Volume 1 · The Machine Between the Ears · Essay 282

Quantitative Paradox

The more precisely we measure something, the more confidently we are wrong about what it means. The study with six decimal places convinces; the estimate rounded honestly to "about half" is doubted. Precision borrows credibility it did not earn.

The confusion is between precision and accuracy — two different virtues constantly mistaken for each other. Precision is fineness of measurement; accuracy is nearness to truth. The scale that reads your weight to three decimals while being five kilos wrong is perfectly precise and uselessly inaccurate.

The world runs on this confusion. The financial model with thirty variables. The survey quoted to a decimal. The ranking with scores in hundredths. The decimal places are often just costume jewellery on an estimate.

So when shown a precise number, ask the unfashionable questions: measured how? against what? with what error? And when giving numbers yourself, resist the seduction of false decimals. "About forty, give or take ten" sounds weaker than "37.4" — and is usually the only honest number in the room.