Are you implying that the presence of a detector instead of an obstacle changes what the other detectors detect, or not?
The text is unclear here:
Detector 1 goes off half the time and Detector 2 goes off half the time.
Does “half the time” mean “half the time that any detector goes off”, or “half the time you shoot a photon”? I would expect that, with the obstacle in place, half the time you shoot a photon no detector would go off, because the first mirror would deflect it into an obstacle. Seeing no detector go off is distinct and observable, so I don’t see any way it could be eliminated as a possibility like the other case described here where two possible timelines that lead to the same world interfere and cancel out. So I would assume Eliezer means “half the time that any detector goes off”. If so, I’d like to see the text updated to be more clear about this.
It means “half the time that any detector goes off”, assuming that the block is a bog-standard lump of wood and not a magical construct like the measurement tool.
Are you implying that the presence of a detector instead of an obstacle changes what the other detectors detect, or not?
The text is unclear here:
Does “half the time” mean “half the time that any detector goes off”, or “half the time you shoot a photon”? I would expect that, with the obstacle in place, half the time you shoot a photon no detector would go off, because the first mirror would deflect it into an obstacle. Seeing no detector go off is distinct and observable, so I don’t see any way it could be eliminated as a possibility like the other case described here where two possible timelines that lead to the same world interfere and cancel out. So I would assume Eliezer means “half the time that any detector goes off”. If so, I’d like to see the text updated to be more clear about this.
It means “half the time that any detector goes off”, assuming that the block is a bog-standard lump of wood and not a magical construct like the measurement tool.