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Higher-Order Evidence

In Maria Lasonen-Aarnio & Clayton Littlejohn (eds.), The Routledge Handbook of the Philosophy of Evidence. New York, NY: Routledge. pp. 176-194 (2024)

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  1. 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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  • An Accuracy Based Approach to Higher Order Evidence.Miriam Schoenfield - 2018 - Philosophy and Phenomenological Research 96 (3):690-715.
    The aim of this paper is to apply the accuracy based approach to epistemology to the case of higher order evidence: evidence that bears on the rationality of one's beliefs. I proceed in two stages. First, I show that the accuracy based framework that is standardly used to motivate rational requirements supports steadfastness—a position according to which higher order evidence should have no impact on one's doxastic attitudes towards first order propositions. The argument for this will require a generalization of (...)
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  • The Accuracy and Rationality of Imprecise Credences.Miriam Schoenfield - 2017 - Noûs 51 (4):667-685.
    It has been claimed that, in response to certain kinds of evidence, agents ought to adopt imprecise credences: doxastic states that are represented by sets of credence functions rather than single ones. In this paper I argue that, given some plausible constraints on accuracy measures, accuracy-centered epistemologists must reject the requirement to adopt imprecise credences. I then show that even the claim that imprecise credences are permitted is problematic for accuracy-centered epistemology. It follows that if imprecise credal states are permitted (...)
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  • (1 other version)Knowledge and its Limits.Timothy Williamson - 2000 - Tijdschrift Voor Filosofie 64 (1):200-201.
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  • Knowledge and Its Limits.Timothy Williamson - 2005 - Philosophy and Phenomenological Research 70 (2):452-458.
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  • (1 other version)Knowledge and Its Limits.Timothy Williamson - 2000 - Philosophy 76 (297):460-464.
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  • Stop Making Sense? On a Puzzle about Rationality.Littlejohn Clayton - 2018 - Philosophy and Phenomenological Research:257-272.
    In this paper, I present a puzzle about epistemic rationality. It seems plausible that it should be rational to believe a proposition if you have sufficient evidential support for it. It seems plausible that it rationality requires you to conform to the categorical requirements of rationality. It also seems plausible that our first-order attitudes ought to mesh with our higher-order attitudes. It seems unfortunate that we cannot accept all three claims about rationality. I will present three ways of trying to (...)
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  • Living on the Edge: Against Epistemic Permissivism.Ginger Schultheis - 2018 - Mind 127 (507):863-879.
    Epistemic Permissivists face a special problem about the relationship between our first- and higher-order attitudes. They claim that rationality often permits a range of doxastic responses to the evidence. Given plausible assumptions about the relationship between your first- and higher-order attitudes, it can't be rational to adopt a credence on the edge of that range. But Permissivism says that, for some such range, any credence in that range is rational. Permissivism, in its traditional form, cannot be right. I consider some (...)
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  • Conditionalization Does Not Maximize Expected Accuracy.Miriam Schoenfield - 2017 - Mind 126 (504):1155-1187.
    Greaves and Wallace argue that conditionalization maximizes expected accuracy. In this paper I show that their result only applies to a restricted range of cases. I then show that the update procedure that maximizes expected accuracy in general is one in which, upon learning P, we conditionalize, not on P, but on the proposition that we learned P. After proving this result, I provide further generalizations and show that much of the accuracy-first epistemology program is committed to KK-like iteration principles (...)
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  • Self-referential probability.Catrin Campbell-Moore - 2016 - Dissertation, Ludwig-Maximilians-Universität München
    This thesis focuses on expressively rich languages that can formalise talk about probability. These languages have sentences that say something about probabilities of probabilities, but also sentences that say something about the probability of themselves. For example: (π): “The probability of the sentence labelled π is not greater than 1/2.” Such sentences lead to philosophical and technical challenges; but can be useful. For example they bear a close connection to situations where ones confidence in something can affect whether it is (...)
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  • Knowledge of Our Own Beliefs.Sherrilyn Roush - 2016 - Philosophy and Phenomenological Research 93 (3):45-69.
    There is a widespread view that in order to be rational we must mostly know what we believe. In the probabilistic tradition this is defended by arguments that a person who failed to have this knowledge would be vulnerable to sure loss, or probabilistically incoherent. I argue that even gross failure to know one's own beliefs need not expose one to sure loss, and does not if we follow a generalization of the standard bridge principle between first-order and second-order beliefs. (...)
