Ok, but I don’t think that matters for the question of frequentist versus Bayesian. You’re still saying that the 50% is a property of something other than your own uncertainty.
Moving the problem to lexical uncertainty seems to me to rely on moving the question in time; you can only do this after you’ve done the experiment but before you’ve looked at the measurement. This feels to me like asking a different question.
Ok, but I don’t think that matters for the question of frequentist versus Bayesian. You’re still saying that the 50% is a property of something other than your own uncertainty.
Moving the problem to lexical uncertainty seems to me to rely on moving the question in time; you can only do this after you’ve done the experiment but before you’ve looked at the measurement. This feels to me like asking a different question.