Benito comments on What do rationalists think about the afterlife? - Less Wrong
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The situation is not analogous since whether the song stops or continues where it can't be heard no one experiences it. Consciousness, on the other hand, is always experienced by the conscious entity.
From an external point of view, the situation is analogous. Every time everyone's ever died, the evidence of their consciousness has ceased, and whenever a song has turn off, the evidence of it's being on has ceased. So to say that one has definitely ended, whilst the other one is fifty-fifty, seems a mistake.
The difference is that with consciousness there is also an internal point of view, with songs there isn't.