Chaos

Chaos (kā`ōs), in Greek religion and mythology, vacant, unfathomable space. From it arose all things, earthly and divine. There are various legends explaining it. In one version, Eurynome rose out of Chaos and created all things. In another, Gaea sprang from Chaos and was the mother of all things. Eventually the word chaos came to mean a great confusion of matter out of which a supreme being created all life.

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Chaos

In Greek cosmology, either the primeval emptiness before things came into being or the abyss of Tartarus, the underworld. In Hesiod's Theogony, there was first Chaos, then Gaea and Eros. The offspring of Chaos were Erebus (Darkness) and Nyx (Night). Ovid gave Chaos its modern meaning: the original formless and disordered mass from which the ordered universe is created. The early church fathers applied this interpretation to the creation story in Genesis.

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The science that deals with the underlying order of the seemingly random nature of the universe. See fractals.

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(mathematics)

chaos - A property of some non-linear dynamic systems which exhibit sensitive dependence on initial conditions. This means that there are initial states which evolve within some finite time to states whose separation in one or more dimensions of state space depends, in an average sense, exponentially on their initial separation. Such systems may still be completely deterministic in that any future state of the system depends only on the initial conditions and the equations describing the change of the system with time. It may, however, require arbitrarily high precision to actually calculate a future state to within some finite precision. ["On defining chaos", R. Glynn Holt <rgholt@voyager.jpl.nasa.gov> and D. Lynn Holt <lholt@seraph1.sewanee.edu>. ftp://mrcnext.cso.uiuc.edu/pub/etext/ippe/preprints/Phil_of_Science/Holt_and_Holt.On_Defining_Chaos] Fixed precision floating-point arithmetic, as used by most computers, may actually introduce chaotic dependence on initial conditions due to the accumulation of rounding errors (which constitutes a non-linear system).