Gotham city's violence feeds Batman by giving him the task of taking out the criminal elements that were responsible for the violence in the city.
Batman is a force that terrorizes criminals. Due to his presence, these people were unable to easily maneuver their way through the law. He basically helped to combat crime.
Batman's thirst for vengeance moves him to try to protect the city. He has a frightening personality especially to those who were on the wrong side of the law.
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