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In certain extreme situations, the law is inadequate. In order to shame its inadequacy, it is necessary to act outside the law. To pursue... natural justice. This is not vengeance. Revenge is not a valid motive, it's an emotional response. No. Not vengeance. Punishment.
— Frank Castle ‧ The Punisher

Behind the line May contain spoilers.
Our reading
An editorial interpretation.
The speaker argues that when the law fails badly enough, acting outside it is necessary to expose its shortcomings. The speaker calls this natural justice, insists it is not vengeance because revenge is merely an emotional reaction, and settles on the word punishment.
Context reviewed