whowhowho comments on If Many-Worlds Had Come First - Less Wrong
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There's no form of decoherence which is equivalent to ontological collapse, to actually snipping off branches. (Penrose has a nice discussion of this somewhere). So decoherence as an interpretation can't be saying anything different to what MWI says as an interpetation.. Decoeherence just gives an criterion --albeit a fuzzy and subjective one -- for world-formation.