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Probability and Danger

Amherst Lecture in Philosophy (2009)

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  1. Gratuitous risk: danger and recklessness perception of adventure sports participants.Philip A. Ebert, Ian Durbach & Claire Field - forthcoming - Journal of the Philosophy of Sport:1-18.
    Since the 1970’s there has been a major increase in adventure sports participation but it seems that engagement in such sports comes with a stigma: adventure sports participants are often regarded as reckless ‘daredevils’. We approach the questions about people’s perception of risk and recklessness in adventure sports by combining empirical research with philosophical analysis. First, we provide empirical evidence that suggests that laypeople tend to assess the danger of adventure sports as greater than more mundane sports and judge adventure (...)
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  • The Logic of Hyperlogic. Part A: Foundations.Alexander W. Kocurek - 2024 - Review of Symbolic Logic 17 (1):244-271.
    Hyperlogic is a hyperintensional system designed to regiment metalogical claims (e.g., “Intuitionistic logic is correct” or “The law of excluded middle holds”) into the object language, including within embedded environments such as attitude reports and counterfactuals. This paper is the first of a two-part series exploring the logic of hyperlogic. This part presents a minimal logic of hyperlogic and proves its completeness. It consists of two interdefined axiomatic systems: one for classical consequence (truth preservation under a classical interpretation of the (...)
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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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  • Reference in remembering: towards a simulationist account.James Openshaw & Kourken Michaelian - 2024 - Synthese 203 (3):1-32.
    Recent theories of remembering and of reference (or singular thought) have de-emphasised the role causation was thought to play in mid- to late-twentieth century theorising. According to postcausal theories of remembering, such as simulationism, instances of the psychofunctional kind _remembering_ are not, in principle, dependent on appropriate causal chains running from some event(s) remembered to the occurrence of remembering. Instead they depend only on the reliability, or proper functioning, of the cognitive system responsible for their production. According to broadly reliabilist (...)
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  • Gibbard on meaning and normativity.Timothy Williamson - 2018 - Inquiry: An Interdisciplinary Journal of Philosophy 61 (7):731-741.
    The paper is a critique of Allan Gibbard’s impressively crafted monograph Meaning and Normativity. The book relies on a subtle form of logical empiricism, developing a normative verificationist semantics within a subjective Bayesian framework. I argue that the resulting account of synonymy is too fine-grained, since it counts clearly synonymous words in different languages as non-synonymous. For similar reasons, Gibbard’s account of analytic implication relies on postulating untenable connections between semantics and epistemology. I conclude that one of the main obstacles (...)
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  • A Causal Safety Criterion for Knowledge.Jonathan Vandenburgh - forthcoming - Erkenntnis:1-21.
    Safety purports to explain why cases of accidentally true belief are not knowledge, addressing Gettier cases and cases of belief based on statistical evidence. However, problems arise for using safety as a condition on knowledge: safety is not necessary for knowledge and cannot always explain the Gettier cases and cases of statistical evidence it is meant to address. In this paper, I argue for a new modal condition designed to capture the non-accidental relationship between facts and evidence required for knowledge: (...)
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  • A Note on Knowing and Checking.Danilo Šuster - 2023 - Acta Analytica 38 (1):79-93.
    I raise some questions about differentiations between methods, checking methods, and appropriate methods in terms of their modal profiles. Melchior argues that there can be sensitive checking methods which are not safe. I try to show that such methods are epistemically deficient. I introduce restricted sensitivity (RS) and investigate its checking profile. RS with respect to a proposition _p_ requires that we consider more non-p worlds (not just the closest ones) but not those which are irrelevant (outside a sphere of (...)
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  • In defence of single-premise closure.Weng Hong Tang - 2018 - Philosophical Studies 175 (8):1887-1900.
    It’s often thought that the phenomenon of risk aggregation poses a problem for multi-premise closure but not for single-premise closure. But recently, Lasonen-Aarnio and Schechter have challenged this thought. Lasonen-Aarnio argues that, insofar as risk aggregation poses a problem for multi-premise closure, it poses a similar problem for single-premise closure. For she thinks that, there being such a thing as deductive risk, risk may aggregate over a single premise and the deduction itself. Schechter argues that single-premise closure succumbs to risk (...)
