It seems to me that discussions of quantum immortality often founder on the 
fact that people don't make their assumptions about philosophy of mind 
explicit, or don't have a well-thought-out position on metaphysical issues 
relating to mind in the first place. For example, Jaques, are you assuming a 
purely physicalist metaphysics where the only truths are physical truths, or 
are you open to the idea that there might be truths about subjectivity (such as 
truths about what philosophers call 'qualia') which cannot be reduced to purely 
physical statements? Are you familiar with the ideas of philosopher David 
Chalmers, who takes the latter position? He doesn't advocate interactive 
dualism, where there's some kind of soul-stuff that can influence matter--he 
assumes that the physical world is "causally closed", so all physical events 
have purely physical causes, including all human behavior--but he argues that 
first-person subjective states and qualia are ontologically distinct from the 
brainstates that are associated with them, and that there may be some set of 
"psychophysical laws" which determine the relation between 
third-person-describable brainstates and first-person mental states. If one 
buys into the possibility of objective truths about mental states/qualia and 
psychophysical laws, it wouldn't be such a stretch to imagine that there may be 
objective truths about the first-person probabilities of experiencing different 
branches in either the MWI or duplication experiments in a single universe (so 
that you don't have to rely on decision theory, which depends on non-objective 
choices about which future possibilities you 'care' about, to discuss quantum 
immortality), and that these probabilities could be determined by some 
combination of an objective physical measure on different brainstates and some 
set of "psychophysical laws". If so, the question of quantum immortality would 
boil down to whether a given mind always has a 100% chance of experiencing a 
"next" observer-moment as long as a "next" brainstate exists somewhere, or 
whether there is some nonzero chance of one's flow of experience just 
ending.Jesse
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