In the late 18th century, a monumental shift occurred: the rigorous mathematical tools used to map the starsβspecifically trigonometry, logarithms, and probabilityβwere aimed inward at human society. This movement, known as physique social (social physics), proposed that the chaotic behavior of individuals could be quantified into predictable patterns for the collective.
The Laplace Methodology
Pierre-Simon Laplace revolutionized social measurement by proving we don't need a total headcount to understand a nation. Laplace's method called for taking a random sample from a diversified group of thirty dΓ©partements and using the sample as the basis for estimating the total population.
Random vs. Systematic Error
A central tenet of this new science was the logic of observation error. The pioneers realized: If the differences were random, the data would look about the same each time a sample was taken; if the differences were systematic, each sample would look different from the others. Randomness implied stability in the model, while systematic differences signaled that the groups were fundamentally distinct, requiring a new analysis of underlying causes (like localized famine or wealth).