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Caspian comments on Causal Diagrams and Causal Models - Less Wrong
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It's unlikely that two effects will randomly cancel out unless the situation is the result of some optimizing process. This is the case in Milton Friedman's thermostat but doesn't appear to be the case in your example.
I had meant to suggest some sort of unintelligent feedback system. Not coincidence, but also not an intelligent optimisation, so still not an exact parallel to his thermostat.
The thermostat was created by an intelligent human.
I never said the optimizing process had to be that intelligent, i.e., the blind-idiot-god counts.