Results for 'Interpretation of Probability'

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  1.  2
    Interpretations of Probability.Alan Hájek - 2014 - In Edward N. Zalta (ed.), The Stanford Encyclopedia of Philosophy. Stanford, CA: The Metaphysics Research Lab.
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  2. A propensity interpretation of probability.Karl Popper - 2010 - In Antony Eagle (ed.), Philosophy of Probability: Contemporary Readings. New York: Routledge.
  3. Interpretations of probability in evolutionary theory.Roberta L. Millstein - 2003 - Philosophy of Science 70 (5):1317-1328.
    Evolutionary theory (ET) is teeming with probabilities. Probabilities exist at all levels: the level of mutation, the level of microevolution, and the level of macroevolution. This uncontroversial claim raises a number of contentious issues. For example, is the evolutionary process (as opposed to the theory) indeterministic, or is it deterministic? Philosophers of biology have taken different sides on this issue. Millstein (1997) has argued that we are not currently able answer this question, and that even scientific realists ought to remain (...)
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  4. Interpretations of probability.Alan Hájek - 2007 - Stanford Encyclopedia of Philosophy.
  5. No Interpretation of Probability.Wolfgang Schwarz - 2018 - Erkenntnis 83 (6):1195-1212.
    I argue that none of the usual interpretations of probability provide an adequate interpretation of probabilistic theories in science. Assuming that the aim of such theories is to capture noisy relationships in the world, I suggest that we do not have to give them classical truth-conditional content at all: their probabilities can remain uninterpreted. Indirectly, this account turns out to explain what is right about the frequency interpretation, the best-systems interpretation, and the epistemic interpretation.
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  6. An interpretation of probability in the law of evidence based on pro-et-contra argumentation.Lennart Åqvist - 2007 - Artificial Intelligence and Law 15 (4):391-410.
    The purpose of this paper is to improve on the logical and measure-theoretic foundations for the notion of probability in the law of evidence, which were given in my contributions Åqvist [ (1990) Logical analysis of epistemic modality: an explication of the Bolding–Ekelöf degrees of evidential strength. In: Klami HT (ed) Rätt och Sanning (Law and Truth. A symposium on legal proof-theory in Uppsala May 1989). Iustus Förlag, Uppsala, pp 43–54; (1992) Towards a logical theory of legal evidence: semantic (...)
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  7.  25
    The Interpretation of Probability in the Tractatus Logico-Philosophicus.Malvina Ongaro - 2021 - Wittgenstein-Studien 12 (1):131-144.
    In this paper, I propose an assessment of the interpretation of the mathematical notion of probability that Wittgenstein presents in TLP (1963: 5.15 – 5.156). I start by presenting his definition of probability as a relation between propositions. I claim that this definition qualifies as a logical interpretation of probability, of the kind defended in the same years by J. M. Keynes. However, Wittgenstein’s interpretation seems prima facie to be safe from two standard objections (...)
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  8.  52
    Causal Interpretations of Probability.Wolfgang Pietsch - unknown
    The prospects of a causal interpretation of probability are examined. Various accounts both from the history of scientific method and from recent developments in the tradition of the method of arbitrary functions, in particular by Strevens, Rosenthal, and Abrams, are briefly introduced and assessed. I then present a specific account of causal probability with the following features: First, the link between causal probability and a particular account of induction and causation is established, namely eliminative induction and (...)
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  9.  22
    The Interpretation of Probability: Still an Open Issue? 1.Maria Carla Galavotti - 2017 - Philosophies 2 (3):20.
    Probability as understood today, namely as a quantitative notion expressible by means of a function ranging in the interval between 0–1, took shape in the mid-17th century, and presents both a mathematical and a philosophical aspect. Of these two sides, the second is by far the most controversial, and fuels a heated debate, still ongoing. After a short historical sketch of the birth and developments of probability, its major interpretations are outlined, by referring to the work of their (...)
