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The probable and the provable

Oxford: Clarendon Press (1977)

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  1. The sensitivity of legal proof.Guido Melchior - 2024 - Synthese 203 (5):1-23.
    The proof paradox results from conflicting intuitions concerning different types of fallible evidence in a court of law. We accept fallible individual evidence but reject fallible statistical evidence even when the conditional probability that the defendant is guilty given the evidence is the same, a seeming inconsistency. This paper defends a solution to the proof paradox, building on a sensitivity account of checking and settling a question. The proposed sensitivity account of legal proof not only requires sensitivity simpliciter but sensitivity (...)
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  • The Philosophy of Legal Proof.Lewis Ross - 2024 - Cambridge University Press.
    Criminal courts make decisions that can remove the liberty and even life of those accused. Civil trials can cause the bankruptcy of companies employing thousands of people, asylum seekers being deported, or children being placed into state care. Selecting the right standards when deciding legal cases is of utmost importance in giving those affected a fair deal. This Element is an introduction to the philosophy of legal proof. It is organised around five questions. First, it introduces the standards of proof (...)
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  • Legal proof: why knowledge matters and knowing does not.Andy Mueller - 2024 - Asian Journal of Philosophy 3 (1):1-22.
    I discuss the knowledge account of legal proof in Moss (2023) and develop an alternative. The unifying thread throughout this article are reflections on the beyond reasonable doubt (BRD) standard of proof. In Section 1, I will introduce the details of Moss’s account and how she motivates it via the BRD standard. In Section 2, I will argue that there are important disanalogies between BRD and knowledge that undermine Moss’s argument. There is however another motivation for the knowledge account: combined (...)
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  • On Uncertainty.Brian Weatherson - 1998 - Dissertation, Monash University
    This dissertation looks at a set of interconnected questions concerning the foundations of probability, and gives a series of interconnected answers. At its core is a piece of old-fashioned philosophical analysis, working out what probability is. Or equivalently, investigating the semantic question of what is the meaning of ‘probability’? Like Keynes and Carnap, I say that probability is degree of reasonable belief. This immediately raises an epistemological question, which degrees count as reasonable? To solve that in its full generality would (...)
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  • Just probabilities.Chad Lee-Stronach - 2024 - Noûs 58 (4):948-972.
    I defend the thesis that legal standards of proof are reducible to thresholds of probability. Many reject this thesis because it appears to permit finding defendants liable solely on the basis of statistical evidence. To the contrary, I argue – by combining Thomson's (1986) causal analysis of legal evidence with formal methods of causal inference – that legal standards of proof can be reduced to probabilities, but that deriving these probabilities involves more than just statistics.
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  • Statistical Evidence and the Problem of Specification.Frederick Schauer - 2023 - Episteme 20 (2):367-376.
    Philosophical debates over statistical evidence have long been framed and dominated by L. Jonathan Cohen's Paradox of the Gatecrasher and a related hypothetical example commonly called Prison Yard. These examples, however, raise an issue not discussed in the large and growing literature on statistical evidence – the question of what statistical evidence is supposed to be evidence of. In actual practice, the legal system does not start with a defendant and then attempt to determine if that defendant has committed some (...)
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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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  • Profiling and Proof: Are Statistics Safe?Georgi Gardiner - 2020 - Philosophy 95 (2):161-183.
    Many theorists hold that outright verdicts based on bare statistical evidence are unwarranted. Bare statistical evidence may support high credence, on these views, but does not support outright belief or legal verdicts of culpability. The vignettes that constitute the lottery paradox and the proof paradox are marshalled to support this claim. Some theorists argue, furthermore, that examples of profiling also indicate that bare statistical evidence is insufficient for warranting outright verdicts.I examine Pritchard's and Buchak's treatments of these three kinds of (...)
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  • The safe, the sensitive, and the severely tested: a unified account.Georgi Gardiner & Brian Zaharatos - 2022 - Synthese 200 (5):1-33.
    This essay presents a unified account of safety, sensitivity, and severe testing. S’s belief is safe iff, roughly, S could not easily have falsely believed p, and S’s belief is sensitive iff were p false S would not believe p. These two conditions are typically viewed as rivals but, we argue, they instead play symbiotic roles. Safety and sensitivity are both valuable epistemic conditions, and the relevant alternatives framework provides the scaffolding for their mutually supportive roles. The relevant alternatives condition (...)
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  • Refugee Children and English Language: Challenges From English Language Teachers’ Perspectives.Haneen Abdaljaleel Alrawashdeh & Naciye Kunt - 2022 - Frontiers in Psychology 13.
    This study aimed to investigate the challenges refugee children face in learning the English language from teachers’ perspectives and the challenges of refugees’ English language teachers in Jordan. To achieve this aim, a quantitative approach was implemented using a questionnaire. The findings from this study suggest that refugee teachers’ acknowledge that they face challenges teaching refugees in terms of cultural competency, preparation, self-efficacy, and practices they implement, and refugee children face linguistic and psychological challenges in learning English. This study attempted (...)
