论文标题
统一感知推理和逻辑推理
Towards Unifying Perceptual Reasoning and Logical Reasoning
论文作者
论文摘要
越来越多的科学实验支持视觉作为贝叶斯推论的观点,贝叶斯推论植根于赫尔姆霍尔茨认为是无意识的推论的看法。最近对逻辑的研究表明了逻辑推理为贝叶斯推断的观点。在本文中,我们提供了一个简单的概率模型,该模型适用于感知推理和逻辑推理。我们表明,该模型统一了感知和逻辑系统中常见的两个基本过程:一方面,感知和逻辑知识源自另一个知识的过程,另一方面,此类知识从数据中得出的过程。我们从逻辑后果关系方面充分表征了该模型。
An increasing number of scientific experiments support the view of perception as Bayesian inference, which is rooted in Helmholtz's view of perception as unconscious inference. Recent study of logic presents a view of logical reasoning as Bayesian inference. In this paper, we give a simple probabilistic model that is applicable to both perceptual reasoning and logical reasoning. We show that the model unifies the two essential processes common in perceptual and logical systems: on the one hand, the process by which perceptual and logical knowledge is derived from another knowledge, and on the other hand, the process by which such knowledge is derived from data. We fully characterise the model in terms of logical consequence relations.