2022/07/10 by Nicholas Carrara, Carrara, Nicholas
Arts and Humanities · Computer Science · Physics and Astronomy · #Computability, Logic, AI Algorithms #FOS: Computer and information sciences #Other Statistics (stat.OT) #Philosophy and History of Science #Statistical Mechanics and Entropy
paper · pdf · doi:10.48550/arxiv.2207.08785
openalex publication_date 2022/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.