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  10.  35
    Interpretations of Probability and Bayesian Inference—an Overview.Peter Lukan - 2020 - Acta Analytica 35 (1):129-146.
    In this article, I first give a short outline of the different interpretations of the concept of probability that emerged in the twentieth century. In what follows, I give an overview of the main problems and problematic concepts from the philosophy of probability and show how they relate to Bayesian inference. In this overview, I emphasise that the understanding of the main concepts related to different interpretations of probability influences the understanding and status of Bayesian inference. In (...)
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  11. The propensity interpretation of probability.Karl R. Popper - 1959 - British Journal for the Philosophy of Science 10 (37):25-42.
  12. Interpretations of Probability.Weimin Sun - 2003 - Dissertation, The University of Connecticut
    In this dissertation I aim to clarify the concept of probability. There are three kinds of interpretation of probability: the objective interpretation, the logical interpretation, and the subjective interpretation. The objective interpretation understands probability as a natural property that exists independently of our minds. I will clarify and defend one version of objective probability---the propensity interpretation of probability. I reject the logical interpretation of probability that treats (...) as a logical relation between evidence and hypothesis, and maintain that probability is an empirical relation. The subjective interpretation of probability, which is quite influential in recent literature, understands probability as the subject's degree of confidence that is only concerned with the states of one's mind. There are two arguments to support the claim that partial beliefs satisfy the probability measure, the Dutch Book Argument and the Representation Theorem . I argue that the subjective probability derived from both arguments is in fact the subjective estimate of objective chance, rather than subjective uncertainty of the mind assumed by subjective interpretation. The clarification of the concept of probability, I think, is of crucial importance to the studies in the philosophy of science, epistemology, and statistics. (shrink)
     
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  13.  97
    A frequentist interpretation of probability for model-based inductive inference.Aris Spanos - 2013 - Synthese 190 (9):1555-1585.
    The main objective of the paper is to propose a frequentist interpretation of probability in the context of model-based induction, anchored on the Strong Law of Large Numbers (SLLN) and justifiable on empirical grounds. It is argued that the prevailing views in philosophy of science concerning induction and the frequentist interpretation of probability are unduly influenced by enumerative induction, and the von Mises rendering, both of which are at odds with frequentist model-based induction that dominates current (...)
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  14.  53
    Interpretations of Probability in Quantum Mechanics: A Case of “Experimental Metaphysics”.Geoffrey Hellman - 2009 - In Wayne C. Myrvold & Joy Christian (eds.), Quantum Reality, Relativistic Causality, and Closing the Epistemic Circle. Springer. pp. 211--227.
  15. Statistical mechanics and the propensity interpretation of probability.Peter Clark - 2001 - In Jean Bricmont & Others (eds.), Chance in Physics: Foundations and Perspectives. Springer. pp. 271--81.
     
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  16. The Propensity Interpretation of Probability: A Re-evaluation.Joseph Berkovitz - 2015 - Erkenntnis 80 (S3):629-711.
    Single-case and long-run propensity theories are among the main objective interpretations of probability. There have been various objections to these theories, e.g. that it is difficult to explain why propensities should satisfy the probability axioms and, worse, that propensities are at odds with these axioms, that the explication of propensities is circular and accordingly not informative, and that single-case propensities are metaphysical and accordingly non-scientific. We consider various propensity theories of probability and their prospects in light of (...)
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  17.  3
    Interpretations of probability.Armin Schulz - 2010 - In Jon Williamson & Federica Russo (eds.), Key Terms in Logic. pp. 81.
    Key Terms in Logic offers the ideal introduction to this core area in the study of philosophy, providing detailed summaries of the important concepts in the study of logic and the application of logic to the rest of philosophy. A brief introduction provides context and background, while the following chapters offer detailed definitions of key terms and concepts, introductions to the work of key thinkers and lists of key texts. Designed specifically to meet the needs of students and assuming no (...)
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  18.  8
    Interpretations of probability.Armin Schulz - 2010 - In Jon Williamson & Federica Russo (eds.), Key Terms in Logic. The key terms in philosophy. London, U.K.: Continuum.
