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Douglas_Knight comments on Why Many-Worlds Is Not The Rationally Favored Interpretation - Less Wrong
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I think the most charitable interpretation of CS is that if you want to make an actual observation in many worlds, you have to model your measurement apparatus, while if you believe in collapse, then measurement is a primitive of the theory.
Maybe I misunderstand you and this is a non sequitur, but the point is to apply decoherence after the measurement, not (just) before.