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  • On Legal Interpretation and Second-order Proof Rules.Sebastián Reyes Molina - 2018 - Analisi E Diritto 1 (1):165-184.
    This paper puts forward three critiques of pardo’s second-order proof rules thesis. The first criticism states that these rules are not suitable to guide the interpretation of standards of proof rules because they confuse matters of legal interpretation with matters of epistemology. The second criticism states that second-order proof rules are affected by the same indeterminacy problems they are designed to resolve, thereby rendering them unsuitable for the task they are purposely designed for. The third criticism renders pardo’s proposal redundant. (...)
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  • Proof Paradoxes, Agency, and Stereotyping.Aness Kim Webster - 2021 - Philosophical Issues 31 (1):355-373.
    Philosophical Issues, Volume 31, Issue 1, Page 355-373, October 2021.
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  • On argument strength.Niki Pfeifer - 2012 - In Frank Zenker (ed.), Bayesian Argumentation – The Practical Side of Probability. Springer. pp. 185-193.
    Everyday life reasoning and argumentation is defeasible and uncertain. I present a probability logic framework to rationally reconstruct everyday life reasoning and argumentation. Coherence in the sense of de Finetti is used as the basic rationality norm. I discuss two basic classes of approaches to construct measures of argument strength. The first class imposes a probabilistic relation between the premises and the conclusion. The second class imposes a deductive relation. I argue for the second class, as the first class is (...)
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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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  • Statistical evidence and incentives in the law.John Hawthorne, Yoaav Isaacs & Vishnu Sridharan - 2021 - Philosophical Issues 31 (1):128-145.
    Philosophical Issues, Volume 31, Issue 1, Page 128-145, October 2021.
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  • Does legal epistemology rest on a mistake? On fetishism, two‐tier system design, and conscientious fact‐finding.David Enoch, Talia Fisher & Levi Spectre - 2021 - Philosophical Issues 31 (1):85-103.
    Philosophical Issues, Volume 31, Issue 1, Page 85-103, October 2021.
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  • On the Independence of Belief and Credence.Elizabeth Jackson - 2022 - Philosophical Issues 32 (1):9-31.
    Much of the literature on the relationship between belief and credence has focused on the reduction question: that is, whether either belief or credence reduces to the other. This debate, while important, only scratches the surface of the belief-credence connection. Even on the anti-reductive dualist view, belief and credence could still be very tightly connected. Here, I explore questions about the belief-credence connection that go beyond reduction. This paper is dedicated to what I call the independence question: just how independent (...)
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  • Justice in epistemic gaps: The ‘proof paradox’ revisited.Lewis Ross - 2021 - Philosophical Issues 31 (1):315-333.
    This paper defends the heretical view that, at least in some cases, we ought to assign legal liability based on purely statistical evidence. The argument draws on prominent civil law litigation concerning pharmaceutical negligence and asbestos-poisoning. The overall aim is to illustrate moral pitfalls that result from supposing that it is never appropriate to rely on bare statistics when settling a legal dispute.
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  • Knowledge‐norms in a common‐law crucible.Cosim Sayid - 2021 - Ratio 34 (4):261-276.
    Not only is the common‐law standard of proof of mere likelihood in ordinary civil cases justifiable, but its justifiability supports the conclusion that there is no general norm that one must assert that p only if p is known. An argument by Voltaire is formalized to show that the mere likelihood standard is rational. It is also shown that no applicable norm preempts the common‐law rule. An objection that takes the pertinent knowledge‐norm to be honoured in the breach is rejected (...)
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  • Statistical resentment, or: what’s wrong with acting, blaming, and believing on the basis of statistics alone.David Enoch & Levi Spectre - 2021 - Synthese 199 (3-4):5687-5718.
    Statistical evidence—say, that 95% of your co-workers badmouth each other—can never render resenting your colleague appropriate, in the way that other evidence (say, the testimony of a reliable friend) can. The problem of statistical resentment is to explain why. We put the problem of statistical resentment in several wider contexts: The context of the problem of statistical evidence in legal theory; the epistemological context—with problems like the lottery paradox for knowledge, epistemic impurism and doxastic wrongdoing; and the context of a (...)
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  • More on Normic Support and the Criminal Standard of Proof.Martin Smith - 2021 - Mind 130 (519):943-960.
    In this paper I respond to Marcello Di Bello’s criticisms of the ‘normic account’ of the criminal standard of proof. In so doing, I further elaborate on what the normic account predicts about certain significant legal categories of evidence, including DNA and fingerprint evidence and eyewitness identifications.