    Key Terms in Logic offers the ideal introduction to this core area in the study of philosophy, providing detailed summaries of the important concepts in the study of logic and the application of logic to the rest of philosophy. A brief introduction provides context and background, while the following chapters offer detailed definitions of key terms and concepts, introductions to the work of key thinkers and lists of key texts. Designed specifically to meet the needs of students and assuming no (...)
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  19.  9
    Interpretations of probability.Armin Schulz - 2010 - In Jon Williamson & Federica Russo (eds.), Key Terms in Logic. The key terms in philosophy. London: Continuum. pp. 81.
    Key Terms in Logic offers the ideal introduction to this core area in the study of philosophy, providing detailed summaries of the important concepts in the study of logic and the application of logic to the rest of philosophy. A brief introduction provides context and background, while the following chapters offer detailed definitions of key terms and concepts, introductions to the work of key thinkers and lists of key texts. Designed specifically to meet the needs of students and assuming no (...)
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  20. Ergodic theory, interpretations of probability and the foundations of statistical mechanics.Janneke van Lith - 2001 - Studies in History and Philosophy of Modern Physics 32 (4):581--94.
    The traditional use of ergodic theory in the foundations of equilibrium statistical mechanics is that it provides a link between thermodynamic observables and microcanonical probabilities. First of all, the ergodic theorem demonstrates the equality of microcanonical phase averages and infinite time averages (albeit for a special class of systems, and up to a measure zero set of exceptions). Secondly, one argues that actual measurements of thermodynamic quantities yield time averaged quantities, since measurements take a long time. The combination of these (...)
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  21. The emergence and interpretation of probability in Bohmian mechanics.Craig Callender - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (2):351-370.
    A persistent question about the deBroglie–Bohm interpretation of quantum mechanics concerns the understanding of Born’s rule in the theory. Where do the quantum mechanical probabilities come from? How are they to be interpreted? These are the problems of emergence and interpretation. In more than 50 years no consensus regarding the answers has been achieved. Indeed, mirroring the foundational disputes in statistical mechanics, the answers to each question are surprisingly diverse. This paper is an opinionated survey of this literature. (...)
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  22.  21
    Interpretation of Probability in Evolutionary Theory.Ryota Morimoto - 2009 - Kagaku Tetsugaku 42 (1):83-96.
  23.  10
    Interpretations of probability.Jon Williamson & Federica Russo - 2010 - In Jon Williamson & Federica Russo (eds.), Key Terms in Logic. pp. 81.
    Key Terms in Logic offers the ideal introduction to this core area in the study of philosophy, providing detailed summaries of the important concepts in the study of logic and the application of logic to the rest of philosophy. A brief introduction provides context and background, while the following chapters offer detailed definitions of key terms and concepts, introductions to the work of key thinkers and lists of key texts. Designed specifically to meet the needs of students and assuming no (...)
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  24. Group Level Interpretations of Probability: New Directions.Darrell Patrick Rowbottom - 2013 - Pacific Philosophical Quarterly 94 (2):188-203.
    In this article, I present some new group level interpretations of probability, and champion one in particular: a consensus-based variant where group degrees of belief are construed as agreed upon betting quotients rather than shared personal degrees of belief. One notable feature of the account is that it allows us to treat consensus between experts on some matter as being on the union of their relevant background information. In the course of the discussion, I also introduce a novel distinction (...)
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  25. interpretation of probabilities, 243-244 big bang, 82, 101 block universe, 112, 114,252 Bohm's theory, 51-53.I. V. Loop - 2002 - In T. Placek & J. Butterfield (eds.), Non-Locality and Modality. Kluwer Academic Publishers. pp. 343.
     
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  26.  35
    The emergence and interpretation of probability in Bohmian mechanics.Craig Callender - 2006 - Studies in History and Philosophy of Modern Physics 38 (2):351-370.
