Chaos derives from the Greek Χάος and typically refers to unpredictability. In the metaphysical sense, it is the opposite of law and order: unrestrictive, both creative and destructive.
The word χάος did not mean "disorder" in classical-period ancient Greece. It meant "the primal emptiness, space". It is derived from the Proto-Indo-European root ghn or ghen meaning "gape, be wide open": compare "chasm" (from Greek), and Anglo-Saxon gānian (= "yawn"), geanian, ginian (= "gape wide"); see also Old Norse Ginnunga Gap. Due to people misunderstanding early Christian uses of the word, the meaning of the word changed to "disorder". (The Ancient Greek for "disorder" is ταραχη.).
Mathematically chaos means an aperiodic deterministic behavior which is very sensitive to its initial conditions, i.e. infinitesimal perturbations of boundary conditions for a chaotic dynamic system originate finite variations of the orbit in the phase space; see chaos theory
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