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The Concept of Probability in the Mathematical Representation of Reality

Open Court: La Salle. Edited by Frederick Eberhardt & Clark Glymour (2008)

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  1. Johannes von Kries’s Principien: A Brief Guide for the Perplexed.Sandy Zabell - 2016 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 47 (1):131-150.
    This paper has the aim of making Johannes von Kries’s masterpiece, Die Principien der Wahrscheinlichkeitsrechnung of 1886, a little more accessible to the modern reader in three modest ways: first, it discusses the historical background to the book ; next, it summarizes the basic elements of von Kries’s approach ; and finally, it examines the so-called “principle of cogent reason” with which von Kries’s name is often identified in the English literature.
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  • Philosophy as conceptual engineering: Inductive logic in Rudolf Carnap's scientific philosophy.Christopher F. French - 2015 - Dissertation, University of British Columbia
    My dissertation explores the ways in which Rudolf Carnap sought to make philosophy scientific by further developing recent interpretive efforts to explain Carnap’s mature philosophical work as a form of engineering. It does this by looking in detail at his philosophical practice in his most sustained mature project, his work on pure and applied inductive logic. I, first, specify the sort of engineering Carnap is engaged in as involving an engineering design problem and then draw out the complications of design (...)
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  • Reviving Frequentism.Mario Hubert - 2021 - Synthese 199:5255–5584.
    Philosophers now seem to agree that frequentism is an untenable strategy to explain the meaning of probabilities. Nevertheless, I want to revive frequentism, and I will do so by grounding probabilities on typicality in the same way as the thermodynamic arrow of time can be grounded on typicality within statistical mechanics. This account, which I will call typicality frequentism, will evade the major criticisms raised against previous forms of frequentism. In this theory, probabilities arise within a physical theory from statistical (...)
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  • The Maxim of Probabilism, with special regard to Reichenbach.Miklós Rédei & Zalán Gyenis - 2021 - Synthese 199 (3-4):8857-8874.
    It is shown that by realizing the isomorphism features of the frequency and geometric interpretations of probability, Reichenbach comes very close to the idea of identifying mathematical probability theory with measure theory in his 1949 work on foundations of probability. Some general features of Reichenbach’s axiomatization of probability theory are pointed out as likely obstacles that prevented him making this conceptual move. The role of isomorphisms of Kolmogorovian probability measure spaces is specified in what we call the “Maxim of Probabilism”, (...)
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  • Richard Dawkins. The God Delusion. First Mariner Books, 2008. / Michael Martin . The Cambridge Companion to Atheism. Cambridge University Press, 2007. / Louise M. Antony . Philosophers without Gods. Meditations on Atheism and the Secular Life. Oxford University Press, 2007. [REVIEW]Raymond Aaron Younis - 2009 - European Journal for Philosophy of Religion 1 (1):157-176.
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  • A contemporary example of Reichenbachian coordination.Frederick Eberhardt - 2022 - Synthese 200 (2):1-14.
    This article is an attempt to provide an example that illustrates Hans Reichenbach’s concept of coordination. Throughout Reichenbach’s career the concept of coordination played an important role in his understanding of the connection between reality and how it is scientifically described. Reichenbach never fully specified what coordination is and how exactly it works. Instead, we are left with a variety of hints and gestures, many not entirely consistent with each other and several that are subject to change over the course (...)
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  • Dynamic probability and the problem of initial conditions.Michael Strevens - 2021 - Synthese 199 (5-6):14617-14639.
    Dynamic approaches to understanding probability in the non-fundamental sciences turn on certain properties of physical processes that are apt to produce “probabilistically patterned” outcomes. The dynamic properties on their own, however, seem not quite sufficient to explain the patterns; in addition, some sort of assumption about initial conditions must be made, an assumption that itself typically takes a probabilistic form. How should such a posit be understood? That is the problem of initial conditions. Reichenbach, in his doctoral dissertation, floated a (...)
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  • Stochastic Independence and Causal Connection.Michael Strevens - 2015 - Erkenntnis 80 (S3):605-627.
    Assumptions of stochastic independence are crucial to statistical models in science. Under what circumstances is it reasonable to suppose that two events are independent? When they are not causally or logically connected, so the standard story goes. But scientific models frequently treat causally dependent events as stochastically independent, raising the question whether there are kinds of causal connection that do not undermine stochastic independence. This paper provides one piece of an answer to this question, treating the simple case of two (...)
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