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A probabilistic theory of coherence

Analysis 63 (3):194-199 (2003)

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  1. The Epistemic Value of Expert Autonomy.Finnur Dellsén - 2018 - Philosophy and Phenomenological Research (2):344-361.
    According to an influential Enlightenment ideal, one shouldn't rely epistemically on other people's say-so, at least not if one is in a position to evaluate the relevant evidence for oneself. However, in much recent work in social epistemology, we are urged to dispense with this ideal, which is seen as stemming from a misguided focus on isolated individuals to the exclusion of groups and communities. In this paper, I argue that that an emphasis on the social nature of inquiry should (...)
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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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  • Knowledge and Approximate Knowledge.Lieven Decock, Igor Douven, Christoph Kelp & Sylvia Wenmackers - 2014 - Erkenntnis 79 (S6):1129-1150.
    Traditionally, epistemologists have held that only truth-related factors matter in the question of whether a subject can be said to know a proposition. Various philosophers have recently departed from this doctrine by claiming that the answer to this question also depends on practical concerns. They take this move to be warranted by the fact that people’s knowledge attributions appear sensitive to contextual variation, in particular variation due to differing stakes. This paper proposes an alternative explanation of the aforementioned fact, one (...)
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  • Bayesian coherentism.Lisa Cassell - 2020 - Synthese 198 (10):9563-9590.
    This paper considers a problem for Bayesian epistemology and proposes a solution to it. On the traditional Bayesian framework, an agent updates her beliefs by Bayesian conditioning, a rule that tells her how to revise her beliefs whenever she gets evidence that she holds with certainty. In order to extend the framework to a wider range of cases, Jeffrey (1965) proposed a more liberal version of this rule that has Bayesian conditioning as a special case. Jeffrey conditioning is a rule (...)
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  • Rational Relations Between Perception and Belief: The Case of Color.Peter Brössel - 2017 - Review of Philosophy and Psychology 8 (4):721-741.
    The present paper investigates the first step of rational belief acquisition. It, thus, focuses on justificatory relations between perceptual experiences and perceptual beliefs, and between their contents, respectively. In particular, the paper aims at outlining how it is possible to reason from the content of perceptual experiences to the content of perceptual beliefs. The paper thereby approaches this aim by combining a formal epistemology perspective with an eye towards recent advances in philosophy of cognition. Furthermore the paper restricts its focus, (...)
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  • Keynes’s Coefficient of Dependence Revisited.Peter Brössel - 2015 - Erkenntnis 80 (3):521-553.
    Probabilistic dependence and independence are among the key concepts of Bayesian epistemology. This paper focuses on the study of one specific quantitative notion of probabilistic dependence. More specifically, section 1 introduces Keynes’s coefficient of dependence and shows how it is related to pivotal aspects of scientific reasoning such as confirmation, coherence, the explanatory and unificatory power of theories, and the diversity of evidence. The intimate connection between Keynes’s coefficient of dependence and scientific reasoning raises the question of how Keynes’s coefficient (...)
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  • Assessing Theories: The Coherentist Approach.Peter Brössel - 2014 - Erkenntnis 79 (3):593-623.
    In this paper we show that the coherence measures of Olsson (J Philos 94:246–272, 2002), Shogenji (Log Anal 59:338–345, 1999), and Fitelson (Log Anal 63:194–199, 2003) satisfy the two most important adequacy requirements for the purpose of assessing theories. Following Hempel (Synthese 12:439–469, 1960), Levi (Gambling with truth, New York, A. A. Knopf, 1967), and recently Huber (Synthese 161:89–118, 2008) we require, as minimal or necessary conditions, that adequate assessment functions favor true theories over false theories and true and informative (...)
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  • Coherence and the Role of Specificity: A Response to Meijs and Douven.Luc Bovens & Stephan Hartmann - 2005 - Mind 114 (454):365-369.
