## Results for 'Bayes’ theorem'

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1. Bayes' theorem.James Joyce - 2008 - Stanford Encyclopedia of Philosophy.
Bayes' Theorem is a simple mathematical formula used for calculating conditional probabilities. It figures prominently in subjectivist or Bayesian approaches to epistemology, statistics, and inductive logic. Subjectivists, who maintain that rational belief is governed by the laws of probability, lean heavily on conditional probabilities in their theories of evidence and their models of empirical learning. Bayes' Theorem is central to these enterprises both because it simplifies the calculation of conditional probabilities and because it clarifies significant features of subjectivist (...)

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2. Bayes' Theorem.Edward N. Zalta - 2008 - In Edward Zalta (ed.), Stanford Encyclopedia of Philosophy.

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3. Bayes' Theorem.Richard Swinburne - 2004 - Revue Philosophique de la France Et de l'Etranger 194 (2):250-251.
Richard Swinburne: Introduction Elliott Sober: Bayesianism - its scopes and limits Colin Howson: Bayesianism in Statistics A P Dawid: Bayes's Theorem and Weighing Evidence by Juries John Earman: Bayes, Hume, Price, and Miracles David Miller: Propensities May Satisfy Bayes's Theorem 'An Essay Towards Solving a Problem in the Doctrine of Chances' by Thomas Bayes, presented to the Royal Society by Richard Price. Preceded by a historical introduction by G A Barnard.

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4. A fundamental problem in science is how to make logical inferences from scientiﬁc data. Mere data does not suﬃce since additional information is necessary to select a domain of models or hypotheses and thus determine the likelihood of each model or hypothesis. Thomas Bayes’ Theorem relates the data and prior information to posterior probabilities associated with diﬀering models or hypotheses and thus is useful in identifying the roles played by the known data and the assumed prior information when making (...)

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5. Bayes' theorem.Russell A. Poldrack - 2006 - Trends in Cognitive Sciences 10 (2):59-63.

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6. Application of Bayes' Theorem in Valuating Depression Tests Performance.Marco Tommasi, Grazia Ferrara & Aristide Saggino - 2018 - Frontiers in Psychology 9.

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7. Bell's theorem and Bayes' theorem.A. J. M. Garrett - 1990 - Foundations of Physics 20 (12):1475-1512.
Bell's theorem is expounded as an analysis in Bayesian probabilistic inference. Assume that the result of a spin measurement on a spin-1/2 particle is governed by a variable internal to the particle (local, “hidden”), and examine pairs of particles having zero combined angular momentum so that their internal variables are correlated: knowing something about the internal variable of one tells us something about that of the other. By measuring the spin of one particle, we infer something about its internal (...)

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8. An Application of Bayes' Theorem to Population Genetics Commentary.L. Seymour - 2000 - Poznan Studies in the Philosophy of the Sciences and the Humanities 71:136-151.

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9. " Bell's theorem and Bayes' theorem," Found Phys. 20, 1475-1512 (1990).A. J. M. Garrett - 1991 - Foundations of Physics 21 (6).

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10. Statistical Approach Involving Bayes' Theorem and the Estimation of the Prior Distribution.Hirosi Hudimoto - 1971 - Annals of the Japan Association for Philosophy of Science 4 (1):35-45.

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11. An Application of Bayes' Theorem to Population Genetics.Robert B. Gardner & M. C. Wooten - 2000 - Poznan Studies in the Philosophy of the Sciences and the Humanities 71:136-151.