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  • 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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  • Bridging Rationality and Accuracy.Miriam Schoenfield - 2015 - Journal of Philosophy 112 (12):633-657.
    This paper is about the connection between rationality and accuracy. I show that one natural picture about how rationality and accuracy are connected emerges if we assume that rational agents are rationally omniscient. I then develop an alternative picture that allows us to relax this assumption, in order to accommodate certain views about higher order evidence.
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  • Epistemic Conservativity and Imprecise Credence.Jason Konek - forthcoming - Philosophy and Phenomenological Research.
    Unspecific evidence calls for imprecise credence. My aim is to vindicate this thought. First, I will pin down what it is that makes one's imprecise credences more or less epistemically valuable. Then I will use this account of epistemic value to delineate a class of reasonable epistemic scoring rules for imprecise credences. Finally, I will show that if we plump for one of these scoring rules as our measure of epistemic value or utility, then a popular family of decision rules (...)
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  • People with Common Priors Can Agree to Disagree.Harvey Lederman - 2015 - Review of Symbolic Logic 8 (1):11-45.
    Robert Aumann presents his Agreement Theorem as the key conditional: “if two people have the same priors and their posteriors for an event A are common knowledge, then these posteriors are equal” (Aumann, 1976, p. 1236). This paper focuses on four assumptions which are used in Aumann’s proof but are not explicit in the key conditional: (1) that agents commonly know, of some prior μ, that it is the common prior; (2) that agents commonly know that each of them updates (...)
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  • Ideal rationality and logical omniscience.Declan Smithies - 2015 - Synthese 192 (9):2769-2793.
    Does rationality require logical omniscience? Our best formal theories of rationality imply that it does, but our ordinary evaluations of rationality seem to suggest otherwise. This paper aims to resolve the tension by arguing that our ordinary evaluations of rationality are not only consistent with the thesis that rationality requires logical omniscience, but also provide a compelling rationale for accepting this thesis in the first place. This paper also defends an account of apriori justification for logical beliefs that is designed (...)
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  • A Dilemma for Calibrationism.Miriam Schoenfield - 2014 - Philosophy and Phenomenological Research 91 (2):425-455.
    The aim of this paper is to describe a problem for calibrationism: a view about higher order evidence according to which one's credences should be calibrated to one's expected degree of reliability. Calibrationism is attractive, in part, because it explains our intuitive judgments, and provides a strong motivation for certain theories about higher order evidence and peer disagreement. However, I will argue that calibrationism faces a dilemma: There are two versions of the view one might adopt. The first version, I (...)
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  • Higher‐Order Evidence and the Limits of Defeat.Maria Lasonen-Aarnio - 2014 - Philosophy and Phenomenological Research 88 (2):314-345.
    Recent authors have drawn attention to a new kind of defeating evidence commonly referred to as higher-order evidence. Such evidence works by inducing doubts that one’s doxastic state is the result of a flawed process – for instance, a process brought about by a reason-distorting drug. I argue that accommodating defeat by higher-order evidence requires a two-tiered theory of justification, and that the phenomenon gives rise to a puzzle. The puzzle is that at least in some situations involving higher-order defeaters (...)
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  • Very Improbable Knowing.Timothy Williamson - 2014 - Erkenntnis 79 (5):971-999.
    Improbable knowing is knowing something even though it is almost certain on one’s evidence at the time that one does not know that thing. Once probabilities on the agent’s evidence are introduced into epistemic logic in a very natural way, it is easy to construct models of improbable knowing, some of which have realistic interpretations, for instance concerning agents like us with limited powers of perceptual discrimination. Improbable knowing is an extreme case of failure of the KK principle, that is, (...)
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  • Unreasonable Knowledge.Maria Lasonen-Aarnio - 2010 - Philosophical Perspectives 24 (1):1-21.
    It is common orthodoxy among internalists and externalists alike that knowledge is lost or defeated in situations involving misleading evidence of a suitable kind. But making sense of defeat has seemed to present a particular challenge for those who reject an internalist justification condition on knowledge. My main aim here is to argue that externalists ought to take seriously a view on which knowledge can be retained even in the face of strong seemingly defeating evidence. As an instructive example, I (...)
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  • Disagreement and Evidential Attenuation.Maria Lasonen-Aarnio - 2013 - Noûs 47 (4):767-794.
