4.1.3 Inconsistency The fact that the sentences ; John is alive and John is dead, are neither true neither false when they refer to the same individual but, rather, one must be true and the other false. Also, I am an orphan is inconsistent with I have a father. So the rule of inconsistency is Xis inconsistent with Y If Xis true, Y is false, also if Y is true, Xis false. If our example is like this ; I am an orphan and He has a father, can we say one entails the other Of course not, because the subject in the latte is not the same with the former, therefore the latter cannot be said to be false in case it seemed to be influenced by the former and seems to be false.
