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  1. 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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  2. Towards the Inevitability of Non-Classical Probability.Giacomo Molinari - forthcoming - Review of Symbolic Logic:1-27.
    This paper generalises an argument for probabilism due to Lindley [9]. I extend the argument to a number of non-classical logical settings whose truth-values, seen here as ideal aims for belief, are in the set $\{0,1\}$, and where logical consequence $\models $ is given the “no-drop” characterization. First I will show that, in each of these settings, an agent’s credence can only avoid accuracy-domination if its canonical transform is a probability function. In other words, if an agent values accuracy as (...)
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  3. A Study of Mathematical Determination Through Bertrand’s Paradox.Davide Rizza - 2018 - Philosophia Mathematica 26 (3):375-395.
    Certain mathematical problems prove very hard to solve because some of their intuitive features have not been assimilated or cannot be assimilated by the available mathematical resources. This state of affairs triggers an interesting dynamic whereby the introduction of novel conceptual resources converts the intuitive features into further mathematical determinations in light of which a solution to the original problem is made accessible. I illustrate this phenomenon through a study of Bertrand’s paradox.
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  4. Equi-Probability Prior to 1650.Rudolf Schüssler - 2016 - Early Science and Medicine 21 (1):54-74.
  5. MỘT SỐ QUÁ TRÌNH NGẪU NHIÊN CÓ BƯỚC NHẢY.Hoàng Thị Phương Thảo - 2015 - Dissertation, Vietnam National University, Hanoi
    MỘT SỐ QUÁ TRÌNH NGẪU NHIÊN CÓ BƯỚC NHẢY -/- Hoàng Thị Phương Thảo -/- Luận án Tiến sỹ -/- TRƯỜNG ĐẠI HỌC KHOA HỌC TỰ NHIÊN ĐẠI HỌC QUỐC GIA HÀ NỘI -/- Hà Nội - 2015 .
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  6. Jacob Bernoulli. The Art of Conjecturing, Together with Letter to a Friend on Sets in Court Tennis. Translated by, Edith Dudley Sylla. [REVIEW]James Franklin - 2010 - Isis 101 (1):213-214.
    Review of Sylla's translation of Jacob Bernoulli's Art of Conjecturing, emphasising Bernoulli's success in understanding multiple quantifiers to formulate and prove a law of large numbers.
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  7. Bangu’s Random Thoughts on Bertrand’s Paradox.Darrell Patrick Rowbottom & Nicholas Shackel - 2010 - Analysis 70 (4):689-692.
  8. 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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  9. Probability and Infinite Sets.Thomas Bittner - 1993 - Cogito 7 (2):150-152.
  10. General Causal Propensities, Classical and Quantum Probabilities.David Sapire - 1992 - Philosophical Papers 21 (3):243-258.
  11. Probability and Statistics in Historical Perspective.Donald Mackenzie - 1989 - Isis 80:116-124.
  12. Some Remarks on Classical Probability Theory in Quantum Mechanics.G. Gerlich - 1981 - Erkenntnis 16 (3):335 - 338.
  13. Epistemological Probability.Henry E. Kyburg Jr - 1971 - Synthese 23 (2/3):309 - 326.
  14. Quantum Mechanics and Classical Probability Theory.Joseph D. Sneed - 1970 - Synthese 21 (1):34 - 64.
  15. 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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  16. Scientific Procedure and Probability.Felix Kaufmann - 1945 - Philosophy and Phenomenological Research 6 (1):47-66.
  17. Is the Laplacean Theory of Probability Tenable.Ernest Nagel - 1945 - Philosophy and Phenomenological Research 6 (4):614-618.
  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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