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Is Knowledge Closed Under Known Entailment? The Case Against Closure

In Matthias Steup & John Turri (eds.), Contemporary Debates in Epistemology. Chichester, West Sussex, UK: Blackwell. pp. 13-26 (2013)

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  1. 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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  • Skepticism and Objective Contexts: A Critique of DeRose.Giovanni Mion - 2013 - International Journal for the Study of Skepticism 3 (2):119-129.
    In the paper, I contrast my contextualist account of Cartesian skepticism with Keith DeRose’s account. I agree with DeRose that when the Cartesian skeptic and her opponent meet in the same context, their claims are truth-value-less. But I agree with him on the basis of different conception of context sensitivity. According to DeRose, the content of context sensitive expressions in general, and of knowledge in particular, is personally indicated. Instead, for me, the content of context sensitive expressions in general, and (...)
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  • Dretske on Self-Knowledge and Contrastive Focus: How to Understand Dretske’s Theory, and Why It Matters.Michael Roche & William Roche - 2017 - Erkenntnis 82 (5):975-992.
    Dretske’s theory of self-knowledge is interesting but peculiar and can seem implausible. He denies that we can know by introspection that we have thoughts, feelings, and experiences. But he allows that we can know by introspection what we think, feel, and experience. We consider two puzzles. The first puzzle, PUZZLE 1, is interpretive. Is there a way of understanding Dretske’s theory on which the knowledge affirmed by its positive side is different than the knowledge denied by its negative side? The (...)
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  • The Contingent Unknowability of Facts and its Relation with Informal, Epistemological Contexts.Stanley Kreiter Bezerra Medeiros - 2017 - Principia: An International Journal of Epistemology 21 (1):61-76.
    This paper focuses on elements that are involved in a specific type of judgment, namely, those involving facts that, in virtue of contingent reasons, are out of our epistemic reach. Its goal is to propose a philosophical explanation about why we, in informal contexts, take some facts as contingently unknowable. In order to accomplish that goal, we develop a theory that defines contingently unknowable facts in a very specific way. We establish three clauses that are jointly necessary and sufficient — (...)
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  • Contextualism in Epistemology.Robin McKenna - 2015 - Analysis 75 (3):489-503.
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  • Two skeptical arguments or only one?Kevin McCain - 2013 - Philosophical Studies 164 (2):289-300.
    The first step in responding to the challenge of external world skepticism is to get clear on the structure of the skeptic’s argument. The most prominent varieties of skeptical arguments either rely on closure principles or underdetermination principles. The relationship between these two sorts of arguments is contentious. Some argue that these arguments can independently motivate skepticism. Others argue that they are really equivalent. I argue that although these two arguments are distinct, their independence is not as obvious as some (...)
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  • Is knowledge closed under known entailment? The strange case of Hawthorne's "heavyweight conjunct".Mark Mcbride - 2009 - Theoria 75 (2):117-128.
    Take the following principle (or schema) as the focus of the ensuing discussion (“P” and “Q” are placeholders for propositions): 1 (Closure) If one knows P and competently deduces Q from P, thereby coming to believe Q, while retaining one's knowledge that P, one comes to know that Q. My strategy in outline: first, I want to set out Fred Dretske's classic challenge to (Closure) – a challenge which began in 1970–1971. Then I want to consider a specific, recent counter‐challenge (...)
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  • The Easy Argument.Steven Luper - 2007 - Acta Analytica 22 (4):321 - 331.
    Suppose Ted is in an ordinary house in good viewing conditions and believes red, his table is red, entirely because he sees his table and its color; he also believes not-white, it is false that his table is white and illuminated by a red light, because not-white is entailed by red. The following three claims about this table case clash, but each seems plausible: 1. Ted’s epistemic position is strong enough for him to know red. 2. Ted cannot know not-white (...)
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  • 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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  • Closure Provides No Relief from the Problem of Easy Knowledge.Matthew Lockard - 2014 - Erkenntnis 79 (2):461-469.
    Closure principles loom large in recent internalist critiques of epistemic externalism. Cohen (Philos Phenomenol Res 65:309–329, 2002, Philos Phenomenol Res 70:417–430, 2005), Vogel (J Philos 97:602–623, 2000), and Fumerton (Meta-Epistemology and skepticism. Rowman and Littlefield, Lanham, 1995) argue that, given closure, epistemic externalism is committed to the possibility of implausibly easy knowledge. By contrast, Zalabardo (Philos Rev 114:33–61, 2005) proposes that epistemic closure actually precludes the possibility of easy knowledge, and appeals to closure principles to solve the problem of easy (...)
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  • Argument Williamsona przeciwko KK-tezie.Grzegorz Lisowski - 2017 - Diametros 52:81-95.
