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  1. Toward an Ethics of AI Belief.Winnie Ma & Vincent Valton - 2024 - Philosophy and Technology 37 (3):1-28.
    In this paper we, an epistemologist and a machine learning scientist, argue that we need to pursue a novel area of philosophical research in AI – the ethics of belief for AI. Here we take the ethics of belief to refer to a field at the intersection of epistemology and ethics concerned with possible moral, practical, and other non-truth-related dimensions of belief. In this paper we will primarily be concerned with the normative question within the ethics of belief regarding what (...)
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  • Non-Ideal Decision Theory.Sven Neth - 2023 - Dissertation, University of California, Berkeley
    My dissertation is about Bayesian rationality for non-ideal agents. I show how to derive subjective probabilities from preferences using much weaker rationality assumptions than other standard representation theorems. I argue that non-ideal agents might be uncertain about how they will update on new information and consider two consequences of this uncertainty: such agents should sometimes reject free information and make choices which, taken together, yield sure loss. The upshot is that Bayesian rationality for non-ideal agents makes very different normative demands (...)
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  • The Epistemic and the Deontic Preface Paradox.Lina Maria Lissia & Jan Sprenger - forthcoming - Philosophical Quarterly.
    This paper generalizes the preface paradox beyond the conjunctive aggregation of beliefs and constructs an analogous paradox for deontic reasoning. The analysis of the deontic case suggests a systematic restriction of intuitive rules for reasoning with obligations. This proposal can be transferred to the epistemic case: it avoids the preface and the lottery paradox and saves one of the two directions of the Lockean Thesis (i.e., high credence is sufficient, but not necessary for rational belief). The resulting account compares favorably (...)
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  • Body Checking in Anorexia Nervosa: from Inquiry to Habit.Asbjørn Steglich-Petersen & Somogy Varga - 2024 - Review of Philosophy and Psychology 15 (3):705-722.
    Body checking, characterized by the repeated visual or physical inspection of particular parts of one’s own body (e.g. thighs, waist, or upper arms) is one of the most prominent behaviors associated with eating disorders, particularly Anorexia Nervosa (AN). In this paper, we explore the explanatory potential of the Recalcitrant Fear Model of AN (RFM) in relation to body checking. We argue that RFM, when combined with certain plausible auxiliary hypotheses about the cognitive and epistemic roles of emotions, is able to (...)
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  • Belief: What is it Good for?John MacFarlane - forthcoming - Erkenntnis:1-18.
    Abstract“Absolutely nothing,” say the radical Bayesians. “Simplifying decisions,” say the moderates. “Providing premises in practical reasoning,” say the epistemologists. “Coordinating with others,” say I. It is hard to see how to construct an adequate theory of rational behavior without using a graded notion of belief, such as credence. But once we have credence, what role is left for belief? After surveying some answers to this question, I will explore the idea that belief is in a different line of work altogether. (...)
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  • Justification and gradability.Davide Fassio & Artūrs Logins - 2023 - Philosophical Studies 180 (7):2051-2077.
    Recently some epistemologists have approached the question whether epistemic justification comes in degrees from a linguistic perspective. Drawing insights from linguistic analyses of gradable adjectives, they investigate whether epistemic occurrences of ‘justified’ are gradable and if yes what type of gradability they involve. These authors conclude that the adjective passes standard tests for gradability, but they classify it as belonging to different categories: as either an absolute or a relative gradable adjective. The aim of this paper is to further clarify (...)
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  • A Causal Safety Criterion for Knowledge.Jonathan Vandenburgh - 2024 - Erkenntnis 89 (8):3287-3307.
    Safety purports to explain why cases of accidentally true belief are not knowledge, addressing Gettier cases and cases of belief based on statistical evidence. However, problems arise for using safety as a condition on knowledge: safety is not necessary for knowledge and cannot always explain the Gettier cases and cases of statistical evidence it is meant to address. In this paper, I argue for a new modal condition designed to capture the non-accidental relationship between facts and evidence required for knowledge: (...)
