Stein J.D. The Fate of Schrodinger's Cat: Using Math and Computers to Explore the Counterintuitive

Singapore: World Scientific Publishing Company, 2020. — 170 p. — (Problem Solving in Mathematics and Beyond, 17). — ISBN 9811218153.Can we correctly predict the flip of a fair coin more than half the time — or the decay of a single radioactive atom ? Our intuition, based on a lifetime of experience, tells us that we cannot, as these are classic examples of what are known to be 50–50 guesses. But mathematics is filled with counterintuitive results — and this book discusses some surprising and entertaining examples. It is possible to devise experiments in which a flipped coin lands heads completely at random half the time, but we can also correctly predict when it will land heads more than half the time. The Fate of Schrodinger's Cat shows how high-school algebra and basic probability theory, with the invaluable assistance of computer simulations, can be used to investigate both the intuitive and the counterintuitive. This book explores fascinating and controversial questions involving prediction, decision-making, and statistical analysis in a number of diverse areas, ranging from whether there is such a thing as a "hot hand" in shooting a basketball, to how we can successfully predict, more than half the time, the decay of the radioactive atom that determines the fate of Schrodinger's Cat.True PDF