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Probability and the Logic of Rational Belief

Middletown, CT, USA: Wesleyan University Press (1961)

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  1. Rationality: Constraints and Contexts.Timothy Joseph Lane & Tzu-Wei Hung (eds.) - 2016 - London, U.K.: Elsevier Academic Press.
    "Rationality: Contexts and Constraints" is an interdisciplinary reappraisal of the nature of rationality. In method, it is pluralistic, drawing upon the analytic approaches of philosophy, linguistics, neuroscience, and more. These methods guide exploration of the intersection between traditional scholarship and cutting-edge philosophical or scientific research. In this way, the book contributes to development of a suitably revised, comprehensive understanding of rationality, one that befits the 21st century, one that is adequately informed by recent investigations of science, pathology, non-human thought, emotion, (...)
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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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  • Winners and Losers in the Folk Epistemology of Lotteries.John Turri & Ori Friedman - forthcoming - In James Beebe (ed.), Advances in Experimental Epistemology. London, United Kingdom: pp. 45-69.
    We conducted five experiments that reveal some main contours of the folk epistemology of lotteries. The folk tend to think that you don't know that your lottery ticket lost, based on the long odds ("statistical cases"); by contrast, the folk tend to think that you do know that your lottery ticket lost, based on a news report ("testimonial cases"). We evaluate three previous explanations for why people deny knowledge in statistical cases: the justification account, the chance account, and the statistical (...)
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  • Against Belief Closure.Lina M. Lissia - manuscript
    I argue that we should solve the Lottery Paradox by denying that rational belief is closed under classical logic. To reach this conclusion, I build on my previous result that (a slight variant of) McGee’s election scenario is a lottery scenario (see Lissia 2019). Indeed, this result implies that the sensible ways to deal with McGee’s scenario are the same as the sensible ways to deal with the lottery scenario: we should either reject the Lockean Thesis or Belief Closure. After (...)
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  • On the Independence of Belief and Credence.Elizabeth Jackson - 2022 - Philosophical Issues 32 (1):9-31.
    Much of the literature on the relationship between belief and credence has focused on the reduction question: that is, whether either belief or credence reduces to the other. This debate, while important, only scratches the surface of the belief-credence connection. Even on the anti-reductive dualist view, belief and credence could still be very tightly connected. Here, I explore questions about the belief-credence connection that go beyond reduction. This paper is dedicated to what I call the independence question: just how independent (...)
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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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  • A New Anti-Expertise Dilemma.Thomas Raleigh - 2021 - Synthese (3-4):1-19.
    Instability occurs when the very fact of choosing one particular possible option rather than another affects the expected values of those possible options. In decision theory: An act is stable iff given that it is actually performed, its expected utility is maximal. When there is no stable choice available, the resulting instability can seem to pose a dilemma of practical rationality. A structurally very similar kind of instability, which occurs in cases of anti-expertise, can likewise seem to create dilemmas of (...)
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  • Belief and Probability: A General Theory of Probability Cores.Arthur Paul Pedersen & Horacio Arlo-Costa - 2012 - International Journal of Approximate Reasoning 53 (3).
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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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  • Assertibility and Sensitivity.Geoff Pynn - 2014 - Acta Analytica 29 (1):99-117.
    Epistemologists have proposed various norms of assertion to explain when a speaker is in an epistemic position to assert a proposition. In this article I propose a distinct necessary condition on assertibility: that a speaker should assert only what she sensitively believes, where a subject's belief is sensitive just in case the subject would not hold it if it were false. I argue that the Sensitivity Rule underwrites simple explanations for three key features of assertibility that pose explanatory challenges to (...)
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  • Futher reflections on semantic minimalism: Reply to Wedgwood.Alessandro Capone - 2013 - In Perspectives on Pragmatics and Philosophy. Springer. pp. 437-474..
    semantic minimalism and moderte contextualism.
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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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  • Probabilistic Inference and Probabilistic Reasoning. Kyburg - 1990 - Philosophical Topics 18 (2):107-116.
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  • The norms of acceptance.Joëlle Proust - 2012 - Philosophical Issues 22 (1):316-333.
    An area in the theory of action that has received little attention is how mental agency and world-directed agency interact. The purpose of the present contribution is to clarify the rational conditions of such interaction, through an analysis of the central case of acceptance. There are several problems with the literature about acceptance. First, it remains unclear how a context of acceptance is to be construed. Second, the possibility of conjoining, in acceptance, an epistemic component, which is essentially mind-to-world, and (...)
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  • Degrees of belief.Franz Huber & Christoph Schmidt-Petri (eds.) - 2009 - London: Springer.
    Various theories try to give accounts of how measures of this confidence do or ought to behave, both as far as the internal mental consistency of the agent as ...
