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Reason and the grain of belief

Noûs 42 (1):139–165 (2008)

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  1. Inquiry and Belief.Jane Friedman - 2017 - Noûs 53 (2):296-315.
    In this paper I look at belief and degrees of belief through the lens of inquiry. I argue that belief and degrees of belief play different roles in inquiry. In particular I argue that belief is a “settling” attitude in a way that degrees of belief are not. Along the way I say more about what inquiring amounts to, argue for a central norm of inquiry connecting inquiry and belief and say more about just what it means to have an (...)
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  • Inquiry and Confirmation.Arianna Falbo - 2021 - Analysis 81 (4):622–631.
    A puzzle arises when combining two individually plausible, yet jointly incompatible, norms of inquiry. On the one hand, it seems that one shouldn’t inquire into a question while believing an answer to that question. But, on the other hand, it seems rational to inquire into a question while believing its answer, if one is seeking confirmation. Millson (2021), who has recently identified this puzzle, suggests a possible solution, though he notes that it comes with significant costs. I offer an alternative (...)
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  • Imprecise Probability and Higher Order Vagueness.Susanne Rinard - 2017 - Res Philosophica 94 (2):257-273.
    There is a trade-off between specificity and accuracy in existing models of belief. Descriptions of agents in the tripartite model, which recognizes only three doxastic attitudes—belief, disbelief, and suspension of judgment—are typically accurate, but not sufficiently specific. The orthodox Bayesian model, which requires real-valued credences, is perfectly specific, but often inaccurate: we often lack precise credences. I argue, first, that a popular attempt to fix the Bayesian model by using sets of functions is also inaccurate, since it requires us to (...)
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  • When warrant transmits and when it doesn’t: towards a general framework.Luca Moretti & Tommaso Piazza - 2013 - Synthese 190 (13):2481-2503.
    In this paper we focus on transmission and failure of transmission of warrant. We identify three individually necessary and jointly sufficient conditions for transmission of warrant, and we show that their satisfaction grounds a number of interesting epistemic phenomena that have not been sufficiently appreciated in the literature. We then scrutinise Wright’s analysis of transmission failure and improve on extant readings of it. Nonetheless, we present a Bayesian counterexample that shows that Wright’s analysis is partially incoherent with our analysis of (...)
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  • How to Read a Representor.Edward Elliott - forthcoming - Ergo.
    Imprecise probabilities are often modelled with representors, or sets of probability functions. In the recent literature, two ways of interpreting representors have emerged as especially prominent: vagueness interpretations, according to which each probability function in the set represents how the agent's beliefs would be if any vagueness were precisified away; and comparativist interpretations, according to which the set represents those comparative confidence relations that are common to all probability functions therein. I argue that these interpretations have some important limitations. I (...)
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  • A Disjunctive Argument Against Conjoining Belief Impermissivism and Credal Impermissivism.Mark Satta - 2022 - Erkenntnis 89 (2):625-640.
    In this paper, I offer reasons to conclude that either belief impermissivism or credal impermissivism is false. That is to say, I argue against the conjunction of belief impermissivism and credal impermissivism. I defend this conclusion in three ways. First, I show what I take to be an implausible consequence of holding that for any rational credence in p, there is only one correlating rational belief-attitude toward p, given a body of evidence. Second, I provide thought experiments designed to support (...)
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  • Consequence and Normative Guidance.Florian Steinberger - 2017 - Philosophy and Phenomenological Research 98 (2):306-328.
    Logic, the tradition has it, is normative for reasoning. But is that really so? And if so, in what sense is logic normative for reasoning? As Gilbert Harman has reminded us, devising a logic and devising a theory of reasoning are two separate enterprises. Hence, logic's normative authority cannot reside in the fact that principles of logic just are norms of reasoning. Once we cease to identify the two, we are left with a gap. To bridge the gap one would (...)
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  • Preface Writers are Consistent.Roger Clarke - 2017 - Pacific Philosophical Quarterly 98 (3):362-381.
    The preface paradox does not show that it can be rational to have inconsistent beliefs, because preface writers do not have inconsistent beliefs. I argue, first, that a fully satisfactory solution to the preface paradox would have it that the preface writer's beliefs are consistent. The case here is on basic intuitive grounds, not the consequence of a theory of rationality or of belief. Second, I point out that there is an independently motivated theory of belief – sensitivism – which (...)
