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  1. Two-Context Probabilism and the Dissolution of the 'Lottery' Problem.Gregor Flock - manuscript
    In this paper it will be attempted to dissolve the lottery problem based on fallibilism, probabilism and the introduction of a so far widely neglected second context of knowledge. First, it will be argued that the lottery problem is actually an exemplification of the much wider Humean "future knowledge problem" (ch. 1). Two types of inferences and arguments will be examined, compared and evaluated in respect to their ability to fittingly describe the thought processes behind lottery/future knowledge propositions (ch. 2). (...)
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  2. Modal Epistemology.Juhani Yli-Vakkuri & John Hawthorne - manuscript
    Some central epistemological notions are expressed by sentential operators O that entail the possibility of knowledge in the sense that 'Op' entails 'It is possible to know that p'. We call these modal-epistemological notions. Using apriority and being in a position to know as case studies, we argue that the logics of modal epistemological notions are extremely weak. In particular, their logics are not normal and do not include any closure principles.
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  3. Pragmatic Encroachment and Closure.Charity Anderson & John Hawthorne - forthcoming - In Brian Kim & Matthew McGrath (eds.), Pragmatic Encroachment in Epistemology. Routledge.
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  4. Safety, Closure, and Extended Methods.Simon Goldstein & John Hawthorne - forthcoming - Journal of Philosophy.
    Recent research has identified a tension between the Safety principle that knowledge is belief without risk of error, and the Closure principle that knowledge is preserved by competent deduction. Timothy Williamson reconciles Safety and Closure by proposing that when an agent deduces a conclusion from some premises, the agent’s method for believing the conclusion includes their method for believing each premise. We argue that this theory is untenable because it implies problematically easy epistemic access to one’s methods. Several possible solutions (...)
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  5. Underdetermination and Closure: Thoughts on Two Sceptical Arguments.Martin Smith - forthcoming - In Matthew Jope & Duncan Pritchard (eds.), New Perspectives on Epistemic Closure. Routledge.
    In this paper, I offer reasons for thinking that two prominent sceptical arguments in the literature – the underdetermination-based sceptical argument and the closure-based sceptical argument – are less philosophically interesting than is commonly supposed. The underdetermination-based argument begs the question against a non-sceptic and can be dismissed with little fanfare. The closure-based argument, though perhaps not question-begging per se, does rest upon contentious assumptions that a non-sceptic is under no pressure to accept.
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  6. Risky Belief.Martin Smith - forthcoming - Philosophy and Phenomenological Research.
    In this paper I defend the claim that justification is closed under conjunction, and confront its most alarming consequence – that one can have justification for believing propositions that are unlikely to be true, given one’s evidence.
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  7. The Hardest Paradox for Closure.Martin Smith - 2022 - Erkenntnis 87 (4):2003-2028.
    According to the principle of Conjunction Closure, if one has justification for believing each of a set of propositions, one has justification for believing their conjunction. The lottery and preface paradoxes can both be seen as posing challenges for Closure, but leave open familiar strategies for preserving the principle. While this is all relatively well-trodden ground, a new Closure-challenging paradox has recently emerged, in two somewhat different forms, due to Backes :3773–3787, 2019a) and Praolini :715–726, 2019). This paradox synthesises elements (...)
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  8. Sensitivity, Safety, and Epistemic Closure.Bin Zhao - 2022 - International Journal of Philosophical Studies 30 (1):56-71.
    It has been argued that an advantage of the safety account over the sensitivity account is that the safety account preserves epistemic closure, while the sensitivity account implies epistemic closu...
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  9. A Cumulative Case Argument for Infallibilism.Nevin Climenhaga - 2021 - In Christos Kyriacou & Kevin Wallbridge (eds.), Skeptical Invariantism Reconsidered. Routledge.
    I present a cumulative case for the thesis that we only know propositions that are certain for us. I argue that this thesis can easily explain the truth of eight plausible claims about knowledge: -/- (1) There is a qualitative difference between knowledge and non-knowledge. (2) Knowledge is valuable in a way that non-knowledge is not. (3) Subjects in Gettier cases do not have knowledge. (4) If S knows that P, P is part of S’s evidence. (5) If S knows (...)
