Resembling or characteristic of a demon; having qualities or appearance similar to demons.
From demon + -like (Old English suffix meaning 'of the form or nature of'). This formation is productive in English, allowing -like to attach to almost any noun to create comparisons.
Demonlike is interesting because it's often used for unsettling human behavior rather than actual demons—we call a person's actions 'demonlike' when they display cruelty we associate with our demon mythology, showing how demons are really projections of our worst fears.
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