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  • Editors' Review and Introduction: Models of Rational Proof in Criminal Law.Henry Prakken, Floris Bex & Anne Ruth Mackor - 2020 - Topics in Cognitive Science 12 (4):1053-1067.
    Decisions concerning proof of facts in criminal law must be rational because of what is at stake, but the decision‐making process must also be cognitively feasible because of cognitive limitations, and it must obey the relevant legal–procedural constraints. In this topic three approaches to rational reasoning about evidence in criminal law are compared in light of these demands: arguments, probabilities, and scenarios. This is done in six case studies in which different authors analyze a manslaughter case from different theoretical perspectives, (...)
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  • Knowledge, Evidence, and Naked Statistics.Sherrilyn Roush - 2023 - In Luis R. G. Oliveira (ed.), Externalism about Knowledge. Oxford: Oxford University Press.
    Many who think that naked statistical evidence alone is inadequate for a trial verdict think that use of probability is the problem, and something other than probability – knowledge, full belief, causal relations – is the solution. I argue that the issue of whether naked statistical evidence is weak can be formulated within the probabilistic idiom, as the question whether likelihoods or only posterior probabilities should be taken into account in our judgment of a case. This question also identifies a (...)
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  • Legal proof and statistical conjunctions.Lewis D. Ross - 2020 - Philosophical Studies 178 (6):2021-2041.
    A question, long discussed by legal scholars, has recently provoked a considerable amount of philosophical attention: ‘Is it ever appropriate to base a legal verdict on statistical evidence alone?’ Many philosophers who have considered this question reject legal reliance on bare statistics, even when the odds of error are extremely low. This paper develops a puzzle for the dominant theories concerning why we should eschew bare statistics. Namely, there seem to be compelling scenarios in which there are multiple sources of (...)
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  • Relevance and risk: How the relevant alternatives framework models the epistemology of risk.Georgi Gardiner - 2020 - Synthese 199 (1-2):481-511.
    The epistemology of risk examines how risks bear on epistemic properties. A common framework for examining the epistemology of risk holds that strength of evidential support is best modelled as numerical probability given the available evidence. In this essay I develop and motivate a rival ‘relevant alternatives’ framework for theorising about the epistemology of risk. I describe three loci for thinking about the epistemology of risk. The first locus concerns consequences of relying on a belief for action, where those consequences (...)
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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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  • The Limits of Bayesian Thinking in Court.Ronald Meester - 2020 - Topics in Cognitive Science 12 (4):1205-1212.
    We comment on the contributions of Dahlman and of Fenton et al., who both suggested a Bayesian approach to analyze the Simonshaven case. We argue that analyzing a full case with a Bayesian approach is not feasible, and that there are serious problems with assigning actual numbers to probabilities and priors. We also discuss the nature of Bayesian thinking in court, and the nature and interpretation of the likelihood ratio. In particular, we discuss what it could mean that a likelihood (...)
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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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  • Normalcy, Understanding and the Problem of Statistical Evidence.Miloud Belkoniene - 2019 - Theoria 85 (3):202-218.
    This article examines Smith’s recent treatment of the problem of statistical evidence and the conception of epistemic justification that he puts forward. Two possible solutions to the problem of statistical evidence that result from his analysis of cases involving a contrast between statistical and individual evidence are considered. The solution resulting from Smith’s conception of epistemic justification is shown to be inferior to the solution calling for an explanationist conception of epistemic justification. As a result, Smith’s analysis of cases illustrating (...)
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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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  • 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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  • Factors for Evaluating Presumptions and Presumptive Inferences.James Freeman - 2019 - Argumentation 33 (2):215-240.
    Lilian Bermejo-Luque has posed these questions:1.What is the relationship between presumption and presumptive inference? 2.What are the correctness conditions for presumptions and presumptive inferences? Cohen’s method of relevant variables, Toulmin’s model, and Rescher’s theory of plausibility suggest answers. An inference is presumptive just in case its warrant transfers presumption from its premises to its conclusion. A warrant licencing an inference from the claim that an empirical property φ holds to the claim that some other property ψ holds is backed by (...)
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  • When Are Two Witnesses Better Than One?David Atkinson & Jeanne Peijnenburg - unknown
    Even if two testimonies in a criminal trial are independent, they are not necessarily more trustworthy than one. But if they are independent in the sense that they are screened off from one another by the crime, then two testimonies raise the probability of guilt above the level that one testimony alone could achieve. In fact this screening-off condition can be weakened without changing the conclusion. It is however only a sufficient, not a necessary condition for concluding that two witnesses (...)
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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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  • Overcoming Luck: Two Trends in Legal Philosophy.Jeffrey S. Helmreich - 2018 - Analysis 78 (2):335-347.
