To allow someone to enter a place; or to acknowledge or confess something that is true, often reluctantly.
From Latin 'admittere,' combining 'ad-' (toward) and 'mittere' (to send or allow). It originally meant 'to send toward' before becoming 'to let in' and 'to acknowledge.'
Confessing something you did wrong is called 'admitting guilt,' and interestingly, cultures differ on whether admitting a mistake makes you look stronger or weaker—in some cultures it's seen as honest integrity!
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