In a previous post I mentioned that "other people write much better about physics, statistics and all that". If you want to see two recent examples read Normal Deviate about Stone's paradox and John Preskill about firewalls.
In the first case a commenter tries to provide an argument how a Bayesian could try to 'save the appearances'. I am not sure you will find it convincing.
In the case of the black hole firewalls L.M. wrote some important comments imho. I always thought that the key to resolving the 'information loss paradox' was the idea that one cannot distinguish the mixed state from a pure state with real experiments (following Dyson's argument, one needs planet sized detectors to determine the state of the gravitons emitted by the black hole, but those would distort the geometry one wants to determine so precisely).
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