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  1. Confirmation as partial entailment: A representation theorem in inductive logic.Vincenzo Crupi & Katya Tentori - 2013 - Journal of Applied Logic 11 (4):364-372.
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  • Probabilistic coherence measures: a psychological study of coherence assessment.Jakob Koscholke & Marc Jekel - 2017 - Synthese 194 (4).
    Over the years several non-equivalent probabilistic measures of coherence have been discussed in the philosophical literature. In this paper we examine these measures with respect to their empirical adequacy. Using test cases from the coherence literature as vignettes for psychological experiments we investigate whether the measures can predict the subjective coherence assessments of the participants. It turns out that the participants’ coherence assessments are best described by Roche’s coherence measure based on Douven and Meijs’ average mutual support approach and the (...)
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  • Confirmation measures and collaborative belief updating.Ilho Park - 2014 - Synthese 191 (16):3955-3975.
    There are some candidates that have been thought to measure the degree to which evidence incrementally confirms a hypothesis. This paper provides an argument for one candidate—the log-likelihood ratio measure. For this purpose, I will suggest a plausible requirement that I call the Requirement of Collaboration. And then, it will be shown that, of various candidates, only the log-likelihood ratio measure \(l\) satisfies this requirement. Using this result, Jeffrey conditionalization will be reformulated so as to disclose explicitly what determines new (...)
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  • Approaching the truth via belief change in propositional languages.Gustavo Cevolani & Francesco Calandra - 2009 - In M. Suàrez, M. Dorato & M. Rèdei (eds.), EPSA Epistemology and Methodology of Science: Launch of the European Philosophy of Science Association. Springer. pp. 47--62.
    Starting from the sixties of the past century theory change has become a main concern of philosophy of science. Two of the best known formal accounts of theory change are the post-Popperian theories of verisimilitude (PPV for short) and the AGM theory of belief change (AGM for short). In this paper, we will investigate the conceptual relations between PPV and AGM and, in particular, we will ask whether the AGM rules for theory change are effective means for approaching the truth, (...)
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  • Irrelevant conjunction: Statement and solution of a new paradox.Vincenzo Crupi & Katya Tentori - 2010 - Philosophy of Science 77 (1):1-13.
    The so‐called problem of irrelevant conjunction has been seen as a serious challenge for theories of confirmation. It involves the consequences of conjoining irrelevant statements to a hypothesis that is confirmed by some piece of evidence. Following Hawthorne and Fitelson, we reconstruct the problem with reference to Bayesian confirmation theory. Then we extend it to the case of conjoining irrelevant statements to a hypothesis that is dis confirmed by some piece of evidence. As a consequence, we obtain and formally present (...)
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  • Hempel's Raven paradox: A lacuna in the standard bayesian solution.Peter B. M. Vranas - 2004 - British Journal for the Philosophy of Science 55 (3):545-560.
    According to Hempel's paradox, evidence (E) that an object is a nonblack nonraven confirms the hypothesis (H) that every raven is black. According to the standard Bayesian solution, E does confirm H but only to a minute degree. This solution relies on the almost never explicitly defended assumption that the probability of H should not be affected by evidence that an object is nonblack. I argue that this assumption is implausible, and I propose a way out for Bayesians. Introduction Hempel's (...)
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  • (1 other version)How Bayesian Confirmation Theory Handles the Paradox of the Ravens.Branden Fitelson & James Hawthorne - 2010 - In Ellery Eells & James H. Fetzer (eds.), The Place of Probability in Science: In Honor of Ellery Eells (1953-2006). Springer. pp. 247--275.
    The Paradox of the Ravens (a.k.a,, The Paradox of Confirmation) is indeed an old chestnut. A great many things have been written and said about this paradox and its implications for the logic of evidential support. The first part of this paper will provide a brief survey of the early history of the paradox. This will include the original formulation of the paradox and the early responses of Hempel, Goodman, and Quine. The second part of the paper will describe attempts (...)
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  • The paradox of confirmation.Branden Fitelson - 2006 - Philosophy Compass 1 (1):95–113.
    Hempel first introduced the paradox of confirmation in (Hempel 1937). Since then, a very extensive literature on the paradox has evolved (Vranas 2004). Much of this literature can be seen as responding to Hempel’s subsequent discussions and analyses of the paradox in (Hempel 1945). Recently, it was noted that Hempel’s intuitive (and plausible) resolution of the paradox was inconsistent with his official theory of confirmation (Fitelson & Hawthorne 2006). In this article, we will try to explain how this inconsistency affects (...)
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  • Inductive logic and the ravens paradox.Patrick Maher - 1999 - Philosophy of Science 66 (1):50-70.
    Hempel's paradox of the ravens arises from the inconsistency of three prima facie plausible principles of confirmation. This paper uses Carnapian inductive logic to (a) identify which of the principles is false, (b) give insight into why this principle is false, and (c) identify a true principle that is sufficiently similar to the false one that failure to distinguish the two might explain why the false principle is prima facie plausible. This solution to the paradox is compared with a variety (...)
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  • Resolving the Raven Paradox: Simple Random Sampling, Stratified Random Sampling, and Inference to Best Explanation.Barry Ward - 2022 - Philosophy of Science 89 (2):360-377.
    Simple random sampling resolutions of the raven paradox relevantly diverge from scientific practice. We develop a stratified random sampling model, yielding a better fit and apparently rehabilitating simple random sampling as a legitimate idealization. However, neither accommodates a second concern, the objection from potential bias. We develop a third model that crucially invokes causal considerations, yielding a novel resolution that handles both concerns. This approach resembles Inference to the Best Explanation (IBE) and relates the generalization’s confirmation to confirmation of an (...)