    Meijs and Douven (2005) present an interesting pair of alleged counterexamples and an algorithm to generate such counter-examples to our criterion for a coherence quasi-ordering over information sets as outlined in our 2003a and 2003b accounts. We agree that our criterion does not always provide an ordering when we would intuitively say that one set is more coherent than the other. Nonetheless, we think that our criterion can be salvaged.
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  • An Impossibility Result for Coherence Rankings.Luc Bovens & Stephan Hartmann - 2006 - Philosophical Studies 128 (1):77-91.
    If we receive information from multiple independent and partially reliable information sources, then whether we are justified to believe these information items is affected by how reliable the sources are, by how well the information coheres with our background beliefs and by how internally coherent the information is. We consider the following question. Is coherence a separable determinant of our degree of belief, i.e. is it the case that the more coherent the new information is, the more justified we are (...)
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  • Bayesianism and Explanatory Unification: A Compatibilist Account.Thomas Blanchard - 2018 - Philosophy of Science 85 (4):682-703.
    Proponents of IBE claim that the ability of a hypothesis to explain a range of phenomena in a unifying way contributes to the hypothesis’s credibility in light of these phenomena. I propose a Bayesian justification of this claim that reveals a hitherto unnoticed role for explanatory unification in evaluating the plausibility of a hypothesis: considerations of explanatory unification enter into the determination of a hypothesis’s prior by affecting its ‘explanatory coherence’, that is, the extent to which the hypothesis offers mutually (...)
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  • Applying argumentation to structure and visualize multi-dimensional opinion spaces.Gregor Betz, Michael Hamann, Tamara Mchedlidze & Sophie von Schmettow - 2018 - Argument and Computation 10 (1):23-40.
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  • How to confirm the disconfirmed. On conjunction fallacies and robust confirmation.David Atkinson, Jeanne Peijnenburg & Theo Kuipers - 2009 - Philosophy of Science 76 (1):1-21.
    Can some evidence confirm a conjunction of two hypotheses more than it confirms either of the hypotheses separately? We show that it can, moreover under conditions that are the same for nine different measures of confirmation. Further we demonstrate that it is even possible for the conjunction of two disconfirmed hypotheses to be confirmed by the same evidence.
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  • The defeasible nature of coherentist justification.Staffan Angere - 2007 - Synthese 157 (3):321 - 335.
    The impossibility results of Bovens and Hartmann (2003, Bayesian epistemology. Oxford: Clarendon Press) and Olsson (2005, Against coherence: Truth, probability and justification. Oxford: Oxford University Press.) show that the link between coherence and probability is not as strong as some have supposed. This paper is an attempt to bring out a way in which coherence reasoning nevertheless can be justified, based on the idea that, even if it does not provide an infallible guide to probability, it can give us an (...)
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  • Coherence as a heuristic.Staffan Angere - 2008 - Mind 117 (465):1-26.
    The impossibility results of Bovens and Hartmann (2003) and Olsson (2005) call into question the strength of the connection between coherence and truth. As part of the inquiry into this alleged link, I define a notion of degree of truth-conduciveness, relevant for measuring the usefulness of coherence measures as rules-of-thumb for assigning probabilities in situations of partial knowledge. I use the concept to compare the viability of some of the measures of coherence that have been suggested so far under different (...)
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  • Coherence, Muller’s Ratchet, and the Maintenance of Culture.Marshall Abrams - 2015 - Philosophy of Science 82 (5):983-996.
    I investigate the structure of an argument that culture cannot be maintained in a population if each individual learns only from a single person. This appears to conflict with many models of cultural transmission and real-world cases. I resolve the first problem by showing that one of the models central to the argument is conceptually analogous and mathematically equivalent to one used to investigate the evolution of sexual reproduction. I resolve the second by arguing that probabilistic models of epistemological coherence (...)
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  • Coherence and probability: A probabilistic account of coherence.Roche William - 2013 - In Michal Araszkiewicz & Jaromír Šavelka (eds.), Coherence: Insights from Philosophy, Jurisprudence and Artificial Intelligence. Springer. pp. 59-91.
