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The Psychological Dimension of the Lottery Paradox

In Igor Douven (ed.), The Lottery Paradox. Cambridge University Press (2021)

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  1. Position and scope of epistemic phrases in planned and unplanned American English.Elise Karkkäinen - 2010 - In Gunther Kaltenböck, Wiltrud Mihatsch & Stefan Schneider (eds.), New approaches to hedging. Bingley, UK: Emerald. pp. 207--241.
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  • Pragmatic functions of parenthetical I think.Gunther Kaltenböck - 2010 - In Gunther Kaltenböck, Wiltrud Mihatsch & Stefan Schneider (eds.), New approaches to hedging. Bingley, UK: Emerald. pp. 9--237.
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  • Knowledge and its limits.Timothy Williamson - 2000 - New York: Oxford University Press.
    Knowledge and its Limits presents a systematic new conception of knowledge as a kind of mental stage sensitive to the knower's environment. It makes a major contribution to the debate between externalist and internalist philosophies of mind, and breaks radically with the epistemological tradition of analyzing knowledge in terms of true belief. The theory casts new light on such philosophical problems as scepticism, evidence, probability and assertion, realism and anti-realism, and the limits of what can be known. The arguments are (...)
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  • A Review of the Lottery Paradox.Gregory Wheeler - 2007 - In William Harper & Gregory Wheeler (eds.), Probability and Inference: Essays in Honour of Henry E. Kyburg, Jr. College Publications.
    Henry Kyburg’s lottery paradox (1961, p. 197) arises from considering a fair 1000 ticket lottery that has exactly one winning ticket. If this much is known about the execution of the lottery it is therefore rational to accept that one ticket will win. Suppose that an event is very likely if the probability of its occurring is greater than 0.99. On these grounds it is presumed rational to accept the proposition that ticket 1 of the lottery will not win. Since (...)
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  • Probability and the logic of rational belief.Henry Ely Kyburg - 1961 - Middletown, Conn.,: Wesleyan University Press.
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  • Probability and the Logic of Rational Belief.Henry Ely Kyburg - 1961 - Middletown, CT, USA: Wesleyan University Press.
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  • The Enigma of Reason.Dan Sperber & Hugo Mercier (eds.) - 2017 - Cambridge, MA, USA: Harvard University Press.
    Reason, we are told, is what makes us human, the source of our knowledge and wisdom. If reason is so useful, why didn't it also evolve in other animals? If reason is that reliable, why do we produce so much thoroughly reasoned nonsense? In their groundbreaking account of the evolution and workings of reason, Hugo Mercier and Dan Sperber set out to solve this double enigma. Reason, they argue with a compelling mix of real-life and experimental evidence, is not geared (...)
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  • Knowledge and Its Limits.Timothy Williamson - 2005 - Philosophy and Phenomenological Research 70 (2):452-458.
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  • Beliefs, buses and lotteries: Why rational belief can’t be stably high credence.Julia Staffel - 2016 - Philosophical Studies 173 (7):1721-1734.
    Until recently, it seemed like no theory about the relationship between rational credence and rational outright belief could reconcile three independently plausible assumptions: that our beliefs should be logically consistent, that our degrees of belief should be probabilistic, and that a rational agent believes something just in case she is sufficiently confident in it. Recently a new formal framework has been proposed that can accommodate these three assumptions, which is known as “the stability theory of belief” or “high probability cores.” (...)
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  • The empirical case for two systems of reasoning.Steven A. Sloman - 1996 - Psychological Bulletin 119 (1):3-22.
    Distinctions have been proposed between systems of reasoning for centuries. This article distills properties shared by many of these distinctions and characterizes the resulting systems in light of recent findings and theoretical developments. One system is associative because its computations reflect similarity structure and relations of temporal contiguity. The other is "rule based" because it operates on symbolic structures that have logical content and variables and because its computations have the properties that are normally assigned to rules. The systems serve (...)
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  • Probability and the Logic of Rational Belief.Peter Krauss - 1961 - Journal of Symbolic Logic 35 (1):127.
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  • Belief is weak.John Hawthorne, Daniel Rothschild & Levi Spectre - 2016 - Philosophical Studies 173 (5):1393-1404.
    It is tempting to posit an intimate relationship between belief and assertion. The speech act of assertion seems like a way of transferring the speaker’s belief to his or her audience. If this is right, then you might think that the evidential warrant required for asserting a proposition is just the same as the warrant for believing it. We call this thesis entitlement equality. We argue here that entitlement equality is false, because our everyday notion of belief is unambiguously a (...)
