标度布尔代数
Scaled Boolean Algebras
摘要：
标度布尔代数是一种数学对象，它起源于试图理解为什么当概率不是被解释为频率或比例等，而是被解释为对不确定命题的置信度时，传统的概率规则应该成立。本文将这些对象的研究与激发它们的不完全数学问题分开。第一节阐述了这一问题的动机，最后一节说明了尺度布尔代数在这一问题上的应用。中间部分只涉及数学。人们希望，数学与动机问题的这种隔离使数学更加清晰。
英文摘要：
Scaled Boolean algebras are a category of mathematical objects that arose from attempts to understand why the conventional rules of probability should hold when probabilities are construed, not as frequencies or proportions or the like, but rather as degrees of belief in uncertain propositions. This paper separates the study of these objects from that not-entirely-mathematical problem that motivated them. That motivating problem is explicated in the first section, and the application of scaled Boolean algebras to it is explained in the last section. The intermediate sections deal only with the mathematics. It is hoped that this isolation of the mathematics from the motivating problem makes the mathematics clearer.
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