    I develop a probabilistic account of coherence, and argue that at least in certain respects it is preferable to (at least some of) the main extant probabilistic accounts of coherence: (i) Igor Douven and Wouter Meijs’s account, (ii) Branden Fitelson’s account, (iii) Erik Olsson’s account, and (iv) Tomoji Shogenji’s account. Further, I relate the account to an important, but little discussed, problem for standard varieties of coherentism, viz., the “Problem of Justified Inconsistent Beliefs.”.
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  • A Remark on Probabilistic Measures of Coherence.Sergi Oms - 2020 - Notre Dame Journal of Formal Logic 61 (1):129-140.
    In recent years, some authors have proposed quantitative measures of the coherence of sets of propositions. Such probabilistic measures of coherence (PMCs) are, in general terms, functions that take as their argument a set of propositions (along with some probability distribution) and yield as their value a number that is supposed to represent the degree of coherence of the set. In this paper, I introduce a minimal constraint on PMC theories, the weak stability principle, and show that any correct, coherent, (...)
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  • Methodological naturalism and epistemic internalism.Gregory Wheeler & Luís Moniz Pereira - 2008 - Synthese 163 (3):315-328.
    Epistemic naturalism holds that the results or methodologies from the cognitive sciences are relevant to epistemology, and some have maintained that scientific methods are more compatible with externalist theories of justification than with internalist theories. But practically all discussions about naturalized epistemology are framed exclusively in terms of cognitive psychology, which is only one of the cognitive sciences. The question addressed in this essay is whether a commitment to naturalism really does favor externalism over internalism, and we offer reasons for (...)
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  • Foundations of a Probabilistic Theory of Causal Strength.Jan Sprenger - 2018 - Philosophical Review 127 (3):371-398.
    This paper develops axiomatic foundations for a probabilistic-interventionist theory of causal strength. Transferring methods from Bayesian confirmation theory, I proceed in three steps: I develop a framework for defining and comparing measures of causal strength; I argue that no single measure can satisfy all natural constraints; I prove two representation theorems for popular measures of causal strength: Pearl's causal effect measure and Eells' difference measure. In other words, I demonstrate these two measures can be derived from a set of plausible (...)
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  • Why explanation and thus coherence cannot be reduced to probability.M. Siebel - 2011 - Analysis 71 (2):264-266.
    Some philosophers, most notably Hempel and Salmon, have tried to reduce explanation to probability by proposing analyses of explanation in probabilistic terms. Hempel claims, roughly, that a hypothesis H explains a datum D if and only if the conditional probability P is close to 1. It is well known that such an account fails in cases where H is irrelevant for D. Even though it is highly likely that Tom will not become pregnant, given that he regularly takes his wife’s (...)
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  • Equivalent testimonies as a touchstone of coherence measures.Mark Siebel & Werner Wolff - 2008 - Synthese 161 (2):167-182.
    Over the past years, a number of probabilistic measures of coherence have been proposed. As shown in the paper, however, many of them do not conform to the intuitition that equivalent testimonies are highly coherent, regardless of their prior probability.
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  • Against Probabilistic Measures of Coherence.Mark Siebel - 2005 - Erkenntnis 63 (3):335-360.
    It is shown that the probabilistic theories of coherence proposed up to now produce a number of counter-intuitive results. The last section provides some reasons for believing that no probabilistic measure will ever be able to adequately capture coherence. First, there can be no function whose arguments are nothing but tuples of probabilities, and which assigns different values to pairs of propositions {A, B} and {A, C} if A implies both B and C, or their negations, and if P(B)=P(C). But (...)
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  • The Role of Coherence of Evidence in the Non-Dynamic Model of Confirmation.Tomoji Shogenji - 2005 - Erkenntnis 63 (3):317-333.
    This paper examines the role of coherence of evidence in what I call the non-dynamic model of confirmation. It appears that other things being equal, a higher degree of coherence among pieces of evidence raises to a higher degree the probability of the proposition they support. I argue against this view on the basis of three related observations. First, we should be able to assess the impact of coherence on any hypothesis of interest the evidence supports. Second, the impact of (...)
