Yes, you’re right. I was being too severe. We can’t “capture the meaning” probabilistically any better than we can with classical truth values if we assume that “capture the meaning” is best unpacked as “compute the correct value” or “converge to the correct value”. (We can converge to the right value in more cases than we can simply arrive at the right value, of course. Moving from crisp logic to probabilities doesn’t actually play a role in this improvement, although it seems better for other reasons to define the convergence with shifting probabilities rather than suddenly-switching nonmonotonic logic.)
The main question is: what other notion of “capture the meaning” is relevant here? What other properties are important, once accuracy is accounted for as best is possible? Or should we just settle for as much accuracy as we can get, and then forget about the rest of what “capture the meaning” seems to entail?
Yes, you’re right. I was being too severe. We can’t “capture the meaning” probabilistically any better than we can with classical truth values if we assume that “capture the meaning” is best unpacked as “compute the correct value” or “converge to the correct value”. (We can converge to the right value in more cases than we can simply arrive at the right value, of course. Moving from crisp logic to probabilities doesn’t actually play a role in this improvement, although it seems better for other reasons to define the convergence with shifting probabilities rather than suddenly-switching nonmonotonic logic.)
The main question is: what other notion of “capture the meaning” is relevant here? What other properties are important, once accuracy is accounted for as best is possible? Or should we just settle for as much accuracy as we can get, and then forget about the rest of what “capture the meaning” seems to entail?