    What sort of doxastic response is rational to learning that one disagrees with an epistemic peer who has evaluated the same evidence? I argue that even weak general recommendations run the risk of being incompatible with a pair of real epistemic phenomena, what I call evidential attenuation and evidential amplification. I focus on a popular and intuitive view of disagreement, the equal weight view. I take it to state that in cases of peer disagreement, a subject ought to end up (...)
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  • How to resolve doxastic disagreement.Peter Brössel & Anna-Maria A. Eder - 2014 - Synthese 191 (11):2359-2381.
    How should an agent revise her epistemic state in the light of doxastic disagreement? The problems associated with answering this question arise under the assumption that an agent’s epistemic state is best represented by her degree of belief function alone. We argue that for modeling cases of doxastic disagreement an agent’s epistemic state is best represented by her confirmation commitments and the evidence available to her. Finally, we argue that given this position it is possible to provide an adequate answer (...)
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  • Williamson on Gettier Cases and Epistemic Logic.Stewart Cohen & Juan Comesaña - 2013 - Inquiry: An Interdisciplinary Journal of Philosophy 56 (1):15-29.
    Timothy Williamson has fruitfully exploited formal resources to shed considerable light on the nature of knowledge. In the paper under examination, Williamson turns his attention to Gettier cases, showing how they can be motivated formally. At the same time, he disparages the kind of justification he thinks gives rise to these cases. He favors instead his own notion of justification for which Gettier cases cannot arise. We take issue both with his disparagement of the kind of justification that figures in (...)
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  • Epistemic Akrasia.Sophie Horowitz - 2013 - Noûs 48 (4):718-744.
    Many views rely on the idea that it can never be rational to have high confidence in something like, “P, but my evidence doesn’t support P.” Call this idea the “Non-Akrasia Constraint”. Just as an akratic agent acts in a way she believes she ought not act, an epistemically akratic agent believes something that she believes is unsupported by her evidence. The Non-Akrasia Constraint says that ideally rational agents will never be epistemically akratic. In a number of recent papers, the (...)
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  • A puzzle about epistemic akrasia.Daniel Greco - 2014 - Philosophical Studies 167 (2):201-219.
    In this paper I will present a puzzle about epistemic akrasia, and I will use that puzzle to motivate accepting some non-standard views about the nature of epistemological judgment. The puzzle is that while it seems obvious that epistemic akrasia must be irrational, the claim that epistemic akrasia is always irrational amounts to the claim that a certain sort of justified false belief—a justified false belief about what one ought to believe—is impossible. But justified false beliefs seem to be possible (...)
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  • Chilling out on epistemic rationality: A defense of imprecise credences.Miriam Schoenfield - 2012 - Philosophical Studies 158 (2):197-219.
    A defense of imprecise credences (and other imprecise doxastic attitudes).
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  • A defense of imprecise credences in inference and decision making1.James M. Joyce - 2010 - Philosophical Perspectives 24 (1):281-323.
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  • Subjective Probabilities Should be Sharp.Adam Elga - 2010 - Philosophers' Imprint 10.
    Many have claimed that unspecific evidence sometimes demands unsharp, indeterminate, imprecise, vague, or interval-valued probabilities. Against this, a variant of the diachronic Dutch Book argument shows that perfectly rational agents always have perfectly sharp probabilities.
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  • Logic for philosophy.Theodore Sider - 2009 - New York: Oxford University Press.
    Logic for Philosophy is an introduction to logic for students of contemporary philosophy. It is suitable both for advanced undergraduates and for beginning graduate students in philosophy. It covers (i) basic approaches to logic, including proof theory and especially model theory, (ii) extensions of standard logic that are important in philosophy, and (iii) some elementary philosophy of logic. It emphasizes breadth rather than depth. For example, it discusses modal logic and counterfactuals, but does not prove the central metalogical results for (...)
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  • Second Guessing: A Self-Help Manual.Sherrilyn Roush - 2009 - Episteme 6 (3):251-268.
    I develop a general framework with a rationality constraint that shows how coherently to represent and deal with second-order information about one's own judgmental reliability. It is a rejection of and generalization away from the typical Bayesian requirements of unconditional judgmental self-respect and perfect knowledge of one's own beliefs, and is defended by appeal to the Principal Principle. This yields consequences about maintaining unity of the self, about symmetries and asymmetries between the first- and third-person, and a principled way of (...)
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  • Knowledge and belief.Jaakko Hintikka - 1962 - Ithaca, N.Y.,: Cornell University Press.
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  • Distorted reflection.Rachael Briggs - 2009 - Philosophical Review 118 (1):59-85.