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  10. Knowability Relative to Information.Peter Hawke & Franz Berto - 2021 - Mind 130 (517):1-33.
    We present a formal semantics for epistemic logic, capturing the notion of knowability relative to information (KRI). Like Dretske, we move from the platitude that what an agent can know depends on her (empirical) information. We treat operators of the form K_AB (‘B is knowable on the basis of information A’) as variably strict quantifiers over worlds with a topic- or aboutness- preservation constraint. Variable strictness models the non-monotonicity of knowledge acquisition while allowing knowledge to be intrinsically stable. Aboutness-preservation models (...)
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  11. Four Arguments for Denying That Lottery Beliefs Are Justified.Martin Smith - 2021 - In Douven, I. ed. Lotteries, Knowledge and Rational Belief: Essays on the Lottery Paradox (Cambridge: Cambridge University Press). Cambridge:
    A ‘lottery belief’ is a belief that a particular ticket has lost a large, fair lottery, based on nothing more than the odds against it winning. The lottery paradox brings out a tension between the idea that lottery beliefs are justified and the idea that that one can always justifiably believe the deductive consequences of things that one justifiably believes – what is sometimes called the principle of closure. Many philosophers have treated the lottery paradox as an argument against the (...)
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  12. Perceptual Knowledge, Discrimination, and Closure.Santiago Echeverri - 2020 - Erkenntnis 85 (6):1361-1378.
    Carter and Pritchard (2016) and Pritchard (2010, 2012, 2016) have tried to reconcile the intuition that perceptual knowledge requires only limited discriminatory abilities with the closure principle. To this end, they have introduced two theoretical innovations: a contrast between two ways of introducing error-possibilities and a distinction between discriminating and favoring evidence. I argue that their solution faces the “sufficiency problem”: it is unclear whether the evidence that is normally available to adult humans is sufficient to retain knowledge of the (...)
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  13. The Fundamental Problem of Logical Omniscience.Peter Hawke, Aybüke Özgün & Francesco Berto - 2020 - Journal of Philosophical Logic 49 (4):727-766.
    We propose a solution to the problem of logical omniscience in what we take to be its fundamental version: as concerning arbitrary agents and the knowledge attitude per se. Our logic of knowledge is a spin-off from a general theory of thick content, whereby the content of a sentence has two components: an intension, taking care of truth conditions; and a topic, taking care of subject matter. We present a list of plausible logical validities and invalidities for the logic of (...)
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  14. Rosenkranz’s Logic of Justification and Unprovability.Jan Heylen - 2020 - Journal of Philosophical Logic 49 (6):1243-1256.
    Rosenkranz has recently proposed a logic for propositional, non-factive, all-things-considered justification, which is based on a logic for the notion of being in a position to know, 309–338 2018). Starting from three quite weak assumptions in addition to some of the core principles that are already accepted by Rosenkranz, I prove that, if one has positive introspective and modally robust knowledge of the axioms of minimal arithmetic, then one is in a position to know that a sentence is not provable (...)
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  15. The Mind as a Sponge, its Cognitive Artifacts, and Being in the 21st Century.Ho Manh Tung - 2020 - OSF Preprints 2020 (10).
    In this essay, I discuss the analogy of the mind as a sponge, the issues of cognitive artifacts, and being a mind in the 21st century.
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  16. Closure, Credence and Rationality: A Problem for Non-Belief Hinge Epistemology.Matt Jope - 2019 - Synthese (Suppl 15):1-11.
    Duncan Pritchard’s Epistemic Angst promises a novel solution to the closure-based sceptical problem that, unlike more traditional solutions, does not entail revising our fundamental epistemological commitments. In order to do this, it appeals to a Wittgensteinian account of rational evaluation, the overarching theme of which is that it neither makes sense to doubt nor to believe in our anti-sceptical hinge commitments. The purpose of this paper is to show that the argument for the claim that there can be no rational (...)
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  17. Mark McBride, Basic Knowledge and Conditions on Knowledge, Cambridge: Open Book Publishers, 2017, 228 Pp., £16.95 , ISBN 978‐1‐78374‐283‐7. [REVIEW]Artūrs Logins - 2019 - Dialectica 73 (1-2):280-285.
