Simplifying the anthropic impossibility result

So. 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 law of total probability. Let's start by fully defining both Simple Bayes and what a non-anthropic situation is.Duplicates Sleeping Beauty. She is put to sleep on Sunday, and a c...