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  • Philosophy of climate science part II: modelling climate change.Roman Frigg, Erica Thompson & Charlotte Werndl - 2015 - Philosophy Compass 10 (12):965-977.
    This is the second of three parts of an introduction to the philosophy of climate science. In this second part about modelling climate change, the topics of climate modelling, confirmation of climate models, the limits of climate projections, uncertainty and finally model ensembles will be discussed.
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  • Normative judgement.Scott Sturgeon - 2007 - Philosophical Perspectives 21 (1):569–587.
  • Credence and Correctness: In Defense of Credal Reductivism.Matthew Brandon Lee - 2017 - Philosophical Papers 46 (2):273-296.
    Credal reductivism is the view that outright belief is reducible to degrees of confidence or ‘credence’. The most popular versions of credal reductivism all have the consequence that if you are near-maximally confident that p in a low-stakes situation, then you outright believe p. This paper addresses a recent objection to this consequence—the Correctness Objection— introduced by Jeremy Fantl and Matthew McGrath and further developed by Jacob Ross and Mark Schroeder. The objection is that near-maximal confidence cannot entail outright belief (...)
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  • Two-state solution to the lottery paradox.Arturs Logins - 2020 - Philosophical Studies 177 (11):3465-3492.
    This paper elaborates a new solution to the lottery paradox, according to which the paradox arises only when we lump together two distinct states of being confident that p under one general label of ‘belief that p’. The two-state conjecture is defended on the basis of some recent work on gradable adjectives. The conjecture is supported by independent considerations from the impossibility of constructing the lottery paradox both for risk-tolerating states such as being afraid, hoping or hypothesizing, and for risk-averse, (...)
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  • Confidence and coarse-grained attitudes.Scott Sturgeon - 2005 - In Tamar Szabó Gendler & John Hawthorne (eds.), Oxford Studies in Epistemology. Oxford University Press. pp. 3--126.
  • On what we should believe (and when (and why) we should believe what we know we should not believe).Clayton Littlejohn - 2020 - In Kevin McCain & Scott Stapleford (eds.), Epistemic Duties: New Arguments, New Angles. Routledge.
    A theory of what we should believe should include a theory of what we should believe when we are uncertain about what we should believe and/or uncertain about the factors that determine what we should believe. In this paper, I present a novel theory of what we should believe that gives normative externalists a way of responding to a suite of objections having to do with various kinds of error, ignorance, and uncertainty. This theory is inspired by recent work in (...)
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  • The Right in the Good: A Defense of Teleological Non-Consequentialism in Epistemology.Clayton Littlejohn - 2018 - In Kristoffer Ahlstrom-Vij & Jeff Dunn (eds.), Epistemic Consequentialism. Oxford: Oxford University Press. pp. 23-47.
    There has been considerable discussion recently of consequentialist justifications of epistemic norms. In this paper, I shall argue that these justifications are not justifications. The consequentialist needs a value theory, a theory of the epistemic good. The standard theory treats accuracy as the fundamental epistemic good and assumes that it is a good that calls for promotion. Both claims are mistaken. The fundamental epistemic good involves accuracy, but it involves more than just that. The fundamental epistemic good is knowledge, not (...)
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  • Are there counterexamples to the consistency principle?Clayton Littlejohn - forthcoming - Episteme:1-18.
    Must rational thinkers have consistent sets of beliefs? I shall argue that it can be rational for a thinker to believe a set of propositions known to be inconsistent. If this is right, an important test for a theory of rational belief is that it allows for the right kinds of inconsistency. One problem we face in trying to resolve disagreements about putative rational requirements is that parties to the disagreement might be working with different conceptions of the relevant attitudes. (...)
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  • A deference model of epistemic authority.Sofia Ellinor Bokros - 2020 - Synthese 198 (12):12041-12069.
    How should we adjust our beliefs in light of the testimony of those who are in a better epistemic position than ourselves, such as experts and other epistemic superiors? In this paper, I develop and defend a deference model of epistemic authority. The paper attempts to resolve the debate between the preemption view and the total evidence view of epistemic authority by taking an accuracy-first approach to the issue of how we should respond to authoritative and expert testimony. I argue (...)
