Definition of given preposition from the Oxford Advanced Learner's Dictionary

 

given

 preposition
preposition
BrE BrE//ˈɡɪvn//
 
; NAmE NAmE//ˈɡɪvn//
 
 
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when you consider something Given his age (= considering how old he is), he's remarkably active. Given her interest in children, teaching seems the right job for her. Word Origin Middle English: past participle of give.
See the Oxford Advanced American Dictionary entry: given