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  • Justification by Coherence from Scratch.Tomoji Shogenji - 2005 - Philosophical Studies 125 (3):305-325.
    In this paper we make three points about justification of propositions by coherence “from scratch”, where pieces of evidence that are coherent have no individual credibility. First, we argue that no matter how many pieces of evidence are coherent, and no matter what relation we take coherence to be, coherence does not make independent pieces of evidence with no individual credibility credible. Second, we show that an intuitively plausible informal reasoning for justification by coherence from scratch is deficient since it (...)
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  • Coherence of the contents and the transmission of probabilistic support.Tomoji Shogenji - 2013 - Synthese 190 (13):2525-2545.
    This paper examines how coherence of the contents of evidence affects the transmission of probabilistic support from the evidence to the hypothesis. It is argued that coherence of the contents in the sense of the ratio of the positive intersection reduces the transmission of probabilistic support, though this negative impact of coherence may be offset by other aspects of the relations among the contents. It is argued further that there is no broader conception of coherence whose impact on the transmission (...)
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  • A unified account of the conjunction fallacy by coherence.Tomoji Shogenji & Martin L. Jönsson - 2019 - Synthese 196 (1):221-237.
    We propose a coherence account of the conjunction fallacy applicable to both of its two paradigms. We compare our account with a recent proposal by Tentori et al. : 235–255, 2013) that attempts to generalize earlier confirmation accounts. Their model works better than its predecessors in some respects, but it exhibits only a shallow form of generality and is unsatisfactory in other ways as well: it is strained, complex, and untestable as it stands. Our coherence account inherits the strength of (...)
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  • The Problem of Coherence and Truth Redux.Michael Schippers - 2016 - Erkenntnis 81 (4):817-851.
    In “What price coherence?”, Klein and Warfield put forward a simple argument that triggered an extensive debate on the epistemic virtues of coherence. As is well-known, this debate yielded far-reaching impossibility results to the effect that coherence is not conducive to truth, even if construed in a ceteris paribus sense. A large part of the present paper is devoted to a re-evaluation of these results. As is argued, all explications of truth-conduciveness leave out an important aspect: while it might not (...)
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  • The logic of coherence.Michael Schippers & Mark Siebel - 2020 - Synthese 198 (8):7697-7714.
    To remedy the lack of precision attached to the concept of coherence, a plethora of probabilistic measures has been developed. To broaden the perspective, we do not focus on the differences between these quantitative but the differences between qualitative approaches to coherence by comparing three probabilistic definitions for the relation denoted by ‘coheres with’. To reveal the different logics underlying these relations, we introduce a considerable number of formal properties and examine whether the given coherence relations possess them. Among these (...)
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  • Towards a Grammar of Bayesian Coherentism.Michael Schippers - 2015 - Studia Logica 103 (5):955-984.
    One of the integral parts of Bayesian coherentism is the view that the relation of ‘being no less coherent than’ is fully determined by the probabilistic features of the sets of propositions to be ordered. In the last one and a half decades, a variety of probabilistic measures of coherence have been put forward. However, there is large disagreement as to which of these measures best captures the pre-theoretic notion of coherence. This paper contributes to the debate on coherence measures (...)
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  • Structural properties of qualitative and quantitative accounts to coherence.Michael Schippers - 2014 - Review of Symbolic Logic 7 (3):579-598.
  • Probabilistic measures of coherence: from adequacy constraints towards pluralism.Michael Schippers - 2014 - Synthese 191 (16):3821-3845.
    The debate on probabilistic measures of coherence flourishes for about 15 years now. Initiated by papers that have been published around the turn of the millennium, many different proposals have since then been put forward. This contribution is partly devoted to a reassessment of extant coherence measures. Focusing on a small number of reasonable adequacy constraints I show that (i) there can be no coherence measure that satisfies all constraints, and that (ii) subsets of these adequacy constraints motivate two different (...)
