I think the issue at hand is that 0 and 1 aren’t special cases at all, but very important for the math of probability theory to work (try and construct a probability measure where some subset doesn’t have probability 1 or 0).
This is incredibly necessary for the mathematical idea of probability ,and EY seems to be confusing “are 0 and 1 probabilities relevant to Bayesian agents?” with “are 0 and 1 probabilities?” (yes, they are, unavoidably, not as a special case!).
I think the issue at hand is that 0 and 1 aren’t special cases at all, but very important for the math of probability theory to work (try and construct a probability measure where some subset doesn’t have probability 1 or 0).
This is incredibly necessary for the mathematical idea of probability ,and EY seems to be confusing “are 0 and 1 probabilities relevant to Bayesian agents?” with “are 0 and 1 probabilities?” (yes, they are, unavoidably, not as a special case!).