning the recovery of asserted contents, and argues that it prevents audiences from gaining testimonial knowledge in a range of cases. The recovery problem, in essence, is simply that due to the collective epistemic limitations of the speaker and audience speakers will, in certain cases, be insensitive to the (...)
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  • Sceptical Theism and the Paradox of Evil.Luis R. G. Oliveira - 2020 - Australasian Journal of Philosophy 98 (2):319-333.
    Given plausible assumptions about the nature of evidence and undercutting defeat, many believe that the force of the evidential problem of evil depends on sceptical theism’s being false: if evil is...
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  • Requirements of intention in light of belief.Carlos Núñez - 2020 - Philosophical Studies 177 (9):2471-2492.
    Much work in the philosophy of action in the last few decades has focused on the elucidation and justification of a series of purported norms of practical rationality that concern the presence or absence of intention in light of belief, and that demand a kind of structural coherence in the psychology of an agent. Examples of such norms include: Intention Detachment, which proscribes intending to do something in case some condition obtains, believing that such condition obtains, and not intending to (...)
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  • What evidence do you have?Ram Neta - 2008 - British Journal for the Philosophy of Science 59 (1):89-119.
    Your evidence constrains your rational degrees of confidence both locally and globally. On the one hand, particular bits of evidence can boost or diminish your rational degree of confidence in various hypotheses, relative to your background information. On the other hand, epistemic rationality requires that, for any hypothesis h, your confidence in h is proportional to the support that h receives from your total evidence. Why is it that your evidence has these two epistemic powers? I argue that various proposed (...)
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  • Saving epistemology from the epistemologists: recent work in the theory of knowledge.Adam Morton - 2000 - British Journal for the Philosophy of Science 51 (4):685-704.
    This is a very selective survey of developments in epistemology, concentrating on work from the past twenty years that is of interest to philosophers of science. The selection is organized around interesting connections between distinct themes. I first connect issues about skepticism to issues about the reliability of belief-acquiring processes. Next I connect discussions of the defeasibility of reasons for belief to accounts of the theory-independence of evidence. Then I connect doubts about Bayesian epistemology to issues about the content of (...)
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  • A new puzzle about belief and credence.Andrew Moon - 2019 - Canadian Journal of Philosophy 49 (2):272-291.
    I present a puzzle about belief and credence, which takes the form of three independently supported views that are mutually inconsistent. The first is the view that S has a modal belief that p (e.g., S believes that probably-p) if and only if S has a corresponding credence that p. The second is the view that S believes that p only if S has some credence that p. The third is the view that, possibly, S believes that p without a (...)
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  • Bayesian agnosticism and constructive empiricism.Bradley Monton - 1998 - Analysis 58 (3):207–212.
    This paper addresses the question: how should the traditional doxastic attitude of agnosticism be represented in a Bayesian framework? Bas van Fraassen has one proposal: a Bayesian is agnostic about a proposition if her opinion about the proposition is represented by a probability interval with zero as the lower limit. I argue that van Fraassen's proposal is not adequate. Mark Kaplan claims that this leads to a problem with constructive empiricism; I show that Kaplan's claim is incorrect.
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  • What is the Normative Role of Logic?Peter Milne - 2009 - Aristotelian Society Supplementary Volume 83 (1):269-298.
    In making assertions one takes on commitments to the consistency of what one asserts and to the logical consequences of what one asserts. Although there is no quick link between belief and assertion, the dialectical requirements on assertion feed back into normative constraints on those beliefs that constitute one's evidence. But if we are not certain of many of our beliefs and that uncertainty is modelled in terms of probabilities, then there is at least prima facie incoherence between the normative (...)
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  • Vague Credence.Aidan Lyon - 2017 - Synthese 194 (10):3931-3954.
    It is natural to think of precise probabilities as being special cases of imprecise probabilities, the special case being when one’s lower and upper probabilities are equal. I argue, however, that it is better to think of the two models as representing two different aspects of our credences, which are often vague to some degree. I show that by combining the two models into one model, and understanding that model as a model of vague credence, a natural interpretation arises that (...)
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  • Cut-off points for the rational believer.Lina Maria Lissia - 2022 - Synthese 200 (2):1-19.
