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  1. Hume on miracles: Bayesian interpretation, multiple testimony, and the existence of God.Rodney D. Holder - 1998 - British Journal for the Philosophy of Science 49 (1):49-65.
    Hume's argument concerning miracles is interpreted by making approximations to terms in Bayes's theorem. This formulation is then used to analyse the impact of multiple testimony. Individual testimonies which are ‘non-miraculous’ in Hume's sense can in principle be accumulated to yield a high probability both for the occurrence of a single miracle and for the occurrence of at least one of a set of miracles. Conditions are given under which testimony for miracles may provide support for the existence of God.
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  • A bayesian analysis of Hume's argument concerning miracles.Philip Dawid & Donald Gillies - 1989 - Philosophical Quarterly 39 (154):57-65.
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  • The credibility of miracles.Ruth Weintraub - 1996 - Philosophical Studies 82 (3):359 - 375.
    Hume’s famous argument against the credibility of testimony about miracles invokes two premises: 1) The reliability of the witness (the extent to which he is informed and truthful) must be compared with the intrinsic probability of the miracle. 2) The initial probability of a miracle is always small enough to outweigh the improbability that the testimony is false (even when the witness is assumed to be reliable). I defend the first premise of the argument, showing that Hume’s argument can be (...)
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  • Kripke and Fixing the References of “God”.Aviezer Tucker - 2002 - International Studies in Philosophy 34 (4):155-160.
    An examination of the similarities between Kripke's treatment of the references of proper names, and Halevi's discussion of the reference of 'God'.
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  • On the evidence of testimony for miracles: A bayesian interpretation of David Hume's analysis.Jordan Howard Sobel - 1987 - Philosophical Quarterly 37 (147):166-186.
    A BAYESIAN ARTICULATION OF HUME’S VIEWS IS OFFERED BASED ON A FORM OF THE BAYES-LAPLACE THEOREM THAT IS SUPERFICIALLY LIKE A FORMULA OF CONDORCET’S. INFINITESIMAL PROBABILITIES ARE EMPLOYED FOR MIRACLES AGAINST WHICH THERE ARE ’PROOFS’ THAT ARE NOT OPPOSED BY ’PROOFS’. OBJECTIONS MADE BY RICHARD PRICE ARE DEALT WITH, AND RECENT EXPERIMENTS CONDUCTED BY AMOS TVERSKY AND DANIEL KAHNEMAN ARE CONSIDERED IN WHICH PERSONS TEND TO DISCOUNT PRIOR IMPROBABILITIES WHEN ASSESSING REPORTS OF WITNESSES.
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  • A Modest Proposal. [REVIEW]Elliott Sober - 2004 - Philosophy and Phenomenological Research 68 (2):487-494.
    This paper is an essay review of John Earman's book,\nHume's Abject Failure--the Argument against Miracles\n(Oxford University Press, New York, 2000). Earman is very\ncritical of Hume's famous argument about miracles, I am\nmore sympathetic, though I grant that Earman makes many\ngood critical points. Earman's method of analysis is\nBayesian, as is mine.
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  • Miracles and probabilities.George N. Schlesinger - 1987 - Noûs 21 (2):219-232.
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  • Hume versus Price on miracles and prior probabilities: Testimony and the Bayesian calculation.David Owen - 1987 - Philosophical Quarterly 37 (147):187-202.
    Hume’s celebrated argument concerning miracles, and an 18th century criticism of it put forward by Richard Price, is here interpreted in terms of the modern controversy over the base-rate fallacy. When considering to what degree we should trust a witness, should we or should we not take into account the prior probability of the event reported? The reliability of the witness (’Pr’(says e/e)) is distinguished from the credibility of the testimony (’Pr’(e/says e)), and it is argued that Hume, as a (...)
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