I think this is not as bad as it first seems—I will try to write my next post on this.
I think objection one and two could be related some non-trivial way. Essentially, can we encode conditional probabilities with these order sensitive sums. This then implies complexity which makes Boltzmann brains unlikely, although this will not be simple in general.
Second, I would really be interested in building some good intuition for what the order commutators tell us ie do they have a measure?
I think objection one and two could be related some non-trivial way. Essentially, can we encode conditional probabilities with these order sensitive sums. This then implies complexity which makes Boltzmann brains unlikely, although this will not be simple in general.
Second, I would really be interested in building some good intuition for what the order commutators tell us ie do they have a measure?
Interesting, how so? I don’t see the reasoning yet.
Check out my post about Ord’s paper (I link a Claude chat there) and the original paper itself!