    I show that the Lottery Paradox is just a version of the Sorites, and argue that this should modify our way of looking at the Paradox itself. In particular, I focus on what I call “the Cut-off Point Problem” and contend that this problem, well known by Sorites scholars, ought to play a key role in the debate on Kyburg’s puzzle. Very briefly, I show that, in the Lottery Paradox, the premises “ticket n°1 will lose”, “ticket n°2 will lose”… “ticket (...)
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  • Calibrated probabilities and the epistemology of disagreement.Barry Lam - 2013 - Synthese 190 (6):1079-1098.
    This paper assesses the comparative reliability of two belief-revision rules relevant to the epistemology of disagreement, the Equal Weight and Stay the Course rules. I use two measures of reliability for probabilistic belief-revision rules, calibration and Brier Scoring, to give a precise account of epistemic peerhood and epistemic reliability. On the calibration measure of reliability, epistemic peerhood is easy to come by, and employing the Equal Weight rule generally renders you less reliable than Staying the Course. On the Brier-Score measure (...)
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  • This paper surely contains some errors.Brian Kim - 2015 - Philosophical Studies 172 (4):1013-1029.
    The preface paradox can be motivated by appealing to a plausible inference from an author’s reasonable assertion that her book is bound to contain errors to the author’s rational belief that her book contains errors. By evaluating and undermining the validity of this inference, I offer a resolution of the paradox. Discussions of the preface paradox have surprisingly failed to note that expressions of fallibility made in prefaces typically employ terms such as surely, undoubtedly, and bound to be. After considering (...)
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  • A dilemma for the imprecise bayesian.Namjoong Kim - 2016 - Synthese 193 (6):1681-1702.
    Many philosophers regard the imprecise credence framework as a more realistic model of probabilistic inferences with imperfect empirical information than the traditional precise credence framework. Hence, it is surprising that the literature lacks any discussion on how to update one’s imprecise credences when the given evidence itself is imprecise. To fill this gap, I consider two updating principles. Unfortunately, each of them faces a serious problem. The first updating principle, which I call “generalized conditionalization,” sometimes forces an agent to change (...)
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  • In defense of modest probabilism.Mark Kaplan - 2010 - Synthese 176 (1):41 - 55.
    Orthodox Probabilists hold that an inquirer ought to harbor a precise degree of confidence in each hypothesis about which she is concerned. Modest Probabilism is one of a family doctrines inspired by the thought that Orthodox Probabilists are thereby demanding that an inquirer effect a precision that is often unwarranted by her evidence. The purpose of this essay is (i) to explain the particular way in which Modest Probabilism answers to this thought, and (ii) to address an alleged counterexample to (...)
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  • Why Credences Are Not Beliefs.Elizabeth Jackson - 2022 - Australasian Journal of Philosophy 100 (2):360-370.
    A question of recent interest in epistemology and philosophy of mind is how belief and credence relate to each other. A number of philosophers argue for a belief-first view of the relationship between belief and credence. On the belief-first view, what it is to have a credence just is to have a particular kind of belief, that is, a belief whose content involves probabilities or epistemic modals. Here, I argue against the belief-first view: specifically, I argue that it cannot account (...)
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  • The Relationship Between Belief and Credence.Elizabeth G. Jackson - 2020 - Philosophy Compass 15 (6):1–13.
    Sometimes epistemologists theorize about belief, a tripartite attitude on which one can believe, withhold belief, or disbelieve a proposition. In other cases, epistemologists theorize about credence, a fine-grained attitude that represents one’s subjective probability or confidence level toward a proposition. How do these two attitudes relate to each other? This article explores the relationship between belief and credence in two categories: descriptive and normative. It then explains the broader significance of the belief-credence connection and concludes with general lessons from the (...)
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  • Probing the Mind of God: Divine Beliefs and Credences.Elizabeth Jackson & Justin Mooney - 2022 - Religious Studies 58 (1):S61–S75.
    Although much has been written about divine knowledge, and some on divine beliefs, virtually nothing has been written about divine credences. In this essay we comparatively assess four views on divine credences: (1) God has only beliefs, not credences; (2) God has both beliefs and credences; (3) God has only credences, not beliefs; and (4) God has neither credences nor beliefs, only knowledge. We weigh the costs and benefits of these four views and draw connections to current discussions in philosophical (...)