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  • Graded Abilities and Action Fragility.David Storrs-Fox - forthcoming - Erkenntnis:1-19.
    Recent work by Alfred Mele, Romy Jaster and Chandra Sripada recognizes that abilities come in degrees of fallibility. The rough idea is that abilities are often not surefire. They are liable to fail. The more liable an ability is to fail, the more fallible it is. Fallibility is plausibly significant for addiction, responsibility, and normative theorizing. However, we lack an adequate account of what fallibility consists in. This article addresses that problem. Perhaps the most natural approach is to say (roughly) (...)
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  • Safety, Evidence, and Epistemic Luck.Michael J. Shaffer - 2022 - Acta Analytica 37 (1):121-134.
    This paper critically explores Timothy Williamson’s view of evidence, and it does so in light of the problem of epistemic luck. Williamson’s view of evidence is, of course, a crucially important aspect of his novel and influential “knowledge-first” epistemological project. Notoriously, one crucial thesis of this project is that one’s evidence is equivalent to what one knows. This has come to be known as the E = K thesis. This paper specifically addresses Williamson’s knowledge-first epistemology and the E = K (...)
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  • Practical reasoning and degrees of outright belief.Moritz Schulz - 2021 - Synthese 199 (3-4):8069-8090.
    According to a suggestion by Williamson, outright belief comes in degrees: one has a high/low degree of belief iff one is willing to rely on the content of one’s belief in high/low-stakes practical reasoning. This paper develops an epistemic norm for degrees of outright belief so construed. Starting from the assumption that outright belief aims at knowledge, it is argued that degrees of belief aim at various levels of strong knowledge, that is, knowledge which satisfies particularly high epistemic standards. This (...)
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  • Elusive Externalism.Bernhard Salow - 2019 - Mind 128 (510):397-427.
    Epistemologists have recently noted a tension between (i) denying access internalism, and (ii) maintaining that rational agents cannot be epistemically akratic, believing claims akin to ‘p, but I shouldn’t believe p’. I bring out the tension, and develop a new way to resolve it. The basic strategy is to say that access internalism is false, but that counterexamples to it are ‘elusive’ in a way that prevents rational agents from suspecting that they themselves are counterexamples to the internalist principles. I (...)
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  • Peer Disagreement: A Call for the Revision of Prior Probabilities.Sven Rosenkranz & Moritz Schulz - 2015 - Dialectica 69 (4):551-586.
    The current debate about peer disagreement has so far mainly focused on the question of whether peer disagreements provide genuine counterevidence to which we should respond by revising our credences. By contrast, comparatively little attention has been devoted to the question by which process, if any, such revision should be brought about. The standard assumption is that we update our credences by conditionalizing on the evidence that peer disagreements provide. In this paper, we argue that non-dogmatist views have good reasons (...)
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  • Knowledge, Safety, and Meta‐Epistemic Belief.Jacob Ross - 2018 - Pacific Philosophical Quarterly 99 (3):550-554.
    This article raises problems both for the view that safe belief is necessary for knowledge and for the view that it is sufficient. Focusing on ‘meta‐epistemic beliefs,’ or beliefs about the epistemic status of one's own beliefs, it is shown that the necessity claim has counterintuitive implications and that the sufficiency claim implies a contradiction. It is then shown that meta‐epistemic beliefs raise similar problems for a wide range of accounts of knowledge, and hence that they provide a powerful test (...)
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  • Beware of Safety.Christian Piller - 2019 - Analytic Philosophy 60 (4):01-29.
    Safety, as discussed in contemporary epistemology, is a feature of true beliefs. Safe beliefs, when formed by the same method, remain true in close-by possible worlds. I argue that our beliefs being safely true serves no recognisable epistemic interest and, thus, that this notion of safety should play no role in epistemology. Epistemologists have been misled by failing to distinguish between a feature of beliefs — being safely true — and a feature of believers, namely being safe from error. The (...)
