These assumptions can be summarised as follows: Let (Ï, F, P) be a measure space with P(Ï) = 1. Then (Ï, F, P) is a probability space, with sample space Ï, event space F and probability measure P. An alternative approach to formalising probability, favoured by some Bayesians, is given by Cox's theorem. 1 Axioms 1.1 First axiom.
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