apart from theories where what's wrong is your brain

(just amused by the possibility)

Also, it is possible that Peano arithmetic isn't consistent; if so, either the very concept of 'primality' doesn't make any sense, or it can just mess up the primality tests which were used in creation of (b) and (c), and the connection between "1159 if prime" and "this program outputs True and halts" as well.

Of course, it screws up any application of Cox's theorem here, even worse than in delusion case.