LESSON 3 · Think Like a Mathematician
Estimation at Scale
Fermi estimation scales from party tricks to professional tools. Google has famously asked Fermi questions in interviews — not to get the right answer, but because the breakdown reveals how a candidate turns ambiguity into logic.
Consulting firms use the same move. How large is the market for pet insurance in France? Start with 65 million people, estimate pet ownership, insurance adoption, and average premiums, then chain-multiply. The answer won't be exact, but it lands in the right order of magnitude.
Scientists estimate constantly too. Before funding an expensive experiment, a physicist estimates the expected signal strength to decide whether it is even worth running.