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  • Knowledge and Prizes.Clayton Littlejohn & Julien Dutant - forthcoming - In Artūrs Logins & Jacques Henri Vollet (eds.), Putting Knowledge to Work: New Directions for Knowledge-First Epistemology. Oxford: Oxford University Press.
    We examine two leading theories of rational belief, the Lockean view and the explanationist view. The first is appealing because it fits with some independently plausible claims about the ways that rational persons pursue their aims. The second is appealing because it seems to account for intuitions that cause trouble for the Lockean view. While fitting the intuitive data is desirable, we are troubled that the explanationist view seems to clash with our theoretical beliefs about what rationality must be like. (...)
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  • What is Rational Belief?Clayton Littlejohn & Julien Dutant - 2024 - Noûs 58 (2):333-359.
    A theory of rational belief should get the cases right. It should also reach its verdicts using the right theoretical assumptions. Leading theories seem to predict the wrong things. With only one exception, they don't accommodate principles that we should use to explain these verdicts. We offer a theory of rational belief that combines an attractive picture of epistemic desirability with plausible principles connecting desirability to rationality. On our view, it's rational to believe when it's sufficiently likely that you'd know (...)
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  • The Uniqueness Thesis: A Hybrid Approach.Tamaz Tokhadze - 2022 - Dissertation, University of Sussex
    This dissertation proposes and defends a hybrid view I call Hybrid Impermissivism, which combines the following two theses: Moderate Uniqueness and Credal Permissivism. Moderate Uniqueness says that no evidence could justify both believing a proposition and its negation. However, on Moderate Uniqueness, evidence could justify both believing and suspending judgement on a proposition (hence the adjective “Moderate”). And Credal Permissivism says that more than one credal attitude could be justified on the evidence. Hybrid Impermissisim is developed into a precise theory (...)
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  • Epistemic Sanity or Why You Shouldn't be Opinionated or Skeptical.Danilo Fraga Dantas - 2022 - Episteme 20 (3):647-666.
    I propose the notion of ‘epistemic sanity’, a property of parsimony between the holding of true but not false beliefs and the consideration of our cognitive limitations. Where ‘alethic value’ is the epistemic value of holding true but not false beliefs, the ‘alethic potential’ of an agent is the amount of extra alethic value that she is expected to achieve, given her current environment, beliefs, and reasoning skills. Epistemic sanity would be related to the holding of (true or false) beliefs (...)
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  • Credence and belief.Ram Neta - 2022 - Philosophical Studies 180 (2):429-438.
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  • Hybrid Impermissivism and the Diachronic Coordination Problem.Tamaz Tokhadze - 2021 - Philosophical Topics 49 (2):267-285.
    Uniqueness is the view that a body of evidence justifies a unique doxastic attitude toward any given proposition. Contemporary defenses and criticisms of Uniqueness are generally indifferent to whether we formulate the view in terms of the coarse-grained attitude of belief or the fine-grained attitude of credence. This paper articulates and discusses a hybrid view I call Hybrid Impermissivism that endorses Uniqueness about belief but rejects Uniqueness about credence. While Hybrid Impermissivism is an attractive position in several respects, I show (...)
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  • Epistemology Normalized.Jeremy Goodman & Bernhard Salow - 2023 - Philosophical Review 132 (1):89-145.
    We offer a general framework for theorizing about the structure of knowledge and belief in terms of the comparative normality of situations compatible with one’s evidence. The guiding idea is that, if a possibility is sufficiently less normal than one’s actual situation, then one can know that that possibility does not obtain. This explains how people can have inductive knowledge that goes beyond what is strictly entailed by their evidence. We motivate the framework by showing how it illuminates knowledge about (...)
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  • Probability of Guilt.Mario Günther - manuscript
    In legal proceedings, a fact-finder needs to decide whether a defendant is guilty or not based on probabilistic evidence. We defend the thesis that the defendant should be found guilty just in case it is rational for the fact-finder to believe that the defendant is guilty. We draw on Leitgeb’s stability theory for an appropriate notion of rational belief and show how our thesis solves the problem of statistical evidence. Finally, we defend our account of legal proof against challenges from (...)