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  18. Knowing and Checking: An Epistemological Investigation.Guido Melchior - 2019 - New York City, New York, USA: Routledge.
    This book is primarily about checking and only derivatively about knowing. Checking is a very common concept for describing a subject’s epistemic goals and actions. Surprisingly, there has been no philosophical attention paid to the notion of checking. In Part I, I develop a sensitivity account of checking. To be more explicit, I analyze the internalist and externalist components of the epistemic action of checking which include the intentions of the checking subject and the necessary externalist features of the method (...)
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  19. Epistemic Closure in Folk Epistemology.James R. Beebe & Jake Monaghan - 2018 - In Oxford Studies in Experimental Philosophy, Volume Two. New York: Oxford University Press. pp. 38-70.
    We report the results of four empirical studies designed to investigate the extent to which an epistemic closure principle for knowledge is reflected in folk epistemology. Previous work by Turri (2015a) suggested that our shared epistemic practices may only include a source-relative closure principle—one that applies to perceptual beliefs but not to inferential beliefs. We argue that the results of our studies provide reason for thinking that individuals are making a performance error when their knowledge attributions and denials conflict with (...)
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  20. Can Probability Theory Explain Why Closure is Both Intuitive and Prone to Counterexamples?Marcello Di Bello - 2018 - Philosophical Studies 175 (9):2145-2168.
    Epistemic closure under known implication is the principle that knowledge of "p" and knowledge of "p implies q", together, imply knowledge of "q". This principle is intuitive, yet several putative counterexamples have been formulated against it. This paper addresses the question, why is epistemic closure both intuitive and prone to counterexamples? In particular, the paper examines whether probability theory can offer an answer to this question based on four strategies. The first probability-based strategy rests on the accumulation of risks. The (...)
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  21. Enough is Enough: Austin on Knowing.Guy Longworth - 2018 - In Savas L. Tsohatzidis (ed.), Interpreting J. L. Austin: Critical Essays. Oxford, UK: pp. 186–205.
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  22. Ignorance and Knowledge: The Viability of Externalist Neo-Mooreanism as a Resonse to Radical Scepticism.John Asquith - 2017 - Dissertation, King's College London
    Here, I shall be examining the viability of a Moorean response to the Argument from Ignorance; i.e., one that tries to rebut the argument by denying its first premise that we cannot have knowledge that we are not BIVs. After first explicating the Argument from Ignorance in detail, I then go on to try and motivate this approach by critically examining two alternative approaches to dealing with radical scepticism: closure-denial, and attributer contextualism. Finding them wanting, I then turn to a (...)
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  23. Lotteries and Prefaces.Matthew A. Benton - 2017 - In Jonathan Jenkins Ichikawa (ed.), The Routledge Handbook of Epistemic Contextualism. New York: Routledge. pp. 168-176.
    The lottery and preface paradoxes pose puzzles in epistemology concerning how to think about the norms of reasonable or permissible belief. Contextualists in epistemology have focused on knowledge ascriptions, attempting to capture a set of judgments about knowledge ascriptions and denials in a variety of contexts (including those involving lottery beliefs and the principles of closure). This article surveys some contextualist approaches to handling issues raised by the lottery and preface, while also considering some of the difficulties encountered by those (...)
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  24. On Sharon and Spectre’s Argument Against Closure.Juan Comesaña - 2017 - Philosophical Studies 174 (4):1039-1046.
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  25. Skepticism and Epistemic Closure: Two Bayesian Accounts.Luca Moretti & Tomoji Shogenji - 2017 - International Journal for the Study of Skepticism 7 (1):1-25.
    This paper considers two novel Bayesian responses to a well-known skeptical paradox. The paradox consists of three intuitions: first, given appropriate sense experience, we have justification for accepting the relevant proposition about the external world; second, we have justification for expanding the body of accepted propositions through known entailment; third, we do not have justification for accepting that we are not disembodied souls in an immaterial world deceived by an evil demon. The first response we consider rejects the third intuition (...)
