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  1. Laws and symmetry.Bas C. Van Fraassen - 1989 - New York: Oxford University Press.
    Metaphysicians speak of laws of nature in terms of necessity and universality; scientists, in terms of symmetry and invariance. In this book van Fraassen argues that no metaphysical account of laws can succeed. He analyzes and rejects the arguments that there are laws of nature, or that we must believe there are, and argues that we should disregard the idea of law as an adequate clue to science. After exploring what this means for general epistemology, the author develops the empiricist (...)
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  • (4 other versions)The Logic of Scientific Discovery.Karl Popper - 1959 - Studia Logica 9:262-265.
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  • (4 other versions)The Logic of Scientific Discovery.K. Popper - 1959 - British Journal for the Philosophy of Science 10 (37):55-57.
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  • Philosophical Theories of Probability.Donald Gillies - 2000 - New York: Routledge.
    The Twentieth Century has seen a dramatic rise in the use of probability and statistics in almost all fields of research. This has stimulated many new philosophical ideas on probability. _Philosophical Theories of Probability_ is the first book to present a clear, comprehensive and systematic account of these various theories and to explain how they relate to one another. Gillies also offers a distinctive version of the propensity theory of probability, and the intersubjective interpretation, which develops the subjective theory.
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  • What conditional probability could not be.Alan Hájek - 2003 - Synthese 137 (3):273--323.
    Kolmogorov''s axiomatization of probability includes the familiarratio formula for conditional probability: 0).$$ " align="middle" border="0">.
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  • (1 other version)Interpretations of probability.Alan Hájek - 2007 - Stanford Encyclopedia of Philosophy.
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  • (1 other version)Two autonomous axiom systems for the calculus of probabilities.Karl R. Popper - 1955 - British Journal for the Philosophy of Science 6 (21):51-57.
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  • Conditioning using conditional expectations: the Borel–Kolmogorov Paradox.Zalán Gyenis, Gabor Hofer-Szabo & Miklós Rédei - 2016 - Synthese 194 (7):2595-2630.
    The Borel–Kolmogorov Paradox is typically taken to highlight a tension between our intuition that certain conditional probabilities with respect to probability zero conditioning events are well defined and the mathematical definition of conditional probability by Bayes’ formula, which loses its meaning when the conditioning event has probability zero. We argue in this paper that the theory of conditional expectations is the proper mathematical device to conditionalize and that this theory allows conditionalization with respect to probability zero events. The conditional probabilities (...)
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  • (1 other version)Creating Modern Probability: Its Mathematics, Physics and Philosophy in Historical Perspective.Lawrence Sklar & Jan von Plato - 1994 - Journal of Philosophy 91 (11):622.
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  • Defusing Bertrand’s Paradox.Zalán Gyenis & Miklós Rédei - 2015 - British Journal for the Philosophy of Science 66 (2):349-373.
    The classical interpretation of probability together with the principle of indifference is formulated in terms of probability measure spaces in which the probability is given by the Haar measure. A notion called labelling invariance is defined in the category of Haar probability spaces; it is shown that labelling invariance is violated, and Bertrand’s paradox is interpreted as the proof of violation of labelling invariance. It is shown that Bangu’s attempt to block the emergence of Bertrand’s paradox by requiring the re-labelling (...)
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  • (1 other version)Two Autonomous Axiom Systems for the Calculus of Probabilities.Karl R. Popper - 1958 - Journal of Symbolic Logic 23 (3):349-349.
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  • A set of independent axioms for probability.Karl R. Popper - 1938 - Mind 47 (186):275-277.
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  • (1 other version)Creating Modern Probability: Its Mathematics, Physics and Philosophy in Historical Perspective.Jan von Plato - 1997 - Philosophical Quarterly 47 (186):122-125.
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  • Alternative axiomatizations of elementary probability theory.William K. Goosens - 1979 - Notre Dame Journal of Formal Logic 20 (1):227-239.
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  • (1 other version)Philosophy of Probablilty.Aidan Lyon - 2009 - In Fritz Allhoff (ed.), Philosophies of the Sciences: A Guide. Malden, MA: Wiley-Blackwell.
    In the philosophy of probability there are two central questions we are concerned with. The first is: what is the correct formal theory of probability? Orthodoxy has it that Kolmogorov’s axioms are the correct axioms of probability. However, we shall see that there are good reasons to consider alternative axiom systems. The second central question is: what do probability statements mean? Are probabilities “out there”, in the world as frequencies, propensities, or some other objective feature of reality, or are probabilities (...)
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