disapproval If you describe someone as big-headed, you disapprove of them because they think they are very clever and know everything. an arrogant, big-headed man. = conceited. someone who is big-headed thinks they are very important, clever etc - used to show disapproval proud
used colloquially of one who is overly conceited or arrogant; "a snotty little scion of a degenerate family"-Laurent Le Sage; "they're snobs--stuck-up and uppity and persnickety