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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. Esian Accounts.M. tti & oji nji - manuscript
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  3. 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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  4. Pragmatic Encroachment and Closure.Charity Anderson & John Hawthorne - forthcoming - In Brian Kim & Matthew McGrath (eds.), Pragmatic Encroachment in Epistemology. Routledge.
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  5. A Cumulative Case Argument for Infallibilism.Nevin Climenhaga - forthcoming - 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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  6. Knowability Relative to Information.Peter Hawke & Franz Berto - forthcoming - Mind.
    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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  7. Epistemic Logic and Epistemology.Wesley H. Holliday - forthcoming - In Sven Ove Hansson Vincent F. Hendricks (ed.), Handbook of Formal Philosophy. Springer.
    This chapter provides a brief introduction to propositional epistemic logic and its applications to epistemology. No previous exposure to epistemic logic is assumed. Epistemic-logical topics discussed include the language and semantics of basic epistemic logic, multi-agent epistemic logic, combined epistemic-doxastic logic, and a glimpse of dynamic epistemic logic. Epistemological topics discussed include Moore-paradoxical phenomena, the surprise exam paradox, logical omniscience and epistemic closure, formalized theories of knowledge, debates about higher-order knowledge, and issues of knowability raised by Fitch’s paradox. The references (...)
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  8. Epistemic Logic Without Closure.Stephan Leuenberger & Martin Smith - forthcoming - Synthese.
    All standard epistemic logics legitimate something akin to the principle of closure, according to which knowledge is closed under competent deductive inference. And yet the principle of closure, particularly in its multiple premise guise, has a somewhat ambivalent status within epistemology. One might think that serious concerns about closure point us away from epistemic logic altogether—away from the very idea that the knowledge relation could be fruitfully treated as a kind of modal operator. This, however, need not be so. The (...)
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  9. New Perspectives on Epistemic Closure.Duncan Pritchard & Matthew Jope (eds.) - forthcoming - London: Routledge.
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  10. Four Arguments for Denying That Lottery Beliefs Are Justified.Martin Smith - forthcoming - 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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  11. The Hardest Paradox for Closure.Martin Smith - forthcoming - Erkenntnis:1-26.
    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 Marvin Backes (2019a) and Francesco Praolini (2019). This paradox synthesises elements (...)
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  12. 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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  13. Sobre la distinción entre los principios epistémicos de clausura y de transmisión.Diego Rodríguez Téllez - forthcoming - Tópicos: Revista de Filosofía.
    In this paper I argue that two claims usually included in any minimally detailed presentation of the epistemic closure principle are inconsistent, namely, that closure explains how we extend our knowledge through deduction and that it is different from another epistemic principle, to wit, transmission. The attempt to offer a correct diagnosis of reasonings such as the one involved in Dretke’s zebra case is an instance of a discussion in which the distinction takes part. My argument has the following structure. (...)
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  14. Closure, Deduction and Hinge Commitments.Xiaoxing Zhang - forthcoming - Synthese.
    Duncan Pritchard recently proposed a Wittgensteinian solution to closure-based skepticism. According to Wittgenstein, all epistemic systems assume certain truths. The notions that we are not disembodied brains, that the Earth has existed for a long time and that one’s name is such-and-such all function as “hinge commitments.” Pritchard views a hinge commitment as a positive propositional attitude that is not a belief. Because closure principles concern only knowledge-apt beliefs, they do not apply to hinge commitments. Thus, from the fact that (...)
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  15. On the Alleged Instability of Externalist Anti-Skepticism.Matthew Jope - 2021 - Journal of Philosophy 118 (1):43-50.
    A certain brand of skeptical argument appeals to the thought that our inability to subjectively discriminate between competing hypotheses means that we are unwarranted in believing in either. Externalists respond by pointing out that such arguments depend on an internalist conception of warrant that we would do well to reject. This strategy has been criticised by Crispin Wright who argues that if we pursue the implications of externalism sufficiently far we find that it is ultimately unstable or incoherent. I first (...)
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  16. 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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  17. 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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  18. 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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  19. Williamson, Closure, and KK.Daniel Immerman - 2020 - Synthese 197 (8):3349-3373.
    Closure principles say that if you know some proposition which entails a second and you meet further conditions then you know the second. In this paper I construct an argument against closure principles which turns on the idea that knowing a proposition requires that one’s belief-forming process be reliable. My argument parallels an influential argument offered by Timothy Williamson against KK principles–principles that say that if you know some proposition and you meet further conditions then you know that you know (...)
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  20. The Self-Hollowing Problem of the Radical Sceptical Paradox.Changsheng Lai - 2020 - Erkenntnis 85 (5):1269-1288.
