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  1. Exploring the proof paradoxes.Mike Redmayne - 2008 - Legal Theory 14 (4):281-309.
    This article explores a long-running debate in evidence theory about the significance of certain puzzling cases where there is reluctance to ascribe liability despite a high probability of liability. It focuses on certain analyses of these puzzles, distinguishing between inferential, moral, and knowledge-based analyses. The article emphasizes the richness and complexity of the puzzle cases and suggests why they are difficult to resolve.
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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 (...)
  • 'More Likely Than Not' - Knowledge First and the Role of Statistical Evidence in Courts of Law.Michael Blome-Tillmann - 2017 - In Carter Adam, Gordon Emma & Jarvis Benjamin (eds.), Knowledge First,. Oxford University Press. pp. 278-292.
    The paper takes a closer look at the role of knowledge and evidence in legal theory. In particular, the paper examines a puzzle arising from the evidential standard Preponderance of the Evidence and its application in civil procedure. Legal scholars have argued since at least the 1940s that the rule of the Preponderance of the Evidence gives rise to a puzzle concerning the role of statistical evidence in judicial proceedings, sometimes referred to as the Problem of Bare Statistical Evidence. While (...)
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  • Legal Burdens of Proof and Statistical Evidence.Georgi Gardiner - 2018 - In David Coady & James Chase (eds.), The Routledge Handbook of Applied Epistemology. New York: Routledge.
    In order to perform certain actions – such as incarcerating a person or revoking parental rights – the state must establish certain facts to a particular standard of proof. These standards – such as preponderance of evidence and beyond reasonable doubt – are often interpreted as likelihoods or epistemic confidences. Many theorists construe them numerically; beyond reasonable doubt, for example, is often construed as 90 to 95% confidence in the guilt of the defendant. -/- A family of influential cases suggests (...)
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  • The Probable and the Provable.Laurence Jonathan Cohen - 1977 - Oxford, GB: Oxford University Press.
    The book was planned and written as a single, sustained argument. But earlier versions of a few parts of it have appeared separately. The object of this book is both to establish the existence of the paradoxes, and also to describe a non-Pascalian concept of probability in terms of which one can analyse the structure of forensic proof without giving rise to such typical signs of theoretical misfit. Neither the complementational principle for negation nor the multiplicative principle for conjunction applies (...)
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  • Probabilistic Knowledge.Sarah Moss - 2018 - Oxford, United Kingdom: Oxford University Press.
    Traditional philosophical discussions of knowledge have focused on the epistemic status of full beliefs. In this book, Moss argues that in addition to full beliefs, credences can constitute knowledge. For instance, your .4 credence that it is raining outside can constitute knowledge, in just the same way that your full beliefs can. In addition, you can know that it might be raining, and that if it is raining then it is probably cloudy, where this knowledge is not knowledge of propositions, (...)
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  • Knowledge and Its Limits.Timothy Williamson - 2005 - Philosophy and Phenomenological Research 70 (2):452-458.
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  • When Does Evidence Suffice for Conviction?Martin Smith - 2018 - Mind 127 (508):1193-1218.
    There is something puzzling about statistical evidence. One place this manifests is in the law, where courts are reluctant to base affirmative verdicts on evidence that is purely statistical, in spite of the fact that it is perfectly capable of meeting the standards of proof enshrined in legal doctrine. After surveying some proposed explanations for this, I shall outline a new approach – one that makes use of a notion of normalcy that is distinct from the idea of statistical frequency. (...)
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  • Recent work on the proof paradox.Lewis D. Ross - 2020 - Philosophy Compass 15 (6):e12667.
    Recent years have seen fresh impetus brought to debates about the proper role of statistical evidence in the law. Recent work largely centres on a set of puzzles known as the ‘proof paradox’. While these puzzles may initially seem academic, they have important ramifications for the law: raising key conceptual questions about legal proof, and practical questions about DNA evidence. This article introduces the proof paradox, why we should care about it, and new work attempting to resolve it.
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  • Rehabilitating Statistical Evidence.Lewis Ross - 2019 - Philosophy and Phenomenological Research 102 (1):3-23.
