violence leads to more violence!?

I think violence will lead to more violence. For example, in the book Julius Caesar, in Act3 scene 1, and 3, conspirators were killing Caesar, (which is violence) which led to more violence, such as Antony and Octavius’ revenge against Brutus, and Cassius. Also Cinna, the poet was torn into pieces by the citizens, even though he was innocent. From these reasons and evidences, I think violence will lead to much more violence.