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12. Confirmation of Standards of Proof through Bayes Theorem.Mirko Pečarič - 2020 - Archiv Fuer Rechts Und Sozialphilosophie 106 (4):532-553.
Legal reasoning on the requirements and application of law has been studied for centuries, but in this subject area the legal profession maintains predominantly the same stance it did in the time of the Ancient Greeks. There is a gap between the standards of proof, one which has been always demonstrated by percentages and in terms of the evaluation of these standards by percentages by mathematical or statistical methods. One method to fill the gap is Bayes theorem that describes (...)
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13. Bayes or Laplace? An examination of the origin and early applications of Bayes' theorem.A. I. Dale - 1982 - Archive for History of Exact Sciences 27 (1):23-47.
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14. Subjectivity of pre-test probability value: controversies over the use of Bayes’ Theorem in medical diagnosis.Tomasz Rzepiński - forthcoming - Theoretical Medicine and Bioethics:1-24.
This article discusses the use of Bayes’ Theorem in medical diagnosis with a view to examining the epistemological problems of interpreting the concept of pre-test probability value. It is generally maintained that pre-test probability values are determined subjectively. Accordingly, this paper investigates three main philosophical interpretations of probability (the “classic” one, based on the principle of non-sufficient reason, the frequentist one, and the personalistic one). This study argues that using Bayes’ Theorem in medical diagnosis does not require accepting (...)

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16. I. The Condorcet Formula and Bayes' Theorem.Timothy McGreiv & Lydia McGreiv - 2012 - In Jake Chandler Victoria S. Harrison (ed.), Probability in the Philosophy of Religion. Oxford University Press. pp. 46.

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17. Does the environment have the same structure as Bayes' theorem?Gerd Gigerenzer - 1991 - Behavioral and Brain Sciences 14 (3):495-496.

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18. Bayes's Theorem.Richard Swinburne (ed.) - 2002 - Oxford and New York: Oxford University Press UK.
Bayes's theorem is a tool for assessing how probable evidence makes some hypothesis. The papers in this volume consider the worth and applicability of the theorem. Richard Swinburne sets out the philosophical issues. Elliott Sober argues that there are other criteria for assessing hypotheses. Colin Howson, Philip Dawid and John Earman consider how the theorem can be used in statistical science, in weighing evidence in criminal trials, and in assessing evidence for the occurrence of miracles. David Miller (...)

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19. Bayes's theorem[REVIEW]Massimo Pigliucci - 2005 - Quarterly Review of Biology 80 (1):93-95.

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20. Bayes's Theorem.E. Eells - 2008 - Gogoa 8 (1):138.
In introducing the papers of the symposiasts, I distinguish between statistical, physical, and evidential probability. The axioms of the probability calculus and so Bayes’s theorem can be expressed in terms of any of these kinds of probability. Sober questions the general utility of the theorem. Howson, Dawid, and Earman agree that it applies to the fields they discuss--statistics, assessment of guilt by juries, and miracles. Dawid and Earman consider that prior probabilities need to be supplied by empirical (...)

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21. Bayes's theorem and weighing evidence by juries.A. P. Dawid - 2002 - In Bayes's Theorem. pp. 71-90.

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22. Bayes's Theorem.Ellery Eells - 2004 - Mind 113 (451):591-596.

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23. Bays, Steiner, and Wittgenstein’s “Notorious” Paragraph about the Gödel Theorem.Juliet Floyd & Hilary Putnam - 2006 - Journal of Philosophy 103 (2):101-110.

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24. Bayes's Theorem.Branden Fitelson - unknown
This is a high quality, concise collection of articles on the foundations of probability and statistics. Its editor, Richard Swinburne, has collected five papers by contemporary leaders in the field, written a pretty thorough and even-handed introductory essay, and placed a very clean and accessible version of Reverend Thomas Bayes’s famous essay (“An Essay Towards the Solving a Problem in the Doctrine of Chances”) at the end, as an Appendix (with a brief historical introduction by the noted statistician G.A. (...)

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25. Bays, Steiner, and Wittgenstein’s “Notorious” Paragraph about the Gödel Theorem.Hilary Putnam - 2006 - Journal of Philosophy 103 (2):101-110.

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26. Bayes’s Theorem: Proceedings of the British Academy, vol. 113.Alan R. Rhoda - 2005 - International Philosophical Quarterly 45 (2):269-270.

