History

Who was Enrico Fermi?

On a July morning in 1945, a physicist stood in the New Mexico desert, tore up a sheet of paper, and measured the most powerful explosion in human history with his hands. It worked.

Enrico Fermi (1901–1954) was one of the twentieth century’s most complete physicists: a rare figure who was world-class as both a theorist and an experimenter, at a time when the two were already drifting apart. He won the Nobel Prize in Physics in 1938, fled fascist Italy immediately afterwards — his wife Laura was Jewish, and Mussolini’s racial laws had just been enacted — and built the world’s first nuclear reactor under the football stands at the University of Chicago in 1942.

He is remembered by physicists for the reactor, the Nobel, and the statistics that bear his name. He is remembered by everyone else for a habit: he could not stop estimating things.

The desert, July 1945

The Trinity test was the first detonation of a nuclear weapon. Nobody knew what it would do. The scientists who built the device had placed bets on its yield ranging from a total dud to something that would dwarf every explosion in history.

Fermi stationed himself about ten miles from the tower with a handful of torn-up paper. When the shock wave arrived, he dropped the scraps and watched how far the blast pushed them sideways before they hit the ground. From that displacement he worked out, on the spot, roughly how much energy the wave carried.

~10 kilotons vs 21 kilotons Fermi’s on-the-spot paper-drop estimate, against the accepted yield determined later by instruments and analysis.

He was low by a factor of two. Sophisticated instrumentation and weeks of analysis were required to produce the better figure. Fermi got the right order of magnitude in the time it took paper to fall, using equipment he could have bought at a stationery shop.

The lesson was not that instruments are unnecessary. It was that a person who reasons well can produce a useful number immediately — and that a number now often beats a better number later.

The teaching habit

At Chicago, Fermi was notorious for ambushing students with questions that had no lookup-able answer. How many piano tuners work in this city? How many atoms of Julius Caesar’s last breath are in this room? How much does the Earth weigh?

Students would protest that they didn’t have the data. That was the point. Fermi wanted them to discover that the data was mostly already in their heads, waiting to be assembled — and that a physicist unable to produce a rough number without a reference book was a physicist unable to sanity-check their own work.

These became known as Fermi problems, and they are still standard training in physics and engineering programmes, still asked in job interviews, and still the fastest way to find out whether someone can think or merely recall.

The other famous question

Fermi’s name is attached to one more piece of estimation, and it is the one that has escaped physics entirely.

Over lunch at Los Alamos in 1950, the conversation turned to flying saucers and the possibility of alien life. Fermi, after some silence, is reported to have asked: where is everybody?

The reasoning behind the question is pure estimation. There are hundreds of billions of stars in our galaxy, many with planets, and the galaxy is billions of years old — old enough for a civilisation with even modest ambitions to have spread across it many times over. Multiply the plausible numbers together and you get an expectation of visible neighbours. The sky, so far as we can tell, is silent.

That gap between the estimate and the observation is the Fermi paradox, and it remains genuinely unresolved. It is also the best demonstration of why estimation matters: the calculation didn’t answer a question, it revealed that something we thought we understood doesn’t add up. A rough number, done honestly, can be more valuable when it fails than when it succeeds.

What to steal from him

You are unlikely to need to measure a nuclear detonation. The transferable habit is smaller and more useful: produce a number before you look one up.

Fermi did this constantly, on trivial things, for decades. It kept his intuition calibrated, so that when a genuinely important number crossed his desk he could tell immediately whether it smelled right. Anyone can build that. It costs a few seconds a day and it compounds.

Fermi’s habit — guess first, verify later — is the whole idea behind Zoggle. Three questions a day, one guess each, answers revealed with the reasoning.