    Recently, the practice of deciding legal cases on purely statistical evidence has been widely criticised. Many feel uncomfortable with finding someone guilty on the basis of bare probabilities, even though the chance of error might be stupendously small. This is an important issue: with the rise of DNA profiling, courts are increasingly faced with purely statistical evidence. A prominent line of argument—endorsed by Blome-Tillmann 2017; Smith 2018; and Littlejohn 2018—rejects the use of such evidence by appealing to epistemic norms that (...)
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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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  • Legal risk, legal evidence and the arithmetic of criminal justice.Duncan Pritchard - 2018 - Jurisprudence 9 (1):108-119.
    It is argued that the standard way that the criminal justice debate regarding the permissible extent of wrongful convictions is cast is fundamentally flawed. In particular, it is claimed that there is an inherent danger in focussing our attention in this debate on different ways of measuring the probabilistic likelihood of wrongful conviction and then evaluating whether these probabilities are unacceptably high. This is because such probabilistic measures are clumsy ways of capturing the level of risk involved, to the extent (...)
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  • Safety vs. sensitivity: Possible worlds and the law of evidence.Michael S. Pardo - 2018 - Legal Theory 24 (1):50-75.
    ABSTRACTThis article defends the importance of epistemic safety for legal evidence. Drawing on discussions of sensitivity and safety in epistemology, the article explores how similar considerations apply to legal proof. In the legal context, sensitivity concerns whether a factual finding would be made if it were false, and safety concerns how easily a factual finding could be false. The article critiques recent claims about the importance of sensitivity for the law of evidence. In particular, this critique argues that sensitivity does (...)
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  • The disvalue of knowledge.David Papineau - 2019 - Synthese 198 (6):5311-5332.
    I argue that the concept of knowledge is a relic of a bygone age, erroneously supposed to do no harm. I illustrate this claim by showing how a concern with knowledge distorts the use of statistical evidence in criminal courts, and then generalize the point to show that this concern hampers our enterprises across the board and not only in legal contexts.
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  • Evidence Matters: Science, Proof, and Truth in the Law.Susan Haack - 2014 - New York, NY: Cambridge University Press.
    Is truth in the law just plain truth - or something sui generis? Is a trial a search for truth? Do adversarial procedures and exclusionary rules of evidence enable, or impede, the accurate determination of factual issues? Can degrees of proof be identified with mathematical probabilities? What role can statistical evidence properly play? How can courts best handle the scientific testimony on which cases sometimes turn? How are they to distinguish reliable scientific testimony from unreliable hokum? These interdisciplinary essays explore (...)
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  • Legal Probabilism: A Qualified Defence.Brian Hedden & Mark Colyvan - 2019 - Journal of Political Philosophy 27 (4):448-468.
    Journal of Political Philosophy, EarlyView.
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  • Knowledge and Lotteries.John Hawthorne - 2005 - Philosophical Quarterly 55 (219):353-356.
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  • Knowledge and lotteries.John Hawthorne - 2004 - New York: Oxford University Press.
    Knowledge and Lotteries is organized around an epistemological puzzle: in many cases, we seem consistently inclined to deny that we know a certain class of propositions, while crediting ourselves with knowledge of propositions that imply them. In its starkest form, the puzzle is this: we do not think we know that a given lottery ticket will be a loser, yet we normally count ourselves as knowing all sorts of ordinary things that entail that its holder will not suddenly acquire a (...)
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  • The Reasonable and the Relevant: Legal Standards of Proof.Georgi Gardiner - 2019 - Philosophy and Public Affairs 47 (3):288-318.
    According to a common conception of legal proof, satisfying a legal burden requires establishing a claim to a numerical threshold. Beyond reasonable doubt, for example, is often glossed as 90% or 95% likelihood given the evidence. Preponderance of evidence is interpreted as meaning at least 50% likelihood given the evidence. In light of problems with the common conception, I propose a new ‘relevant alternatives’ framework for legal standards of proof. Relevant alternative accounts of knowledge state that a person knows a (...)
