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And if I'm incorrect about the Geiger counter being a measurement, then would I be correct to assume that by the same logic, if you conducted a double slit experiment, and you put photon detectors by both slits, but you never actually look at the wall on the other side, that Schrödinger would suggest that the photon detectors by themselves were insufficient to collapse the wave function?

I get that Schrödinger used this thought experiment as a reductio ad absurdum, but I don't understand why the Copenhagen interpretation would require the cat to be in some undead quantum state.