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  • Skill in epistemology I: Skill and knowledge.Carlotta Pavese - 2016 - Philosophy Compass 11 (11):642-649.
    Knowledge and skill are intimately connected. In this essay, I discuss the question of their relationship and of which (if any) is prior to which in the order of explanation. I review some of the answers that have been given thus far in the literature, with a particular focus on the many foundational issues in epistemology that intersect with the philosophy of skill.
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  • Safety and Necessity.Niall J. Paterson - 2022 - Erkenntnis 87 (3):1081-1097.
    Can epistemic luck be captured by modal conditions such as safety from error? This paper answers ‘no’. First, an old problem is cast in a new light: it is argued that the trivial satisfaction associated with necessary truths and accidentally robust propositions is a symptom of a more general disease. Namely, epistemic luck but not safety from error is hyperintensional. Second, it is argued that as a consequence the standard solution to deal with this worry, namely the invocation of content (...)
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  • Non‐Accidental Knowing.Niall J. Paterson - 2020 - Southern Journal of Philosophy 58 (2):302-326.
    Knowledge excludes luck. According to the received view, this intuition reveals that knowing is essentially modal in character. This paper demurs. Either knowledge does not exclude luck, or the entailment reveals nothing about its conceptual character. It is argued that knowledge excludes accidentality, and that this notion is not modal but causal‐explanatory. There are three central tasks. The first is to explicate the concept of accident. The second is to argue that the concepts of luck and accident are “intensionally distinct,” (...)
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  • Logic talk.Alexander W. Kocurek - 2021 - Synthese 199 (5-6):13661-13688.
    Sentences about logic are often used to show that certain embedding expressions are hyperintensional. Yet it is not clear how to regiment “logic talk” in the object language so that it can be compositionally embedded under such expressions. In this paper, I develop a formal system called hyperlogic that is designed to do just that. I provide a hyperintensional semantics for hyperlogic that doesn’t appeal to logically impossible worlds, as traditionally understood, but instead uses a shiftable parameter that determines the (...)
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  • Counterlogicals as Counterconventionals.Alexander W. Kocurek & Ethan J. Jerzak - 2021 - Journal of Philosophical Logic 50 (4):673-704.
    We develop and defend a new approach to counterlogicals. Non-vacuous counterlogicals, we argue, fall within a broader class of counterfactuals known as counterconventionals. Existing semantics for counterconventionals, 459–482 ) and, 1–27 ) allow counterfactuals to shift the interpretation of predicates and relations. We extend these theories to counterlogicals by allowing counterfactuals to shift the interpretation of logical vocabulary. This yields an elegant semantics for counterlogicals that avoids problems with the usual impossible worlds semantics. We conclude by showing how this approach (...)
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  • Ability’s Two Dimensions of Robustness.Sophie Kikkert - 2022 - Proceedings of the Aristotelian Society 122 (3):348-357.
    The actions of able agents are often reliably successful. I argue that their success may be modally robust along two dimensions. The first dimension helps distinguish the exercise of abilities, which requires local control, from lucky success. The second concerns the global availability of acts: agents with the ability to φ can φ across a variety of circumstances. I introduce a framework that captures the two dimensions and their interaction, and show how it bears on a disagreement about the modal (...)
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  • Counterpossibles in Science: The Case of Relative Computability.Matthias Jenny - 2018 - Noûs 52 (3):530-560.
    I develop a theory of counterfactuals about relative computability, i.e. counterfactuals such as 'If the validity problem were algorithmically decidable, then the halting problem would also be algorithmically decidable,' which is true, and 'If the validity problem were algorithmically decidable, then arithmetical truth would also be algorithmically decidable,' which is false. These counterfactuals are counterpossibles, i.e. they have metaphysically impossible antecedents. They thus pose a challenge to the orthodoxy about counterfactuals, which would treat them as uniformly true. What’s more, I (...)
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  • Epistemic Closure and Epistemic Logic I: Relevant Alternatives and Subjunctivism.Wesley H. Holliday - 2015 - Journal of Philosophical Logic 44 (1):1-62.
