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  1. added 2014-11-30
    General Causal Propensities, Classical and Quantum Probabilities.David Sapire - 1992 - Philosophical Papers 21 (3):243-258.
  2. added 2014-10-16
    On Classical Finite Probability Theory as a Quantum Probability Calculus.David Ellerman - manuscript
    This paper shows how the classical finite probability theory (with equiprobable outcomes) can be reinterpreted and recast as the quantum probability calculus of a pedagogical or "toy" model of quantum mechanics over sets (QM/sets). There are two parts. The notion of an "event" is reinterpreted from being an epistemological state of indefiniteness to being an objective state of indefiniteness. And the mathematical framework of finite probability theory is recast as the quantum probability calculus for QM/sets. The point is not to (...)
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  3. added 2014-04-01
    Four Probability-Preserving Properties of Inferences.Ernest W. Adams - 1996 - Journal of Philosophical Logic 25 (1):1 - 24.
    Different inferences in probabilistic logics of conditionals 'preserve' the probabilities of their premisses to different degrees. Some preserve certainty, some high probability, some positive probability, and some minimum probability. In the first case conclusions must have probability I when premisses have probability 1, though they might have probability 0 when their premisses have any lower probability. In the second case, roughly speaking, if premisses are highly probable though not certain then conclusions must also be highly probable. In the third case (...)
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  4. added 2009-06-18
    Exhaustive Classication of Finite Classical Probability Spaces with Regard to the Notion of Causal Up-to-N-Closedness.Michal Marczyk & Leszek Wronski - unknown
    Extending the ideas from (Hofer-Szabó and Rédei [2006]), we introduce the notion of causal up-to-n-closedness of probability spaces. A probability space is said to be causally up-to-n-closed with respect to a relation of independence R_ind iff for any pair of correlated events belonging to R_ind the space provides a common cause or a common cause system of size at most n. We prove that a finite classical probability space is causally up-to-3-closed w.r.t. the relation of logical independence iff its probability (...)
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  5. added 2008-12-31
    Some Remarks on Classical Probability Theory in Quantum Mechanics.G. Gerlich - 1981 - Erkenntnis 16 (3):335 - 338.
  6. added 2008-12-31
    Quantum Mechanics and Classical Probability Theory.Joseph D. Sneed - 1970 - Synthese 21 (1):34 - 64.
  7. added 2008-12-31
    Can Quantum Mechanics Be Formulated as a Classical Probability Theory?Leon Cohen - 1966 - Philosophy of Science 33 (4):317-322.
    It is shown that quantum mechanics cannot be formulated as a stochastic theory involving a probability distribution function of position and momentum. This is done by showing that the most general distribution function which yields the proper quantum mechanical marginal distributions cannot consistently be used to predict the expectations of observables if phase space integration is used. Implications relating to the possibility of establishing a "hidden" variable theory of quantum mechanics are discussed.
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