id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
work_pjmsutfu5vadzfmd3jwte2guuy	P. Bartha	Countable Additivity and the de Finetti Lottery	2004	21	.pdf	application/pdf	9569	829	69	probability distribution over a countably infinite set, such as natural numbers. probability to each ticket's winning if we accept countable additivity. This argument shows that if we assign a standard real-valued betting quotient to the proposition that ticket i wins, for each i, then these betting quotients must sum to 1 on pain of vulnerability to a Dutch Book. If the issue is whether all subjective probabilistic reasoning must always be constrained by countable additivity (assuming that Dutch Book arguments are normative for subjective probability), relative subjective probabilities, so that countable additivity just does not The basic idea of using symmetries to define a relation of relative probability is as follows. equiprobability and, more generally, relative probability on pairs of sets of symmetries induces well-defined relations of relative probability and equiprobability. countable additivity does not apply to cases such as the de Finetti lottery, that a commutative group of symmetries yields a well-defined relative probability function.	./cache/work_pjmsutfu5vadzfmd3jwte2guuy.pdf	./txt/work_pjmsutfu5vadzfmd3jwte2guuy.txt