自然、科学、贝叶斯定理和现实的整体
Nature, Science, Bayes' Theorem, and the Whole of Reality
摘要:
科学中的一个基本问题是如何从科学数据中进行逻辑推理。仅仅数据是不够的,因为需要更多的信息来选择模型或假设的领域,从而确定每个模型或假设的可能性。托马斯贝叶斯定理将数据和先验信息与不同模型或假设相关的后验概率联系起来,因此在进行推断时识别已知数据和假设的先验信息所扮演的角色是有用的。科学家、哲学家和神学家在分析现实的不同方面时积累知识,并寻找适合各自主题的特定假设或模型。当然,一个主要目标是将各种知识整合到一个包罗万象的世界观中,以描述整个现实。
英文摘要:
A fundamental problem in science is how to make logical inferences from scientific data. Mere data does not suffice since additional information is necessary to select a domain of models or hypotheses and thus determine the likelihood of each model or hypothesis. Thomas Bayes' Theorem relates the data and prior information to posterior probabilities associated with differing models or hypotheses and thus is useful in identifying the roles played by the known data and the assumed prior information when making inferences. Scientists, philosophers, and theologians accumulate knowledge when analyzing different aspects of reality and search for particular hypotheses or models to fit their respective subject matters. Of course, a main goal is then to integrate all kinds of knowledge into an all-encompassing worldview that would describe the whole of reality.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。