    The purpose of this paper is to provide a new solution to the radical sceptical paradox. A sceptical paradox purports to indicate the inconsistency within our fundamental epistemological commitments that are all seemingly plausible. Typically, sceptics employ an intuitively appealing epistemic principle to derive the sceptical conclusion. This paper will reveal a dilemma intrinsic to the sceptical paradox, which I refer to as the self-hollowing problem of radical scepticism. That is, on the one hand, if the sceptical conclusion turns out (...)
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  21. Sensitivity Principle in Epistemology.Guido Melchior - 2020 - Oxford Bibliographies Online.
    Sensitivity is a modal epistemic principle. Modal knowledge accounts are externalist in nature and claim that the knowledge yielding connection between a true belief and the truthmaker must be spelled out in modal terms. The sensitivity condition was introduced by Robert Nozick. He suggests that if S knows that p, then S’s belief that p tracks truth. Nozick argues that this truth-tracking relation can be captured by subjunctive conditionals. As a first approximation, he provides the following modal analysis of knowledge: (...)
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  22. 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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  23. Against Knowledge Closure.Marc Alspector-Kelly - 2019 - Cambridge University Press.
    Knowledge closure is the claim that, if an agent S knows P, recognizes that P implies Q, and believes Q because it is implied by P, then S knows Q. Closure is a pivotal epistemological principle that is widely endorsed by contemporary epistemologists. Against Knowledge Closure is the first book-length treatment of the issue and the most sustained argument for closure failure to date. Unlike most prior arguments for closure failure, Marc Alspector-Kelly's critique of closure does not presuppose any particular (...)
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  24. Knowledge Exclusion and the Rationality of Belief.Sean Donahue - 2019 - Analysis 79 (3):402-410.
    Two epistemic principles are Knowledge Exclusion and Belief Exclusion. Knowledge Exclusion says that it is necessarily the case that if an agent knows that p, then she does not believe that ∼p, and Belief Exclusion says that it is necessarily the case that if an agent believes that q, then she does not believe that ∼q. Many epistemologists find it reasonable to reject the latter principle and accept the former. I argue that this is in fact not reasonable by proposing (...)
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  25. Closure, Credence and Rationality: A Problem for Non-Belief Hinge Epistemology.Matt Jope - 2019 - Synthese: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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  26. My Ordinary Anti-Sceptical Beliefs Are Not Insensitive.Changsheng Lai - 2019 - Frontiers of Philosophy in China 14 (3):469-489.
    An orthodox sceptical hypothesis claims that one’s belief that “I am not a brain-in-a-vat (BIV)” (or any other ordinary anti-sceptical belief) is insensitive. A form of sensitivity-based scepticism, can thus be constructed by combining this orthodox hypothesis with the sensitivity principle and the closure principle. Unlike traditional solutions to the sensitivity-based sceptical problem, this paper will propose a new solution—one which does not reject either closure or sensitivity. Instead, I argue that sceptics’ assumption that one’s ordinary anti-sceptical beliefs are insensitive (...)
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  27. 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.
  28. 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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  29. No Justificatory Closure Without Truth.Francesco Praolini - 2019 - Australasian Journal of Philosophy 97 (4):715-726.
    It is well-known that versions of the lottery paradox and of the preface paradox show that the following three principles are jointly inconsistent: (Sufficiency) very probable propositions are justifiably believable; (Conjunction Closure) justified believability is closed under conjunction introduction; (No Contradictions) propositions known to be contradictory are not justifiably believable. This paper shows that there is a hybrid of the lottery and preface paradoxes that does not require Sufficiency to arise, but only Conjunction Closure and No Contradictions; and it argues (...)
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  30. 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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  31. Transparency and the KK Principle.Nilanjan Das & Bernhard Salow - 2018 - Noûs 52 (1):3-23.
    An important question in epistemology is whether the KK principle is true, i.e., whether an agent who knows that p is also thereby in a position to know that she knows that p. We explain how a “transparency” account of self-knowledge, which maintains that we learn about our attitudes towards a proposition by reflecting not on ourselves but rather on that very proposition, supports an affirmative answer. In particular, we show that such an account allows us to reconcile a version (...)
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  32. 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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  33. The Evil Demon Argument as Based on Closure Plus Meta-Coherence.Jean Guillon - 2018 - Synthese 195 (11):4703-4731.
    Descartes’s Evil Demon argument has been the subject of many reconstructions in recent analytic debates. Some have proposed a reconstruction with a principle of Infallibility, others with a principle of Closure of Knowledge, others with more original principles. In this paper, I propose a new reconstruction, which relies on the combination of two principles, namely the Meta-Coherence principle and the principle of Closure of Justification. I argue that the argument construed in this way is the best interpretation of what is (...)
