The law of excluded middle is one of the three fundamental laws of logic.Accord-ing to Aristotle's ideas,it can be expressed more generally as follows:for the exhaustion of all possibilities,at least one possibility exists.Through a purely rational analysis of"possibility",a unified interpretation of the reasonableness of the three fundamental laws of logic can be given from the point of view of classification,and this reveals another imperceptible error that violates the law of excluded middle-"false dilemma".By ap-plying the law of excluded middle,we can re-analyze such puzzles as the"proof that God is not omnipotent"and the"paradox of the court",and find that they all make the mistake of"false dilemma".The law of excluded middle is an important tool for rational analysis.