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  • On the alleged impossibility of Bayesian Coherentism.Jonah N. Schupbach - 2008 - Philosophical Studies 141 (3):323-331.
    The success of Bovens and Hartmann’s recent “impossibility result” against Bayesian Coherentism relies upon the adoption of a specific set of ceteris paribus conditions. In this paper, I argue that these conditions are not clearly appropriate; certain proposed coherence measures motivate different such conditions and also call for the rejection of at least one of Bovens and Hartmann’s conditions. I show that there exist sets of intuitively plausible ceteris paribus conditions that allow one to sidestep the impossibility result. This shifts (...)
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  • Incoherence and inconsistency.Michael Schippers - 2014 - Review of Symbolic Logic 7 (3):511-528.
  • Genuine Coherence as Mutual Confirmation Between Content Elements.Michael Schippers & Gerhard Schurz - 2017 - Studia Logica 105 (2):299-329.
    The concepts of coherence and confirmation are closely intertwined: according to a prominent proposal coherence is nothing but mutual confirmation. Accordingly, it should come as no surprise that both are confronted with similar problems. As regards Bayesian confirmation measures these are illustrated by the problem of tacking by conjunction. On the other hand, Bayesian coherence measures face the problem of belief individuation. In this paper we want to outline the benefit of an approach to coherence and confirmation based on content (...)
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  • Coherence, striking agreement, and reliability: On a putative vindication of the Shogenji measure.Michael Schippers - 2014 - Synthese 191 (15):3661-3684.
    Striving for a probabilistic explication of coherence, scholars proposed a distinction between agreement and striking agreement. In this paper I argue that only the former should be considered a genuine concept of coherence. In a second step the relation between coherence and reliability is assessed. I show that it is possible to concur with common intuitions regarding the impact of coherence on reliability in various types of witness scenarios by means of an agreement measure of coherence. Highlighting the need to (...)
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  • Coherence reasoning and reliability: a defense of the Shogenji measure.Stefan Schubert - 2012 - Synthese 187 (2):305-319.
    A measure of coherence is said to be reliability conducive if and only if a higher degree of coherence (as measured) results in a higher likelihood that the witnesses are reliable. Recently, it has been proved that several coherence measures proposed in the literature are reliability conducive in a restricted scenario (Olsson and Schubert 2007, Synthese 157:297–308). My aim is to investigate which coherence measures turn out to be reliability conducive in the more general scenario where it is any finite (...)
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  • Coherence and Reliability: The Case of Overlapping Testimonies.Stefan Schubert - 2011 - Erkenntnis 74 (2):263-275.
    A measure of coherence is said to be reliability conducive if and only if a higher degree of coherence (as measured) among testimonies implies a higher probability that the witnesses are reliable. Recently, it has been proved that several coherence measures proposed in the literature are reliability conducive in scenarios of equivalent testimonies (Olsson and Schubert 2007; Schubert, to appear). My aim is to investigate which coherence measures turn out to be reliability conducive in the more general scenario where the (...)
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  • Competing accounts of contrastive coherence.Michael Schippers - 2016 - Synthese 193 (10).
    The proposition that Tweety is a bird coheres better with the proposition that Tweety has wings than with the proposition that Tweety cannot fly. This relationship of contrastive coherence is the focus of the present paper. Based on recent work in formal epistemology we consider various possibilities to model this relationship by means of probability theory. In a second step we consider different applications of these models. Among others, we offer a coherentist interpretation of the conjunction fallacy.
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  • Coherence and Confirmation through Causation.Gregory Wheeler & Richard Scheines - 2013 - Mind 122 (485):135-170.
    Coherentism maintains that coherent beliefs are more likely to be true than incoherent beliefs, and that coherent evidence provides more confirmation of a hypothesis when the evidence is made coherent by the explanation provided by that hypothesis. Although probabilistic models of credence ought to be well-suited to justifying such claims, negative results from Bayesian epistemology have suggested otherwise. In this essay we argue that the connection between coherence and confirmation should be understood as a relation mediated by the causal relationships (...)