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  • When the (Bayesian) ideal is not ideal.Danilo Fraga Dantas - 2023 - Logos and Episteme 15 (3):271-298.
    Bayesian epistemologists support the norms of probabilism and conditionalization using Dutch book and accuracy arguments. These arguments assume that rationality requires agents to maximize practical or epistemic value in every doxastic state, which is evaluated from a subjective point of view (e.g., the agent’s expectancy of value). The accuracy arguments also presuppose that agents are opinionated. The goal of this paper is to discuss the assumptions of these arguments, including the measure of epistemic value. I have designed AI agents based (...)
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  • The Ramsey Test and Evidential Support Theory.Michał Sikorski - 2022 - Journal of Logic, Language and Information 31 (3):493-504.
    The Ramsey Test is considered to be the default test for the acceptability of indicative conditionals. I will argue that it is incompatible with some of the recent developments in conceptualizing conditionals, namely the growing empirical evidence for the _Relevance Hypothesis_. According to the hypothesis, one of the necessary conditions of acceptability for an indicative conditional is its antecedent being positively probabilistically relevant for the consequent. The source of the idea is _Evidential Support Theory_ presented in Douven (2008). I will (...)
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  • Degrees of Assertability.Sam Carter - 2022 - Philosophy and Phenomenological Research 104 (1):19-49.
    Philosophy and Phenomenological Research, Volume 104, Issue 1, Page 19-49, January 2022.
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  • Hedged testimony.Peter van Elswyk - 2022 - 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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  • Categorical versus graded beliefs.Franz Dietrich - 2022 - Frontiers in Psychology 18.
    This essay discusses the difficulty to reconcile two paradigms about beliefs: the binary or categorical paradigm of yes/no beliefs and the probabilistic paradigm of degrees of belief. The possibility for someone to hold both types of belief simultaneously is challenged by the lottery paradox, and more recently by a general impossibility theorem by Dietrich and List (2018, 2021). The nature, relevance, and implications of the tension are explained and assessed.
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  • Thinking, Guessing, and Believing.Ben Holguin - 2022 - Philosophers' Imprint 22 (1):1-34.
    This paper defends the view, put roughly, that to think that p is to guess that p is the answer to the question at hand, and that to think that p rationally is for one’s guess to that question to be in a certain sense non-arbitrary. Some theses that will be argued for along the way include: that thinking is question-sensitive and, correspondingly, that ‘thinks’ is context-sensitive; that it can be rational to think that p while having arbitrarily low credence (...)
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  • Does legal epistemology rest on a mistake? On fetishism, two‐tier system design, and conscientious fact‐finding.David Enoch, Talia Fisher & Levi Spectre - 2021 - Philosophical Issues 31 (1):85-103.
    Philosophical Issues, Volume 31, Issue 1, Page 85-103, October 2021.
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  • Resolutions Against Uniqueness.Kenji Lota & Ulf Hlobil - 2021 - Erkenntnis 88 (3):1013–1033.
    The paper presents a new argument for epistemic permissivism. The version of permissivism that we defend is a moderate version that applies only to explicit doxastic attitudes. Drawing on Yalcin’s framework for modeling such attitudes, we argue that two fully rational subjects who share all their evidence, prior beliefs, and epistemic standards may still differ in the explicit doxastic attitudes that they adopt. This can happen because two such subjects may be sensitive to different questions. Thus, differing intellectual interests can (...)
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  • A Structural Justification of Probabilism: From Partition Invariance to Subjective Probability.Hannes Leitgeb - 2021 - Philosophy of Science 88 (2):341-365.
    A new justification of probabilism is developed that pays close attention to the structure of the underlying space of possibilities. Its central assumption is that rational numerical degrees of bel...
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  • Epistemic Risk and the Demands of Rationality.Richard Pettigrew - 2022 - Oxford, UK: Oxford University Press.
