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Cox's theorem
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{{Short description|Derivation of the laws of probability theory}} {{Bayesian statistics}} '''Cox's theorem''', named after the physicist [[Richard Threlkeld Cox]], is a derivation of the laws of [[probability theory]] from a certain set of [[postulates]].<ref>{{Cite journal | last = Cox | first = R. T. | author-link = Richard Threlkeld Cox| doi = 10.1119/1.1990764 | title = Probability, Frequency and Reasonable Expectation | journal = American Journal of Physics | volume = 14 | pages = 1β10 | year = 1946 | issue = 1 | bibcode = 1946AmJPh..14....1C }}</ref><ref>{{cite book|first=R. T. |last=Cox |author-link=Richard Threlkeld Cox |title=The Algebra of Probable Inference |publisher=Johns Hopkins University Press |location=Baltimore, MD |year=1961 }}</ref> This derivation justifies the so-called "logical" interpretation of probability, as the laws of probability derived by Cox's theorem are applicable to any proposition. Logical (also known as objective Bayesian) probability is a type of [[Bayesian probability]]. Other forms of Bayesianism, such as the subjective interpretation, are given other justifications.
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