The Equation of Knowledge: From Bayes' Rule to a Unified Philosophy of Science, 1st Edition (Hardback) book cover

The Equation of Knowledge

From Bayes' Rule to a Unified Philosophy of Science, 1st Edition

By Lê Nguyên Hoang

Chapman and Hall/CRC

464 pages | 12 B/W Illus.

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Hardback: 9780367428150
pub: 2020-05-12
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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

Table of Contents

Sction I. Pure Bayesianism. 1. On A Transformative Journey. 2. Bayes Theorem. 3. Logically Speaking… 4. Let’s Generalize! 5. All Hail Prejudices. 6. The Bayesian Prophets. 7. Solomonoff’s Demon. Section II. Applied Bayesianism. 8. Can You Keep A Secret? 9. Game, Set and Math. 10. Will Darwin Select Bayes? 11. Exponentially Counter-Intuitive. 12. Ockham Cuts to the Chase. 13. Facts Are Misleading. Section III. Pragmatic Bayesianism. 14. Quick And Not Too Dirty. 15. Wish Me Luck. 16. Down Memory Lane. 17. Let’s Sleep On It. 18. The Unreasonable Effectiveness of Abstraction. 19. The Bayesian Brain. Section IV. Beyond Bayesianism. 20. It’s All Fictions. 21. Exploring The Origins Of Beliefs. 22. Beyond Bayesianism.

About the Author

Lê Nguyên graduated from the École Polytechnique de Montréal with a PhD in applied mathematics, before working as a post-doctoral researcher at MIT. Since 2016, he has been working as a science communicator at EPFL. He also has his own YouTube channel Science4All (in French), with over 170k subscribers.

Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / History & Philosophy
MATHEMATICS / Recreations & Games
MATHEMATICS / Probability & Statistics / Bayesian Analysis