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  1. Edward H. Allen (1976). Negative Probabilities and the Uses of Signed Probability Theory. Philosophy of Science 43 (1):53-70.
    The use of negative probabilities is discussed for certain problems in which a stochastic process approach is indicated. An extension of probability theory to include signed (negative and positive) probabilities is outlined and both philosophical and axiomatic examinations of negative probabilities are presented. Finally, a class of applications illustrates the use and implications of signed probability theory.
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  2. Antony Eagle (forthcoming). Probability and Randomness. In Alan Hájek & Christopher Hitchcock (eds.), Oxford Handbook of Probability and Philosophy. Oxford University Press
  3. Dale C. Gillman (2014). On the Search For Objective Truths of Reality and Human Society: Part 1. Dissertation, Kennesaw State University
    Abstract Pioneers in the respective field of philosophy have made remarkable progress in the world. Thinkers starting with Plato and more contemporary thinkers such as Descartes and many others have tried pushing the limits of what humans can learn about the world around us. In my paper I am trying to establish probability as a recognized law of our physical reality. I also briefly discuss logic, reason and the need for modern philosophy. My hopes are also to show that though (...)
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  4. Alan Hájek (2001). Probability, Logic, and Probability Logic. In Lou Goble (ed.), The Blackwell Guide to Philosophical Logic. Blackwell Publishers 362--384.
  5. Conor Mayo-Wilson & Gregory Wheeler (forthcoming). Scoring Imprecise Credences: A Mildly Immodest Proposal. Philosophy and Phenomenological Research.
  6. Arthur Paul Pedersen & Gregory Wheeler (2014). Demystifying Dilation. Erkenntnis 79 (6):1305-1342.
    Dilation occurs when an interval probability estimate of some event E is properly included in the interval probability estimate of E conditional on every event F of some partition, which means that one’s initial estimate of E becomes less precise no matter how an experiment turns out. Critics maintain that dilation is a pathological feature of imprecise probability models, while others have thought the problem is with Bayesian updating. However, two points are often overlooked: (1) knowing that E is stochastically (...)
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  7. Alexander R. Pruss (2012). Infinite Lotteries, Perfectly Thin Darts and Infinitesimals. Thought: A Journal of Philosophy 1 (2):81-89.
    One of the problems that Bayesian regularity, the thesis that all contingent propositions should be given probabilities strictly between zero and one, faces is the possibility of random processes that randomly and uniformly choose a number between zero and one. According to classical probability theory, the probability that such a process picks a particular number in the range is zero, but of course any number in the range can indeed be picked. There is a solution to this particular problem on (...)
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  8. Lukas M. Verburgt (2013). Robert Leslie Ellis's Work on Philosophy of Science and the Foundations of Probability Theory. Historia Mathematica 40 (4):423-454.
    The goal of this paper is to provide an extensive account of Robert Leslie Ellisʼs largely forgotten work on philosophy of science and probability theory. On the one hand, it is suggested that both his ‘idealist’ renovation of the Baconian theory of induction and a ‘realism’ vis-à-vis natural kinds were the result of a complex dialogue with the work of William Whewell. On the other hand, it is shown to what extent the combining of these two positions contributed to Ellisʼs (...)
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