概率解释与概率逻辑

Explanations of Logic Probability and Probabilistic Logic

对概率的解释及据此而发展起来的概率逻辑是经典逻辑的最重要的扩展之一。它在哲学、数学、认知科学、人工智能等领域有着重要的应用,一方面是这些研究领域的工具,而同时又是这些研究领域的对象。本文通过对概率的解释进行大致的分类,对由各解释发展起来的概率逻辑分别做了介绍,希望据此对概率逻辑的发展做一个梳理。

The probabilistic logic based on the explanation of the probability is one of the most impor- tant extension in the realm of the classic probabilities. It, which is regarded as the tools as well as the objects, is applied to many fields, including Philosophy, Mathematics, Cognitive Science, and Artificial Intelligence. This paper introduces all main explanations of the probabilities and all the probabi- listic logics based on them.