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  • Toward a Lockean Unification of Formal and Traditional Epistemology.Paul Silva Jr & Matthew Brandon Lee - 2022 - Episteme 19 (1):111-129.
    [This is a paper that was originally written in 2017 and doesn't represent Silva's current thinking about degrees of confidence, conviction, and rationality.] Can there be knowledge and rational belief in the absence of a rational degree of confidence? Yes, and cases of "mistuned knowledge" demonstrate this. In this paper we leverage this normative possibility in support of advancing our understanding of the metaphysical relation between belief and credence. It is generally assumed that a Lockean metaphysics of belief that reduces (...)
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  • Accuracy Across Doxastic Attitudes: Recent Work on the Accuracy of Belief.Robert Weston Siscoe - 2022 - American Philosophical Quarterly 59 (2):201-217.
    James Joyce's article “A Nonpragmatic Vindication of Probabilism” introduced an approach to arguing for credal norms by appealing to the epistemic value of accuracy. The central thought was that credences ought to accurately represent the world, a guiding thought that has gone on to generate an entire research paradigm on the rationality of credences. Recently, a number of epistemologists have begun to apply this same thought to full beliefs, attempting to explain and argue for norms of belief in terms of (...)
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  • The Limitations of the Open Mind.Jeremy Fantl - 2018 - Oxford, UK: Oxford University Press.
    When should you engage with difficult arguments against your cherished controversial beliefs? The primary conclusion of this book is that your obligations to engage with counterarguments are more limited than is often thought. In some standard situations, you shouldn't engage with difficult counterarguments and, if you do, you shouldn't engage with them open-mindedly. This conclusion runs counter to aspects of the Millian political tradition and political liberalism, as well as what people working in informal logic tend to say about argumentation. (...)
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  • Subjective causal networks and indeterminate suppositional credences.Jiji Zhang, Teddy Seidenfeld & Hailin Liu - 2019 - Synthese 198 (Suppl 27):6571-6597.
    This paper has two main parts. In the first part, we motivate a kind of indeterminate, suppositional credences by discussing the prospect for a subjective interpretation of a causal Bayesian network, an important tool for causal reasoning in artificial intelligence. A CBN consists of a causal graph and a collection of interventional probabilities. The subjective interpretation in question would take the causal graph in a CBN to represent the causal structure that is believed by an agent, and interventional probabilities in (...)
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  • VI-BayesianExpressivism.Seth Yalcin - 2012 - Proceedings of the Aristotelian Society 112 (2pt2):123-160.
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  • Belief, Credence, and the Preface Paradox.Alex Worsnip - 2016 - Australasian Journal of Philosophy 94 (3):549-562.
    ABSTRACTMany discussions of the ‘preface paradox’ assume that it is more troubling for deductive closure constraints on rational belief if outright belief is reducible to credence. I show that this is an error: we can generate the problem without assuming such reducibility. All that we need are some very weak normative assumptions about rational relationships between belief and credence. The only view that escapes my way of formulating the problem for the deductive closure constraint is in fact itself a reductive (...)
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  • An Argument for the Principle of Indifference and Against the Wide Interval View.John E. Wilcox - 2020 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 51 (1):65-87.
    The principle of indifference has fallen from grace in contemporary philosophy, yet some papers have recently sought to vindicate its plausibility. This paper follows suit. In it, I articulate a version of the principle and provide what appears to be a novel argument in favour of it. The argument relies on a thought experiment where, intuitively, an agent’s confidence in any particular outcome being true should decrease with the addition of outcomes to the relevant space of possible outcomes. Put simply: (...)
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  • Credence for conclusions: a brief for Jeffrey’s rule.John R. Welch - 2020 - Synthese 197 (5):2051-2072.
    Some arguments are good; others are not. How can we tell the difference? This article advances three proposals as a partial answer to this question. The proposals are keyed to arguments conditioned by different degrees of uncertainty: mild, where the argument’s premises are hedged with point-valued probabilities; moderate, where the premises are hedged with interval probabilities; and severe, where the premises are hedged with non-numeric plausibilities such as ‘very likely’ or ‘unconfirmed’. For mild uncertainty, the article proposes to apply a (...)