    How much does rationality constrain what we should believe on the basis of our evidence? According to this book, not very much. For most people and most bodies of evidence, there is a wide range of beliefs that rationality permits them to have in response to that evidence. The argument, which takes inspiration from William James' ideas in 'The Will to Believe', proceeds from two premises. The first is a theory about the basis of epistemic rationality. It's called epistemic utility (...)
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  • How to (Blind)Spot the Truth: an investigation on actual epistemic value.Danilo Fraga Dantas - 2021 - Erkenntnis 88 (2):693-720.
    This paper is about the alethic aspect of epistemic rationality. The most common approaches to this aspect are either normative (what a reasoner ought to/may believe?) or evaluative (how rational is a reasoner?), where the evaluative approaches are usually comparative (one reasoner is assessed compared to another). These approaches often present problems with blindspots. For example, ought a reasoner to believe a currently true blindspot? Is she permitted to? Consequently, these approaches often fail in describing a situation of alethic maximality, (...)
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  • Statistical resentment, or: what’s wrong with acting, blaming, and believing on the basis of statistics alone.David Enoch & Levi Spectre - 2021 - Synthese 199 (3-4):5687-5718.
    Statistical evidence—say, that 95% of your co-workers badmouth each other—can never render resenting your colleague appropriate, in the way that other evidence (say, the testimony of a reliable friend) can. The problem of statistical resentment is to explain why. We put the problem of statistical resentment in several wider contexts: The context of the problem of statistical evidence in legal theory; the epistemological context—with problems like the lottery paradox for knowledge, epistemic impurism and doxastic wrongdoing; and the context of a (...)
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  • How to Believe Long Conjunctions of Beliefs: Probability, Quasi-Dogmatism and Contextualism.Stefano Bonzio, Gustavo Cevolani & Tommaso Flaminio - 2021 - Erkenntnis 88 (3):965-990.
    According to the so-called Lockean thesis, a rational agent believes a proposition just in case its probability is sufficiently high, i.e., greater than some suitably fixed threshold. The Preface paradox is usually taken to show that the Lockean thesis is untenable, if one also assumes that rational agents should believe the conjunction of their own beliefs: high probability and rational belief are in a sense incompatible. In this paper, we show that this is not the case in general. More precisely, (...)
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  • Suspending judgment the correct way.Luis Rosa - 2023 - Inquiry: An Interdisciplinary Journal of Philosophy 66 (10):2001-2023.
    In this paper I present reasons for us to accept the hypothesis that suspended judgment has correctness conditions, just like beliefs do. Roughly put, the idea is that suspended judgment about p is correct when both p and ¬p might be true in view of certain facts that characterize the subject’s situation. The reasons to accept that hypothesis are broadly theoretical ones: it adds unifying power to our epistemological theories, it delivers good and conservative consequences, and it allows us to (...)
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  • Should agents be immodest?Marc-Kevin Daoust - 2020 - Analytic Philosophy 62 (3):235-251.
    Epistemically immodest agents take their own epistemic standards to be among the most truth-conducive ones available to them. Many philosophers have argued that immodesty is epistemically required of agents, notably because being modest entails a problematic kind of incoherence or self-distrust. In this paper, I argue that modesty is epistemically permitted in some social contexts. I focus on social contexts where agents with limited cognitive capacities cooperate with each other (like juries).
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  • Good Guesses.Kevin Dorst & Matthew Mandelkern - 2021 - Philosophy and Phenomenological Research 105 (3):581-618.
    This paper is about guessing: how people respond to a question when they aren’t certain of the answer. Guesses show surprising and systematic patterns that the most obvious theories don’t explain. We argue that these patterns reveal that people aim to optimize a tradeoff between accuracy and informativity when forming their guess. After spelling out our theory, we use it to argue that guessing plays a central role in our cognitive lives. In particular, our account of guessing yields new theories (...)
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  • Teaching & Learning Guide for: The Relationship Between Belief and Credence.Elizabeth Jackson - 2020 - Philosophy Compass 15 (6):e12670.
    This guide accompanies the following article(s): Jackson, E., Philosophy Compass 15/6 (2020) pp. 1-13 10.1111/phc3.12668.x.
