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Four arguments for denying that lottery beliefs are justified

In Douven, I. ed. Lotteries, Knowledge and Rational Belief: Essays on the Lottery Paradox (Cambridge: Cambridge University Press) (2021)

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  1. Winners and Losers in the Folk Epistemology of Lotteries.John Turri & Ori Friedman - forthcoming - In James Beebe (ed.), Advances in Experimental Epistemology. London, United Kingdom: pp. 45-69.
    We conducted five experiments that reveal some main contours of the folk epistemology of lotteries. The folk tend to think that you don't know that your lottery ticket lost, based on the long odds ("statistical cases"); by contrast, the folk tend to think that you do know that your lottery ticket lost, based on a news report ("testimonial cases"). We evaluate three previous explanations for why people deny knowledge in statistical cases: the justification account, the chance account, and the statistical (...)
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  • Between Probability and Certainty: What Justifies Belief.Martin Smith - 2016 - Oxford, GB: Oxford University Press UK.
    This book explores a question central to philosophy--namely, what does it take for a belief to be justified or rational? According to a widespread view, whether one has justification for believing a proposition is determined by how probable that proposition is, given one's evidence. In this book this view is rejected and replaced with another: in order for one to have justification for believing a proposition, one's evidence must normically support it--roughly, one's evidence must make the falsity of that proposition (...)
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  • Justification as the appearance of knowledge.Steven L. Reynolds - 2013 - Philosophical Studies 163 (2):367-383.
    Adequate epistemic justification is best conceived as the appearance, over time, of knowledge to the subject. ‘Appearance’ is intended literally, not as a synonym for belief. It is argued through consideration of examples that this account gets the extension of ‘adequately justified belief’ at least roughly correct. A more theoretical reason is then offered to regard justification as the appearance of knowledge: If we have a knowledge norm for assertion, we do our best to comply with this norm when we (...)
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  • Sensitivity, safety, and anti-luck epistemology.Duncan Pritchard - 2008 - In John Greco (ed.), The Oxford handbook of skepticism. New York: Oxford University Press.
    This paper surveys attempts in the recent literature to offer a modal condition on knowledge as a way of resolving the problem of scepticism. In particular, safety-based and sensitivity-based theories of knowledge are considered in detail, along with the anti-sceptical prospects of an explicitly anti-luck epistemology.
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  • Knowledge, assertion and lotteries.Keith DeRose - 1996 - Australasian Journal of Philosophy 74 (4):568–580.
    In some lottery situations, the probability that your ticket's a loser can get very close to 1. Suppose, for instance, that yours is one of 20 million tickets, only one of which is a winner. Still, it seems that (1) You don't know yours is a loser and (2) You're in no position to flat-out assert that your ticket is a loser. "It's probably a loser," "It's all but certain that it's a loser," or even, "It's quite certain that it's (...)
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  • Belief, credence, and norms.Lara Buchak - 2014 - Philosophical Studies 169 (2):1-27.
    There are currently two robust traditions in philosophy dealing with doxastic attitudes: the tradition that is concerned primarily with all-or-nothing belief, and the tradition that is concerned primarily with degree of belief or credence. This paper concerns the relationship between belief and credence for a rational agent, and is directed at those who may have hoped that the notion of belief can either be reduced to credence or eliminated altogether when characterizing the norms governing ideally rational agents. It presents a (...)
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  • Justified judging.Alexander Bird - 2007 - Philosophy and Phenomenological Research 74 (1):81–110.
    When is a belief or judgment justified? One might be forgiven for thinking the search for single answer to this question to be hopeless. The concept of justification is required to fulfil several tasks: to evaluate beliefs epistemically, to fill in the gap between truth and knowledge, to describe the virtuous organization of one’s beliefs, to describe the relationship between evidence and theory (and thus relate to confirmation and probabilification). While some of these may be held to overlap, the prospects (...)
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  • Beliefs, Degrees of Belief, and the Lockean Thesis.Richard Foley - 2009 - In Franz Huber & Christoph Schmidt-Petri (eds.), Degrees of belief. London: Springer. pp. 37-47.
    What propositions are rational for one to believe? With what confidence is it rational for one to believe these propositions? Answering the first of these questions requires an epistemology of beliefs, answering the second an epistemology of degrees of belief.
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  • Belief and Degrees of Belief.Franz Huber - 2009 - In Franz Huber & Christoph Schmidt-Petri (eds.), Degrees of belief. London: Springer.
    Degrees of belief are familiar to all of us. Our confidence in the truth of some propositions is higher than our confidence in the truth of other propositions. We are pretty confident that our computers will boot when we push their power button, but we are much more confident that the sun will rise tomorrow. Degrees of belief formally represent the strength with which we believe the truth of various propositions. The higher an agent’s degree of belief for a particular (...)
