The Equation of Knowledge: From Bayes' Rule to a Unified Philosophy of Science introduces readers to the Bayesian approach to science: teasing out the link between probability and knowledge.

The author strives to make this book accessible to a very broad audience, suitable for professionals, students, and academics, as well as the enthusiastic amateur scientist/mathematician.

This book also shows how Bayesianism sheds new light on nearly all areas of knowledge, from philosophy to mathematics, science and engineering, but also law, politics and everyday decision-making.

Bayesian thinking is an important topic for research, which has seen dramatic progress in the recent years, and has a significant role to play in the understanding and development of AI and Machine Learning, among many other things. This book seeks to act as a tool for proselytising the benefits and limits of Bayesianism to a wider public.


  • Presents the Bayesian approach as a unifying scientific method for a wide range of topics
  • Suitable for a broad audience, including professionals, students, and academics
  • Provides a more accessible, philosophical introduction to the subject that is offered elsewhere

section I|128 pages

Pure Bayesianism

chapter Chapter 1|14 pages

On A Transformative Journey

chapter Chapter 2|16 pages

Bayes’ Theorem

chapter Chapter 3|16 pages

Logically Speaking …

chapter Chapter 4|19 pages

Let's Generalize!

chapter Chapter 5|20 pages

All Hail Prejudices

chapter Chapter 6|19 pages

The Bayesian Prophets

chapter Chapter 7|20 pages

Solomonoff's Demon

section II|117 pages

Applied Bayesianism

chapter Chapter 8|17 pages

Can You Keep A Secret?

chapter Chapter 9|17 pages

Game, Set and Math

chapter Chapter 10|20 pages

Will Darwin Select Bayes?

chapter Chapter 11|19 pages

Exponentially Counterintuitive

chapter Chapter 12|18 pages

Ockham Cuts to the Chase

chapter Chapter 13|21 pages

Facts Are Misleading

section III|126 pages

Pragmatic Bayesianism

chapter Chapter 14|19 pages

Quick And Not Too Dirty

chapter Chapter 15|21 pages

Wish Me Luck

chapter Chapter 16|20 pages

Down Memory Lane

chapter Chapter 17|23 pages

Let's Sleep on It

chapter Chapter 18|19 pages

The Unreasonable Effectiveness of Abstraction

chapter Chapter 19|18 pages

The Bayesian Brain

section IV|61 pages

Beyond Bayesianism

chapter Chapter 20|18 pages

It's All Fiction

chapter Chapter 21|19 pages

Exploring The Origins of Beliefs

chapter Chapter 22|21 pages

Beyond Bayesianism