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  • Belief, Credence and Statistical Evidence.Davide Fassio & Jie Gao - 2020 - Theoria 86 (4):500-527.
    According to the Rational Threshold View, a rational agent believes p if and only if her credence in p is equal to or greater than a certain threshold. One of the most serious challenges for this view is the problem of statistical evidence: statistical evidence is often not sufficient to make an outright belief rational, no matter how probable the target proposition is given such evidence. This indicates that rational belief is not as sensitive to statistical evidence as rational credence. (...)
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  • Veritistic Teleological Epistemology, the Bad Lot, and Epistemic Risk Consistency.Raimund Pils - 2024 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 55 (3):399-419.
    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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  • Toward a Lockean Unification of Formal and Traditional Epistemology.Matthew Brandon Lee & Paul Silva - 2022 - Episteme 19 (1):111-129.
    A Lockean metaphysics of belief that understands outright belief as a determinable with degrees of confidence as determinates is supposed to effect a unification of traditional coarse-grained epistemology of belief with fine-grained epistemology of confidence. But determination of belief by confidence would not by itself yield the result that norms for confidence carry over to norms for outright belief unless belief and high confidence are token identical. We argue that this token-identity thesis is incompatible with the neglected phenomenon of “mistuned (...)
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  • The Relationship Between Belief and Credence.Elizabeth G. Jackson - 2020 - Philosophy Compass 15 (6):1–13.
    Sometimes epistemologists theorize about belief, a tripartite attitude on which one can believe, withhold belief, or disbelieve a proposition. In other cases, epistemologists theorize about credence, a fine-grained attitude that represents one’s subjective probability or confidence level toward a proposition. How do these two attitudes relate to each other? This article explores the relationship between belief and credence in two categories: descriptive and normative. It then explains the broader significance of the belief-credence connection and concludes with general lessons from the (...)
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  • Cut-off points for the rational believer.Lina Maria Lissia - 2022 - Synthese 200 (2):1-19.
    I show that the Lottery Paradox is just a version of the Sorites, and argue that this should modify our way of looking at the Paradox itself. In particular, I focus on what I call “the Cut-off Point Problem” and contend that this problem, well known by Sorites scholars, ought to play a key role in the debate on Kyburg’s puzzle. Very briefly, I show that, in the Lottery Paradox, the premises “ticket n°1 will lose”, “ticket n°2 will lose”… “ticket (...)
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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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  • Full & Partial Belief.Konstantin Genin - 2019 - In Richard Pettigrew & Jonathan Weisberg (eds.), The Open Handbook of Formal Epistemology. PhilPapers Foundation. pp. 437-498.
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  • Belief Revision Theory.Hanti Lin - 2019 - In Richard Pettigrew & Jonathan Weisberg (eds.), The Open Handbook of Formal Epistemology. PhilPapers Foundation. pp. 349-396.
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  • A Defense of Intrapersonal Belief Permissivism.Elizabeth Jackson - 2021 - Episteme 18 (2):313–327.
    Permissivism is the view that there are evidential situations that rationally permit more than one attitude toward a proposition. In this paper, I argue for Intrapersonal Belief Permissivism (IaBP): that there are evidential situations in which a single agent can rationally adopt more than one belief-attitude toward a proposition. I give two positive arguments for IaBP; the first involves epistemic supererogation and the second involves doubt. Then, I should how these arguments give intrapersonal permissivists a distinct response to the toggling (...)
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  • Permissive Situations and Direct Doxastic Control.Blake Roeber - 2020 - Philosophy and Phenomenological Research 101 (2):415-431.
    According to what I will call ‘the disanalogy thesis,’ beliefs differ from actions in at least the following important way: while cognitively healthy people often exhibit direct control over their actions, there is no possible scenario where a cognitively healthy person exhibits direct control over her beliefs. Recent arguments against the disanalogy thesis maintain that, if you find yourself in what I will call a ‘permissive situation’ with respect to p, then you can have direct control over whether you believe (...)