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  • How Belief-Credence Dualism Explains Away Pragmatic Encroachment.Elizabeth Jackson - 2019 - Philosophical Quarterly 69 (276):511-533.
    Belief-credence dualism is the view that we have both beliefs and credences and neither attitude is reducible to the other. Pragmatic encroachment is the view that practical stakes can affect the epistemic rationality of states like knowledge or justified belief. In this paper, I argue that dualism offers a unique explanation of pragmatic encroachment cases. First, I explain pragmatic encroachment and what motivates it. Then, I explain dualism and outline a particular argument for dualism. Finally, I show how dualism can (...)
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  • Belief, Credence, and Evidence.Elizabeth Jackson - 2020 - Synthese 197 (11):5073-5092.
    I explore how rational belief and rational credence relate to evidence. I begin by looking at three cases where rational belief and credence seem to respond differently to evidence: cases of naked statistical evidence, lotteries, and hedged assertions. I consider an explanation for these cases, namely, that one ought not form beliefs on the basis of statistical evidence alone, and raise worries for this view. Then, I suggest another view that explains how belief and credence relate to evidence. My view (...)
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  • Belief and Credence: Why the Attitude-Type Matters.Elizabeth Grace Jackson - 2019 - Philosophical Studies 176 (9):2477-2496.
    In this paper, I argue that the relationship between belief and credence is a central question in epistemology. This is because the belief-credence relationship has significant implications for a number of current epistemological issues. I focus on five controversies: permissivism, disagreement, pragmatic encroachment, doxastic voluntarism, and the relationship between doxastic attitudes and prudential rationality. I argue that each debate is constrained in particular ways, depending on whether the relevant attitude is belief or credence. This means that epistemologists should pay attention (...)
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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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  • Ramsey's Foundations Extended to Desirabilities.Jordan Howard Sobel - 1998 - Theory and Decision 44 (3):231-278.
    In his Truth and Probability (1926), Frank Ramsey provides foundations for measures of degrees of belief in propositions and preferences for worlds. Nonquantitative conditions on preferences for worlds, and gambles for worlds and certain near-worlds, are formulated which he says insure that a subject's preferences for worlds are represented by numbers, world values. Numbers, for his degrees of belief in propositions, probabilities, are then defined in terms of his world values. Ramsey does not also propose definitions of desirabilities for propositions, (...)
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  • Partial belief, partial intention.Richard Holton - 2008 - Mind 117 (465):27-58.
    Is a belief that one will succeed necessary for an intention? It is argued that the question has traditionally been badly posed, framed as it is in terms of all-out belief. We need instead to ask about the relation between intention and partial belief. An account of partial belief that is more psychologically realistic than the standard credence account is developed. A notion of partial intention is then developed, standing to all-out intention much as partial belief stands to all-out belief. (...)
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  • The Thomas-Nolt Dispute: Some Lessons about Induction.David Hitchcock - 1999 - Informal Logic 19 (2).
    I resolve an apparently unresolved dispute about how probable uniform experience makes an extrapolation from it, and draw some general lessons about such enumerative induction. Uniform experience does not necessarily confer a high probability on an extrapolation of or generalization from that experience. Rational extrapolation or generalization typically involves a lot of specific background information, though not necessarily a general assumption that nature is uniform or that the future will resemble the past. And new evidence which is highly likely on (...)
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  • Justification and the knowledge-connection.Jaakko Hirvelä - 2021 - Philosophical Studies 179 (6):1973-1995.
    I will present a novel account of justification in terms of knowledge on which one is justified in believing p just in case one could know that p. My main aim is to unravel some of the formal properties that justification has in virtue of its connection to knowledge. Assuming that safety is at least a necessary condition for knowledge, I show that justification doesn’t iterate trivially; isn’t a luminous condition; is closed under a certain kind of multi-premise closure principle, (...)
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  • Philosophy as a Unifying Discipline.Sven Ove Hansson - 2001 - Theoria 67 (2):93-95.
