Under an Occam prior the laws already lean simple. SSA leaves that tilt unchanged, whereas SIA multiplies each world’s weight by the total number of observers in the reference class. That means SSA, relative to SIA, favors worlds that stay simple, while SIA boosts those that are populous once the simplicity penalty is paid. Given that, can we update our credence in SSA vs. SIA by looking at how simple our universe’s laws appear and how many observers it seems to contain?
Under an Occam prior the laws already lean simple. SSA leaves that tilt unchanged, whereas SIA multiplies each world’s weight by the total number of observers in the reference class. That means SSA, relative to SIA, favors worlds that stay simple, while SIA boosts those that are populous once the simplicity penalty is paid. Given that, can we update our credence in SSA vs. SIA by looking at how simple our universe’s laws appear and how many observers it seems to contain?