Bayes' theorem

Stanford Encyclopedia of Philosophy (2008)
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Abstract

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 position. Indeed, the Theorem's central insight — that a hypothesis is confirmed by any body of data that its truth renders probable — is the cornerstone of all subjectivist methodology

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James M. Joyce
University of Michigan, Ann Arbor

References found in this work

Philosophical Investigations.Ludwig Wittgenstein - 1953 - New York, NY, USA: Wiley-Blackwell. Edited by G. E. M. Anscombe.
Philosophical explanations.Robert Nozick - 1981 - Cambridge, Mass.: Harvard University Press.
The Foundations of Statistics.Leonard J. Savage - 1954 - Wiley Publications in Statistics.
Logical foundations of probability.Rudolf Carnap - 1950 - Chicago]: Chicago University of Chicago Press.
Laws and symmetry.Bas C. van Fraassen - 1989 - New York: Oxford University Press.

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