Editing De Finetti's theorem (section)

=== A plain-language consequence of the theorem ===
According to [[David Spiegelhalter]] (ref 1) the theorem provides a pragmatic approach to de Finetti's statement that "Probability does not exist". If our view of the probability of a sequence of events is subjective but remains unaffected by the order in which we make our observations, then the sequence can be regarded as [[Exchangeable_random_variables|''exchangeable'']]. De Finetti's theorem then implies that believing the sequence to be exchangeable is mathematically equivalent to acting as if the events are ''independent'' and have an objective underlying probability of occurring, with our uncertainty about what that probability is being expressed by a subjective probability distribution function. According to Spiegelhalter:  ″This is remarkable: it shows that, starting from a specific, but purely subjective, expression of convictions, we should act as if events were driven by objective chances."