The Logic of Decision |
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agent attributes agent's belief function agent's preference ranking applying the splitting assumption Bayesian bility card is drawn change from prob coin conditionalization conjunction consequences corresponding decision theory define degree of belief denial desirability assignment desirability axiom desirability matrix desirability scale disjunction dollars entry equation equiprobable equivalent ethically neutral Example expected desirability expression fact gamble incompatible indifferent induction infimum infinite L. J. Savage liverwurst logic necessary proposition objective observation pair prob partitioning Petersburg paradox positive number possible worlds prob A prob prob A/B prob A1 prob G prob X prob XVY proba probability and desirability probability assignment probability axioms probability matrix probability measure propo rain Ramsey's theory ratio relevant rows Rudolf Carnap satisfied sentences sequence sitions slices of G splitting procedure subjective desirability subjective probability suppose supremum tosses tuna uniqueness theorem VG(n whale steak yield heads zero