Do Dice Play God?: The Mathematics of Uncertainty

Stewart (Significant Figures), an emeritus mathematics professor at Warwick University, delves into the mysteries of probability and statistics in this fascinating look at chaos theory and the uncertainties of the quantum universe. He begins with the surprisingly complex probabilities that arise from dice throwing and coin tossing, but finds his most intriguing material when considering his subject’s application to real-life problems. For example, he describes how the egregious misuse of statistics resulted in the murder conviction, later overturned, of a woman who lost two children to sudden infant death syndrome. Elsewhere, he explains how statistics failed to identify the dangers of the morning sickness drug Thalidomide. Stewart’s discussion of weather as a “nonlinear system,” in which small changes in initial conditions can create large changes in resulting conditions, is effectively conveyed with a detailed explanation of the famous butterfly effect. His discussion of climate also includes concise and convincing ripostes to the common tropes of climate change skeptics. Readers interested in whether Schrödinger’s famous cat is actually dead or alive, or how uncertain Heisenberg’s uncertainty principle really is, will find in Stewart’s survey a challenging but rewarding trip through a quantum world of uncertainties. (Sept.)