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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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  • Knowledge, Justification and Normative Coincidence1.Martin Smith - 2014 - Philosophy and Phenomenological Research 89 (2):273-295.
    Say that two goals are normatively coincident just in case one cannot aim for one goal without automatically aiming for the other. While knowledge and justification are distinct epistemic goals, with distinct achievement conditions, this paper begins from the suggestion that they are nevertheless normatively coincident—aiming for knowledge and aiming for justification are one and the same activity. A number of surprising consequences follow from this—both specific consequences about how we can ascribe knowledge and justification in lottery cases and more (...)
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  • Evidential Incomparability and the Principle of Indifference.Martin Smith - 2015 - Erkenntnis 80 (3):605-616.
    The _Principle of Indifference_ was once regarded as a linchpin of probabilistic reasoning, but has now fallen into disrepute as a result of the so-called _problem of multiple of partitions_. In ‘Evidential symmetry and mushy credence’ Roger White suggests that we have been too quick to jettison this principle and argues that the problem of multiple partitions rests on a mistake. In this paper I will criticise White’s attempt to revive POI. In so doing, I will argue that what underlies (...)
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  • Consistency.Frederic Schick - 1966 - Philosophical Review 75 (4):467-495.
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  • The epistemic virtues of consistency.Sharon Ryan - 1996 - Synthese 109 (2):121-141.
    The lottery paradox has been discussed widely. The standard solution to the lottery paradox is that a ticket holder is justified in believing each ticket will lose but the ticket holder is also justified in believing not all of the tickets will lose. If the standard solution is true, then we get the paradoxical result that it is possible for a person to have a justified set of beliefs that she knows is inconsistent. In this paper, I argue that the (...)
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  • Risk.Duncan Pritchard - 2015 - Metaphilosophy 46 (3):436-461.
    In this article it is argued that the standard theoretical account of risk in the contemporary literature, which is cast along probabilistic lines, is flawed, in that it is unable to account for a particular kind of risk. In its place a modal account of risk is offered. Two applications of the modal account of risk are then explored. First, to epistemology, via the defence of an anti-risk condition on knowledge in place of the normal anti-luck condition. Second, to legal (...)
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  • Epistemic Risk.Duncan Pritchard - 2016 - Journal of Philosophy 113 (11):550-571.
    The goal of this paper is to mark the transition from an anti-luck epistemology to an anti-risk epistemology, and to explain in the process how the latter has advantages over the former. We begin with an account of anti-luck epistemology and the modal account of luck that underpins it. Then we consider the close inter-relationships between luck and risk, and in the process set out the modal account of risk that is a natural extension of the modal account of luck. (...)
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  • The lottery paradox, knowledge, and rationality.Dana K. Nelkin - 2000 - Philosophical Review 109 (3):373-409.
    Jim buys a ticket in a million-ticket lottery. He knows it is a fair lottery, but, given the odds, he believes he will lose. When the winning ticket is chosen, it is not his. Did he know his ticket would lose? It seems that he did not. After all, if he knew his ticket would lose, why would he have bought it? Further, if he knew his ticket would lose, then, given that his ticket is no different in its chances (...)
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  • Lotteries, Probabilities, and Permissions.Clayton Littlejohn - 2012 - Logos and Episteme 3 (3):509-14.
    Thomas Kroedel argues that we can solve a version of the lottery paradox if we identify justified beliefs with permissible beliefs. Since permissions do not agglomerate, we might grant that someone could justifiably believe any ticket in a large and fair lottery is a loser without being permitted to believe that all the tickets will lose. I shall argue that Kroedel’s solution fails. While permissions do not agglomerate, we would have too many permissions if we characterized justified belief as sufficiently (...)
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  • The lottery paradox, epistemic justification and permissibility.Thomas Kroedel - 2012 - Analysis 72 (1):57-60.
    The lottery paradox can be solved if epistemic justification is assumed to be a species of permissibility. Given this assumption, the starting point of the paradox can be formulated as the claim that, for each lottery ticket, I am permitted to believe that it will lose. This claim is ambiguous between two readings, depending on the scope of ‘permitted’. On one reading, the claim is false; on another, it is true, but, owing to the general failure of permissibility to agglomerate, (...)
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  • Justification is potential knowledge.Jonathan Jenkins Ichikawa - 2014 - Canadian Journal of Philosophy 44 (2):184-206.
    This paper will articulate and defend a novel theory of epistemic justification; I characterize my view as the thesis that justification is potential knowledge . My project is an instance of the ‘knowledge-first’ programme, championed especially by Timothy Williamson. So I begin with a brief recapitulation of that programme.