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  • You've Come a Long Way, Bayesians.Jonathan Weisberg - 2015 - Journal of Philosophical Logic 44 (6):817-834.
    Forty years ago, Bayesian philosophers were just catching a new wave of technical innovation, ushering in an era of scoring rules, imprecise credences, and infinitesimal probabilities. Meanwhile, down the hall, Gettier’s 1963 paper [28] was shaping a literature with little obvious interest in the formal programs of Reichenbach, Hempel, and Carnap, or their successors like Jeffrey, Levi, Skyrms, van Fraassen, and Lewis. And how Bayesians might accommodate the discourses of full belief and knowledge was but a glimmer in the eye (...)
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  • Two Facets of Belief.Bernhard Weiss - 2016 - International Journal of Philosophical Studies 24 (3):413-432.
    I begin by contrasting two facets of belief: that belief is a response to a sufficiency of evidence and that belief plays a role in one’s representation of reality. I claim that these conceptions of belief are in tension because whilst the latter – Representationalism – requires Logical Coherence of belief the former – Thresholdism – conflicts with Logical Coherence. Thus we need to choose between conceptions. Many have argued that the Preface Paradox supports Thresholdism. In contrast I argue that (...)
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  • Outright Belief.Ralph Wedgwood - 2012 - Dialectica 66 (3):309–329.
    Sometimes, we think of belief as a phenomenon that comes in degrees – that is, in the many different levels of confidence that a thinker might have in various different propositions. Sometimes, we think of belief as a simple two-place relation that holds between a thinker and a proposition – that is, as what I shall here call "outright belief".
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  • Hedged testimony.Peter van Elswyk - 2023 - Noûs 57 (2):341-369.
    Speakers offer testimony. They also hedge. This essay offers an account of how hedging makes a difference to testimony. Two components of testimony are considered: how testimony warrants a hearer's attitude, and how testimony changes a speaker's responsibilities. Starting with a norm-based approach to testimony where hearer's beliefs are prima facie warranted because of social norms and speakers acquire responsibility from these same norms, I argue that hedging alters both components simultaneously. It changes which attitudes a hearer is prima facie (...)
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  • The Stability of Belief: How Rational Belief Coheres with Probability, by Hannes Leitgeb.Michael G. Titelbaum - 2021 - Mind 130 (519):1006-1017.
    The Stability of Belief: How Rational Belief Coheres with Probability, by LeitgebHannes. Oxford: Oxford University Press, 2017. Pp. xiv + 365.
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  • The Application of Constraint Semantics to the Language of Subjective Uncertainty.Eric Swanson - 2016 - Journal of Philosophical Logic 45 (2):121-146.
    This paper develops a compositional, type-driven constraint semantic theory for a fragment of the language of subjective uncertainty. In the particular application explored here, the interpretation function of constraint semantics yields not propositions but constraints on credal states as the semantic values of declarative sentences. Constraints are richer than propositions in that constraints can straightforwardly represent assessments of the probability that the world is one way rather than another. The richness of constraints helps us model communicative acts in essentially the (...)
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  • What Else Justification Could Be1.Martin Smith - 2010 - Noûs 44 (1):10-31.
    According to a captivating picture, epistemic justification is essentially a matter of epistemic or evidential likelihood. While certain problems for this view are well known, it is motivated by a very natural thought—if justification can fall short of epistemic certainty, then what else could it possibly be? In this paper I shall develop an alternative way of thinking about epistemic justification. On this conception, the difference between justification and likelihood turns out to be akin to the more widely recognised difference (...)
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  • Respecting Evidence: Belief Functions not Imprecise Probabilities.Nicholas J. J. Smith - 2022 - Synthese 200 (475):1-30.
    The received model of degrees of belief represents them as probabilities. Over the last half century, many philosophers have been convinced that this model fails because it cannot make room for the idea that an agent’s degrees of belief should respect the available evidence. In its place they have advocated a model that represents degrees of belief using imprecise probabilities (sets of probability functions). This paper presents a model of degrees of belief based on Dempster–Shafer belief functions and then presents (...)
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  • Evidential Incomparability and the Principle of Indifference.Martin Smith - 2015 - Erkenntnis 80 (3):605-616.
