Depends on whether you consider facts or theory. Facts don't prevent logical arguments from seeming to work, but lack of free will is theory. When theory doesn't match facts, theory is wrong.
Fuzzy logic deals with truth values between 0 and 1. You can for example map water temperatures in such systems without having arbitrarily important cutoff points.
Such system often deal with uncertainty quite well including random noise on their inputs. The output ends up a function of both logic and randomness, but can still be useful.
Agreed, I don’t believe a system like that can access the platonic realm of mathematical truths. It’s clear that an electron doesn’t carry the laws of physics with it as it travels.
