A Priori has always just seemed to me like another way to describe what we call “assumption” in classical logic. You can’t deduce anything in classical logic without starting from certain assumptions and seeing what you can deduce from them, and one of the strengths of classical logic is that it forces you to actually list your assumptions up front, so someone else can say “I agree with your reasoning, but I think your assumption “B” is invalid”.
Trying to take assumptions apart, see if they are valid, see if they can either be proven inductively from evidence or deductively from other assumptions, and trying to figure out where that specific assumption comes from, is a very valid thing to do (hitting the “explain” button), but on some level, I think you are always going to have to have some assumptions in order to use any logical system (either classic logic, or Bayesian reasoning).
A Priori has always just seemed to me like another way to describe what we call “assumption” in classical logic. You can’t deduce anything in classical logic without starting from certain assumptions and seeing what you can deduce from them, and one of the strengths of classical logic is that it forces you to actually list your assumptions up front, so someone else can say “I agree with your reasoning, but I think your assumption “B” is invalid”.
Trying to take assumptions apart, see if they are valid, see if they can either be proven inductively from evidence or deductively from other assumptions, and trying to figure out where that specific assumption comes from, is a very valid thing to do (hitting the “explain” button), but on some level, I think you are always going to have to have some assumptions in order to use any logical system (either classic logic, or Bayesian reasoning).