Oh, also, re the original paper, I do think that even given SSA, Teru’s argument that Jack and Jill have equivalent epistemic perspectives is correct. (Importantly: As long as Jack and Jill uses the same SSA reference classes, and those reference classes don’t treat Jack and Jill any differently.)
Since the core mechanism in my above comment is the correlation between x2 and the total number of observers, I think Jill the Martian would also arrive at different Pr(A) depending on whether she was using SSA or SIA.
(But Teru doesn’t need to get into any of this, because he effectively rejects SSA towards the end of the section “Barking Dog vs The Martians” (p12-14 of the pdf). Referring to his previous paper Doomsday and objective chances.)
Oh, also, re the original paper, I do think that even given SSA, Teru’s argument that Jack and Jill have equivalent epistemic perspectives is correct. (Importantly: As long as Jack and Jill uses the same SSA reference classes, and those reference classes don’t treat Jack and Jill any differently.)
Since the core mechanism in my above comment is the correlation between x2 and the total number of observers, I think Jill the Martian would also arrive at different Pr(A) depending on whether she was using SSA or SIA.
(But Teru doesn’t need to get into any of this, because he effectively rejects SSA towards the end of the section “Barking Dog vs The Martians” (p12-14 of the pdf). Referring to his previous paper Doomsday and objective chances.)