    The KK-principle can be defined as follows: “For any subject x : if x knows that p, then she is always in a position to know that she knows that p ”. This principle has been widely accepted in the history of philosophy. However, in contemporary epistemology it is considered controversial and regarded as an important part of the debate concerning the nature of knowledge. One of the arguments against the KK-principle has been presented by Timothy Williamson and it involves (...)
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  • Single premise deduction and risk.Maria Lasonen-Aarnio - 2008 - Philosophical Studies 141 (2):157 - 173.
    It is tempting to think that multi premise closure creates a special class of paradoxes having to do with the accumulation of risks, and that these paradoxes could be escaped by rejecting the principle, while still retaining single premise closure. I argue that single premise deduction is also susceptible to risks. I show that what I take to be the strongest argument for rejecting multi premise closure is also an argument for rejecting single premise closure. Because of the symmetry between (...)
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  • Closure principles.Jonathan L. Kvanvig - 2006 - Philosophy Compass 1 (3):256–267.
    A dispute in epistemology has arisen over whether some class of things epistemic (things known or justified, for example) is closed under some operation involving the notion of what follows deductively from members of this class. Very few philosophers these days believe that if you know that p, and p entails q, then you know that q. But many philosophers think that something weaker holds, for instance that if you know that p, and p entails q, then you are in (...)
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  • 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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  • Common sense as evidence: Against revisionary ontology and skepticism.Thomas Kelly - 2008 - Midwest Studies in Philosophy 32 (1):53-78.
    In this age of post-Moorean modesty, many of us are inclined to doubt that philosophy is in possession of arguments that might genuinely serve to undermine what we ordinarily believe. It may perhaps be conceded that the arguments of the skeptic appear to be utterly compelling; but the Mooreans among us will hold that the very plausibility of our ordinary beliefs is reason enough for supposing that there must be something wrong in the skeptic’s arguments, even if we are unable (...)
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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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  • Closure of A Priori Knowability Under A Priori Knowable Material Implication.Jan Heylen - 2015 - Erkenntnis 80 (2):359-380.
    The topic of this article is the closure of a priori knowability under a priori knowable material implication: if a material conditional is a priori knowable and if the antecedent is a priori knowable, then the consequent is a priori knowable as well. This principle is arguably correct under certain conditions, but there is at least one counterexample when completely unrestricted. To deal with this, Anderson proposes to restrict the closure principle to necessary truths and Horsten suggests to restrict it (...)
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  • Skeptical challenges and knowing actions.Stephen Hetherington - 2013 - Philosophical Issues 23 (1):18-39.
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  • Amodal completion and knowledge.Grace Helton & Bence Nanay - 2019 - Analysis 79 (3):415-423.
    Amodal completion is the representation of occluded parts of perceived objects. We argue for the following three claims: First, at least some amodal completion-involved experiences can ground knowledge about the occluded portions of perceived objects. Second, at least some instances of amodal completion-grounded knowledge are not sensitive, that is, it is not the case that in the nearest worlds in which the relevant claim is false, that claim is not believed true. Third, at least some instances of amodal completion-grounded knowledge (...)
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  • Dretske & McDowell on perceptual knowledge, conclusive reasons, and epistemological disjunctivism.Peter J. Graham & Nikolaj J. L. L. Pedersen - 2020 - Philosophical Issues 30 (1):148-166.
    If you want to understand McDowell's spatial metaphors when he talks about perceptual knowledge, place him side-by-side with Dretske on perceptual knowledge. Though McDowell shows no evidence of reading Dretske's writings on knowledge from the late 1960s onwards (McDowell mentions "Epistemic Operators" once in passing), McDowell gives the same four arguments as Dretske for the conclusion that knowledge requires "conclusive" reasons that rule of the possibility of mistake. Despite various differences, we think it is best to read McDowell as re-discovering (...)
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  • An Ecumenical Mooreanism.Jonathan Fuqua - 2021 - Philosophia 49 (5):2019-2040.
    The purpose of this paper is to get clear on how we should think about Mooreanism. I will argue that Mooreanism is best understood as a metaphilosophical response to skepticism rather than a particular position on specialized debates in first-order epistemology. This ecumenical understanding of Mooreanism implies that a broad array of epistemologists is free to be Moorean. In Sect. 2 I discuss several non-Moorean responses to skepticism. In Sect. 3 I provide an exposition of Mooreanism itself. In Sect. 4 (...)
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  • Counter-Closure.Federico Luzzi - 2010 - Australasian Journal of Philosophy 88 (4):673-683.