    Epistemic closure has been a central issue in epistemology over the last forty years. According to versions of the relevant alternatives and subjunctivist theories of knowledge, epistemic closure can fail: an agent who knows some propositions can fail to know a logical consequence of those propositions, even if the agent explicitly believes the consequence (having “competently deduced” it from the known propositions). In this sense, the claim that epistemic closure can fail must be distinguished from the fact that agents do (...)
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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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  • What Killed Your Plant? Profligate Omissions and Weak Centering.Johannes Himmelreich - 2023 - Erkenntnis 88 (4):1683-1703.
    This paper is on the problem of profligate omissions. The problem is that counterfactual definitions of causation identify as a cause anything that could have prevented an effect but that did not actually occur, which is a highly counterintuitive result. Many solutions of this problem appeal to normative, epistemic, pragmatic, or metaphysical considerations. These existing solutions are in some sense substantive. In contrast, this paper concentrates on the semantics of counterfactuals. I propose to replace Strong Centering with Weak Centering. This (...)
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  • The Persistent Interlocutor.Job de Grefte - 2023 - Argumentation 37 (1):53-68.
    A Persistent Interlocutor (PI) is someone who, in argumentative contexts, does not cease to question her opponent’s premises. The epistemic relevance of the PI has been debated throughout the history of philosophy. Pyrrhonians famously claim that our inability to dialectically vindicate our claims against a PI implies scepticism. Adam Leite disagrees (2005). Michael Resorla argues that the debate is based on a false premise (2009). In this paper, I argue that these views all fail to accurately account for the epistemic (...)
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  • Towards a Hybrid Account of Luck.Job Grefte - 2020 - Pacific Philosophical Quarterly 101 (2):240-255.
    The concept of luck is important in various areas of philosophy. In this paper, I argue that two prominent accounts of luck, the modal and the probabilistic account of luck, need to be combined to accommodate the various ways in which luck comes in degrees. I briefly sketch such a hybrid account of luck, distinguish it from two similar accounts recently proposed, and consider some objections.
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  • Towards a Hybrid Account of Luck.Job de Grefte - 2020 - Pacific Philosophical Quarterly 101 (2):240-255.
    The concept of luck is important in various areas of philosophy. In this paper I argue that two prominent accounts of luck, the modal and the probabilistic account of luck, need to be combined to accommodate the various ways in which luck comes in degrees. I briefly sketch such a hybrid account of luck, distinguish it from two similar accounts recently proposed, and consider some objections.
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  • Taking a chance on KK.Jeremy Goodman & Bernhard Salow - 2018 - Philosophical Studies 175 (1):183-196.
    Dorr et al. present a case that poses a challenge for a number of plausible principles about knowledge and objective chance. Implicit in their discussion is an interesting new argument against KK, the principle that anyone who knows p is in a position to know that they know p. We bring out this argument, and investigate possible responses for defenders of KK, establishing new connections between KK and various knowledge-chance principles.
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  • Knowledge, counterfactuals, and determinism.Jeremy Goodman - 2015 - Philosophical Studies 172 (9):2275-2278.
    Deterministic physical theories are not beyond the reach of scientific discovery. From this fact I show that David Lewis was mistaken to think that small counterfactual perturbations from deterministic worlds involve violations of those world’s laws.
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  • Inexact Knowledge without Improbable Knowing.Jeremy Goodman - 2013 - Inquiry: An Interdisciplinary Journal of Philosophy 56 (1):30-53.
    In a series of recent papers, Timothy Williamson has argued for the surprising conclusion that there are cases in which you know a proposition in spite of its being overwhelmingly improbable given what you know that you know it. His argument relies on certain formal models of our imprecise knowledge of the values of perceptible and measurable magnitudes. This paper suggests an alternative class of models that do not predict this sort of improbable knowing. I show that such models are (...)
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  • Epistemology Normalized.Jeremy Goodman & Bernhard Salow - 2023 - Philosophical Review 132 (1):89-145.