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  • Bayesian coherentism and the problem of measure sensitivity.Michael Schippers - 2016 - Logic Journal of the IGPL 24 (4):584-599.
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  • Bayesian Coherentism]Bayesian coherentism and the problem of measure sensitivity.Michael Schippers - 2016 - Logic Journal of the IGPL 24 (4).
  • A General Framework for Probabilistic Measures of Coherence.Michael Schippers & Jakob Koscholke - 2020 - Studia Logica 108 (3):395-424.
    Coherence is a property of propositions hanging together or dovetailing with each other. About two decades ago, formal epistemologists started to engage in the project of explicating the seemingly elusive concept of coherence by means of probability theory. Since then, a plethora of coherence measures have been discussed in the literature. In this paper, we propose a general framework for coherence measures that encompasses the different frameworks of deviation measures, overlap measures and mutual support measures of coherence. Above that we (...)
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  • On the Truth-Conduciveness of Coherence.William Roche - 2014 - Erkenntnis 79 (S3):647-665.
    I argue that coherence is truth-conducive in that coherence implies an increase in the probability of truth. Central to my argument is a certain principle for transitivity in probabilistic support. I then address a question concerning the truth-conduciveness of coherence as it relates to (something else I argue for) the truth-conduciveness of consistency, and consider how the truth-conduciveness of coherence bears on coherentist theories of justification.
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  • Coherence, Probability and Explanation.William Roche & Michael Schippers - 2014 - Erkenntnis 79 (4):821-828.
    Recently there have been several attempts in formal epistemology to develop an adequate probabilistic measure of coherence. There is much to recommend probabilistic measures of coherence. They are quantitative and render formally precise a notion—coherence—notorious for its elusiveness. Further, some of them do very well, intuitively, on a variety of test cases. Siebel, however, argues that there can be no adequate probabilistic measure of coherence. Take some set of propositions A, some probabilistic measure of coherence, and a probability distribution such (...)
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  • Reliability conducive measures of coherence.Erik J. Olsson & Stefan Schubert - 2007 - Synthese 157 (3):297-308.
    A measure of coherence is said to be truth conducive if and only if a higher degree of coherence (as measured) results in a higher likelihood of truth. Recent impossibility results strongly indicate that there are no (non-trivial) probabilistic coherence measures that are truth conducive. Indeed, this holds even if truth conduciveness is understood in a weak ceteris paribus sense (Bovens & Hartmann, 2003, Bayesian epistemology. New York, Oxford: Oxford University Press; Olsson, 2005, Against coherence: Truth probability and justification. Oxford: (...)
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  • Guest editor’s introduction.Erik J. Olsson - 2007 - Synthese 157 (3):267-274.
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  • Dahlman and Mackor on Coherence and Probability in Legal Evidence.Erik J. Olsson - forthcoming - Law, Probability and Risk.
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  • New Hope for Shogenji's Coherence Measure.Jonah N. Schupbach - 2011 - British Journal for the Philosophy of Science 62 (1):125-142.
    I show that the two most devastating objections to Shogenji's formal account of coherence necessarily involve information sets of cardinality . Given this, I surmise that the problem with Shogenji's measure has more to do with his means of generalizing the measure than with the measure itself. I defend this claim by offering an alternative generalization of Shogenji's measure. This alternative retains the intuitive merits of the original measure while avoiding both of the relevant problems that befall it. In the (...)
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  • Coherence and Deontology.Ram Neta - 2015 - Philosophical Perspectives 29 (1):284-304.
  • Ways in which coherence is confirmation conducive.Luca Moretti - 2007 - Synthese 157 (3):309 - 319.
    Recent works in epistemology show that the claim that coherence is truth conducive – in the sense that, given suitable ceteris paribus conditions, more coherent sets of statements are always more probable – is dubious and possibly false. From this, it does not follows that coherence is a useless notion in epistemology and philosophy of science. Dietrich and Moretti (Philosophy of science 72(3): 403–424, 2005) have proposed a formal of account of how coherence is confirmation conducive—that is, of how the (...)
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