How Not to Be Wrong: The Power of Mathematical Thinking
Discover how to weaponize mathematical logic to navigate the hidden pitfalls of everyday life, from interpreting political spin to managing financial risks. By mastering these principles, you’ll transform abstract numbers into a powerful toolkit for making smarter decisions and seeing the world with unparalleled clarity.
The Power of Nonlinearity
Mathematical thinking begins by questioning the assumption that things move in straight lines. We explore how to see what is missing and why 'more' isn't always 'better'.
The Survivorship Bias
The Fallacy of Linearity
Danger of Extrapolation
Making Sense of Randomness
Randomness often mimics patterns. This chapter teaches how to distinguish genuine signals from the inevitable noise of a chaotic world.
The Baltimore Stockbroker
The Bible Code Illusion
The Null Hypothesis
The P-Value Problem
The Arithmetic of Expectation
Life is a series of gambles. We look at how 'expected value' helps us make rational decisions about money, risk, and even faith.
Understanding Expected Value
The Lottery Scandal
Pascal's Wager Revisited
Law of Large Numbers
The Mystery of Regression
Exploring why extraordinary events are usually followed by ordinary ones, and why we often confuse this natural return with causation.
Regression to the Mean
Galton's Discovery
Correlation is Not Causation
Thinking with Big Data
In an era of massive information, mathematical thinking acts as a filter to prevent us from drawing the wrong conclusions from big numbers.
The Law of Small Numbers
Torturing the Data
Bayesian Updating
The Mathematics of Democracy
Math reveals that there is no perfect way to aggregate individual preferences into a single 'will of the people'.
Condorcet's Paradox
Arrow's Impossibility Theorem
Gerrymandering Geometry
The Limits of Logic
We conclude by examining what math can and cannot prove, and how to apply this rigor to our daily lives.
Formalism and Axioms
Reductio ad Absurdum
How to Be Right
Start reading with AI
Interactive Socratic dialogue, level by level