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  • A weak symmetry condition for probabilistic measures of confirmation.Jakob Koscholke - 2018 - Philosophical Studies 175 (8):1927-1944.
    This paper presents a symmetry condition for probabilistic measures of confirmation which is weaker than commutativity symmetry, disconfirmation commutativity symmetry but also antisymmetry. It is based on the idea that for any value a probabilistic measure of confirmation can assign there is a corresponding case where degrees of confirmation are symmetric. It is shown that a number of prominent confirmation measures such as Carnap’s difference function, Rescher’s measure of confirmation, Gaifman’s confirmation rate and Mortimer’s inverted difference function do not satisfy (...)
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  • Hempel's Paradox, Law‐likeness and Causal Relations.Severin Schroeder - 2009 - Philosophical Investigations 32 (3):244-263.
    It is widely thought that Bayesian confirmation theory has provided a solution to Hempel's Paradox (the Ravens Paradox). I discuss one well‐known example of this approach, by John Mackie, and argue that it is unconvincing. I then suggest an alternative solution, which shows that the Bayesian approach is altogether mistaken. Nicod's Condition should be rejected because a generalisation is not confirmed by any of its instances if it is not law‐like. And even law‐like non‐basic empirical generalisations, which are expressions of (...)
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  • Evaluating Test Cases for Probabilistic Measures of Coherence.Jakob Koscholke - 2016 - Erkenntnis 81 (1):155-181.
    How can we determine the adequacy of a probabilistic coherence measure? A widely accepted approach to this question besides formulating adequacy constraints is to employ paradigmatic test cases consisting of a scenario providing a joint probability distribution over some specified set of propositions coupled with a normative coherence assessment for this set. However, despite the popularity of the test case approach, a systematic evaluation of the proposed test cases is still missing. This paper’s aim is to change this. Using a (...)
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  • State of the field: Measuring information and confirmation.Vincenzo Crupi & Katya Tentori - 2014 - Studies in History and Philosophy of Science Part A 47 (C):81-90.
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  • Toward a Grammar of Bayesian Confirmation.Vincenzo Crupi, Roberto Festa & Carlo Buttasi - 2009 - In M. Suàrez, M. Dorato & M. Rèdei (eds.), EPSA Epistemology and Methodology of Science: Launch of the European Philosophy of Science Association. Springer. pp. 73--93.
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  • (1 other version)The Place of Probability in Science: In Honor of Ellery Eells (1953-2006).Ellery Eells & James H. Fetzer (eds.) - 2010 - Springer.
    To clarify and illuminate the place of probability in science Ellery Eells and James H. Fetzer have brought together some of the most distinguished philosophers ...
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  • Probabilities over rich languages, testing and randomness.Haim Gaifman & Marc Snir - 1982 - Journal of Symbolic Logic 47 (3):495-548.
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  • Genuine confirmation and tacking by conjunction.Michael Schippers & Gerhard Schurz - 2018 - British Journal for the Philosophy of Science (1):321-352.
    Tacking by conjunction is a deep problem for Bayesian confirmation theory. It is based on the insight that to each hypothesis h that is confirmed by a piece of evidence e one can ‘tack’ an irrelevant hypothesis h′ so that h∧h′ is also confirmed by e. This seems counter-intuitive. Existing Bayesian solution proposals try to soften the negative impact of this result by showing that although h∧h′ is confirmed by e, it is so only to a lower degree. In this (...)
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  • Unfolding the Grammar of Bayesian Confirmation: Likelihood and Antilikelihood Principles.Roberto Festa & Gustavo Cevolani - 2017 - Philosophy of Science 84 (1):56-81.
    We explore the grammar of Bayesian confirmation by focusing on some likelihood principles, including the Weak Law of Likelihood. We show that none of the likelihood principles proposed so far is satisfied by all incremental measures of confirmation, and we argue that some of these measures indeed obey new, prima facie strange, antilikelihood principles. To prove this, we introduce a new measure that violates the Weak Law of Likelihood while satisfying a strong antilikelihood condition. We conclude by hinting at some (...)
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  • “For unto every one that hath shall be given”. Matthew properties for incremental confirmation.Roberto Festa - 2012 - Synthese 184 (1):89-100.
    Confirmation of a hypothesis by evidence can be measured by one of the so far known incremental measures of confirmation. As we show, incremental measures can be formally defined as the measures of confirmation satisfying a certain small set of basic conditions. Moreover, several kinds of incremental measure may be characterized on the basis of appropriate structural properties. In particular, we focus on the so-called Matthew properties: we introduce a family of six Matthew properties including the reverse Matthew effect; we (...)
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  • Information, confirmation, and conditionals.Peter Milne - 2014 - Journal of Applied Logic 12 (3):252-262.
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  • Probability and logic.Colin Howson - 2003 - Journal of Applied Logic 1 (3-4):151-165.
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  • Hempel's ravens, the natural classification of hypotheses and the growth of knowledge.Menachem Fisch - 1984 - Erkenntnis 21 (1):45 - 62.
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  • Referenz und Fallibilismus: zu Hilary Putnams pragmatischem Kognitivismus.Axel Mueller - 2001 - New York: de Gruyter.
    This is a two tiered investigation. On the one hand, the author presents a systematic account of the philosophy of Hilary Putnam. Being the first comprehensive account to be published in the German-speaking world, the author traces the development of Putnam's realism and philosophy of language and their connections from the early 1950's to 2000. Contrary to the popular view of the discontinuity of Putnam's philosophy, he demonstrates that Putnam maintains certain semantic, pragmatic and epistemological foundations for the rational confirmability, (...)
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  • Ravens and relevance.Yael Cohen - 1987 - Erkenntnis 26 (2):153 - 179.
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