论文标题

推理框架

The Inference Framework

论文作者

Carrara, Nicholas

论文摘要

以下三个部分和附录取自我的论文“推论的基础及其在基本物理学上的应用”,从2021年开始,我从第一原理中构建了熵推断的理论。这些章节中的大多数不是原始的,而是主题历史上各种来源的集合。第一部分涉及演绎推理,这是在存在完整信息的情况下推断。第二部分通过构建归纳推理理论,即概率理论,在存在不完整的信息的情况下推断出来。最后,第三节开发了一种以约束形式出现的新信息的情况来更新这些概率的方法。

The following three sections and appendices are taken from my thesis "The Foundations of Inference and its Application to Fundamental Physics" from 2021, in which I construct a theory of entropic inference from first principles. The majority of these chapters are not original, but are a collection of various sources through the history of the subject. The first section deals with deductive reasoning, which is inference in the presence of complete information. The second section expands on the deductive system by constructing a theory of inductive inference, a theory of probabilities, which is inference in the presence of incomplete information. Finally, section three develops a means of updating these probabilities in the presence of new information that comes in the form of constraints.

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