Interactive Companion · Chang · Chapman & Hall / CRC · 2025

Critical Thinking and
Creative Analogies

in Statistics, Science, and Technology — Essential Skills for the AI Era

Mark Chang · Boston University · MA, USA

"The AI age is defined by the value of questions over answers, adaptability over stability, and connections over isolated knowledge."

One idea, twenty journeys

Analogies are the unseen threads connecting disparate ideas — and this book follows them across statistics, science, and technology.

With the rapid rise of AI, knowledge itself is being rethought. This book argues that the essential skills of the age are critical thinking — the rigor that checks our reasoning — and creative analogy — the leap that connects a familiar idea to an unfamiliar one. It begins with everyday paradoxes and dilemmas and builds toward bionics in AI and the creation of more human-like intelligence, showing how analogical reasoning transforms seemingly unsolvable problems into practical challenges. This companion turns the book's central ideas into things you can run yourself: throw darts to find π, watch ants discover a shortest path, feel decision paralysis in a paradox, and tune the forces of evolution and devolution.
20 interactive chapters 110+ live simulators 100% offline · runs in your browser paradox-driven · analogy-first

The book in motion

A taste of the interactive style — three ideas from the book, animating live.

π from randomness

Random darts estimate a constant — sampling as analogy for area (Ch. 1, 16).

Brownian wandering

A random walk that bridges physics, finance, and clinical trials (Ch. 12).

Intransitive cycle

A beats B beats C beats A — the paradox behind "probabilistically preferable" (Ch. 2).

Twenty chapters, all playable

Each card opens a self-contained interactive page.