id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
work_ig6yrm33wnh77o6z6dpnc7edbq	John D. Norton	Disbelief as the Dual of Belief	2007	28	.pdf	application/pdf	8596	820	71	that represents belief there corresponds a dual additive measure that represents measures are not self-dual, the epistemic state of complete ignorance is represented by the unique, monotonic, non-additive measure that is self-dual in its individually or sets of additive probability measures, whether convex or not, all fail to be selfdual and so are not admissible as representations of complete ignorance. Unlike the algebra of propositions, the theory of additive measures is not self-dual. are mapped onto the axioms (3) of the dual additive measures, which contradict (2). then a dual additive measure M represents degrees of disbelief. The two maps are analogous in so far as (7) assigns to each measure of belief m a dual It follows immediately that no additive measure can represent a state of complete ignorance. no additive measure can be its own dual, even in its contingent propositions only.10 While the mapped to the corresponding set of additive dual measures, {Mi}.	./cache/work_ig6yrm33wnh77o6z6dpnc7edbq.pdf	./txt/work_ig6yrm33wnh77o6z6dpnc7edbq.txt