III. Anthropic reasoning has issues with infinite worlds; D-SIA can fix this

·LessWrong··

tldr: SIA breaks in many infinite worlds. However, a general insight of what SIA does is that it refuses to pay the Bayes cost for self-location information. It is instead pre-reimbursed for future Bayes costs. For n uniform agent possibilities, the Bayes cost is 1/n and the pre-reimbursment is thus n. Over non-uniform distributions, the expected Bayes cost is used, mjx-math { display: inline-block; text-align: left; line-height: 0; text-indent: 0; font-style: normal; font-weight: normal; font-s...

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