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  • Statistical Evidence, Sensitivity, and the Legal Value of Knowledge.David Enoch, Levi Spectre & Talia Fisher - 2012 - Philosophy and Public Affairs 40 (3):197-224.
    The law views with suspicion statistical evidence, even evidence that is probabilistically on a par with direct, individual evidence that the law is in no way suspicious of. But it has proved remarkably hard to either justify this suspicion, or to debunk it. In this paper, we connect the discussion of statistical evidence to broader epistemological discussions of similar phenomena. We highlight Sensitivity – the requirement that a belief be counterfactually sensitive to the truth in a specific way – as (...)
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  • Sensitivity, safety, and the law: A reply to Pardo.David Enoch & Levi Spectre - 2019 - Legal Theory 25 (3):178-199.
    ABSTRACTIn a recent paper, Michael Pardo argues that the epistemic property that is legally relevant is the one called Safety, rather than Sensitivity. In the process, he argues against our Sensitivity-related account of statistical evidence. Here we revisit these issues, partly in order to respond to Pardo, and partly in order to make general claims about legal epistemology. We clarify our account, we show how it adequately deals with counterexamples and other worries, we raise suspicions about Safety's value here, and (...)
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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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  • Profile Evidence, Fairness, and the Risks of Mistaken Convictions.Marcello Di Bello & Collin O’Neil - 2020 - Ethics 130 (2):147-178.
    Many oppose the use of profile evidence against defendants at trial, even when the statistical correlations are reliable and the jury is free from prejudice. The literature has struggled to justify this opposition. We argue that admitting profile evidence is objectionable because it violates what we call “equal protection”—that is, a right of innocent defendants not to be exposed to higher ex ante risks of mistaken conviction compared to other innocent defendants facing similar charges. We also show why admitting other (...)
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  • Proof Paradoxes and Normic Support: Socializing or Relativizing?Marcello Di Bello - 2020 - Mind 129 (516):1269-1285.
    Smith argues that, unlike other forms of evidence, naked statistical evidence fails to satisfy normic support. This is his solution to the puzzles of statistical evidence in legal proof. This paper focuses on Smith’s claim that DNA evidence in cold-hit cases does not satisfy normic support. I argue that if this claim is correct, virtually no other form of evidence used at trial can satisfy normic support. This is troublesome. I discuss a few ways in which Smith can respond.
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  • Trial by Statistics: Is a High Probability of Guilt Enough to Convict?Marcello Di Bello - 2019 - Mind 128 (512):1045-1084.
    Suppose one hundred prisoners are in a yard under the supervision of a guard, and at some point, ninety-nine of them collectively kill the guard. If, after the fact, a prisoner is picked at random and tried, the probability of his guilt is 99%. But despite the high probability, the statistical chances, by themselves, seem insufficient to justify a conviction. The question is why. Two arguments are offered. The first, decision-theoretic argument shows that a conviction solely based on the statistics (...)
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  • The probable and the provable.Laurence Jonathan Cohen - 1977 - Oxford: Clarendon Press.
    The book was planned and written as a single, sustained argument. But earlier versions of a few parts of it have appeared separately. The object of this book is both to establish the existence of the paradoxes, and also to describe a non-Pascalian concept of probability in terms of which one can analyse the structure of forensic proof without giving rise to such typical signs of theoretical misfit. Neither the complementational principle for negation nor the multiplicative principle for conjunction applies (...)
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  • Truth, knowledge, and the standard of proof in criminal law.Clayton Littlejohn - 2020 - Synthese 197 (12):5253-5286.
    Could it be right to convict and punish defendants using only statistical evidence? In this paper, I argue that it is not and explain why it would be wrong. This is difficult to do because there is a powerful argument for thinking that we should convict and punish defendants using statistical evidence. It looks as if the relevant cases are cases of decision under risk and it seems we know what we should do in such cases (i.e., maximize expected value). (...)
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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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  • The rational impermissibility of accepting (some) racial generalizations.Renée Jorgensen Bolinger - 2020 - Synthese 197 (6):2415-2431.
