An Introduction to Probability and Inductive Logic by Ian Hacking – A Complete Course on Probability, Induction and Decision Theory

Introduction

Probability and induction sit at the heart of how we reason about an uncertain world, yet the philosophical foundations behind these ideas are often left unexamined even by those who use them daily. An Introduction to Probability and Inductive Logic by Ian Hacking, one of the world's foremost philosophers of science, offers a genuinely accessible way into this foundational material.

Book Overview

Designed to be maximally accessible to the widest range of students, not only those majoring in philosophy, the book assumes no formal training in elementary symbolic logic. Hacking builds a comprehensive course covering all the basic definitions of induction and probability, moving through decision theory, Bayesianism, frequency-based approaches, and the classic philosophical problem of induction itself.

Key Highlights

• Written by Ian Hacking, one of the world's leading philosophers of science.
• Assumes no prior formal training in symbolic logic.
• Covers decision theory, Bayesianism and frequency-based probability.
• Addresses the classic philosophical problem of induction.
• Includes a rich supply of exercises drawn from real-world fields.
• Features numerous brief historical accounts of how these ideas developed.

Inside the Book

The book is organised to build understanding progressively, starting with basic definitions before advancing into more sophisticated territory. Hacking's writing is noted for its lively, vigorous prose and lucid, systematic organisation, qualities that make dense philosophical and mathematical material feel approachable rather than intimidating.

Key Topics

Readers will study the foundational definitions of probability and induction, decision theory as a framework for reasoning under uncertainty, Bayesian approaches to updating belief in light of evidence, and frequency-based interpretations of probability. Exercises throughout draw on examples from psychology, ecology, economics, bioethics, engineering and political science, showing how these abstract ideas apply across many disciplines. The book also traces brief historical accounts of how core ideas in probability and induction actually developed over time.

Reader Benefits

• Build a solid conceptual foundation in probability and inductive reasoning.
• Understand Bayesian and frequency-based approaches to probability.
• Apply decision theory to real-world reasoning under uncertainty.
• Practice with exercises spanning multiple academic disciplines.
• Gain historical context for how these foundational ideas emerged.
• Develop rigorous reasoning skills applicable well beyond philosophy.

Learning Outcomes

By working through this book, readers will be able to apply basic probability and decision theory to practical problems, critically evaluate Bayesian and frequency-based reasoning, and engage thoughtfully with the philosophical problem of induction. The wide-ranging exercises help translate abstract theory into practical, disciplined analytical skill.

Who Should Read

• Philosophy students studying logic, epistemology or philosophy of science.
• Science and social science students needing a foundation in probability.
• Economics, psychology and engineering students applying probabilistic reasoning.
• Anyone curious about the philosophical foundations of decision-making.
• Educators teaching introductory logic or philosophy of science courses.

About the Author

Ian Hacking was one of the world's foremost philosophers of science, renowned for work spanning the philosophy of probability, statistics, and the history and philosophy of scientific reasoning. His writing consistently combines rigorous argument with genuine clarity, making complex philosophical material accessible to a wide range of readers.

About the Publisher

This book is published by Cambridge University Press, one of the world's most respected academic publishers, known for authoritative textbooks across philosophy, science and mathematics.

Conclusion

An Introduction to Probability and Inductive Logic remains a trusted, accessible course text for anyone wanting to genuinely understand the foundations of probabilistic and inductive reasoning. Ian Hacking's clarity and rigour make this a rewarding read for students across many disciplines, not just philosophy.