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Axioms of Probability Theory

Here is a set of axioms for probability theory equivalent to those derived by Cox (and also compatible with other axiomatizations of probability, such as the Kolmogorov axioms):

image\axioms_prob.gif

where P(x,y|z) means the probability that propositions x and y are both true, given that proposition z is true.

See also Fundamental Theorems of Probability.

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