This is the 9889th most frequent Japanese word.
認める
To recognize, admit, or approve.
In this sentence, "認める" is used to express recognizing or acknowledging someone's abilities or talents.
彼の才能を認める。
I acknowledge his talent.
Here, "認める" signifies accepting or admitting faults or errors.
自分の間違いを認めることは重要です。
It is important to admit one's mistakes.
In this context, "認める" is applied to formal approval or authorization.