    Diachronic Dutch book arguments seem to support both conditionalization and Bas van Fraassen's Reflection principle. But the Reflection principle is vulnerable to numerous counterexamples. This essay addresses two questions: first, under what circumstances should an agent obey Reflection, and second, should the counterexamples to Reflection make us doubt the Dutch book for conditionalization? In response to the first question, this essay formulates a new "Qualified Reflection" principle, which states that an agent should obey Reflection only if he or she is (...)
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  • (1 other version)Epistemic permissiveness.Roger White - 2005 - Philosophical Perspectives 19 (1):445–459.
    A rational person doesn’t believe just anything. There are limits on what it is rational to believe. How wide are these limits? That’s the main question that interests me here. But a secondary question immediately arises: What factors impose these limits? A first stab is to say that one’s evidence determines what it is epistemically permissible for one to believe. Many will claim that there are further, non-evidentiary factors relevant to the epistemic rationality of belief. I will be ignoring the (...)
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  • Williamson on inexact knowledge.Anna Mahtani - 2008 - Philosophical Studies 139 (2):171 - 180.
    Timothy Williamson claims that margin for error principles govern all cases of inexact knowledge. I show that this claim is unfounded: there are cases of inexact knowledge where Williamson’s argument for margin for error principles does not go through. The problematic cases are those where the value of the relevant parameter is fixed across close cases. I explore and reject two responses to my objection, before concluding that Williamson’s account of inexact knowledge is not compelling.
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  • On the principle of total evidence.Irving John Good - 1966 - British Journal for the Philosophy of Science 17 (4):319-321.
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  • (1 other version)Reflection and disagreement.Adam Elga - 2007 - Noûs 41 (3):478–502.
    How should you take into account the opinions of an advisor? When you completely defer to the advisor's judgment, then you should treat the advisor as a guru. Roughly, that means you should believe what you expect she would believe, if supplied with your extra evidence. When the advisor is your own future self, the resulting principle amounts to a version of the Reflection Principle---a version amended to handle cases of information loss. When you count an advisor as an epistemic (...)
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  • Be modest: you're living on the edge.Kevin Dorst - 2022 - Analysis 81 (4):611-621.
    Many have claimed that whenever an investigation might provide evidence for a claim, it might also provide evidence against it. Similarly, many have claimed that your credence should never be on the edge of the range of credences that you think might be rational. Surprisingly, both of these principles imply that you cannot rationally be modest: you cannot be uncertain what the rational opinions are.
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  • Does rationality demand higher-order certainty?Mattias Skipper - 2020 - Synthese 198 (12):11561-11585.
    Should you always be certain about what you should believe? In other words, does rationality demand higher-order certainty? First answer: Yes! Higher-order uncertainty can’t be rational, since it breeds at least a mild form of epistemic akrasia. Second answer: No! Higher-order certainty can’t be rational, since it licenses a dogmatic kind of insensitivity to higher-order evidence. Which answer wins out? The first, I argue. Once we get clearer about what higher-order certainty is, a view emerges on which higher-order certainty does (...)
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  • Epistemic Self-Doubt.Sherrilyn Roush - 2017 - Stanford Encyclopedia of Philosophy.
    When we get evidence that tells us our belief-forming mechanisms may not be reliable this presents a thorny set of questions about whether and how to revise our original belief. This article analyzes aspects of the problem and a variety of approaches to its solution.
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  • Is higher-order evidence evidence?Eyal Tal - 2020 - Philosophical Studies 178 (10):3157-3175.
    Suppose we learn that we have a poor track record in forming beliefs rationally, or that a brilliant colleague thinks that we believe P irrationally. Does such input require us to revise those beliefs whose rationality is in question? When we gain information suggesting that our beliefs are irrational, we are in one of two general cases. In the first case we made no error, and our beliefs are rational. In that case the input to the contrary is misleading. In (...)
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  • The Value of Biased Information.Nilanjan Das - 2023 - British Journal for the Philosophy of Science 74 (1):25-55.
    In this article, I cast doubt on an apparent truism, namely, that if evidence is available for gathering and use at a negligible cost, then it’s always instrumentally rational for us to gather that evidence and use it for making decisions. Call this ‘value of information’ (VOI). I show that VOI conflicts with two other plausible theses. The first is the view that an agent’s evidence can entail non-trivial propositions about the external world. The second is the view that epistemic (...)
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  • Why Rational People Polarize.Kevin Dorst - 2019 - The Phenomenal World.
