Nature, Science, Bayes' Theorem, and the Whole of Reality

TL;DR

This paper discusses how Bayes' Theorem is fundamental for scientific inference, integrating data and prior knowledge to understand reality across various disciplines.

Contribution

It highlights the importance of Bayesian reasoning in unifying scientific, philosophical, and theological perspectives on reality.

Findings

Bayes' Theorem links data and prior information to infer models.

Bayesian methods are essential for integrating diverse knowledge.

The paper emphasizes the role of Bayesian inference in understanding the whole of reality.

Abstract

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.