There is no point in arguing with a fool.You should never argue with foolish people. This is because they will bring you to their level in the debate and then they will also beat you with their experience. There is no basis for the thinking and understanding of foolish people.
To argue with such people means that you too will be forced to think or act like them. When the person in front of you constantly talks without any heads or tails, then it is natural for you to get angry. He will try to force the knowledge of his understanding on you by saying that your sensible concepts are fake. When he does not understand you, then inadvertently you will (may) try to explain it in his language.
However, it is difficult to win over foolish persons because unlike you, their arguments will be based on the way they think and also they have the experience of talking irrationally. In this case, all your knowledge will be reduced to nothing in front of a foolish person. That is why it is said that there is no point in arguing with a fool.