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Why? The analogy works just as well for temperature of water in a boiler, and the thermostat that modifies heating power inversely to the current temperature of the water.

Both are scalars in that example, and the basic problem remains.



You have a point there. But going with your example, the ideal gas law (PV = nRT) still models a system where all inputs are known. While not a perfect model, it's much better for predicting the performance of a thermodynamic system than most economic models are at predicting economic systems.


Yes, obviously. That's only a simplified analogy.

Another, more complex system: temperature of human body, temperature of air and perspiration.




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