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  34. How to Formulate Arguments From Easy Knowledge.Alexander Jackson - 2018 - American Philosophical Quarterly 55 (4):341-356.
    Arguments from "easy knowledge" are meant to refute a class of epistemological views, including foundationalism about perceptual knowledge. I present arguments from easy knowledge in their strongest form, and explain why other formulations in the literature are inferior. I criticize two features of Stewart Cohen's presentation, namely his focus on knowing that one's faculties are reliable, and his use of a Williamson-style closure principle. Rather, the issue around easy knowledge must be understood using a notion of epistemic priority. Roger White's (...)
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  35. 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.
  36. 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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  37. 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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  38. Probability, Approximate Truth, and Truthlikeness: More Ways Out of the Preface Paradox.Gustavo Cevolani & Gerhard Schurz - 2017 - Australasian Journal of Philosophy 95 (2):209-225.
    The so-called Preface Paradox seems to show that one can rationally believe two logically incompatible propositions. We address this puzzle, relying on the notions of truthlikeness and approximate truth as studied within the post-Popperian research programme on verisimilitude. In particular, we show that adequately combining probability, approximate truth, and truthlikeness leads to an explanation of how rational belief is possible in the face of the Preface Paradox. We argue that our account is superior to other solutions of the paradox, including (...)
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  39. On Sharon and Spectre’s Argument Against Closure.Juan Comesaña - 2017 - Philosophical Studies 174 (4):1039-1046.
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  40. Question Closure to Solve the Surprise Test.Daniel Immerman - 2017 - Synthese 194 (11):4583-4596.
    This paper offers a new solution to the Surprise Test Paradox. The paradox arises thanks to an ingenious argument that seems to show that surprise tests are impossible. My solution to the paradox states that it relies on a questionable closure principle. This closure principle says that if one knows something and competently deduces something else, one knows the further thing. This principle has been endorsed by John Hawthorne and Timothy Williamson, among others, and I trace its motivation back to (...)
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  41. Epistemic Entitlement and the Leaching Problem.Aidan McGlynn - 2017 - Episteme 14 (1):89-102.
  42. 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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  43. The ‘Default View’ of Perceptual Reasons and ‘Closure-Based’ Sceptical Arguments.Genia Schönbaumsfeld - 2017 - International Journal for the Study of Skepticism 7 (2):114-135.
    _ Source: _Volume 7, Issue 2, pp 114 - 135 It is a commonly accepted assumption in contemporary epistemology that we need to find a solution to ‘closure-based’ sceptical arguments and, hence, to the ‘scepticism or closure’ dilemma. In the present paper I argue that this is mistaken, since the closure principle does not, in fact, do real sceptical work. Rather, the decisive, scepticism-friendly moves are made before the closure principle is even brought into play. If we cannot avoid the (...)
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  44. 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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  45. Risk, Doubt, and Transmission.Rachel Fraser - 2016 - Philosophical Studies 173 (10):2803-2821.
    Despite their substantial appeal, closure principles have fallen on hard times. Both anti-luck conditions on knowledge and the defeasibility of knowledge look to be in tension with natural ways of articulating single-premise closure principles. The project of this paper is to show that plausible theses in the epistemology of testimony face problems structurally identical to those faced by closure principles. First I show how Lasonen-Aarnio’s claim that there is a tension between single premise closure and anti-luck constraints on knowledge can (...)
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  46. Questions, Topics and Restricted Closure.Peter Hawke - 2016 - Philosophical Studies 173 (10):2759-2784.
    Single-premise epistemic closure is the principle that: if one is in an evidential position to know that P where P entails Q, then one is in an evidential position to know that Q. In this paper, I defend the viability of opposition to closure. A key task for such an opponent is to precisely formulate a restricted closure principle that remains true to the motivations for abandoning unrestricted closure but does not endorse particularly egregious instances of closure violation. I focus (...)
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  47. 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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  48. Safety, Closure, and the Flow of Information.Jens Kipper - 2016 - Erkenntnis 81 (5):1109-1126.
    In his earlier writings, Fred Dretske proposed an anti-skeptical strategy that is based on a rejection of the view that knowledge is closed under known entailment. This strategy is seemingly congenial with a sensitivity condition for knowledge, which is often associated with Dretske’s epistemology. However, it is not obvious how Dretske’s early account meshes with the information-theoretic view developed in Knowledge and the Flow of Information. One aim of this paper is to elucidate the connections between these accounts. First I (...)
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  49. 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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  50. 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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