You’re about to flip a quantum coin a million times (these days you can even do it on the internet). What’s your estimate of the K-complexity of the resulting string, conditional on everything else you’ve observed in your life so far? The Born rule, combined with the usual counting argument, implies you should say “about 1 million”. The universal prior implies you should say “substantially less than 1 million”. Which will it be?
EDIT: Wei Dai’s comment explains why this post is wrong.
Born rule or universal prior?
You’re about to flip a quantum coin a million times (these days you can even do it on the internet). What’s your estimate of the K-complexity of the resulting string, conditional on everything else you’ve observed in your life so far? The Born rule, combined with the usual counting argument, implies you should say “about 1 million”. The universal prior implies you should say “substantially less than 1 million”. Which will it be?
EDIT: Wei Dai’s comment explains why this post is wrong.