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Feel strange as i call myself a system thinker *because* i believed that a grand model is not possible and that models are at best local (in all dimensions). That said, i may just live in different circles than the author ;)
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More 60s. In engineering, it's usually either called controls or systems and control. People who use "systems theory" tend to be either Wiener-cybernetics people, or from the "system dynamics" fork due to Jay Forrester (stock-flow diagrams and such... Limits to Growth for eg)
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Bateson was in cybernetics gang iirc. He extended it into social sciences. I don’t know that I’d say there’s really 2 uses of the term. The truly distinct thing would be Santa Fe/chaoplexity crowd who do things in a meaningfully different way and call it complex systems theory