    The _Principle of Indifference_ was once regarded as a linchpin of probabilistic reasoning, but has now fallen into disrepute as a result of the so-called _problem of multiple of partitions_. In ‘Evidential symmetry and mushy credence’ Roger White suggests that we have been too quick to jettison this principle and argues that the problem of multiple partitions rests on a mistake. In this paper I will criticise White’s attempt to revive POI. In so doing, I will argue that what underlies (...)
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  • Acting on belief functions.Nicholas J. J. Smith - 2023 - Theory and Decision 95 (4):575-621.
    The degrees of belief of rational agents should be guided by the evidence available to them. This paper takes as a starting point the view—argued elsewhere—that the formal model best able to capture this idea is one that represents degrees of belief using Dempster–Shafer belief functions. However degrees of belief should not only respect evidence: they also guide decision and action. Whatever formal model of degrees of belief we adopt, we need a decision theory that works with it: that takes (...)
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  • Credal accuracy and knowledge.Robert Weston Siscoe - 2022 - Synthese 200 (2).
    Traditional epistemologists assumed that the most important doxastic norms were rational requirements on belief. This orthodoxy has recently been challenged by the work of revolutionary epistemologists on the rational requirements on credences. Revolutionary epistemology takes it that such contemporary work is important precisely because traditional epistemologists are mistaken—credal norms are more fundamental than, and determinative of, belief norms. To make sense of their innovative project, many revolutionary epistemologists have also adopted another commitment, that norms on credences are governed by a (...)
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  • Sleeping beauty should be imprecise.Daniel Jeremy Singer - 2014 - Synthese 191 (14):3159-3172.
    The traditional solutions to the Sleeping Beauty problem say that Beauty should have either a sharp 1/3 or sharp 1/2 credence that the coin flip was heads when she wakes. But Beauty’s evidence is incomplete so that it doesn’t warrant a precise credence, I claim. Instead, Beauty ought to have a properly imprecise credence when she wakes. In particular, her representor ought to assign \(R(H\!eads)=[0,1/2]\) . I show, perhaps surprisingly, that this solution can account for the many of the intuitions (...)
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  • The Beliefs and Intentions of Buridan's Ass.Nathaniel Sharadin & Finnur Dellsén - 2017 - Journal of the American Philosophical Association 3 (2):209-226.
    The moral of Buridan's Ass is that it can sometimes be rational to perform one action rather than another even though one lacks stronger reason to do so. Yet it is also commonly believed that it cannot ever be rational to believe one proposition rather than another if one lacks stronger reason to do so. This asymmetry has been taken to indicate a deep difference between epistemic and practical rationality. According to the view articulated here, the asymmetry should instead be (...)
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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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  • A Puzzle About Ineffable Propositions.Agustín Rayo - 2011 - Australasian Journal of Philosophy 89 (2):289 - 295.
    I will argue for localism about credal assignments: the view that credal assignments are well-defined only relative to suitably constrained sets of possibilities. I will motivate the position by suggesting that it is the best way of addressing a puzzle devised by Roger White.
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  • Kierkegaard on Belief and Credence.Z. Quanbeck - forthcoming - European Journal of Philosophy.
    Kierkegaard’s pseudonym Johannes Climacus famously defines faith as a risky “venture” that requires “holding fast” to “objective uncertainty.” Yet puzzlingly, he emphasizes that faith requires resolute conviction and certainty. Moreover, Climacus claims that all beliefs about contingent propositions about the external world “exclude doubt” and “nullify uncertainty,” but also that uncertainty is “continually present” in these very same beliefs. This paper argues that these apparent contradictions can be resolved by interpreting Climacus as a belief-credence dualist. That is, Climacus holds that (...)
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  • Veritistic Teleological Epistemology, the Bad Lot, and Epistemic Risk Consistency.Raimund Pils - forthcoming - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie:1-21.
    This paper connects veritistic teleological epistemology, VTE, with the epistemological dimension of the scientific realism debate. VTE sees our epistemic activities as a tradeoff between believing truths and avoiding error. I argue that van Fraassen’s epistemology is not suited to give a justification for a crucial presupposition of his Bad Lot objection to inference to the best explanation (IBE), the presupposition that believing that p is linked to p being more likely to be true. This makes him vulnerable to a (...)
