III. Anthropic reasoning has issues with infinite worlds; D-SIA can fix this
SIA is true when there are no duplicates to worry about, and though it has issues around duplicate creation, so does every other theory of anthropic probability. More seriously, though, it has serious problems with worlds with infinite numbers of agents. Ironically, SIA is often used to argue for infinite numbers of agents – so it breaks in the very worlds that it advocates for. I’ll present D-SIA (Distributional SIA) which fixes most of these infinite world issues (with the right choice of prio...
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