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  • Epistemic dimensions of personhood.Simon Evnine - 2008 - New York: Oxford University Press.
    Simon Evnine examines various epistemic aspects of what it is to be a person. Persons are defined as finite beings that have beliefs, including second-order beliefs about their own and others' beliefs, and are agents, capable of making long-term plans. It is argued that for any being meeting these conditions, a number of epistemic consequences obtain. First, all such beings must have certain logical concepts and be able to use them in certain ways. Secondly, there are at least two principles (...)
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  • Why undermining evolutionary debunkers is not enough.Andrew del Rio - 2021 - Synthese 199 (3-4):7437-7452.
    Denying the conclusion of a valid argument is not generally permissible if one suspends on one premise of the argument and believes the other premise. This can happen when one’s only critique of an argument is to undermine one premise. There is incoherence there. Here I examine how this is relevant to the debate on evolutionary debunking of our moral knowledge. I argue that one significant line of response to the debunker is unsuccessful: merely undermining the debunker’s empirical claim. It (...)
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  • Deductive Cogency, understanding, and acceptance.Finnur Dellsén - 2018 - Synthese 195 (7):3121-3141.
    Deductive Cogency holds that the set of propositions towards which one has, or is prepared to have, a given type of propositional attitude should be consistent and closed under logical consequence. While there are many propositional attitudes that are not subject to this requirement, e.g. hoping and imagining, it is at least prima facie plausible that Deductive Cogency applies to the doxastic attitude involved in propositional knowledge, viz. belief. However, this thought is undermined by the well-known preface paradox, leading a (...)
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  • Rational understanding: toward a probabilistic epistemology of acceptability.Finnur Dellsén - 2019 - Synthese 198 (3):2475-2494.
    To understand something involves some sort of commitment to a set of propositions comprising an account of the understood phenomenon. Some take this commitment to be a species of belief; others, such as Elgin and I, take it to be a kind of cognitive policy. This paper takes a step back from debates about the nature of understanding and asks when this commitment involved in understanding is epistemically appropriate, or ‘acceptable’ in Elgin’s terminology. In particular, appealing to lessons from the (...)
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  • Is irrationality systematic?Robyn M. Dawes - 1983 - Behavioral and Brain Sciences 6 (3):491.
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  • The plasticity of human rationality.Norman Daniels & George E. Smith - 1983 - Behavioral and Brain Sciences 6 (3):490.
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  • Truthlikeness and the Lottery Paradox via the Preface Paradox.Simon D'Alfonso - 2018 - Australasian Journal of Philosophy 96 (2):391-397.
    In a 2017 AJP paper, Cevolani and Schurz propose a novel solution to the Preface Paradox that appeals to the notion of expected truthlikeness. This discussion note extends and analyses their approach by applying it to the related Lottery Paradox.
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  • A normatively adequate credal reductivism.Justin M. Dallmann - 2014 - Synthese 191 (10):2301-2313.
    It is a prevalent, if not popular, thesis in the metaphysics of belief that facts about an agent’s beliefs depend entirely upon facts about that agent’s underlying credal state. Call this thesis ‘credal reductivism’ and any view that endorses this thesis a ‘credal reductivist view’. An adequate credal reductivist view will accurately predict both when belief occurs and which beliefs are held appropriately, on the basis of credal facts alone. Several well-known—and some lesser known—objections to credal reductivism turn on the (...)
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  • Information and cognitive agents.Robert Cummins - 1983 - Behavioral and Brain Sciences 6 (1):68-69.
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  • Rationality and Value: The Epistemological Role of Indeterminate and Agent-dependent Values.Horacio Arló Costa - 2006 - Philosophical Studies 128 (1):7-48.
    An important trend in contemporary epistemology centers on elaborating an old idea of pragmatist pedigree: theory selection (and in general the process of changing view and fixing beliefs) presupposes epistemic values. This article focuses on analyzing the case where epistemic values are indeterminate or when the sources of valuation are multiple (epistemic values like coherence and simplicity need not order options in compatible ways). According to the theory that thus arises epistemic alternatives need not be fully ordered by an underlying (...)
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  • Non-adjunctive inference and classical modalities.Horacio Arló Costa - 2005 - Journal of Philosophical Logic 34 (5/6):581 - 605.
    The article focuses on representing different forms of non-adjunctive inference as sub-Kripkean systems of classical modal logic, where the inference from □A and □B to □A ∧ B fails. In particular we prove a completeness result showing that the modal system that Schotch and Jennings derive from a form of non-adjunctive inference in (Schotch and Jennings, 1980) is a classical system strictly stronger than EMN and weaker than K (following the notation for classical modalities presented in Chellas, 1980). The unified (...)
