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Specifically: It's more-or-less true that processes that tend
to increase the disorder also tend to increase the entropy.
The process of /stirring/ is an example. Shuffling a deck of
cards is another example. This is, alas, treacherous, as we
can see by considering processes that go in the other direction.
There are plenty of processes that decrease the entropy but do
*not* decrease the disorder. A classic example is peeking at the
deck of cards after it has been shuffled; the disorder remains
large but the entropy goes instantly to zero.
One problem with any discussion of disorder is the lack of any
agreed-upon way to quantify the disorder.
It turns out that most of the things we consider to be highly
disordered also have high algorithmic complexity. So we have
nothing to lose and much to gain by talking about complexity
instead of disorder.