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27. Bayes’s Theorem: Proceedings of the British Academy, vol. 113. [REVIEW]Alan R. Rhoda - 2005 - International Philosophical Quarterly 45 (2):269-270.

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29. Bayes's Theorem and Reliability: A Reply to Levin.David Sherry - 2005 - Informal Logic 25 (2):167-177.

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31. Bayes's theorem (proceedings of the british academy, vol. 113), edited by Richard Swinburne, oxford university press, 2002, 160 pages. [REVIEW]Paul Anand - 2005 - Economics and Philosophy 21 (1):139-142.

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32. Thomas' theorem meets Bayes' rule: a model of the iterated learning of language.Vanessa Ferdinand & Willem Zuidema - 2009 - In N. A. Taatgen & H. van Rijn (eds.), Proceedings of the 31st Annual Conference of the Cognitive Science Society. pp. 1786--1791.

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33. Baye's theorem.Ronald Aylmer Fisher - 1926 - The Eugenics Review 18 (1):32.

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34. Beth's theorem and deflationism.Timothy Bays - 2009 - Mind 118 (472):1061-1073.
In 1999, Jeffrey Ketland published a paper which posed a series of technical problems for deflationary theories of truth. Ketland argued that deflationism is incompatible with standard mathematical formalizations of truth, and he claimed that alternate deflationary formalizations are unable to explain some central uses of the truth predicate in mathematics. He also used Beth’s definability theorem to argue that, contrary to deflationists’ claims, the T-schema cannot provide an ‘implicit definition’ of truth. In this article, I want to challenge (...)

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35. Introduction to Bayes's Theorem.Richard Swinburne - 2002 - In Bayes’s Theorem. Oxford University Press.
This is an introduction to a collected volume. It distinguishes between evidential, statistical, and physical probability, and between objective and subjective understandings of evidential probability, in the use of Bayes’s theorem. If Bayes’s theorem is to be used to assess an objective evidential probability, a priori criteria--mainly the criterion of simplicity--are required to determine prior probability. The five main contributors to the volume discuss the use of Bayes’s theorem to assess the evidential probability of (...)

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36. A Misuse of Bayes's Theorem.Michael Levin - 1999 - Informal Logic 19 (1).
In this paper I identify a fallacy. The fallacy is worth noting for practical and theoretical reasons. First, the rampant occurrences ofthis fallacy-especially at moments calling for careful thought-indicate that it is more pernicious to clear thinking than many of those found in standard logic texts. Second, the fallacy stands apart from most others in that it contains multiple kinds oflogical error (i.e., fallacious and non-fallacious logical errors) that are themselves committed in abnormal ways, and thus it presents a two-tiered (...)

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37. Beth's theorem and deflationism — reply to Bays.Jeffrey Ketland - 2009 - Mind 118 (472):1075-1079.
Is the restricted, consistent, version of the T-scheme sufficient for an ‘implicit definition’ of truth? In a sense, the answer is yes (Haack 1978 , Quine 1953 ). Section 4 of Ketland 1999 mentions this but gives a result saying that the T-scheme does not implicitly define truth in the stronger sense relevant for Beth’s Definability Theorem. This insinuates that the T-scheme fares worse than the compositional truth theory as an implicit definition. However, the insinuation is mistaken. For, as (...)

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38. Propensities may satisfy Bayes's theorem.David Miller - 2002 - In Bayes's Theorem. pp. 111-116.

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39. Hume's knowledge of Bayes's theorem.David Raynor - 1980 - Philosophical Studies 38 (1):105 - 106.

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40. Two Cheers for Bayes's Theorem.Tim McGrew - 1995 - Analysis 55 (2):123 - 125.

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41. Hypothesis testing and theory evaluation at the boundaries: Surprising insights from Bayes's theorem.David Trafimow - 2003 - Psychological Review 110 (3):526-535.