    The focus of this paper is the prima facie plausible view, expressed by the principle of Counter-Closure, that knowledge-yielding competent deductive inference must issue from known premises. I construct a case that arguably falsifies this principle and consider five available lines of response that might help retain Counter-Closure. I argue that three are problematic. Of the two remaining lines of response, the first relies on non-universal intuitions and forces one to view the case I construct as exhibiting a justified, true (...)
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  • Knowledge is closed under analytic content.Samuel Z. Elgin - 2021 - Synthese 199 (1-2):5339-5353.
    I am concerned with epistemic closure—the phenomenon in which some knowledge requires other knowledge. In particular, I defend a version of the closure principle in terms of analyticity; if an agent S knows that p is true and that q is an analytic part of p, then S knows that q. After targeting the relevant notion of analyticity, I argue that this principle accommodates intuitive cases and possesses the theoretical resources to avoid the preface paradox.
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  • Experience and Reason.Fabian Dorsch - 2011 - Rero Doc.
    This collection brings together a selection of my recently published or forthcoming articles. What unites them is their common concern with one of the central ambitions of philosophy, namely to get clearer about our first-personal perspective onto the world and our minds. Three aspects of that perspective are of particular importance: consciousness, intentionality, and rationality. The collected essays address metaphysical and epistemological questions both concerning the nature of each of these aspects and concerning the various connections among them. More generally, (...)
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  • The Discrimination Argument Revisited.Simon Dierig - 2010 - Erkenntnis 72 (1):73-92.
    The first explicit argument for the incompatibility of externalism in the philosophy of mind and a priori self-knowledge is Boghossian’s discrimination argument. In this essay, I oppose the third premise of this argument, trying to show by means of a thought experiment that possessing the “twater thought” is not an alternative, a fortiori not a relevant alternative, to having the “water thought.” I then examine a modified version of Boghossian’s argument. The attempt is made to substantiate the claim that the (...)
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  • 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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  • Extended Rationality: A Hinge Epistemology.Annalisa Coliva - 2015 - London, England: Palgrave-Macmillan.
    Extended Rationality: A Hinge Epistemology provides a novel account of the structure of epistemic justification. Its central claim builds upon Wittgenstein's idea in On Certainty that epistemic justifications hinge on some basic assumptions and that epistemic rationality extends to these very hinges. It exploits these ideas to address major problems in epistemology, such as the nature of perceptual justifications, external world skepticism, epistemic relativism, the epistemic status of basic logical laws, of the Principle of the Uniformity of Nature, of our (...)
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  • Justification logic.Sergei Artemov - forthcoming - Stanford Encyclopedia of Philosophy.
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  • Skepticism and Information.Eric T. Kerr & Duncan Pritchard - 2012 - In Hilmi Demir (ed.), Philosophy of Engineering and Technology Volume 8. Springer.
    Philosophers of information, according to Luciano Floridi (The philosophy of information. Oxford University Press, Oxford, 2010, p 32), study how information should be “adequately created, processed, managed, and used.” A small number of epistemologists have employed the concept of information as a cornerstone of their theoretical framework. How this concept can be used to make sense of seemingly intractable epistemological problems, however, has not been widely explored. This paper examines Fred Dretske’s information-based epistemology, in particular his response to radical epistemological (...)
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  • The Rational Significance of Desire.Avery Archer - 2013 - Dissertation, Columbia University
    My dissertation addresses the question "do desires provide reasons?" I present two independent lines of argument in support of the conclusion that they do not. The first line of argument emerges from the way I circumscribe the concept of a desire. Complications aside, I conceive of a desire as a member of a family of attitudes that have imperative content, understood as content that displays doability-conditions rather than truth-conditions. Moreover, I hold that an attitude may provide reasons only if it (...)
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  • Knowledge for Nothing.Patrick Michael Greenough - 2018 - In Peter Graham & Nikolaj Pedersen (eds.), New Essays on Entitlement. Oxford University Press.
    Let Entitlement Epistemology be the theory of knowledge which says that entitlement—a special kind of unearned warrant to accept or believe—can help us successfully address a range of sceptical arguments. Prominent versions of this theory urge that epistemology should not be concerned with knowledge (and similar externalist states) but rather with justification, warrant, and entitlement (at least insofar as these are conceived of as internalist states). Knowledge does not come first, half-way, or even last in epistemological theorising—rather, it ought to (...)
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  • Knowledge is Closed Under Analytic Content.Samuel Elgin - manuscript
    I am concerned with epistemic closure—the phenomenon in which some knowledge requires other knowledge. In particular, I defend a version of the closure principle in terms of analyticity; if an agent S knows that p is true, then S knows that all analytic parts of p are true as well. After targeting the relevant notion of analyticity, I argue that this principle accommodates intuitive cases and possesses the theoretical resources to avoid the preface paradox. I close by arguing that contextualists (...)
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