    We offer a general framework for theorizing about the structure of knowledge and belief in terms of the comparative normality of situations compatible with one’s evidence. The guiding idea is that, if a possibility is sufficiently less normal than one’s actual situation, then one can know that that possibility does not obtain. This explains how people can have inductive knowledge that goes beyond what is strictly entailed by their evidence. We motivate the framework by showing how it illuminates knowledge about (...)
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  • Counterfactual Contamination.Simon Goldstein & John Hawthorne - 2022 - Australasian Journal of Philosophy 100 (2):262-278.
    Many defend the thesis that when someone knows p, they couldn’t easily have been wrong about p. But the notion of easy possibility in play is relatively undertheorized. One structural idea in the literature, the principle of Counterfactual Closure (CC), connects easy possibility with counterfactuals: if it easily could have happened that p, and if p were the case, then q would be the case, it follows that it easily could have happened that q. We first argue that while CC (...)
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  • Absolutely general knowledge.Rachel Elizabeth Fraser & Beau Madison Mount - 2022 - Philosophy and Phenomenological Research 103 (3):547-566.
    Philosophy and Phenomenological Research, Volume 103, Issue 3, Page 547-566, November 2021.
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  • What the doctor should do: perspectivist duties for objectivists about ought.Davide Fassio - 2022 - Philosophical Studies 179 (5):1523-1544.
    Objectivism is the view that how an agent ought to act depends on all kinds of facts, regardless of the agent’s epistemic position with respect to them. One of the most important challenges to this view is constituted by certain cases involving specific conditions of uncertainty—so-called three-options cases. In these cases it seems overwhelmingly plausible that an agent ought to do what is recommendable given her limited perspective, even though the agent knows that this is not objectively the best course (...)
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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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  • How to be an Infallibilist.Julien Dutant - 2016 - Philosophical Issues 26 (1):148-171.
    When spelled out properly infallibilism is a viable and even attractive view. Because it has long been summary dismissed, however, we need a guide on how to properly spell it out. The guide has to fulfil four tasks. The first two concern the nature of knowledge: to argue that infallible belief is necessary, and that it is sufficient, for knowledge. The other two concern the norm of belief: to argue that knowledge is necessary, and that it is sufficient, for justified (...)
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  • The omniscient speaker puzzle.Aleksander Domosławski - 2024 - Synthese 203 (65):1-16.
    The epistemicist theory aims to explain ignorance due to vagueness by semantic plasticity: the shiftiness of intensions across close possible worlds resulting from shiftiness in usage. This explanation is challenged by the Omniscient Speaker Puzzle (Sennet in Philos Stud 161(2):273–285, 2012). Suppose that an omniscient speaker, Barney, who knows all the facts about usage and how these facts determine the intensions of expressions, cooks up a scheme to stabilise the intension of a normally semantically plastic term like ‘rich’. It seems (...)
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  • Safety, Skepticism, and Lotteries.Dylan Dodd - 2012 - Erkenntnis 77 (1):95-120.
    Several philosophers have claimed that S knows p only if S’ s belief is safe, where S's belief is safe iff (roughly) in nearby possible worlds in which S believes p, p is true. One widely held intuition many people have is that one cannot know that one's lottery ticket will lose a fair lottery prior to an announcement of the winner, regardless of how probable it is that it will lose. Duncan Pritchard has claimed that a chief advantage of (...)
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  • Indicative and counterfactual conditionals: a causal-modeling semantics.Duen-Min Deng & Kok Yong Lee - 2021 - Synthese 199 (1-2):3993-4014.
    We construct a causal-modeling semantics for both indicative and counterfactual conditionals. As regards counterfactuals, we adopt the orthodox view that a counterfactual conditional is true in a causal model M just in case its consequent is true in the submodel M∗, generated by intervening in M, in which its antecedent is true. We supplement the orthodox semantics by introducing a new manipulation called extrapolation. We argue that an indicative conditional is true in a causal model M just in case its (...)
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  • Knowledge as Justified True Belief.Job de Grefte - 2021 - Erkenntnis (2):1-19.