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  26. Evidence and the Openness of Knowledge.Assaf Sharon & Levi Spectre - 2017 - Philosophical Studies 174 (4):1001-1037.
    The paper argues that knowledge is not closed under logical inference. The argument proceeds from the openness of evidential support and the dependence of empirical knowledge on evidence, to the conclusion that knowledge is open. Without attempting to provide a full-fledged theory of evidence, we show that on the modest assumption that evidence cannot support both a proposition and its negation, or, alternatively, that information that reduces the probability of a proposition cannot constitute evidence for its truth, the relation of (...)
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  27. Being in a Position to Know and Closure.Jan Heylen - 2016 - Thought: A Journal of Philosophy 5 (1):63-67.
    The focus of this article is the question whether the notion of being in a position to know is closed under modus ponens. The question is answered negatively.
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  28. Learning From Learning From Our Mistakes.Clayton Littlejohn - 2016 - In Pedro Schmechtig & Martin Grajner (eds.), Epistemic Reasons, Norms and Goals. De Gruyter. pp. 51-70.
    What can we learn from cases of knowledge from falsehood? Critics of knowledge-first epistemology have argued that these cases provide us with good reason for rejecting the knowledge accounts of evidence, justification, and the norm of belief. I shall offer a limited defense of the knowledge-first approach to these matters. Knowledge from falsehood cases should undermine our confidence in like-from-like reasoning in epistemology. Just as we should be open to the idea that knowledge can come from non-knowledge, we should be (...)
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  29. Easy Knowledge, Closure Failure, or Skepticism: A Trilemma.Guido Melchior - 2016 - Metaphilosophy 47 (2):214-232.
    This article aims to provide a structural analysis of the problems related to the easy knowledge problem. The easy knowledge problem is well known. If we accept that we can have basic knowledge via a source without having any prior knowledge about the reliability or accuracy of this source, then we can acquire knowledge about the reliability or accuracy of this source too easily via information delivered by the source. Rejecting any kind of basic knowledge, however, leads into an infinite (...)
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  30. Semantic Externalism. [REVIEW]Ricardo Miguel & Diogo Santos - 2016 - Disputatio 8 (42):131-137.
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  31. An Argument for External World Skepticism From the Appearance/Reality Distinction.Moti Mizrahi - 2016 - International Journal for the Study of Skepticism 6 (4):368-383.
    In this paper, I argue that arguments from skeptical hypotheses for external world skepticism derive their support from a skeptical argument from the distinction between appearance and reality. This skeptical argument from the appearance/reality distinction gives the external world skeptic her conclusion without appealing to skeptical hypotheses and without assuming that knowledge is closed under known entailments. If this is correct, then this skeptical argument from the appearance/reality distinction poses a new skeptical challenge that cannot be resolved by denying skeptical (...)
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  32. On Synchronic Dogmatism.Rodrigo Borges - 2015 - Synthese 192 (11):3677-3693.
    Saul Kripke argued that the requirement that knowledge eliminate all possibilities of error leads to dogmatism . According to this view, the dogmatism puzzle arises because of a requirement on knowledge that is too strong. The paper argues that dogmatism can be avoided even if we hold on to the strong requirement on knowledge. I show how the argument for dogmatism can be blocked and I argue that the only other approach to the puzzle in the literature is mistaken.
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  33. Lotteries, Possibility and Skepticism.Daniel Immerman - 2015 - Skepsis: A Journal for Philosophy and Interdisciplinary Research 12:51-67.
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  34. The New and Old Ignorance Puzzles: How Badly Do We Need Closure?Brent G. Kyle - 2015 - Synthese 192 (5):1495-1525.
    Skeptical puzzles and arguments often employ knowledge-closure principles . Epistemologists widely believe that an adequate reply to the skeptic should explain why her reasoning is appealing albeit misleading; but it’s unclear what would explain the appeal of the skeptic’s closure principle, if not for its truth. In this paper, I aim to challenge the widespread commitment to knowledge-closure. But I proceed by first examining a new puzzle about failing to know—what I call the New Ignorance Puzzle . This puzzle resembles (...)
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  35. An Open and Shut Case: Epistemic Closure in the Manifest Image.John Turri - 2015 - Philosophers' Imprint 15.
