Pondering this a bit more … I guess Boyd sees entropy primarily as an expression of the disorder (thermodynamics), or randomness (information theory) of a system. Then, combined with the 2nd law of thermodynamics: the entropy of an isolated system always increase towards thermodynamic equilibrium implies that for the entropy to decrease (and the system to become more ordered), interaction with the environment outside the system is needed. This is central to his arguments about how to achieve interaction and isolation, or, alliances as means to survive or thrive.

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