Which word means to punish severely or criticize greatly?

The word that means to punish severely or criticize greatly is "castigate." This term is often used in contexts where someone is reprimanded in a harsh or public manner, underscoring both the severity of the punishment or criticism and its intention to correct or reform behavior. The Latin roots of the word relate to punishment, which highlights its connotation of severe reprimanding or disciplinary action.

In contrast, "inter" refers to the act of placing a deceased body in a grave or tomb, while "largesse" pertains to generosity in giving, particularly in terms of gifts or donations. On the other hand, "cursory" describes something that is done hastily and without attention to detail. Each of these words conveys different meanings that are distinct from the notion of severe punishment or criticism, confirming that "castigate" is the appropriate choice.