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  • What lottery problem for reliabilism?Juan Comesaña - 2009 - Pacific Philosophical Quarterly 90 (1):1-20.
    It can often be heard in the hallways, and occasionally read in print, that reliabilism runs into special trouble regarding lottery cases. My main aim in this paper is to argue that this is not so. Nevertheless, lottery cases do force us to pay close attention to the relation between justification and probability.
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  • The controversy about irrationality.L. Jonathan Cohen - 1983 - Behavioral and Brain Sciences 6 (3):510.
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  • Belief, acceptance, and probability.L. Jonathan Cohen - 1983 - Behavioral and Brain Sciences 6 (2):248-249.
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  • Minimalism and the generalisation problem: on Horwich’s second solution.Cezary Cieśliński - 2018 - Synthese 195 (3):1077-1101.
    Disquotational theories of truth are often criticised for being too weak to prove interesting generalisations about truth. In this paper we will propose a certain formal theory to serve as a framework for a solution of the generalisation problem. In contrast with Horwich’s original proposal, our framework will eschew psychological notions altogether, replacing them with the epistemic notion of believability. The aim will be to explain why someone who accepts a given disquotational truth theory Th, should also accept various generalisations (...)
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  • Content: Semantic and information-theoretic.Paul M. Churchland & Patricia S. Churchland - 1983 - Behavioral and Brain Sciences 6 (1):67-68.
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  • The epistemological status of lay intuition.Christopher Cherniak - 1983 - Behavioral and Brain Sciences 6 (3):489.
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  • Probability, Approximate Truth, and Truthlikeness: More Ways out of the Preface Paradox.Gustavo Cevolani & Gerhard Schurz - 2017 - Australasian Journal of Philosophy 95 (2):209-225.
    The so-called Preface Paradox seems to show that one can rationally believe two logically incompatible propositions. We address this puzzle, relying on the notions of truthlikeness and approximate truth as studied within the post-Popperian research programme on verisimilitude. In particular, we show that adequately combining probability, approximate truth, and truthlikeness leads to an explanation of how rational belief is possible in the face of the Preface Paradox. We argue that our account is superior to other solutions of the paradox, including (...)
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  • The normality of error.Sam Carter & Simon Goldstein - 2021 - Philosophical Studies 178 (8):2509-2533.
    Formal models of appearance and reality have proved fruitful for investigating structural properties of perceptual knowledge. This paper applies the same approach to epistemic justification. Our central goal is to give a simple account of The Preface, in which justified belief fails to agglomerate. Following recent work by a number of authors, we understand knowledge in terms of normality. An agent knows p iff p is true throughout all relevant normal worlds. To model The Preface, we appeal to the normality (...)
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  • Degrees of Assertability.Sam Carter - 2020 - 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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  • Resolving conflicting information.John Cantwell - 1998 - Journal of Logic, Language and Information 7 (2):191-220.
    Information received from different sources can be inconsistent. Even when the sources of information can be ordered on the basis of their trustworthiness, it turns out that extracting an acceptable notion of support for information is a non-trivial matter, as is the question what information a rational agent should accept. Here it is shown how a support ordering on the information can be generated and how it can be used to decide what information to accept and what not to accept. (...)
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  • Probability, coherent belief and coherent belief changes.John Cantwell & Hans Rott - 2019 - Annals of Mathematics and Artificial Intelligence 87 (3):259-291.
    This paper is about the statics and dynamics of belief states that are represented by pairs consisting of an agent's credences (represented by a subjective probability measure) and her categorical beliefs (represented by a set of possible worlds). Regarding the static side, we argue that the latter proposition should be coherent with respect to the probability measure and that its probability should reach a certain threshold value. On the dynamic side, we advocate Jeffrey conditionalisation as the principal mode of changing (...)
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  • String Theory, Non-Empirical Theory Assessment, and the Context of Pursuit.Frank Cabrera - 2021 - Synthese 198:3671–3699.
    In this paper, I offer an analysis of the radical disagreement over the adequacy of string theory. The prominence of string theory despite its notorious lack of empirical support is sometimes explained as a troubling case of science gone awry, driven largely by sociological mechanisms such as groupthink (e.g. Smolin 2006). Others, such as Dawid (2013), explain the controversy by positing a methodological revolution of sorts, according to which string theorists have quietly turned to nonempirical methods of theory assessment given (...)
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  • Can there be a Bayesian explanationism? On the prospects of a productive partnership.Frank Cabrera - 2017 - Synthese 194 (4):1245–1272.
    In this paper, I consider the relationship between Inference to the Best Explanation and Bayesianism, both of which are well-known accounts of the nature of scientific inference. In Sect. 2, I give a brief overview of Bayesianism and IBE. In Sect. 3, I argue that IBE in its most prominently defended forms is difficult to reconcile with Bayesianism because not all of the items that feature on popular lists of “explanatory virtues”—by means of which IBE ranks competing explanations—have confirmational import. (...)
