Which term describes something incapable of being corrected or informed?

The term "incorrigible" specifically refers to someone or something that is beyond correction, reform, or improvement. It implies a persistent or habitual nature that resists change or modification, often in a negative or problematic context. For example, a person described as incorrigible might repeatedly engage in undesirable behavior despite attempts at intervention or guidance.

The other terms do not convey the same meaning. "Indifferent" indicates a lack of interest or concern, which does not imply an inability to be corrected. "Inert" means lacking the ability to move or act, thus not relating to the concept of correction or change. "Inimical" describes something that is harmful or hostile rather than being uncorrectable. Therefore, "incorrigible" is the most precise choice that captures the essence of being incapable of correction or informed change.