    The epistemic closure principle says that knowledge is closed under known entailment. The closure principle is deeply implicated in numerous core debates in contemporary epistemology. Closure’s opponents claim that there are good theoretical reasons to abandon it. Closure’s proponents claim that it is a defining feature of ordinary thought and talk and, thus, abandoning it is radically revisionary. But evidence for these claims about ordinary practice has thus far been anecdotal. In this paper, I report five studies on the status (...)
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  36. Counter Closure and Knowledge Despite Falsehood.Brian Ball & Michael Blome-Tillmann - 2014 - Philosophical Quarterly 64 (257):552-568.
    Certain puzzling cases have been discussed in the literature recently which appear to support the thought that knowledge can be obtained by way of deduction from a falsehood; moreover, these cases put pressure, prima facie, on the thesis of counter closure for knowledge. We argue that the cases do not involve knowledge from falsehood; despite appearances, the false beliefs in the cases in question are causally, and therefore epistemologically, incidental, and knowledge is achieved despite falsehood. We also show that the (...)
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  37. What’s the Matter with Epistemic Circularity?David James Barnett - 2014 - Philosophical Studies 171 (2):177-205.
    If the reliability of a source of testimony is open to question, it seems epistemically illegitimate to verify the source’s reliability by appealing to that source’s own testimony. Is this because it is illegitimate to trust a questionable source’s testimony on any matter whatsoever? Or is there a distinctive problem with appealing to the source’s testimony on the matter of that source’s own reliability? After distinguishing between two kinds of epistemically illegitimate circularity—bootstrapping and self-verification—I argue for a qualified version of (...)
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  38. Epistemic Closure, Assumptions and Topics of Inquiry.Marcello Di Bello - 2014 - Synthese 191 (16):3977-4002.
    According to the principle of epistemic closure, knowledge is closed under known implication. The principle is intuitive but it is problematic in some cases. Suppose you know you have hands and you know that ‘I have hands’ implies ‘I am not a brain-in-a-vat’. Does it follow that you know you are not a brain-in-a-vat? It seems not; it should not be so easy to refute skepticism. In this and similar cases, we are confronted with a puzzle: epistemic closure is an (...)
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  39. Information Closure and the Sceptical Objection.Luciano Floridi - 2014 - Synthese 191 (6):1037-1050.
    In this article, I define and then defend the principle of information closure (pic) against a sceptical objection similar to the one discussed by Dretske in relation to the principle of epistemic closure. If I am successful, given that pic is equivalent to the axiom of distribution and that the latter is one of the conditions that discriminate between normal and non-normal modal logics, a main result of such a defence is that one potentially good reason to look for a (...)
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  40. On the Factivity of Implicit Intersubjective Knowledge.Alessandro Giordani - 2014 - Synthese 191 (8):1909-1923.
    The concept of knowledge can be modelled in epistemic modal logic and, if modelled by using a standard modal operator, it is subject to the problem of logical omniscience. The classical solution to this problem is to distinguish between implicit and explicit knowledge and to construe the knowledge operator as capturing the concept of implicit knowledge. In addition, since a proposition is said to be implicitly known just in case it is derivable from the set of propositions that are explicitly (...)
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  41. Three Concepts of Chemical Closure and Their Epistemological Significance.Joseph E. Earley - 2013 - In Jean-Pierre Llored (ed.), The Philosophy of Chemistry: Practices, Methodology, and Concepts. Newcastle upon Tyne: Cambridge Scholars Press. pp. 506-616.
    Philosophers have long debated ‘substrate’ and ‘bundle’ theories as to how properties hold together in objects ― but have neglected to consider that every chemical entity is defined by closure of relationships among components ― here designated ‘Closure Louis de Broglie.’ That type of closure underlies the coherence of spectroscopic and chemical properties of chemical substances, and is importantly implicated in the stability and definition of entities of many other types, including those usually involved in philosophic discourse ― such as (...)
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  42. A Defence of the Principle of Information Closure Against the Sceptical Objection.Luciano Floridi - 2013 - In Hanne Andersen, Dennis Dieks, Wenceslao González, Thomas Uebel & Gregory Wheeler (eds.), New Challenges to Philosophy of Science. Springer Verlag. pp. 35--47.
