Kolmogorov Definition
In the measure-theoretic formalization of probability theory, a random variable is defined as a measurable function X from a probability space to measurable space . A probability distribution is the pushforward measure, P, satisfying X*P = PX −1 on .
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“Beauty, like all other qualities presented to human experience, is relative; and the definition of it becomes unmeaning and useless in proportion to its abstractness. To define beauty not in the most abstract, but in the most concrete terms possible, not to find a universal formula for it, but the formula which expresses most adequately this or that special manifestation of it, is the aim of the true student of aesthetics.”
—Walter Pater (18391894)