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  • Restoring ambiguity to Achinstein's account of evidence.Steven Gimbel - 2004 - British Journal for the Philosophy of Science 55 (2):269-285.
    , Peter Achinstein argues against the long-standing claim that ‘evidence’ is ambiguous in possessing a sense of confirming evidence and a sense of supporting evidence. He argues that explications of supporting evidence will necessarily violate his contentions that evidence is a discontinuous ‘threshold concept’ and that any philosophical account of supporting evidence will be too weak to be useful to working scientists. But an account of supporting evidence may be formulated which includes Achinstein's notion of epistemic thresholds that finds examples (...)
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  • Belief’s minimal rationality.Marianna Bergamaschi Ganapini - 2020 - Philosophical Studies 177 (11):3263-3282.
    Many of our beliefs behave irrationally: this is hardly news to anyone. Although beliefs’ irrational tendencies need to be taken into account, this paper argues that beliefs necessarily preserve at least a minimal level of rationality. This view offers a plausible picture of what makes belief unique and will help us to set beliefs apart from other cognitive attitudes.
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  • A matter of opinion.Keith Frankish - 1998 - Philosophical Psychology 11 (4):423-442.
    This paper sets out the case for a two-level theory of human psychology. It takes its start from Daniel Dennett.
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  • Evidence, pragmatics, and justification.Jeremy Fantl & Matthew McGrath - 2002 - Philosophical Review 111 (1):67-94.
    Evidentialism is the thesis that epistemic justification for belief supervenes on evidential support. However, we claim there are cases in which, even though two subjects have the same evidential support for a proposition, only one of them is justified. What make the difference are pragmatic factors, factors having to do with our cares and concerns. Our argument against evidentialism is not based on intuitions about particular cases. Rather, we aim to provide a theoretical basis for rejecting evidentialism by defending a (...)
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  • Nelkin on the lottery paradox.Igor Douven - 2003 - Philosophical Review 112 (3):395-404.
    As part of an exceptionally lucid analysis of the Lottery Paradox, Dana Nelkin castigates the solutions to that paradox put forward by Laurence Bonjour and Sharon Ryan. According to her, these are “so finely tailored to lottery-like cases that they are limited in their ability to explain [what seem the intuitively right responses to such cases]”. She then offers a solution to the Lottery Paradox that allegedly has the virtue of being independently motivated by our intuitions regarding certain non-lottery-like cases. (...)
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  • Nelkin on the Lottery Paradox.Igor Douven - 2003 - Philosophical Review 112 (3):395-404.
    As part of an exceptionally lucid analysis of the Lottery Paradox, Dana Nelkin castigates the solutions to that paradox put forward by Laurence Bonjour and Sharon Ryan. According to her, these are “so finely tailored to lottery-like cases that they are limited in their ability to explain [what seem the intuitively right responses to such cases]”. She then offers a solution to the Lottery Paradox that allegedly has the virtue of being independently motivated by our intuitions regarding certain non-lottery-like cases. (...)
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  • Assertion, knowledge, and rational credibility.Igor Douven - 2006 - Philosophical Review 115 (4):449-485.
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  • Lockeans Maximize Expected Accuracy.Kevin Dorst - 2019 - Mind 128 (509):175-211.
    The Lockean Thesis says that you must believe p iff you’re sufficiently confident of it. On some versions, the 'must' asserts a metaphysical connection; on others, it asserts a normative one. On some versions, 'sufficiently confident' refers to a fixed threshold of credence; on others, it varies with proposition and context. Claim: the Lockean Thesis follows from epistemic utility theory—the view that rational requirements are constrained by the norm to promote accuracy. Different versions of this theory generate different versions of (...)
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  • Consequences of Comparability.Cian Dorr, Jacob M. Nebel & Jake Zuehl - 2021 - Philosophical Perspectives 35 (1):70-98.
    We defend three controversial claims about preference, credence, and choice. First, all agents (not just rational ones) have complete preferences. Second, all agents (again, not just rational ones) have real-valued credences in every proposition in which they are confident to any degree. Third, there is almost always some unique thing we ought to do, want, or believe.
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  • Imprecise Probabilities.Seamus Bradley - 2019 - Stanford Encyclopedia of Philosophy.
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