    © The Author 2018. Published by Oxford University Press on behalf of The Analysis Trust. All rights reserved. For Permissions, please email: [email protected] article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model...Philosophy of law was until recently dominated by abstract investigation into the nature of law, a pursuit known as ‘general jurisprudence’. In this way, it resembled a branch of metaphysics or mid-twentieth century philosophy of mind, seeking to uncover the essential properties (...)
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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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  • '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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  • The Method of Relevant Variables, Objectivity, and Boas.B. Freeman James - unknown
    L. J. Cohen has presented an understanding of appraising argument strength which applies to a variety of types of defeasible reasoning. This method can be used to explicate how a body of information may back a warrant and to rank different bodies of evidence on strength of backing. We shall argue that this method allows backing warrants objectively, whether they are inductive warrants backed by observation or moral warrants backed in part a priori. The method also suggests where arguments employing (...)
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  • Grades of Probability Modality in the Law of Evidence.Lennart Åqvist - 2010 - Studia Logica 94 (3):307-330.
    The paper presents an infinite hierarchy PR m [ m = 1, 2, . . . ] of sound and complete axiomatic systems for modal logic with graded probabilistic modalities , which are to reflect what I have elsewhere called the Bolding-Ekelöf degrees of evidential strength as applied to the establishment of matters of fact in law-courts. Our present approach is seen to differ from earlier work by the author in that it treats the logic of these graded modalities not (...)
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  • Estándares múltiples de prueba en medicina y derecho.Andrés Páez - 2015 - In Andrés Páez (ed.), Hechos, evidencia y estándares de prueba. Ensayos de epistemología jurídica. Bogotá, D.C., Colombia: Ediciones Uniandes. pp. 123-152.
    Varios teóricos del derecho han propuesto el uso de umbrales o estándares de prueba más flexibles y más finamente discriminados. En la medicina es común utilizar estándares que poseen estas características en los procedimientos diagnósticos y en los exámenes médicos. Esta ponencia ofrece un marco probabilístico para establecer estándares de prueba múltiples en cualquier disciplina. La tesis principal es que la evidencia es un concepto umbral con respecto a la probabilidad. Múltiples umbrales pueden ser establecidos en un marco de intervalos (...)
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  • Sensitivity, Causality, and Statistical Evidence in Courts of Law.Michael Blome-Tillmann - 2015 - Thought: A Journal of Philosophy 4 (2):102-112.
    Recent attempts to resolve the Paradox of the Gatecrasher rest on a now familiar distinction between individual and bare statistical evidence. This paper investigates two such approaches, the causal approach to individual evidence and a recently influential (and award-winning) modal account that explicates individual evidence in terms of Nozick's notion of sensitivity. This paper offers counterexamples to both approaches, explicates a problem concerning necessary truths for the sensitivity account, and argues that either view is implausibly committed to the impossibility of (...)
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  • Corroborative evidence.David Godden - 2010 - In C. Tindale & C. Reed (eds.), Dialectics, Dialogue and Argumentation: An Examination of Douglas Walton's Theories of Reasoning and Argument. College Publications. pp. 201-212.
    Corroborative evidence can have a dual function in argument whereby not only does it have a primary function of providing direct evidence supporting the main conclusion, but it also has a secondary, bolstering function which increases the probative value of some other piece of evidence in the argument. It has been argued (Redmayne, 2000) that this double function gives rise to the fallacy of double counting whereby the probative weight of evidence is overvalued by counting it twice. Walton has proposed (...)
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  • Weinstein, Mark: Logic, Truth and Inquiry: College Publications, London, 2013.J. B. Freeman - 2015 - Argumentation 29 (3):361-377.
    In this essay, Weinstein wants to address the issue of argument strength, of how strongly the premises of an argument support a conclusion. Using the framework of the Toulmin model, arguments have warrants which indicate some general connection between the premises and the conclusion of the argument. We may ask for the backing of the warrant, evidence for it. If the connection is an empirical generalization, the backing includes data supporting the generalization. But the backing may include theoretical generalizations, which (...)
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  • Cohen on contraposition.N. E. Wetherick - 1981 - Behavioral and Brain Sciences 4 (3):358-358.
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  • Propensity, evidence, and diagnosis.J. L. Mackie - 1981 - Behavioral and Brain Sciences 4 (3):345-346.
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  • Logic and probability theory versus canons of rationality.Gilbert Harman - 1983 - Behavioral and Brain Sciences 6 (2):251-251.
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  • Conjunctive bliss.Isaac Levi - 1983 - Behavioral and Brain Sciences 6 (2):254-255.
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  • On the testability of ECHO.D. C. Earle - 1989 - Behavioral and Brain Sciences 12 (3):474-474.
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  • What's in a link?Jerome A. Feldman - 1989 - Behavioral and Brain Sciences 12 (3):474-475.
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  • Rational belief.Henry E. Kyburg - 1983 - Behavioral and Brain Sciences 6 (2):231-245.
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