If they were both false, that would make the first inscription true.
Indeed. So the inscription is both true and false. You got a problem with that? ;)
If something is both true and false, then it becomes trivial to prove that any given fact is true. This is called the principle of explosion.
If it’s neither true nor false, that doesn’t happen.
To make definitions clear, I am using “X is false” to mean “Not X is true”, rather than “X is something other than true”.
Indeed. So the inscription is both true and false. You got a problem with that? ;)
If something is both true and false, then it becomes trivial to prove that any given fact is true. This is called the principle of explosion.
If it’s neither true nor false, that doesn’t happen.
To make definitions clear, I am using “X is false” to mean “Not X is true”, rather than “X is something other than true”.