    What is knowledge? I this paper I defend the claim that knowledge is justified true belief by arguing that, contrary to common belief, Gettier cases do not refute it. My defence will be of the anti-luck kind: I will argue that (1) Gettier cases necessarily involve veritic luck, and (2) that a plausible version of reliabilism excludes veritic luck. There is thus a prominent and plausible account of justification according to which Gettier cases do not feature justified beliefs, and therefore, (...)
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  • Knowledge as Justified True Belief.Job de Grefte - 2021 - Erkenntnis 88 (2):531-549.
    What is knowledge? I this paper I defend the claim that knowledge is justified true belief by arguing that, contrary to common belief, Gettier cases do not refute it. My defence will be of the anti-luck kind: I will argue that (1) Gettier cases necessarily involve veritic luck, and (2) that a plausible version of reliabilism excludes veritic luck. There is thus a prominent and plausible account of justification according to which Gettier cases do not feature justified beliefs, and therefore, (...)
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  • A Modal Criterion for Epistemic Argumentation.Job de Grefte - 2022 - Informal Logic 42 (2):389-415.
    In this paper, I spell out and argue for a new epistemic theory of argumentation. Contrary to extant views, this theory is compatible with a pluralistic framework on argumentation, where the norms governing argumentation depend on the aim with which we engage in the practice. A domain of specifically epistemic argumentation is singled out, and I argue based on recent findings in modal epistemology that this domain is governed by the modal norm of safety; where a belief is safe just (...)
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  • Luck as Risk and the Lack of Control Account of Luck.Fernando Broncano-Berrocal - 2015 - Metaphilosophy 46 (1):1-25.
    This essay explains the notion of luck in terms of risk. It starts by distinguishing two senses of risk, the risk that an event has of occurring and the risk at which an agent is with respect to an event. It cashes out the former in modal terms and the latter in terms of lack of control. It then argues that the presence or absence of event-relative risk marks a distinction between two types of luck or fortune commonly overlooked in (...)
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  • Knowledge, safety, and Gettierized lottery cases: Why mere statistical evidence is not a (safe) source of knowledge.Fernando Broncano-Berrocal - 2019 - Philosophical Issues 29 (1):37-52.
    The lottery problem is the problem of explaining why mere reflection on the long odds that one will lose the lottery does not yield knowledge that one will lose. More generally, it is the problem of explaining why true beliefs merely formed on the basis of statistical evidence do not amount to knowledge. Some have thought that the lottery problem can be solved by appeal to a violation of the safety principle for knowledge, i.e., the principle that if S knows (...)
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  • Sensitivity Actually.Michael Blome-Tillmann - 2017 - Philosophy and Phenomenological Research 94 (3):606-625.
    A number of prominent epistemologists claim that the principle of sensitivity “play[s] a starring role in the solution to some important epistemological problems”. I argue that traditional sensitivity accounts fail to explain even the most basic data that are usually considered to constitute their primary motivation. To establish this result I develop Gettier and lottery cases involving necessary truths. Since beliefs in necessary truths are sensitive by default, the resulting cases give rise to a serious explanatory problem for the defenders (...)
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  • Modal Virtue Epistemology.Bob Beddor & Carlotta Pavese - 2018 - Philosophy and Phenomenological Research 101 (1):61-79.
    This essay defends a novel form of virtue epistemology: Modal Virtue Epistemology. It borrows from traditional virtue epistemology the idea that knowledge is a type of skillful performance. But it goes on to understand skillfulness in purely modal terms — that is, in terms of success across a range of counterfactual scenarios. We argue that this approach offers a promising way of synthesizing virtue epistemology with a modal account of knowledge, according to which knowledge is safe belief. In particular, we (...)
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  • Inductive Knowledge.Andrew Bacon - 2018 - Noûs 54 (2):354-388.
    This paper formulates some paradoxes of inductive knowledge. Two responses in particular are explored: According to the first sort of theory, one is able to know in advance that certain observations will not be made unless a law exists. According to the other, this sort of knowledge is not available until after the observations have been made. Certain natural assumptions, such as the idea that the observations are just as informative as each other, the idea that they are independent, and (...)
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