    A persistent question about the deBroglie–Bohm interpretation of quantum mechanics concerns the understanding of Born’s rule in the theory. Where do the quantum mechanical probabilities come from? How are they to be interpreted? These are the problems of emergence and interpretation. In more than 50 years no consensus regarding the answers has been achieved. Indeed, mirroring the foundational disputes in statistical mechanics, the answers to each question are surprisingly diverse. This paper is an opinionated survey of this literature. (...)
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  27.  19
    Group level interpretations of probability : new directions.Darrell Patrick Rowbottom - unknown
    In this article, I present some new group level interpretations of probability, and champion one in particular: a consensus-based variant where group degrees of belief are construed as agreed upon betting quotients rather than shared personal degrees of belief. One notable feature of the account is that it allows us to treat consensus between experts on some matter as being on the union of their relevant background information. In the course of the discussion, I also introduce a novel distinction (...)
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  28. Quantum mechanics and interpretations of probability theory.Neal Grossman - 1972 - Philosophy of Science 39 (4):451-460.
    Several philosophers of science have claimed that the conceptual difficulties of quantum mechanics can be resolved by appealing to a particular interpretation of probability theory. For example, Popper bases his treatment of quantum mechanics on the propensity interpretation of probability, and Margenau bases his treatment of quantum mechanics on the frequency interpretation of probability. The purpose of this paper is (i) to consider and reject such claims, and (ii) to discuss the question of whether (...)
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  29.  72
    Time and the propensity interpretation of probability.Niall Shanks - 1993 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 24 (2):293 - 302.
    The prime concern of this paper is with the nature of probability. It is argued that questions concerning the nature of probability are intimately linked to questions about the nature of time. The case study here concerns the single case propensity interpretation of probability. It is argued that while this interpretation of probability has a natural place in the quantum theory, the metaphysical picture of time to be found in relativity theory is incompatible with (...)
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  30.  8
    Departamento de Fisica, Facultad de Ciencias Universidad de Oviedo E-33007, Oviedo, Spain.A. Realistic Interpretation of Lattice Gauge - 1995 - In M. Ferrero & A. van der Merwe (eds.), Fundamental Problems in Quantum Physics. pp. 177.
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  31. Kleine beiträge.an Early Interpretation Of Hegel'S. & Phenomenology Of Spirit - 1989 - Hegel-Studien 24:183.
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  32. The Modern Epistemic Interpretations of Probability: Logicism and Subjectivism.Maria Carla Galavotti - 2011 - In Dov M. Gabby & John Woods (eds.), Handbook of the History of Logic: Inductive Logic. North Holland: Amsterdam. pp. 153--203.
  33. On the problem of individuaron.Maritain as an Interpreter Of Aquinas - 1996 - Sapientia 199:103.
     
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  34.  15
    On the interpretation of probabilities in generalized probabilistic models.Federico Holik, Sebastian Fortin, Gustavo Bosyk & Angelo Plastino - 2016 - In José Acacio de Barros, Bob Coecke & E. Pothos (eds.), Quantum Interaction. QI 2016. Lecture Notes in Computer Science, Vol. 10106. Springer, Cham. pp. 194-205.
    We discuss generalized pobabilistic models for which states not necessarily obey Kolmogorov's axioms of probability. We study the relationship between properties and probabilistic measures in this setting, and explore some possible interpretations of these measures.
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  35.  46
    Reductive relations in interpretations of probability.Jan Von Plato - 1981 - Synthese 48 (1):61 - 75.
  36. Dimka Gitcheva.Bulgarian Interpretations Of Ancient - 2001 - Studies in Soviet Thought 53:75-109.
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  37.  30
    Reductive relations in interpretations of probability.Jan Plato - 1981 - Synthese 48 (1):61-75.
  38.  57
    On the interpretation of probability calculi Ernest Nagel.E. Beth - 1946 - Synthese 5 (1-2):92-95.
