Third person singular of impose: to force or apply something on people, or to take unfair advantage of someone's kindness.
From Old French 'imposer,' combining 'im-' (Latin prefix meaning 'into' or 'upon') and 'poser' (to place or put). The sense shifted from simply 'placing upon' to forcefully applying rules or taxes.
The word 'impose' is literally about putting something onto something else, and you see this in related words like 'impose taxes' (put taxes on people), 'impose rules' (force rules onto behavior), and 'imposing' (buildings that put themselves visually on your attention)—the metaphor of physical placement runs through all these uses.
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