Deriving laws from ordering relations Export

@inproceedings{citeulike:1227424, abstract = {The effect of Richard T. Cox's contribution to probability theory was to generalize Boolean implication among logical statements to degrees of implication, which are manipulated using rules derived from consistency with Boolean algebra. These rules are known as the sum rule, the product rule and Bayes' Theorem, and the measure resulting from this generalization is probability. In this paper, I will describe how Cox's technique can be further generalized to include other algebras and hence other ...}, author = {Knuth, K.}, booktitle = {Bayesian Inference and Maximum Entropy Methods in Science and Engineering, Jackson Hole WY, USA}, citeulike-article-id = {1227424}, citeulike-linkout-0 = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.58.9441}, keywords = {algebra, algorithmic-information-theory, information-theory, number-theory, order-theory, ordering, partial-order, probability-theory}, posted-at = {2007-04-15 14:30:18}, priority = {2}, title = {Deriving laws from ordering relations}, url = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.58.9441} }

TY - CONF ID - citeulike:1227424 L3 - citeulike-article-id:1227424 N2 - The effect of Richard T. Cox's contribution to probability theory was to generalize Boolean implication among logical statements to degrees of implication, which are manipulated using rules derived from consistency with Boolean algebra. These rules are known as the sum rule, the product rule and Bayes' Theorem, and the measure resulting from this generalization is probability. In this paper, I will describe how Cox's technique can be further generalized to include other algebras and hence other ... TI - Deriving laws from ordering relations T2 - Bayesian Inference and Maximum Entropy Methods in Science and Engineering, Jackson Hole WY, USA KW - algebra KW - algorithmic-information-theory KW - information-theory KW - number-theory KW - order-theory KW - ordering KW - partial-order KW - probability-theory AU - Knuth, K UR - http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.58.9441 ER -