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  • Belief and Credence: A Defense of Dualism.Elizabeth Jackson - 2019 - Dissertation, University of Notre Dame
    Belief is a familiar attitude: taking something to be the case or regarding it as true. But we are more confident in some of our beliefs than in others. For this reason, many epistemologists appeal to a second attitude, called credence, similar to a degree of confidence. This raises the question: how do belief and credence relate to each other? On a belief-first view, beliefs are more fundamental and credences are a species of beliefs, e.g. beliefs about probabilities. On a (...)
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  • The relation between degrees of belief and binary beliefs: A general impossibility theorem.Franz Dietrich & Christian List - 2020 - In Igor Douven (ed.), Lotteries, Knowledge, and Rational Belief: Essays on the Lottery Paradox. New York, NY, USA: Cambridge University Press. pp. 223-54.
    Agents are often assumed to have degrees of belief (“credences”) and also binary beliefs (“beliefs simpliciter”). How are these related to each other? A much-discussed answer asserts that it is rational to believe a proposition if and only if one has a high enough degree of belief in it. But this answer runs into the “lottery paradox”: the set of believed propositions may violate the key rationality conditions of consistency and deductive closure. In earlier work, we showed that this problem (...)
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  • How Belief-Credence Dualism Explains Away Pragmatic Encroachment.Elizabeth Jackson - 2019 - Philosophical Quarterly 69 (276):511-533.
    Belief-credence dualism is the view that we have both beliefs and credences and neither attitude is reducible to the other. Pragmatic encroachment is the view that practical stakes can affect the epistemic rationality of states like knowledge or justified belief. In this paper, I argue that dualism offers a unique explanation of pragmatic encroachment cases. First, I explain pragmatic encroachment and what motivates it. Then, I explain dualism and outline a particular argument for dualism. Finally, I show how dualism can (...)
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  • Philosophical Methods Under Scrutiny: Introduction to the Special Issue "Philosophical Methods".Anna-Maria A. Eder, Insa Lawler & Raphael van Riel - 2020 - Synthese 197 (3):915-923.
    This paper is the introduction to the Special Issue “Philosophical Methods”. The Special Issue will be published by Synthese.
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  • The joint aggregation of beliefs and degrees of belief.Paul D. Thorn - 2018 - Synthese 197 (12):5389-5409.
    The article proceeds upon the assumption that the beliefs and degrees of belief of rational agents satisfy a number of constraints, including: consistency and deductive closure for belief sets, conformity to the axioms of probability for degrees of belief, and the Lockean Thesis concerning the relationship between belief and degree of belief. Assuming that the beliefs and degrees of belief of both individuals and collectives satisfy the preceding three constraints, I discuss what further constraints may be imposed on the aggregation (...)
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  • Higher-Order Defeat and Doxastic Resilience.Asbjørn Steglich-Petersen - 2019 - In Mattias Skipper & Asbjørn Steglich-Petersen (eds.), Higher-Order Evidence: New Essays. Oxford, United Kingdom: Oxford University Press.
    It seems obvious that when higher-order evidence makes it rational for one to doubt that one’s own belief on some matter is rational, this can undermine the rationality of that belief. This is known as higher-order defeat. However, despite its intuitive plausibility, it has proved puzzling how higher-order defeat works, exactly. To highlight two prominent sources of puzzlement, higher-order defeat seems to defy being understood in terms of conditionalization; and higher-order defeat can sometimes place agents in what seem like epistemic (...)
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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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  • From probabilities to categorical beliefs: Going beyond toy models.Igor Douven & Hans Rott - 2018 - Journal of Logic and Computation 28 (6):1099-1124.
    According to the Lockean thesis, a proposition is believed just in case it is highly probable. While this thesis enjoys strong intuitive support, it is known to conflict with seemingly plausible logical constraints on our beliefs. One way out of this conflict is to make probability 1 a requirement for belief, but most have rejected this option for entailing what they see as an untenable skepticism. Recently, two new solutions to the conflict have been proposed that are alleged to be (...)
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