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  • Belief, credence, and norms.Lara Buchak - 2014 - Philosophical Studies 169 (2):1-27.
    There are currently two robust traditions in philosophy dealing with doxastic attitudes: the tradition that is concerned primarily with all-or-nothing belief, and the tradition that is concerned primarily with degree of belief or credence. This paper concerns the relationship between belief and credence for a rational agent, and is directed at those who may have hoped that the notion of belief can either be reduced to credence or eliminated altogether when characterizing the norms governing ideally rational agents. It presents a (...)
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  • Discrepancies between human behavior and formal theories of rationality: The incompleteness of Bayesian probability logic.Lea Brilmayer - 1983 - Behavioral and Brain Sciences 6 (3):488.
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  • Ought-contextualism and reasoning.Darren Bradley - 2021 - Synthese 199 (1-2):2977-2999.
    What does logic tells us how about we ought to reason? If P entails Q, and I believe P, should I believe Q? I will argue that we should embed the issue in an independently motivated contextualist semantics for ‘ought’, with parameters for a standard and set of propositions. With the contextualist machinery in hand, we can defend a strong principle expressing how agents ought to reason while accommodating conflicting intuitions. I then show how our judgments about blame and guidance (...)
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  • Aggregating Causal Judgments.Richard Bradley, Franz Dietrich & Christian List - 2014 - Philosophy of Science 81 (4):491-515.
    Decision-making typically requires judgments about causal relations: we need to know the causal effects of our actions and the causal relevance of various environmental factors. We investigate how several individuals' causal judgments can be aggregated into collective causal judgments. First, we consider the aggregation of causal judgments via the aggregation of probabilistic judgments, and identify the limitations of this approach. We then explore the possibility of aggregating causal judgments independently of probabilistic ones. Formally, we introduce the problem of causal-network aggregation. (...)
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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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  • Determining what is perceived.Radu J. Bogdan - 1983 - Behavioral and Brain Sciences 6 (1):66-67.
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  • Infinitism and probabilistic justification.Benjamin Bewersdorf - 2014 - Synthese 191 (4):691-699.
    According to infinitism, beliefs can be justified by an infinite chain of reasons. So far, infinitism has rarely been taken seriously and often even dismissed as inconsistent. However, Peijnenburg and Atkinson have recently argued that beliefs can indeed be justified by an infinite chain of reasons, if justification is understood probabilistically. In the following, I will discuss the formal result that has led to this conclusion. I will then introduce three probabilistic explications of justification and examine to which extent they (...)
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  • Indicative Conditionals: Probabilities and Relevance.Franz Berto & Aybüke Özgün - 2021 - Philosophical Studies (11):3697-3730.
    We propose a new account of indicative conditionals, giving acceptability and logical closure conditions for them. We start from Adams’ Thesis: the claim that the acceptability of a simple indicative equals the corresponding conditional probability. The Thesis is widely endorsed, but arguably false and refuted by empirical research. To fix it, we submit, we need a relevance constraint: we accept a simple conditional 'If φ, then ψ' to the extent that (i) the conditional probability p(ψ|φ) is high, provided that (ii) (...)
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  • Knowledge and Evidence You Should Have Had.Matthew A. Benton - 2016 - Episteme 13 (4):471-479.
    Epistemologists focus primarily on cases of knowledge, belief, or credence where the evidence which one possesses, or on which one is relying, plays a fundamental role in the epistemic or normative status of one's doxastic state. Recent work in epistemology goes beyond the evidence one possesses to consider the relevance for such statuses of evidence which one does not possess, particularly when there is a sense in which one should have had some evidence. I focus here on Sanford Goldberg's approach (...)
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  • The rational dimension of understanding.Miloud Belkoniene - 2022 - Synthese 200 (5):1-16.
    It is natural to regard understanding as having a rational dimension, in the sense that understanding seems to require having justification for holding certain beliefs about the world. Some philosophers however argue that justification is not required to gain understanding of phenomena. In the present paper, my intention is to provide a critical examination of the arguments that have been offered against the view that understanding requires justification in order to show that, contrary to what they purport to establish, justification (...)
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  • Justification as faultlessness.Bob Beddor - 2017 - Philosophical Studies 174 (4):901-926.
    According to deontological approaches to justification, we can analyze justification in deontic terms. In this paper, I try to advance the discussion of deontological approaches by applying recent insights in the semantics of deontic modals. Specifically, I use the distinction between weak necessity modals and strong necessity modals to make progress on a question that has received surprisingly little discussion in the literature, namely: ‘What’s the best version of a deontological approach?’ The two most obvious hypotheses are the Permissive View, (...)
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