    The topic of this paper may be introduced by fast zooming in and out of the philosophy of information. In recent years, philosophical interest in the nature of information has been increasing steadily. This has led to a focus on semantic information, and then on the logic of being informed, which has attracted analyses concentrating both on the statal sense in which S holds the information that p (this is what I mean by logic of being informed in the rest (...)
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  43. The Problem of Rational Knowledge.Mark Jago - 2013 - Erkenntnis (S6):1-18.
    Real-world agents do not know all consequences of what they know. But we are reluctant to say that a rational agent can fail to know some trivial consequence of what she knows. Since every consequence of what she knows can be reached via chains of trivial cot be dismissed easily, as some have attempted to do. Rather, a solution must give adequate weight to the normative requirements on rational agents’ epistemic states, without treating those agents as mathematically ideal reasoners. I’ll (...)
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  44. The Bayesian Explanation of Transmission Failure.Geoff Pynn - 2013 - Synthese 190 (9):1519-1531.
    Even if our justified beliefs are closed under known entailment, there may still be instances of transmission failure. Transmission failure occurs when P entails Q, but a subject cannot acquire a justified belief that Q by deducing it from P. Paradigm cases of transmission failure involve inferences from mundane beliefs (e.g., that the wall in front of you is red) to the denials of skeptical hypotheses relative to those beliefs (e.g., that the wall in front of you is not white (...)
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  45. Rational Self-Doubt and the Failure of Closure.Joshua Schechter - 2013 - Philosophical Studies 163 (2):428-452.
    Closure for justification is the claim that thinkers are justified in believing the logical consequences of their justified beliefs, at least when those consequences are competently deduced. Many have found this principle to be very plausible. Even more attractive is the special case of Closure known as Single-Premise Closure. In this paper, I present a challenge to Single-Premise Closure. The challenge is based on the phenomenon of rational self-doubt – it can be rational to be less than fully confident in (...)
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  46. Epistemic Closure Under Deductive Inference: What is It and Can We Afford It?Assaf Sharon & Levi Spectre - 2013 - Synthese 190 (14):2731-2748.
    The idea that knowledge can be extended by inference from what is known seems highly plausible. Yet, as shown by familiar preface paradox and lottery-type cases, the possibility of aggregating uncertainty casts doubt on its tenability. We show that these considerations go much further than previously recognized and significantly restrict the kinds of closure ordinary theories of knowledge can endorse. Meeting the challenge of uncertainty aggregation requires either the restriction of knowledge-extending inferences to single premises, or eliminating epistemic uncertainty in (...)
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  47. Nozick's Defense of Closure.Peter Baumann - 2012 - In Kelly Becker & Tim Black (eds.), The Sensitivity Principle in Epistemology. Cambridge University Press. pp. 11--27.
    This paper argues against common views that at least in many cases Robert Nozick is not forced to deny common closure principles. More importantly, Nozick does not – despite first (and second) appearances and despite his own words – deny closure. On the contrary, he is defending a more sophisticated and complex principle of closure. This principle does remarkably well though it is not without problems. It is surprising how rarely Nozick’s principle of closure has been discussed. He should be (...)
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  48. Epistemic closure.Peter Baumann - 2011 - In Duncan Pritchard & Sven Bernecker (eds.), The Routledge Companion to Epistemology. Routledge. pp. 597--608.
    This article gives an overview over different principles of epistemic closure, their attractions and their problems.
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  49. Radical Skepticism, Closure, and Robust Knowledge.J. Adam Carter - 2011 - Journal of Philosophical Research 36:115-133.
    The Neo-Moorean response to the radical skeptical challenge boldly maintains that we can know we’re not the victims of radical skeptical hypotheses; accordingly, our everyday knowledge that would otherwise be threatened by our inability to rule out such hypotheses stands unthreatened. Given the leverage such an approach has against the skeptic from the very start, the Neo-Moorean line is an especially popular one; as we shall see, though, it faces several commonly overlooked problems. An initial problem is that this particular (...)
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  50. 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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