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JGWeissman comments on A note on the description complexity of physical theories - Less Wrong
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Your Copenhagen Interpretation looks like starting with Many Worlds, and then rejecting the implied invisible worlds as an additional assumption about reality.
My Copenhagen interpretation (the one I use to demonstrate ideas about the Copenhagen interpretation, not necessarily the interpretation I use when thinking about problems) looks like the Copenhagen Interpretation. And yes, it is close to what you said. But it's not quite that simple, since all the math is preserved because of stuff like entanglement.