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42. No one knows the date or the hour: An unorthodox application of rev. Bayes's theorem.Paul Bartha & Christopher Hitchcock - 1999 - Philosophy of Science 66 (3):353.
Carter and Leslie (1996) have argued, using Bayes's theorem, that our being alive now supports the hypothesis of an early 'Doomsday'. Unlike some critics (Eckhardt 1997), we accept their argument in part: given that we exist, our existence now indeed favors 'Doom sooner' over 'Doom later'. The very fact of our existence, however, favors 'Doom later'. In simple cases, a hypothetical approach to the problem of 'old evidence' shows that these two effects cancel out: our existence now yields no (...)

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43. Bayes and Bust: Simplicity as a Problem for a Probabilist’s Approach to Confirmation. [REVIEW]Malcolm R. Forster - 1995 - British Journal for the Philosophy of Science 46 (3):399-424.
The central problem with Bayesian philosophy of science is that it cannot take account of the relevance of simplicity and unification to confirmation, induction, and scientific inference. The standard Bayesian folklore about factoring simplicity into the priors, and convergence theorems as a way of grounding their objectivity are some of the myths that Earman's book does not address adequately. 1Review of John Earman: Bayes or Bust?, Cambridge, MA. MIT Press, 1992, £33.75cloth.

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44. Review of Richard Swinburne (ed.), Bayes's Theorem[REVIEW]Branden Fitelson - 2003 - Notre Dame Philosophical Reviews 2003 (11).

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45. Bayes, Hume, Price, and Miracles.John Earman - 2002 - In Richard Swinburne (ed.), Bayes’s Theorem. Oxford University Press. pp. 91--110.
This chapter discusses the Bayesian analysis of miracles. It is set in the context of the eighteenth-century debate on miracles. The discussion is focused on the probable response of Thomas Bayes to David Hume's celebrated argument against miracles. The chapter presents the claim that the criticisms Richard Price made against Hume's argument against miracles were largely solid.

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46. Skolem's Paradox.Timothy Bays - 2009 - In Edward N. Zalta (ed.), Stanford Encyclopedia of Philosophy.
Skolem's Paradox involves a seeming conflict between two theorems from classical logic. The Löwenheim Skolem theorem says that if a first order theory has infinite models, then it has models whose domains are only countable. Cantor's theorem says that some sets are uncountable. Skolem's Paradox arises when we notice that the basic principles of Cantorian set theory—i.e., the very principles used to prove Cantor's theorem on the existence of uncountable sets—can themselves be formulated as a collection of (...)

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47. Reflections on Skolem's Paradox.Timothy Bays - 2000 - Dissertation, University of California, Los Angeles
The Lowenheim-Skolem theorems say that if a first-order theory has infinite models, then it has models which are only countably infinite. Cantor's theorem says that some sets are uncountable. Together, these theorems induce a puzzle known as Skolem's Paradox: the very axioms of set theory which prove the existence of uncountable sets can be satisfied by a merely countable model. ;This dissertation examines Skolem's Paradox from three perspectives. After a brief introduction, chapters two and three examine several formulations of (...)

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48. On Floyd and Putnam on Wittgenstein on Gödel.Timothy Bays - 2004 - Journal of Philosophy 101 (4):197 - 210.
odel’s theorem than he has often been credited with. Substantively, they find in Wittgenstein’s remarks “a philosophical claim of great interest,” and they argue that, when this claim is properly assessed, it helps to vindicate some of Wittgenstein’s broader views on G¨.

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49. The Appraisal of Theories: Kuhn Meets Bayes.Wesley C. Salmon - 1990 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1990:325 - 332.
This paper claims that adoption of Bayes's theorem as the schema for the appraisal of scientific theories can greatly reduce the distance between Kuhnians and logical empiricists. It is argued that plausibility considerations, which Kuhn considered outside of the logic of science, can be construed as prior probabilities, which play an indispensable role in the logic of science. Problems concerning likelihoods, especially the likelihood on the "catchall," are also considered. Severe difficulties concerning the significance of this probability arise in (...)