The Mathematical Foundation of Chance: Euler’s Number and the Language of Uncertainty
Probability is the universal language of uncertainty, enabling us to quantify chance in science, engineering, and everyday decisions. At the heart of modern probability lies Euler’s number *e*—approximately 2.718—whose unique properties make it indispensable in modeling growth, decay, and random processes. This article explores how *e* shapes probabilistic systems, connects to physical phenomena like rotational inertia, reveals limits of predictability through computational theory, and finds vivid expression in the mechanics of rare-event systems such as the Eye of Horus Legacy...