Simplifying the anthropic impossibility result

I previously demonstrated an anthropic impossibility theorem, showing that in Duplicates Sleeping Beauty, there was no possible probability theory that obeyed both the martingale condition and "simple Bayes" in non-anthropic situations.This post will clarify and simplify the result, replacing the martingale with the inclusion-exclusion principle for probability and fully defining both Simple Bayes and what a non-anthropic situation is.Duplicates Sleeping Beauty. She is put to sleep on Sunday, an...