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  • Homo Heuristicus: Why Biased Minds Make Better Inferences.Gerd Gigerenzer & Henry Brighton - 2009 - Topics in Cognitive Science 1 (1):107-143.
    Heuristics are efficient cognitive processes that ignore information. In contrast to the widely held view that less processing reduces accuracy, the study of heuristics shows that less information, computation, and time can in fact improve accuracy. We review the major progress made so far: the discovery of less-is-more effects; the study of the ecological rationality of heuristics, which examines in which environments a given strategy succeeds or fails, and why; an advancement from vague labels to computational models of heuristics; the (...)
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  • Homo Heuristicus: Why Biased Minds Make Better Inferences.Gerd Gigerenzer & Henry Brighton - 2009 - Cognitive Science.
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  • Introspection, confabulation, and dual-process theory.Jonathan St B. T. Evans - 2009 - Behavioral and Brain Sciences 32 (2):142-143.
    This excellent target article helps to resolve a problem for dual-process theories of higher cognition. Theorists posit two systems, one of which appears to be conscious and volitional. It seems to control some behaviours but to confabulate explanations for others. I argue that this system is only conscious in an illusory sense and that all self-explanations are confabulatory, as Carruthers suggests.
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  • Dual-Process Theories of Higher Cognition Advancing the Debate.Jonathan Evans & Keith E. Stanovich - 2013 - Perspectives on Psychological Science 8 (3):223-241.
    Dual-process and dual-system theories in both cognitive and social psychology have been subjected to a number of recently published criticisms. However, they have been attacked as a category, incorrectly assuming there is a generic version that applies to all. We identify and respond to 5 main lines of argument made by such critics. We agree that some of these arguments have force against some of the theories in the literature but believe them to be overstated. We argue that the dual-processing (...)
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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 the Pragmatics of Belief.Igor Douven - 2012 - Dialectica 66 (3):351-373.
    The thesis that high probability suffices for rational belief, while initially plausible, is known to face the Lottery Paradox. The present paper proposes an amended version of that thesis which escapes the Lottery Paradox. The amendment is argued to be plausible on independent grounds.
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  • Knowledge and practical reasoning.Igor Douven - 2008 - Dialectica 62 (1):101–118.
    The idea that knowledge is conceptually related to practical reasoning is becoming increasingly popular. In defending this idea, philosophers have been relying on a conception of practical reasoning that drastically deviates from one which has been more traditionally advocated in analytic philosophy and which assigns no special role to knowledge. This paper argues that these philosophers have failed to give good reasons for thinking that the conception of practical reasoning they have been assuming is the right one, and that hence (...)
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  • Knowledge and Practical Reasoning.Igor Douven - 2008 - Dialectica 62 (1):101-118.
    The idea that knowledge is conceptually related to practical reasoning is becoming increasingly popular. In defending this idea, philosophers have been relying on a conception of practical reasoning that drastically deviates from one which has been more traditionally advocated in analytic philosophy and which assigns no special role to knowledge. This paper argues that these philosophers have failed to give good reasons for thinking that the conception of practical reasoning they have been assuming is the right one, and that hence (...)
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  • Generalizing the lottery paradox.Igor Douven & Timothy Williamson - 2006 - British Journal for the Philosophy of Science 57 (4):755-779.
    This paper is concerned with formal solutions to the lottery paradox on which high probability defeasibly warrants acceptance. It considers some recently proposed solutions of this type and presents an argument showing that these solutions are trivial in that they boil down to the claim that perfect probability is sufficient for rational acceptability. The argument is then generalized, showing that a broad class of similar solutions faces the same problem. An argument against some formal solutions to the lottery paradox The (...)
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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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  • Belief and certainty.Dylan Dodd - 2017 - Synthese 194 (11):4597-4621.
    I argue that believing that p implies having a credence of 1 in p. This is true because the belief that p involves representing p as being the case, representing p as being the case involves not allowing for the possibility of not-p, while having a credence that’s greater than 0 in not-p involves regarding not-p as a possibility.
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  • Higher Order Evidence.David Christensen - 2010 - Philosophy and Phenomenological Research 81 (1):185-215.