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  • Is probabilistic evidence a source of knowledge?Ori Friedman & John Turri - 2015 - Cognitive Science 39 (5):1062-1080.
    We report a series of experiments examining whether people ascribe knowledge for true beliefs based on probabilistic evidence. Participants were less likely to ascribe knowledge for beliefs based on probabilistic evidence than for beliefs based on perceptual evidence or testimony providing causal information. Denial of knowledge for beliefs based on probabilistic evidence did not arise because participants viewed such beliefs as unjustified, nor because such beliefs leave open the possibility of error. These findings rule out traditional philosophical accounts for why (...)
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  • Conclusive reasons.Fred I. Dretske - 1971 - Australasian Journal of Philosophy 49 (1):1-22.
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  • Knowledge in an uncertain world.Jeremy Fantl & Matthew McGrath - 2009 - New York: Oxford University Press. Edited by Matthew McGrath.
    Introduction -- Fallibilism -- Contextualism -- Knowledge and reasons -- Justification -- Belief -- The value and importance of knowledge -- Infallibilism or pragmatic encroachment? -- Appendix I: Conflicts with bayesian decision theory? -- Appendix II: Does KJ entail infallibilism?
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  • Lottery judgments: A philosophical and experimental study.Philip A. Ebert, Martin Smith & Ian Durbach - 2018 - Philosophical Psychology 31 (1):110-138.
    In this paper, we present the results of two surveys that investigate subjects’ judgments about what can be known or justifiably believed about lottery outcomes on the basis of statistical evidence, testimonial evidence, and “mixed” evidence, while considering possible anchoring and priming effects. We discuss these results in light of seven distinct hypotheses that capture various claims made by philosophers about lay people’s lottery judgments. We conclude by summarizing the main findings, pointing to future research, and comparing our findings to (...)
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  • The Lottery Paradox and Our Epistemic Goal.Igor Douven - 2008 - Pacific Philosophical Quarterly 89 (2):204-225.
    Many have the intuition that the right response to the Lottery Paradox is to deny that one can justifiably believe of even a single lottery ticket that it will lose. The paper shows that from any theory of justification that solves the paradox in accordance with this intuition, a theory not of that kind can be derived that also solves the paradox but is more conducive to our epistemic goal than the former. It is argued that currently there is no (...)
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  • A new solution to the paradoxes of rational acceptability.Igor Douven - 2002 - British Journal for the Philosophy of Science 53 (3):391-410.
    The Lottery Paradox and the Preface Paradox both involve the thesis that high probability is sufficient for rational acceptability. The standard solution to these paradoxes denies that rational acceptability is deductively closed. This solution has a number of untoward consequences. The present paper suggests that a better solution to the paradoxes is to replace the thesis that high probability suffices for rational acceptability with a somewhat stricter thesis. This avoids the untoward consequences of the standard solution. The new solution will (...)
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  • Without Justification.Jonathan Sutton - 2007 - MIT Press.
    An argument that takes issue with the contemporary epistemological consensus that justification is distinct from knowledge, proposing instead that justified belief simply is knowledge, and arguing in detail that a belief is justified when ...
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  • Justifications, Excuses, and Sceptical Scenarios.Timothy Williamson - forthcoming - In Fabian Dorsch & Julien Dutant (eds.), The New Evil Demon. Oxford: Oxford University Press.
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  • How and Why Knowledge is First.Clayton Littlejohn - 2017 - In A. Carter, E. Gordon & B. Jarvis (eds.), Knowledge First. Oxford University Press. pp. 19-45.
    A defense of the idea that knowledge is first in the sense that there is nothing prior to knowledge that puts reasons or evidence in your possession. Includes a critical discussion of the idea that perception or perceptual experience might provide reasons and a defense of a knowledge-first approach to justified belief.
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  • Why throwing 92 heads in a row is not surprising.Martin Smith - 2017 - Philosophers' Imprint 17.
    Tom Stoppard’s “Rosencrantz and Guildenstern Are Dead” opens with a puzzling scene in which the title characters are betting on coin throws and observe a seemingly astonishing run of 92 heads in a row. Guildenstern grows uneasy and proposes a number of unsettling explanations for what is occurring. Then, in a sudden change of heart, he appears to suggest that there is nothing surprising about what they are witnessing, and nothing that needs any explanation. He says ‘…each individual coin spun (...)
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  • Knowledge, Inference, and Explanation.Gilbert Harman - 1968 - American Philosophical Quarterly 5 (3):164 - 173.
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  • The Alleged Lottery Paradox Resolved.A. A. Derksen - 1978 - American Philosophical Quarterly 15 (1):67 - 74.
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