The term 'chaos'
seems to have appeared about the same time as the first uses of digital
computing to integrate differential equations that are not analytically
solvable. While it is true that many of these display very strange behavior,
the behavior is still __deterministic__, not random. The imperfections
in our attempts to integrate them are the source of the 'chaos'!
An __exact__ set of initial conditions completely determines the motion
that follows the starting time. The motion is __predictable__, NOT random.

The real chaos appears because we
have to try to represent the Math using digital computers. Our computers
represent a number, __any__ number, using a finite number of digits.
But __real__ numbers contain an infinite number of digits. Therefore
all computer numbers are just __approximations__ to actual values. __This__
is actual source of the randomness in 'chaos'!

The reason I don't like the term 'chaos'
is that it seems that it was invented to put a new name to an *old*
subject (non-linear differential equations). When high speed computing
became possible, the people who applied it to these equations wanted a
new, flashy term for the the subject to convince other people that they
were actually doing something radically original and revolutionary...