I know it’s been a while since this comment, but I wanted to comment that sound deduction (ie, logical reasoning) on top of correct premises trumps other forms of evidence, even well-controlled, large-sample experiments.
As an analogy, I find fascinating the MWI vs Collapse debate at LW—Eliezer has concluded MWI wins as an outcome of pure reasoning. No empirical evidence required. It will be (is?) wonderful if (when?) we factorize large numbers quickly and that is evidence of MWI, but as above, it would be (is?) superfluous. If the reasoning offered by Eliezer is coherent (I don’t know enough to judge), case closed. Please correct me if I have misunderstood. Thanks
Edit: MWI paragraph added.
Jank comments on Why is Mencius Moldbug so popular on Less Wrong? [Answer: He’s not.]