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  • What does decision theory have to do with wanting?Milo Phillips-Brown - 2021 - Mind 130 (518):413-437.
    Decision theory and folk psychology both purport to represent the same phenomena: our belief-like and desire- and preference-like states. They also purport to do the same work with these representations: explain and predict our actions. But they do so with different sets of concepts. There's much at stake in whether one of these two sets of concepts can be accounted for with the other. Without such an account, we'd have two competing representations and systems of prediction and explanation, a dubious (...)
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  • Demystifying Dilation.Arthur Paul Pedersen & Gregory Wheeler - 2014 - Erkenntnis 79 (6):1305-1342.
    Dilation occurs when an interval probability estimate of some event E is properly included in the interval probability estimate of E conditional on every event F of some partition, which means that one’s initial estimate of E becomes less precise no matter how an experiment turns out. Critics maintain that dilation is a pathological feature of imprecise probability models, while others have thought the problem is with Bayesian updating. However, two points are often overlooked: (1) knowing that E is stochastically (...)
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  • Bayesian Models, Delusional Beliefs, and Epistemic Possibilities.Matthew Parrott - 2016 - British Journal for the Philosophy of Science 67 (1):271-296.
    The Capgras delusion is a condition in which a person believes that an imposter has replaced some close friend or relative. Recent theorists have appealed to Bayesianism to help explain both why a subject with the Capgras delusion adopts this delusional belief and why it persists despite counter-evidence. The Bayesian approach is useful for addressing these questions; however, the main proposal of this essay is that Capgras subjects also have a delusional conception of epistemic possibility, more specifically, they think more (...)
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  • Inquiry and the doxastic attitudes.Michele Palmira - 2020 - Synthese 197 (11):4947-4973.
    In this paper I take up the question of the nature of the doxastic attitudes we entertain while inquiring into some matter. Relying on a distinction between two stages of open inquiry, I urge to acknowledge the existence of a distinctive attitude of cognitive inclination towards a proposition qua answer to the question one is inquiring into. I call this attitude “hypothesis”. Hypothesis, I argue, is a sui generis doxastic attitude which differs, both functionally and normatively, from suspended judgement, full (...)
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  • Justificação, Probabilidade e Independência.André Neiva & Tatiane Marks - 2019 - Principia: An International Journal of Epistemology 23 (2):207-230.
    Epistemic justification has been widely accepted as both a gradational and relational notion. Given those properties, a natural thought is to take degrees of epistemic justification to be probabilities. In this paper, we present a simple Bayesian framework for justification. In the first part, after putting the model in an evidentialist form, we distinguish different senses of “being evidence for” and “confirming”. Next, we argue that this conception should accommodate the two relevant kinds of qualitative confirmation or evidential support. In (...)
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  • Must Good Reasoning Satisfy Cumulative Transitivity?Shyam Nair - 2017 - Philosophy and Phenomenological Research 98 (1):123-146.
    There is consensus among computer scientists, logicians, and philosophers that good reasoning with qualitative beliefs must have the structural property of cumulative transitivity or, for short, cut. This consensus is typically explicitly argued for partially on the basis of practical and mathematical considerations. But the consensus is also implicit in the approach philosophers take to almost every puzzle about reasoning that involves multiple steps: philosophers typically assume that if each step in reasoning is acceptable considered on its own, the whole (...)
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  • Credence: A Belief-First Approach.Andrew Moon & Elizabeth Jackson - 2020 - Canadian Journal of Philosophy 50 (5):652–669.
    This paper explains and defends a belief-first view of the relationship between belief and credence. On this view, credences are a species of beliefs, and the degree of credence is determined by the content of what is believed. We begin by developing what we take to be the most plausible belief-first view. Then, we offer several arguments for it. Finally, we show how it can resist objections that have been raised to belief-first views. We conclude that the belief-first view is (...)
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  • A new puzzle about belief and credence.Andrew Moon - 2019 - Canadian Journal of Philosophy 49 (2):272-291.
    I present a puzzle about belief and credence, which takes the form of three independently supported views that are mutually inconsistent. The first is the view that S has a modal belief that p (e.g., S believes that probably-p) if and only if S has a corresponding credence that p. The second is the view that S believes that p only if S has some credence that p. The third is the view that, possibly, S believes that p without a (...)
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