    Sometimes we get evidence of our own epistemic malfunction. This can come from finding out we’re fatigued, or have been drugged, or that other competent and well-informed thinkers disagree with our beliefs. This sort of evidence seems to seems to behave differently from ordinary evidence about the world. In particular, getting such evidence can put agents in a position where the most rational response involves violating some epistemic ideal.
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  • The Centered Mind: What the Science of Working Memory Shows Us About the Nature of Human Thought.Peter Carruthers - 2015 - Oxford, GB: Oxford University Press UK.
    The Centered Mind offers a new view of the nature and causal determinants of both reflective thinking and, more generally, the stream of consciousness. Peter Carruthers argues that conscious thought is always sensory-based, relying on the resources of the working-memory system. This system enables sensory images to be sustained and manipulated through attentional signals directed at midlevel sensory areas of the brain. When abstract conceptual representations are bound into these images, we consciously experience ourselves as making judgments or arriving at (...)
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  • The Opacity of Mind: An Integrative Theory of Self-Knowledge.Peter Carruthers - 2011 - Oxford, GB: Oxford University Press.
    Do we have introspective access to our own thoughts? Peter Carruthers challenges the consensus that we do: he argues that access to our own thoughts is always interpretive, grounded in perceptual awareness and sensory imagery. He proposes a bold new theory of self-knowledge, with radical implications for understanding of consciousness and agency.
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  • Working Memory, Thought, and Action.Alan Baddeley - 2007 - Oxford University Press.
    'Working Memory, Thought, and Action' is the magnum opus of one of the most influential cognitive psychologists of the past 50 years. This new volume on the model he created discusses the developments that have occurred within the model in the past twenty years, and places it within a broader context.
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  • Knowledge and its Limits.Timothy Williamson - 2000 - Tijdschrift Voor Filosofie 64 (1):200-201.
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  • Observations on embedding verbs, evidentiality, and presupposition.Mandy Simons - 2007
    This paper discusses the semantically parenthetical use of clauseembedding verbs such as see, hear, think, believe, discover and know. When embedding verbs are used in this way, the embedded clause carries the main point of the utterance, while the main clause serves some discourse function. Frequently, this function is evidential, with the parenthetical verb carrying information about the source and reliability of the embedded claim, or about the speaker’s emotional orientation to it. Other functions of parenthetical uses of verbs are (...)
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  • Are there Counterexamples to the Closure Principle.Jonathan Vogel - 1990 - In Michael David Roth & Glenn Ross (eds.), Doubting: Contemporary Perspetcives on Scepticism. Dordrecht: Kluwer Academic Publishers. pp. 13-29.
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  • 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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  • Discourse Markers: An Enunciative Approach.[author unknown] - 2018
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  • Belief in Psyontology.Jonathan Weisberg - 2020 - Philosophers' Imprint 20 (11).
    Neither full belief nor partial belief is more fundamental, ontologically speaking. A survey of some relevant cognitive psychology supports a dualist ontology instead. Beliefs come in two kinds, categorical and graded, neither more fundamental than the other. In particular, the graded kind is no more fundamental. When we discuss belief in on/off terms, we are not speaking coarsely or informally about states that are ultimately credal.
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  • Knowledge in Action.Jonathan Weisberg - 2013 - Philosophers' Imprint 13.
    Recent proposals that frame norms of action in terms of knowledge have been challenged by Bayesian decision theorists. Bayesians object that knowledge-based norms conflict with the highly successful and established view that rational action is rooted in degrees of belief. I argue that the knowledge-based and Bayesian pictures are not as incompatible as these objectors have made out. Attending to the mechanisms of practical reasoning exposes space for both knowledge and degrees of belief to play their respective roles.
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  • The Psychological Basis of the Harman-Vogel Paradox.Jennifer Nagel - 2011 - Philosophers' Imprint 11:1-28.
    Harman’s lottery paradox, generalized by Vogel to a number of other cases, involves a curious pattern of intuitive knowledge ascriptions: certain propositions seem easier to know than various higher-probability propositions that are recognized to follow from them. For example, it seems easier to judge that someone knows his car is now on Avenue A, where he parked it an hour ago, than to judge that he knows that it is not the case that his car has been stolen and driven (...)
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  • The Pragmatics of Belief.Igor Douven - 2010 - Journal of Pragmatics 42 (1):35-47.
    This paper argues that pragmatic considerations similar to the ones that Grice has shown pertain to assertability pertain to acceptability. It further shows how this should affect some widely held epistemic principles. The idea of a pragmatics of belief is defended against some seemingly obvious objections.
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