    I argue that inferences from highly probabilifying racial generalizations are not solely objectionable because acting on such inferences would be problematic, or they violate a moral norm, but because they violate a distinctively epistemic norm. They involve accepting a proposition when, given the costs of a mistake, one is not adequately justified in doing so. First I sketch an account of the nature of adequate justification—practical adequacy with respect to eliminating the ~p possibilities from one’s epistemic statespace. Second, I argue (...)
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  • Statistical Evidence, Normalcy, and the Gatecrasher Paradox.Michael Blome-Tillmann - 2020 - Mind 129 (514):563-578.
    Martin Smith has recently proposed, in this journal, a novel and intriguing approach to puzzles and paradoxes in evidence law arising from the evidential standard of the Preponderance of the Evidence. According to Smith, the relation of normic support provides us with an elegant solution to those puzzles. In this paper I develop a counterexample to Smith’s approach and argue that normic support can neither account for our reluctance to base affirmative verdicts on bare statistical evidence nor resolve the pertinent (...)
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  • Epistemology and the law: why there is no epistemic mileage in legal cases.Marvin Backes - 2020 - Philosophical Studies 177 (9):2759-2778.
    The primary aim of this paper is to defend the Lockean View—the view that a belief is epistemically justified iff it is highly probable—against a new family of objections. According to these objections, broadly speaking, the Lockean View ought to be abandoned because it is incompatible with, or difficult to square with, our judgments surrounding certain legal cases. I distinguish and explore three different versions of these objections—The Conviction Argument, the Argument from Assertion and Practical Reasoning, and the Comparative Probabilities (...)
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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 (...)
  • Knowledge and Its Limits.Timothy Williamson - 2003 - Philosophical Quarterly 53 (210):105-116.
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  • Against legal probabilism.Martin Smith - 2021 - In Jon Robson & Zachary Hoskins (eds.), The Social Epistemology of Legal Trials. Routledge.
    Is it right to convict a person of a crime on the basis of purely statistical evidence? Many who have considered this question agree that it is not, posing a direct challenge to legal probabilism – the claim that the criminal standard of proof should be understood in terms of a high probability threshold. Some defenders of legal probabilism have, however, held their ground: Schoeman (1987) argues that there are no clear epistemic or moral problems with convictions based on purely (...)
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  • Knowledge and its Limits.Timothy Williamson - 2000 - Tijdschrift Voor Filosofie 64 (1):200-201.
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  • Knowledge and Legal Proof.Sarah Moss - forthcoming - Oxford Studies in Epistemology.
    Existing discussions of legal proof address a host of apparently disparate questions: What does it take to prove a fact beyond a reasonable doubt? Why is the reasonable doubt standard notoriously elusive, sometimes considered by courts to be impossible to define? Can the standard of proof by a preponderance of the evidence be defined in terms of probability thresholds? Why is statistical evidence often insufficient to meet the burden of proof? -/- This paper defends an account of proof that addresses (...)
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  • Against the Alleged Insufficiency of Statistical Evidence.Sam Fox Krauss - 2020 - Florida State University Law Review 47:801-825.
    Over almost a half-century, evidence law scholars and philosophers have contended with what have come to be called the “Proof Paradoxes.” In brief, the following sort of paradox arises: Factfinders in criminal and civil trials are charged with reaching a verdict if the evidence presented meets a particular standard of proof—beyond a reasonable doubt, in criminal cases, and preponderance of the evidence, in civil trials. It seems that purely statistical evidence can suffice for just such a level of certainty in (...)
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  • Statistical evidence and individual litigants.Amit Pundik - manuscript
    Humpty, an enthusiastic football fan, is sued for gate-crashing a local football match. He was seen by Alice sneaking through the fence. Alice's visual identification ability is tested and shown to be accurate in nine times out of ten. This case seems straightforward and finding Humpty liable seems intuitively right. In another football match, Hatter, another enthusiastic football fan, is also sued for gate-crashing. This time, the only evidence available is that just one hundred tickets had been sold whilst yet (...)
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