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  1. An Essay towards solving a Problem in the Doctrine of Chances.T. Bayes - 1763 - Philosophical Transactions 53:370-418.
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  • Structural realism: The best of both worlds?John Worrall - 1989 - Dialectica 43 (1-2):99-124.
    The no-miracles argument for realism and the pessimistic meta-induction for anti-realism pull in opposite directions. Structural Realism---the position that the mathematical structure of mature science reflects reality---relieves this tension.
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  • Hume's problem: induction and the justification of belief.Colin Howson - 2000 - New York: Oxford University Press.
    In the mid-eighteenth century David Hume argued that successful prediction tells us nothing about the truth of the predicting theory. But physical theory routinely predicts the values of observable magnitudes within very small ranges of error. The chance of this sort of predictive success without a true theory suggests that Hume's argument is flawed. However, Colin Howson argues that there is no flaw and examines the implications of this disturbing conclusion; he also offers a solution to one of the central (...)
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  • Hume's abject failure: the argument against miracles.John Earman - 2000 - New York: Oxford University Press.
    This vital study offers a new interpretation of Hume's famous "Of Miracles," which notoriously argues against the possibility of miracles. By situating Hume's popular argument in the context of the 18th century debate on miracles, Earman shows Hume's argument to be largely unoriginal and chiefly without merit where it is original. Yet Earman constructively conceives how progress can be made on the issues that Hume's essay so provocatively posed about the ability of eyewitness testimony to establish the credibility of marvelous (...)
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  • Realism and the aim of science.Karl R. Popper - 1983 - New York: Routledge. Edited by William Warren Bartley.
    Popper formulates and explains his non-justificationist theory of knowledge. Science--empirical science--aims at true explanatory theories, yet it can never prove, finally establish, or justify any of its theories as true, not even if it is in fact a true theory. Science must continue to question and criticize all its theories, even those which happen to be true.
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  • Hume’s Abject Failure: The Argument Against Miracles.Richard Swinburne - 2002 - Mind 111 (441):95-99.
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  • Enquiry Concerning Human Understanding.David Hume (ed.) - 1904 - Clarendon Press.
    Oxford Philosophical Texts Series Editor: John Cottingham The Oxford Philosophical Texts series consists of authoritative teaching editions of canonical texts in the history of philosophy from the ancient world down to modern times. Each volume provides a clear, well laid out text together with a comprehensive introduction by a leading specialist, giving the student detailed critical guidance on the intellectual context of the work and the structure and philosophical importance of the main arguments. Endnotes are supplied which provide further commentary (...)
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  • Structural Realism: The Best of Both Worlds?John Worrall - 1989 - Dialectica 43 (1-2):99-124.
    SummaryenThe main argument for scientific realism is that our present theories in science are so successful empirically that they can't have got that way by chance - instead they must somehow have latched onto the blueprint of the universe. The main argument against scientific realism is that there have been enormously successful theories which were once accepted but are now regarded as false. The central question addressed in this paper is whether there is some reasonable way to have the best (...)
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  • Exhuming the No-Miracles Argument.Colin Howson - 2013 - Analysis 73 (2):205-211.
    The No-Miracles Argument has a natural representation as a probabilistic argument. As such, it commits the base-rate fallacy. In this article, I argue that a recent attempt to show that there is still a serviceable version that avoids the base-rate fallacy fails, and with it all realistic hope of resuscitating the argument.
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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 bayesian analysis of Hume's argument concerning miracles.Philip Dawid & Donald Gillies - 1989 - Philosophical Quarterly 39 (154):57-65.
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  • A Bayesian proof of a Humean principle.Donald Gillies - 1991 - British Journal for the Philosophy of Science 42 (2):255-256.
    Hume bases his argument against miracles on an informal principle. This paper gives a formal explication of this principle of Hume’s, and then shows that this explication can be rigorously proved in a Bayesian framework.
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