    I argue that several of the psychological tendencies that drive polarization could arise from purely rational mechanisms, due to the fact that some types of evidence are predictably more ambiguous than others.
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  • Defeaters as Indicators of Ignorance.Clayton Litlejohn & Julien Dutant - 2021 - In Jessica Brown & Mona Simion (eds.), Reasons, Justification, and Defeat. Oxford Oxford: Oxford University Press. pp. 223–246.
    In this paper, we propose a new theory of rationality defeat. We propose that defeaters are "indicators of ignorance", evidence that we’re not in a position to know some target proposition. When the evidence that we’re not in a position to know is sufficiently strong and the probability that we can know is too low, it is not rational to believe. We think that this account retains all the virtues of the more familiar approaches that characterise defeat in terms of (...)
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  • The Epistemic Role of Consciousness.Declan Smithies - 2019 - New York, USA: Oxford University Press.
    What is the role of consciousness in our mental lives? Declan Smithies argues here that consciousness is essential to explaining how we can acquire knowledge and justified belief about ourselves and the world around us. On this view, unconscious beings cannot form justified beliefs and so they cannot know anything at all. Consciousness is the ultimate basis of all knowledge and epistemic justification.
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  • Normative Externalism.Brian Weatherson - 2019 - Oxford, UK: Oxford University Press.
    Normative Externalism argues that it is not important that people live up to their own principles. What matters, in both ethics and epistemology, is that they live up to the correct principles: that they do the right thing, and that they believe rationally. This stance, that what matters are the correct principles, not one's own principles, has implications across ethics and epistemology. In ethics, it undermines the ideas that moral uncertainty should be treated just like factual uncertainty, that moral ignorance (...)
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  • Justifications and excuses in epistemology.Daniel Greco - 2019 - Noûs 55 (3):517-537.
    While epistemologists have long debated what it takes for beliefs to be justified, they've devoted much less collective attention to the question of what it takes for beliefs to be excused, and how excuses differ from justifications. This stands in contrast to the state of affairs in legal scholarship, where the contrast between justifications and excuses is a standard topic in introductory criminal law textbooks. My goal in this paper is to extract some lessons from legal theory for epistemologists seeking (...)
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  • Should we be dogmatically conciliatory?Clayton Littlejohn - 2020 - Philosophical Studies 177 (5):1381-1398.
    A familiar complaint about conciliatory approaches to disagreement is that they are self-defeating or incoherent because they ‘call for their own rejection’. This complaint seems to be influential but it isn’t clear whether conciliatory views call for their own rejection or what, if anything, this tells us about the coherence of such views. We shall look at two ways of developing this self-defeat objection and we shall see that conciliatory views emerge unscathed. A simple version of the self-defeat objection leaves (...)
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  • Abominable KK Failures.Kevin Dorst - 2019 - Mind 128 (512):1227-1259.
    KK is the thesis that if you can know p, you can know that you can know p. Though it’s unpopular, a flurry of considerations has recently emerged in its favour. Here we add fuel to the fire: standard resources allow us to show that any failure of KK will lead to the knowability and assertability of abominable indicative conditionals of the form ‘If I don’t know it, p’. Such conditionals are manifestly not assertable—a fact that KK defenders can easily (...)
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  • Evidence: A Guide for the Uncertain.Kevin Dorst - 2019 - Philosophy and Phenomenological Research 100 (3):586-632.
    Assume that it is your evidence that determines what opinions you should have. I argue that since you should take peer disagreement seriously, evidence must have two features. (1) It must sometimes warrant being modest: uncertain what your evidence warrants, and (thus) uncertain whether you’re rational. (2) But it must always warrant being guided: disposed to treat your evidence as a guide. Surprisingly, it is very difficult to vindicate both (1) and (2). But diagnosing why this is so leads to (...)
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  • Higher-order uncertainty.Kevin Dorst - 2019 - In Mattias Skipper & Asbjørn Steglich-Petersen (eds.), Higher-Order Evidence: New Essays. Oxford, United Kingdom: Oxford University Press.
    You have higher-order uncertainty iff you are uncertain of what opinions you should have. I defend three claims about it. First, the higher-order evidence debate can be helpfully reframed in terms of higher-order uncertainty. The central question becomes how your first- and higher-order opinions should relate—a precise question that can be embedded within a general, tractable framework. Second, this question is nontrivial. Rational higher-order uncertainty is pervasive, and lies at the foundations of the epistemology of disagreement. Third, the answer is (...)
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