  39.  14
    Confirmation and the intersubjective interpretation of probability.Darrell Patrick Rowbottom - unknown
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    On the Interpretation of Probability Calculi.Ernest Nagel - 1946 - Synthese 5 (1/2):92 - 93.
  41. Frequency and propensity : the interpretation of probability in causal models for medicine.Donald Gillies - 2016 - In Miriam Solomon, Jeremy R. Simon & Harold Kincaid (eds.), The Routledge Companion to Philosophy of Medicine. Routledge.
     
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  42.  11
    A Peircean Interpretation of Probability In Quantum Mechanics.Martin Macháček - 2018 - Semiotics 2018:233-241.
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  43.  13
    Frequency-Type Interpretations of Probability in Bayesian Inferences. The Case of MCMC Algorithms.Guillaume Rochefort-Maranda - unknown
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  44. The Propensity Interpretation of Fitness and the Propensity Interpretation of Probability.Isabelle Drouet & Francesca Merlin - 2015 - Erkenntnis 80 (S3):457-468.
    The paper provides a new critical perspective on the propensity interpretation of fitness, by investigating its relationship to the propensity interpretation of probability. Two main conclusions are drawn. First, the claim that fitness is a propensity cannot be understood properly: fitness is not a propensity in the sense prescribed by the propensity interpretation of probability. Second, this interpretation of probability is inessential for explanations proposed by the PIF in evolutionary biology. Consequently, interpreting the (...)
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  45. On the Proximity of the Logical and ‘Objective Bayesian’ Interpretations of Probability.Darrell Patrick Rowbottom - 2008 - Erkenntnis 69 (3):335-349.
    In his Bayesian Nets and Causality, Jon Williamson presents an ‘Objective Bayesian’ interpretation of probability, which he endeavours to distance from the logical interpretation yet associate with the subjective interpretation. In doing so, he suggests that the logical interpretation suffers from severe epistemological problems that do not affect his alternative. In this paper, I present a challenge to his analysis. First, I closely examine the relationship between the logical and ‘Objective Bayesian’ views, and show how, (...)
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  46.  44
    The Significance of the Ergodic Decomposition of Stationary Measures for the Interpretation of Probability.Jan Von Plato - 1982 - Synthese 53 (3):419 - 432.
    De Finetti's representation theorem is a special case of the ergodic decomposition of stationary probability measures. The problems of the interpretation of probabilities centred around de Finetti's theorem are extended to this more general situation. The ergodic decomposition theorem has a physical background in the ergodic theory of dynamical systems. Thereby the interpretations of probabilities in the cases of de Finetti's theorem and its generalization and in ergodic theory are systematically connected to each other.
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  47. What is Logical about the Logical Interpretation of Probability?Torfehnezhad Parzhad - 2016 - Abstracta 9 (1).
    My goal, in this paper, is to critically assess the categorization of “interpretations of probability” as it appears in the literature. In some sources only Carnap’s treatment of probability is understood to be the best example of “logical” probability. This is surprisingly narrow and I will here suggest otherwise. In fact, I believe that certain forms of Baysianism should also be included in the logical camp.
     
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  48.  43
    The significance of the ergodic decomposition of stationary measures for the interpretation of probability.Jan Plato - 1982 - Synthese 53 (3):419-432.
    De Finetti's representation theorem is a special case of the ergodic decomposition of stationary probability measures. The problems of the interpretation of probabilities centred around de Finetti's theorem are extended to this more general situation. The ergodic decomposition theorem has a physical background in the ergodic theory of dynamical systems. Thereby the interpretations of probabilities in the cases of de Finetti's theorem and its generalization and in ergodic theory are systematically connected to each other.
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  49. Vi. deconstructive interpretations of semiosis.Deconstructive Interpretations Of Semiosis - forthcoming - Semiotics.
     
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  50. Alira ashvo-Munoz.Interpretation Of Destiny - 2009 - In Anna-Teresa Tymieniecka (ed.), Existence, Historical Fabulation, Destiny. Springer Verlag. pp. 335.
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